For a given right triangle side a=76.4 ft and side b=39.3 ft. What is the measure of angle A to the nearest degree?

For A Given Right Triangle Side A=76.4 Ft And Side B=39.3 Ft. What Is The Measure Of Angle A To The Nearest

Answers

Answer 1
Final answer:

The measure of angle A in the right triangle with sides a=76.4 ft and b=39.3 ft can be found using the tangent function and is approximately 62 degrees when rounded to the nearest degree.

Explanation:

To find the measure of angle A in a right triangle with given sides a=76.4 ft and b=39.3 ft, we can use trigonometric functions. Since side a is opposite to angle A and side b is adjacent to angle A, we will use the tangent function, which is the ratio of the opposite side to the adjacent side. The formula to find the angle is angle A = tan∑(a/b).

Plugging in the values, we get:

angle A = tan∑(76.4/39.3)

By using a calculator, we find:

angle A = tan∑(1.9435) ≈ 62 degrees

Rounded to the nearest degree, the measure of angle A is approximately 62 degrees.


Related Questions

What number line represents the solution set for the inequality -1/2 greater
than or equal to 4

Answers

Answer:

[8, inifinity sign)

Step-by-step explanation:

(2)/1 x -1/2 (greater than or equal to sign) 4(2), You need to get rid of the fraction so times 2 on both sides.

So the fraction cancels out and your answer is x (greater than or equal to) 8

The open side of the sign always is facing the bigger number so like this > so x is positive.

Since i can't show the number line i'll try to explain it if it's a greater than sign its a closed dot on the 8 going right. The 8 is in a bracket and the infinity is with a parenthesis. like this [8, infinity sign)

My teacher may have taught me different but it should be about the same.

Hope my answer has helped you and if not i'm sorry.

jim works h hours in a week. to find his weekly pay he multiplies his hours by his pay of $10 per hour and adds $50 for his sales bonus. he's decided that he wanted to take one-tenth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?​

Answers

Answer:

Step-by-step explanation:

Take home pay = 10*h + 50       I assume the 50 is a flat rate.

Savings = 1/10 of the take home pay.

Savings = (10*h + 50)/10

PLEASE HELP K12

WILL MARK BRAINLYIST


What is the Length of the line segment with endpoints (12, 6 ) and (12, -9 )

Answers

Answer:

15

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (12, 6) and (12, -9). Substitute:

[tex]d=\sqrt{(12-12)^2+(-9-6)^2}=\sqrt{0^2+(-15)^2}=\sqrt{225}=15[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{The formula is:}\bf{\frac{y_2-y_1}{x_2-x_1}}[/tex] [tex]\text{ or you can say}\rightarrow[/tex] [tex]\frac{Rise}{Run}[/tex]

[tex]\text{y}_2=-9\\\\\text{y}_1=6\\\\\text{x}_2=12\\\\\text{x}_1=12[/tex]

[tex]\text{Now, that we know what our points are we could solve this equation}[/tex]

[tex]\frac{-9-6}{12-12}[/tex]

[tex]\text{-9 - 6 = -15}[/tex]

[tex]\text{12 - 12 = 0}[/tex]

[tex]\bf{= \ \frac{-15}{0}}[/tex]

[tex]\boxed{\boxed{\bf{Answer: \ \frac{-15}{0}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

What is the simplest form of this expression?
2x(x2 – 3) – 6x2



Answers

Answer:

-6x - 6x² + 2x³

Step-by-step explanation:

Match each like-term to end up with the above answer.

I hope this helps.

Which graph shows the solution to the system of linear inequalities below? Y>-2x+2 Y<2x-1

Answers

Answer:

That would be B.  Graph A.

Step-by-step explanation:

The  graph y < 2x - 1 is a dotted line which rises to the right with  a slope of 2 and passes through y = -1  and is shaded below the line. The graph y > -2 x +  2 rises to the left and passes through y = 2 and is shaded above the line.

if a school has w women and M men and you know that there are 100 more men than women write an algebraic equation relating W and M​

Answers

Answer:

W+100=M

Explanation:

So the problem says there will always be 100 more men than woman. So that would mean you just have to add the amount of women and 100 to find the number of men. For example, if there are 3 women, there will be 103 men.

Hope this helps ;)

Certainly! To create an algebraic equation representing the given situation, we can use the information that there are 100 more men than women at the school.

Let's use the variables:
- \( W \) to represent the number of women
- \( M \) to represent the number of men

The key piece of information that we have is that the number of men is 100 more than the number of women. We can write this relationship with an equation:

\[ M = W + 100 \]

This equation states that if you take the number of women (\( W \)) and add 100 to it, you will get the number of men (\( M \)). It directly translates the information given into an algebraic equation, showing the relationship between the number of women and the number of men in the school.

What is the length of segment AB?
Consider the diagram.
7,9,18,25

Answers

Answer:

9

Step-by-step explanation:

It is congruent to the other side.

PLEASE HELP ASAP.
Which graph has a correlation coefficient between the variables closest to 0?

Answers

No graph shown. Sorry

there was a total of 750 and 2015 crickets in a pond, the population increased by 17% the next year. The year after that the population decreased by 10%. what is the percent of change of population from the 2015 to 2017?​

Answers

Answer:

5.2% increase

Step-by-step explanation:

In 2015 the total population was 750.

In 2016 the total population was 17% more than in 2015, so 750 x 1.17 = 877.

In 2017 the total population was 10% less than in 2016, so 877 x 0.9 = 789.

Compared to 2015, the population in 2017 was 789/750 = 1.052 or 5.2% greater.

In one step:

((750 x 1.17) x 0.9) / 750 = 5.2%

Hello there!

In this question, we're going to need to find the population in 2017, while using the given information.

Answer: 5.3% increase

Lets gather the information we should know from the question.

Key information:

2015 -- Population of 750

Increased by 17% in the next year

Decreased by 10% the next year

With the information above, we can solve the problem.

We know that our starting population for crickets is 750, and it increases by 17% for the next year (2016), so we would multiply 750 by 1.17

[tex]750*1.17=877.5[/tex]

Our population in 2016 is 877.5.

Now, we know that he population in 2016 decreased by 10% going into 2017. We would need to find how much of 877.5 is 10%, and then subtract.

[tex]877.5*.10=87.75\\\\877.5-87.75=789.75[/tex]

When you're done solving, you should get 789.75

This means that the population of crickets in 2017 is 789.75.

Now, we know that we started with 750 crickets, now we have 789.5 crickets.

We would divide 789.5 by 750.

[tex]789.5\div750=1.053[/tex]

We would move the decimal place two times to the right, giving us 5.3.

This means that the population increased by 5.3% from 2015 to 2017.

I hope this helps!Best regards, MasterInvestor.

Use the diagram below to solve for x and y.

Answers

Answer:

Option A. x=30,y=42

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and ZYX have three congruent interior angles

therefore

Triangles are similar

step 1

Find the value of x

[tex]\frac{ZY}{AB}=\frac{ZX}{AC}[/tex]

substitute the values

[tex]\frac{20}{x}=\frac{12}{18}[/tex]

[tex]x=20*18/12=30\ units[/tex]

step 2

Find the value of y

[tex]\frac{ZY}{AB}=\frac{XY}{CB}[/tex]

substitute the values

[tex]\frac{20}{30}=\frac{28}{y}[/tex]

[tex]y=30*28/20=42\ units[/tex]

what is the equation of (4,10),(6,11) in standard form?​

Answers

ANSWER

The standard form is:

[tex]x - 2y = - 16[/tex]

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

[tex]m = \frac{11 - 10}{6 - 4} [/tex]

[tex]m = \frac{1}{2} [/tex]

The equation is given by the formula,

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the first point and the slope to get.

[tex]y-10= \frac{1}{2} (x-4)[/tex]

[tex]2y - 20 = x - 4[/tex]

[tex]x - 2y = - 20 + 4[/tex]

[tex]x - 2y = - 16[/tex]

The standard form is

[tex]x - 2y = - 16[/tex]

Write two fractions with different denominators whose LCD is 45

Answers

Answer:

2/5 and 8/9  (answers can vary)

Step-by-step explanation:

The lcm of 5 and 9 is 45 so that works for our denominators.

So 2/5 and 8/9 (the answers are many)

Answer:

1/45 and 8/90

Step-by-step explanation:

Between these two fractions, the lowest shared denominator is 45.

What is the area of a circle with a radius of 8 inches? Use  = 3.14

Answers

Answer:

200.96 inch²

Step-by-step explanation:

formula for a circle: (pi) x r²

pi= 3.14

3.14 x 8²

=200.96 inch²

For this case we have by definition, that the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

A: It is the radius of the circle

They tell us as data that the radius is 8 inches.

Substituting we have:

[tex]A = \pi * (8) ^ 2\\A = \pi * 64\\A = (3.14) (64)\\A = 200.96[/tex]

Thus, the area of the circle is [tex]200.96 \ in ^ 2[/tex]

Answer:

[tex]200.96 \ in ^ 2[/tex]

An international equity mutual funds includes, american stock ,japanese stock,german. Stock , british stock in the ratio of 27:19:14:11 respectively. If its current holdings of german stocks are valued at us$238 millions what are the values of its holdings in the securities of other 3 countries

Answers

Give me BRAINLIEST please

let's say the total holdings for the company, or namely the total quantity for the ratios is say hmmm "x", and we were to split "x" in quantities of 27:19:14:11 ratio, what we do is, we simply divide "x" by (27+19+14+11), and then distribute accordingly.

so, if we divide the total amount like that, we end up with fragments of the total, and each ratio gets so many fragments.

so, we know the German stock or that ratio gets $238 millions, and in those 238, since it's on a 14 ratio, there are 14 of those fragments of the total, how much is a fragment anyway?  well, simply how many times does 14 go into 238?  238 ÷ 14 = 17.

well, since we know the whole total of the holdings was split in fragments of 17, let's simply distribute accordingly.

[tex]\bf \stackrel{American}{27(17)}~~:~~\stackrel{Japanese}{19(17)}~~:~~\stackrel{German}{14(17)}~~:~~\stackrel{British}{11(17)} \\\\\\ \stackrel{American}{459}~~:~~\stackrel{Japanese}{323}~~:~~\stackrel{German}{238}~~:~~\stackrel{British}{187}\qquad \textit{in millions}[/tex]

Using the diagram on the right, find the length of GT and TA.

Answers

Answer:

[tex]GT=10\ units[/tex]  and [tex]TA=6\ units[/tex]

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{GR}{GE}=\frac{GT}{GA}[/tex]

we have

[tex]GR=5\ units[/tex]

[tex]GE=5+3=8\ units[/tex]

[tex]GT=16-x\ units[/tex]

[tex]GA=16\ units[/tex]

substitute

[tex]\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units[/tex]

therefore

[tex]GT=16-x=16-6=10\ units[/tex]

[tex]TA=x=6\ units[/tex]

Johnny has 19 bottles of dish soap and he gives Jeina 5. How much dish soaps will he have now?

Answers

Answer:

14 dish soaps

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina

19 - 5 = 14

Answer:

14

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina  

19 - 5 = 14

A large rectangular movie screen in an IMAX theater has an area of 6,699 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide
Length =
Width =

Answers

Answer:

Length=87 ft

Width=77 ft

Step-by-step explanation:

Let

L ----> the length of rectangular movie screen

W ----> the width of rectangular movie screen

we know that

The area is equal to

[tex]A=LW[/tex]

[tex]A=6,699\ ft^{2}[/tex]

so

[tex]6,699=LW[/tex] ----> equation A

[tex]L=W+10[/tex] ----> equation B

substitute equation B in equation A

[tex]6,699=(W+10)W\\ \\W^{2} +10W-6,699=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]W=77\ ft[/tex]

see the attached figure

Find the value of L

[tex]L=77+10=87\ ft[/tex]

Which equation represent the line that is perpendicular to the line 5x-2y=-6 and passed through the point (5,-4)?

Answers

Y=2/5 x-2 I think that’s the answer plz wait for other to answer

To find the equation of a line perpendicular to 5x - 2y = -6 and passing through (5, -4), first determine the slope of the given line and then find the negative reciprocal of that slope. Using point-slope form with the new slope and the given point, the equation is y = - (2/5)x - 2.

To find the equation of the line that is perpendicular to the given line 5x - 2y = -6 and passes through the point (5, -4), follow these steps:

Step 1: Find the slope of the given line

Rewrite the given line in slope-intercept form (y = mx + b):

5x - 2y = -6
-2y = -5x - 6
y = (5/2)x + 3

The slope (m) of the given line is 5/2.

Step 2: Find the slope of the perpendicular line

The slope of the line perpendicular to another is the negative reciprocal. Thus, the slope of the perpendicular line is -2/5.

Step 3: Use the point-slope form

Using the point (5, -4) and the slope -2/5 in the point-slope form (y - y1 = m(x - x1)):

y - (-4) = - (2/5)(x - 5)
y + 4 = - (2/5)x + 2
y = - (2/5)x - 2

Therefore, the equation of the line that is perpendicular to 5x - 2y = -6 and passes through the point (5, -4) is y = - (2/5)x - 2.

A shirt originally cost $50.97, but it is on sale for $40.78. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.

Answers

Answer:

20% decrease.

Step-by-step explanation:

difference over original

50.97-40.78= 10.19

diff/orig=sales tax

10.19 / 50.97= 19.99..

19.99 is approximately 20.

What is the slope of the line that passes through the points (3, 1) and (8,3)
Please help I need this before it hits 12

Answers

Answer:

2/5

Step-by-step explanation:

Rise over run

Difference of y over the difference in x

Answer:

The slope is 2/5

Step-by-step explanation:

The slope formula is delta y over delta x.  If you insert the coordinates the equation is 1-3 / 3-8 = -2/-5 = 2/5.  The slope is 2/5

15 points
Line AB←→ passes through the points A(3,−1) and B(1,7).

Which lines are parallel to AB←→?

THIS IS MULTIPLE CHOICES
y=−4x
y=−4x+8
y=4x
y−1=2(x+2)
y+1=−4(x+1)
y=4x+7
y=2x−3
y−6=−4(x−3)

Answers

Lines that are parrellell presume to have the same slope.

So if we just calculate the slope of a function or a line we should be good.

[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Now put in the data from the coordinates of the points [tex]A(3,-1)\wedge B(1,7)[/tex]

[tex]s=\dfrac{7-(-1)}{1-3}=\dfrac{8}{-2}=\underline{-4}[/tex]

The form of a function now looks like: [tex]

f(x)\vee y=-4x+n[/tex]

From here we are no longer required to calculate anything more. Leave n alone.

The solutions are the equations of the form above.

That would mean:

[tex]

y=-4x \\

y=-4x+8 \\

y+1=-4(x+1) \\

y-6=-4(x-3)

[/tex]

Hope this helps.

Which of the following is not a real number?

Answers

Answer:

D

Step-by-step explanation:

by definition, the square root of an negative number is known as an imaginary number. i.e Not a real number

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex][tex]\sqrt{-1}[/tex] = [tex]\sqrt{2}[/tex]i (imaginary number)

The [tex]\sqrt{-2}[/tex] is not a real number.

The following information should be considered with respect to the real number:

The numbers should be found in the number line. It should be in fractions, whole, naturals, rational, irrational. But it can't be in imaginary numbers.

Therefore, the first three options are considered to be the real number.

Thus we can conclude that the [tex]\sqrt{-2}[/tex] is not a real number.

Learn more: brainly.com/question/17429689

If 20% of a number is 12, what is 30% of the same number?

Answers

Answer:

The answer would be 18.

Step-by-step explanation

If 20% of a number is 12, then 30% of that same number would be 18. This means that the number would be 60 (6×2=12, 6×3=18). Hope this helps you to understand your math problem better!

What are the possible steps involved in solving the equation shown? Check all that apply.

3.5 + 1.2(6.3 – 7x) = 9.38

Add 3.5 and 1.2.
Distribute 1.2 to 6.3 and –7x .
Combine 6.3 and –7x .
Combine 3.5 and 7.56.
Subtract 11.06 from both sides.
Divide both sides by 9.38.

Answers

Answer:

B) Distribute 1.2 to 6.3 and –7x

D) Combine 3.5 and 7.56

E) Subtract 11.06 from both sides

Answer:

b, d, and e :)

Identify the vertex of the graph Tell whether it is a minimum or a maximum​

Answers

Answer:

(1,2)  maximum

Step-by-step explanation:

The vertex is the the point on the graph where the graph does a "u-turn".

this point can either represent the maximum value or the minimum value depending on which way the graph is facing.

In this case, the graph looks like an "n" (as opposed to a "u").

We can clearly see that the point where the graph makes a U-turn is (1, 2)

we can also see that no part of the graph extends above this point, hence this point represents the maximum value which y could possibly be.

Hence (1,2) is maximum

Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!

Answers

Answer:

[tex]\large\boxed{x<-3\ or\ x>6}[/tex]

Step-by-step explanation:

[tex]x+7<4\qquad\text{subtract 7 from both sides}\\\\x+7-7<4-7\\\\x<-3\\\\7-x<1\qquad\text{subtract 7 from both sides}\\\\7-7-x<1-7\\\\-x<-6\qquad\text{change the signs}\\\\x>6[/tex]

Step-by-step explanation:

all work is pictured and shown

The figure shows a parallelogram inside a rectangle outline:



What is the area of the parallelogram?

A) 1/25 square feet
B) 11/25 square feet
C) 3/25 square feet
D) 4/25 square feet

Answers

A = base x height

A = (3/5 - 1/5) x 2/5

A = 2/5 x 2/5

A = (2/5)²

A = 2²/5²

A = 4/25

The answer is D) 4/25 square feet.

Find the difference 28y-16y

Answers

Answer:

12y

Step-by-step explanation:

28y - 16y

Factor out a y

y(28-16)

y(12)

The difference is 12y

56 coins = $9.80. how many are quarters how many are nickels​

Answers

Answer:

So there are 35 quarters and 21 nickels.

Step-by-step explanation:

So I guess that is all we have is quarters and nickels.

Quarters are worth .25

Nickels are worth .05

Let x represent the number of quarters

Let y represent the number of nickels

x+y=56

.25x+.05y=9.8

We are going to solve this system.

I'm going to use substitution. I will solve the first equation for y and then plug that into the second equation.

y=56-x  

.25x+.05(56-x)=9.8

.25x+2.8-.05x=9.8

.20x+2.8=9.8

.2x          = 7

 x=7/(.2) or 7*5=35

y=56-x

y=56-35=21

So there are 35 quarters and 21 nickels.

Answer:

A) n + q = 56

B) .05n + .25q = 9.80

We multiply A) by -.25

A) -.25n -.25q = -14  then add it to equation B)

B) .05n + .25q = 9.80

-.2n = -4.20

nickels = 4.20 / .20 = 21

quarters = 35

Step-by-step explanation:

the length and width of a rectangle are consecutive even integers. the area of the rectangle is 8 square units. what are the length and width of the rectangle?

Answers

Answer: 4 feet and 2 feet

Step-by-step explanation: The only factor of 8 that is an even integer is 4 and 2. So the answer is 4 feet and 2 feet.

Other Questions
Which functions are even? check all the boxes that apply.pls hurry!! A player uses a hockey stick to push a puck at a constant velocity across the ice. The weight of the puck is 170 N. Thecoefficient of friction is 0.0600. With what force must the player push the puck so that his force just equals the frictionalforce?28.3 N0.999 N0.102 N0.0104 N When was hispanic heritage first celebrated in the US? Classify the triangle.scaleneequilateralisosceles who killed Mahatma Gandhi Why does a red shoe appear red in daylight Mr. Shaw graphs the function f(x) = 5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed? For Mexican American infants born in Arizona in 1986 and 1987, the probability that a child's gestational age is less than 37 weeks is 0.142 and the probability that his or her birth weight is less than 2500 grams is 0.051. Furthermore, the probability that these two events occur simultaneously is 0.031. Please show work!a. are A and B independent?b. For a randomly selected Mexican American newborn, what is the probability that A or B or both occur?c.What is the probability that event A occurs given that event B occurs? Which structure may be used to store food? -taproot -root hair -root cap -fibrous root which characteristics gives a live radio play of a story an advantage over the book of the same story The average value of the function F (T) =(t-4)^2 on [0,9] is Think about the system associated with the equation x2+x+ 6 = 2x+ 8.Which graph represents the system? The basic types of tissue in the human body are The power of (-7)4 is negative. True False group formed to protect artisans and increase their profits James wants to build a wooden barrel to hold rain water to use for irrigation. He wants the height of the barrel in feet to be 4 lessthan the area of the base in square feet. He also wants the area of the base in square feet to be equal to its perimeter in feet. Healso needs to place a pump inside the barrel to move the collected water. After the pump is put inside the barrel, he needs it tostill hold at least 90 cubic feet of waterThe cost for the materials to build the barrel will be 58 per square foot. Since the barrel is meant to catch rain water, he will notneed a top. The cost of the pump is proportional to its volume. For each cubic foot of volume that the pump takes up the costwill be 550 James can only afford to spend up to $1,100 on this projectIf x represents the area of the base of the barrel in square feet and y represents the volume of the pump in cubic feet, then whichof the following systems of inequalities can be used to determine the dimensions of the barrel and the volume of the pump? Last year, Scott had 10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. After one year, he received a total of $740 in interest. How much did he invest in each account? How is radar used to forecast weather An exam was given to a group of freshman and sophomore students. The results are below: Freshman: 106 got As, 130 got Bs, and 149 got Cs. Sophomore: 192 got As, 118 got Bs, and 168 got Cs. If one student is chosen at random from those who took the exam, find the probability that: b)The student was a freshman or received a C . c) The student was a sophomore, given they got a C. d) The student got an A, given they are a freshman. *round to 4 decimal places as needed* Where is the famous mona lisa painting housed?