I really need help on question 22, can anyone help me?!

I Really Need Help On Question 22, Can Anyone Help Me?!

Answers

Answer 1

Answer:

First, we need to find the missing side which is BC ( using pythagorean theorem)

AB² + BC² = AC²

=> 16² + BC² = 20²

=> BC²          = 20² - 16² = 144

=> BC           = √144 = 12

Now apply the formulars:

Just to make things easier, let's point out exactly what will the hypotenuse, opposite side and adjacent side.

So in this case:

The hypotenuse will be AC

The opposite side (of angle A) is BC

The adjacent side (of angle A) is AB

Therefore:

sin A = opposite/hypotenuse = BC/AC = 12/20 = 3/5

cos A = adjacent/hypotenuse = AB/AC = 16/20 = 4/5

tan A = opposite/adjacent = BC/AB = 12/16 = 3/4


Related Questions

Solve |x| + 7 < 4.

{x | x < -11 or x > -3}

{x | -3 < x < 3}

Ø

Answers

Answer: ur inbox in y=my+b form

Step-by-step explanation:

Which is the graph of the linear function that is represented by the equation y=1/2x-2?

Answers

The slope of the equation is 1/2, and the y-intercept is -2.

So, the graph that has a slope of 1/2 and a negative y-intercept of 2 is this graph:

which of the following graphs represent the equation y=3x+2

Answers

Answer:You haven't attached a picture but this is what your line should look like

Step-by-step explanation:

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Flips

Answer:

is there a graph

Step-by-step explanation:

What is the reference angle for 7 pi/6?

Answers

Answer:

[tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

[tex]\frac{7\pi }{6}[/tex] is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = [tex]\frac{7\pi }{6}[/tex] - π = [tex]\frac{\pi }{6}[/tex]


Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muffins requires 1 lb of dough and a pack of waffles uses
3
4
lb of dough. It take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. Their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. How many of each should they make to maximize profit, if they have just 20 hours to do everything?

Answers

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

20 points for one question. You know you want to.

Answers

Answer:

The answer is A.

Step-by-step explanation:

We only have to test one coordinate to find the answer. The original coordinate for N is (-1, -1). Using the formula, N' is (0, -2).

You see, it's quite easy. All you need to do is find the coordinates of FNQ, then add the 1 to the x values and subtract 1 from the y values as stated in the translation rule.  

However, in your case, you don't have numbers on your graph but you can easily draw some. Be mindful of the quadrants.

Let's try out point F just for gags.

F = (3, 3)  

(Technically you only need one point to determine the answer.)

Now, apply rule: x + 1, y - 1

(3, 3) becomes (4, 2)  

Now, which multiple choice answer contains that specific point for F?  

Choice A.

line L passes through points (0,4) and (3,6) what is the slope of a line that is parallel to line L

-2/3
-3/2
2/3
3/2

Answers

Answer:

Option C is correct.

Step-by-step explanation:

The formula to find the slope given two points is:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

We are given points (0,4) and (3,6)

where x₁ = 0 , y₁ = 4, x₂=3 and y₂=6

Putting values in the formula:

[tex]slope = \frac{6-4}{3-0} \\slope = \frac{2}{3}[/tex]

So, slope is 2/3

Since the slope of line to be found is parallel to line L. So both lines have the same slope.

Slope of line parallel to line L = 2/3

Option C is correct.

A teacher has assigned numbers 1-8 to eight students in a classroom. The numbers of all the students are put in a basket. The teacher selects a number and replaces it in the basket. Then the teacher selects a second number. Find P(student 1, then student 8).

Answers

Answer:

There is a 1/64 possibility.

Step-by-step explanation:

Since the probability of selecting student 1's number is 1/8 and then replacing it leaves us with still 8 numbers to choose from, so student 8's probability of being selected is also 1/8. Multiplying these two gives P=1/64, since (1/8)^2 = 1/64.

Hope this helps!

Answer:

1/64 possibility

Explanation:

Multiply the numbers by the number of students(8x8) to get 64. That means there is 1 in 64 chances. 1/64

have a great day

evaluate 6+4/a +b/3 then a =4 and b=3

Answers

Answer:

8

Step-by-step explanation:

Plug in a =4 and b=3 into  6+4/a +b/3

6 + 4/4 + 3/3

= 6 + 1 + 1

= 8

Answer:

The answer would be 8.

Step-by-step explanation:

Here the given expression,

[tex]6+\frac{4}{a}+\frac{b}{3}[/tex]

By substituting a = 4 and b = 3 in the above expression,

We get,

[tex]6+\frac{4}{4}+\frac{3}{3}[/tex]

[tex]=6+1+1[/tex]

[tex]=8[/tex]

Therefore, the value of the given expression would be 8.

A park ranger is shining a spotlight to try to count wildlife at night. She
starts with a beam that has an angle of 45°. She then increases the angle
of the beam to 60°.
Which statement most accurately describes the relationship between
segments of the triangles formed by the beam?​

Answers

Answer:

The statement most accurately describes the relationship between

segments of the triangles formed by the beam is AC < DF

Step-by-step explanation:

* Lets study the figure to answer the problem

- There are two triangles ABC and DEF

- AB = BC

- DE = EF

- AB = DE

∴ AB = BC = DE = EF

- m∠ABC = 45°

- m∠DEF = 60°

∵ The measure of angle ABC is smaller than the measure of

   angle DEF

∴ The opposite side to the angle ABC is shorter than the opposite

   side of angle DEF

∵ AC is the opposite side to angle ABC

∵ DF is the opposite side to angle DEF

∴ AC is shorter than DF

∴ DF > AC

∴ AC < DF

* The statement most accurately describes the relationship between

  segments of the triangles formed by the beam is AC < DF

What is the slope of the graph? Leave your answer as a reduced fraction.

Slope =

Identify the y-intercept. Write as a coordinate.

y-intercept =

Write an equation in slope-intercept form for the graph above.

y=

Answers

Answer:

Slope = 3/2

Y-intercept = 2

Slope-intercept Form: y = 3/2x + 2

Slope = 3/2Y-intercept = 2Slope-intercept Form: y = 3/2x + 2What is slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

As, per the graph

slope= rise/ run

slope= 3/2

and, y- intercept is of 2 units.

So, equation of slope intercept form will be,

y= mx+c

y= 3/2 x+ 2

2y= 3x+4.

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A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm²

Answers

Answer: [tex]158cm^2[/tex]

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

[tex]SA = 2(wl +lh + hw)[/tex]

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

[tex]SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2[/tex]

Answer:

Surface area of prism = 158 cm²

Step-by-step explanation:

Points to remember

Surface area of rectangular prism = 2(lb + lh + bh)

Where l - Length, b - Breadth and h - Height

To find the surface area of prism

Here l = 8 cm, b = 3 cm and h = 5 cm

Surface area = 2(lb + lh + bh)

 = 2[(8*3)  + (8 * 5) + (3 *5)]

 = 2[24 + 40 + 15]

 = 2 * 79

 =158 cm²

Surface area of prism = 158 cm²

15 The heights, in inches, of 12 students are listed below.
61, 67, 72, 62, 65, 59, 60, 79, 60, 61, 64, 63
Which statement best describes the spread of these
data?
(1) The set of data is evenly spread.
(2) The median of the data is 59.5.
(3) The set of data is skewed because 59 is the only
value below 60.
(4) 79 is an outlier, which would affect the standard
deviation of these data.​

Answers

The statement that best describes the spread of these data is 79 is an outlier, which would affect the standard deviation of these data

What is an outlier?

An outlier is a piece of data that is an abnormal distance from other points.

In other words, an outlier is any value that is numerically distant from most of the other data points in a set of data.

The outlier in the set of data is 79 because it is quite distance from the other numerical value

Generally, outliers significantly affects the standard deviation of data.

Therefore, 79 is an outlier, which would affect the standard

deviation of these data

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Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.

Answers

Answer:

x = 1.25

y = 0.75

Step-by-step explanation:

Let $x be the cost per pound of apples

Let $y be the cost per pound of bananas

5x + 3y = 8.5  --- (1)

3x + 2y = 5.25  --- (2)

From (1),

3x + 1.8y = 5.1  --- (1a)

Subtract (1a) from (2),

(3x + 2y) - (3x + 1.8y) = 5.25 - 5.1

3x - 3x + 2y - 1.8y = 0.15

0.2y = 0.15

y = 0.15 / 0.2 = 0.75

x = [ 5.25 - 2(0.75) ] / 3 = 1.25

Given: See the diagram.
Prove: DC = DB






Statement

Reason

1. given
2. AG = GC given
3. is the perpendicular
bisector of . deduced from steps 1 and 2
4. DA = DC
5. given
6. AH = HB given
7. is the perpendicular
bisector of . definition of perpendicular bisector
8. DA = DB deduced from steps 6 and 7
9. DC = DB Transitive Property of Equality

What is the reason for the fourth and eighth steps in the proof?

Answers

Answer:

Option D.

Step-by-step explanation:

Given: See the diagram.

Prove: DC = DB

Perpendicular bisector theorem : If a point lies on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints.

Proof:

Statement 1:  [tex]\overleftrightarrow{DG}\perp \overline{AC}[/tex]

Reason: Given.

Statement 2: AG=GC

Reason: Given

Statement 3: [tex]\overleftrightarrow{DG}[/tex] is perpendicular bisector of [tex]\overline{AC}[/tex].

Reason: Deduced from steps 1 and 2

Statement 4: DA=DC

Reason: Perpendicular bisector theorem

Statement 5: [tex]\overleftrightarrow{DH}\perp \overline{AB}[/tex]

Reason: Given

Statement 6:AH=HB

Reason:Given

Statement 7: [tex]\overleftrightarrow{DH}[/tex] is perpendicular bisector of [tex]\overline{AB}[/tex].

Reason: By definition of perpendicular bisector.

Statement 8: DA=DB

Reason : Perpendicular bisector theorem

Statement 9: DC=DB

Reason: Transitive property of equality.

Hence proved.

Therefore, the correct option is D.

Find the missing factor.
7s2 + 25s + 12 = (s + 3)(
).

Answers

Answer:

Step-by-step explanation:

First part of the second factor.

Start by noticing that you are not going to get 7s^2 with the factor you have. So the first thing to do is to write the second factor as

(s + 3)  (7s

Sign

The next problem is to figure out what the sign following the 7s is. The 12 holds the answer to that.

12 is positive. So what ever follows must also be positive. Otherwise you will get a negative for the 12.  So now you have

(s + 3)(7s +

What comes after the Plus Sign?

Last step. you need a number that when multiplied by 3 will give you 12. That has to be 4

(s + 3)(7s + 4) This is your answer.

Question 18 (4 points)
Are the triangles similar?
A) Insufficient Information
B) Similar, SAS
C) Similar SSS
D) Similar, AA

Answers

for similar shapes, their corresponding sides will form the same proportion or ratio for any pair of corresponding sides, now, let's check the ratio of each corresponding side on these two.

[tex]\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \qquad \cfrac{12}{45}\implies \cfrac{4}{15}~\hfill \cfrac{25}{75}\implies \cfrac{1}{3}~\hfill \cfrac{15}{36}\implies \cfrac{5}{12} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{the triangles are \underline{not} similar}}{\cfrac{4}{15}\ne \cfrac{1}{3}\ne \cfrac{5}{12}}~\hfill[/tex]

Please help: tangent 48 degrees = 9/x

Answers

Answer:

[tex]x=8.1[/tex]

Step-by-step explanation:

we have that

[tex]tan(48\°)=\frac{9}{x}[/tex]

Solve for x

[tex]x=\frac{9}{tan(48\°)}[/tex]

[tex]x=8.1[/tex]

Subtract.
(3x2 + 2x – 9) - (4x2 - 6x +3)
Enter your answer, in standard form,

Answers

Hello!

Answer:

[tex]\boxed{6x-12}[/tex]

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you remove parenthesis.

3x*2+2x-9-(4x*2-6x+3)

Multiply.

3x*2=6x

-(4x*2-6x+3=(-2x+3)

6x+2x-9-(2x+3)

-(2x+3)=-2x-3

6x+2x-9-2x-3

Then, you simplify and solve.

6x+2x-9-2x-3=6x-12

[tex]\boxed{6x-12}[/tex], which is our final answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

The solution is 6x-12.

What is BODMAS rule?

The Bodmas rule follows the order of the BODMAS acronym ie

B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction.

The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS

By solving in standard form we have to use

BODMAS

First, Brackett open

3x*2+2x-9-(4x*2-6x+3)

now ,Multiply.

3x*2=6x-(4x*2-6x+3=(-2x+3)

So, 6x+2x-9-(2x+3)

or, -(2x+3)=-2x-3

or, 6x+2x-9-2x-3

Now, simplify

or, 6x+2x-9-2x-3=6x-12

Hence, the solution is 6x-12.

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Tracy solved the following problem. Which of the statements is true?

9 ÷ 3 + 6 × 2
3 + 6 × 2
9 × 2
18

Her answer is correct.
Her answer is incorrect. She should have multiplied before dividing.
Her answer is incorrect. She should have multiplied before adding.
Her answer is incorrect. She should have added before dividing.

Answers

Answer:

should have multiplied before dividing the real answer is 15

Answer:

B. Her answer is incorrect. She should have multiplied before dividing.

Step-by-step explanation:

Which of the following rules should be use to find the area of a triangle?

A) Divide area by length

B) Divide the sum of the upper and lower sides by 2

C) Multiply length by width by height

D) Multiply 1/2 base by altitude

E) none of these​

Answers

The area of a triangle is half the product of the base and the height.

Since multiplication is commutative, the following expressions are equivalent:

[tex]A=(bh)\cdot \dfrac{1}{2} = \dfrac{b}{2}\cdot h = \dfrac{h}{2}\cdot b[/tex]

So, option D is correct

Option (D) Multiply 1/2 base by altitude should be used to find the area of a triangle.

Area of the triangle

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively.

Now, let's see how to calculate the area of a triangle using the given formula.

The area of a triangle is half the product of the base and the height. Since multiplication is commutative, the following expressions are equivalent:

[tex]$$A=(b h) \cdot \frac{1}{2}=\frac{b}{2} \cdot h=\frac{h}{2} \cdot b$$[/tex]

So, option D is correct Multiply 1/2 base by altitude.

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If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).​

Answers

[tex]\bf \begin{cases} f(x)=2x+3\\ g(x)=x^2+1 \end{cases}\qquad \qquad g(3)=(3)^2+1\implies g(3)=\boxed{10} \\\\\\ f(~~g(3)~~)\implies f\left( ~~\boxed{10}~~ \right)=2(10)+3\implies \stackrel{f(g(3))}{f(10)}=23[/tex]

1. Evaluate 30 -2k for k= -8.

Answers

Answer:

46

Step-by-step explanation:

Replace k with (-8)

30-2(-8)    Substitution

30-(-16)     Multiplication 2(-8)=-16

30+16        

46              

Answer: The answer is 46

Step-by-step explanation: If you plug in -8 for k in the problem 30-2k then multiply -8 by 2 you get -16. Then you have to do 30 - -16 which results in 46.

Identifying the Danger
Which everyday situations could ultimately be dangerous? Check all that apply.
While crossing the street, Dan checks his cell phone one more time to see if he got a reply about that after-
school job
After having a couple of beers, Enrique gets behind the wheel anyway since he must get home by midnight.
Since the drive is short, Emily decides not to use her seat belt to pick up her brother from soccer practice
All of Anita's friends are busy on Saturday morning, so she decides to go on a five-mile hike in the mountains
alone
Anxious to win the science competition, Lorena forgets to put on her safety goggles before her presentation
Done
) Intro

Answers

Answer:

all five are dangerous

checking his phone while crossing the street

driving impaired

driving unbuckled

hiking alone

not wearing safety goggles

Final answer:

All the situations described - Distracted walking, Drinking and driving, Not wearing a seatbelt, Hiking alone, and Not wearing safety goggles in a possibly hazardous environment - are dangerous.

Explanation:

All of the scenarios given can be considered as dangerous. Distracted walking, as portrayed by Dan who checks his cell phone while crossing the street, risks accidents because the person is not fully aware of his surroundings. Drinking and driving, like Enrique after a couple of beers, is extremely dangerous, often leading to severe accidents. Not wearing a seat belt while driving, regardless of the drive's duration, puts Emily in danger. Anita's situation where she is hiking alone can be dangerous due to the risk of injury, and going without help or immediate assistance. Lastly, Lorena's situation is hazardous because safety goggles are crucial for protecting the eyes during a science presentation, especially if it involves chemicals or physical contraptions.

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4⁄15 of the 315 members of a book club are male. How many female members are there in the club?

A. 131
B. 84
C. 174
D. 231

Answers

Answer:

the answer is B) cos 4/15 as a decimal is 3.75 and 315 divided by 3.75 is 84

D. 231

4/15 of the 315 members are male so 4/15 mutiplied by 315 is 84

There are 84 males

315 members minus 84 male members equals 231 female members

Someone please help out??

Answers

Answer:

3

Step-by-step explanation:

7÷2 hope this is the correct answer enjoy this help.

in the equation y= -2x what are the possible values of y?

Answers

Y depends on x. And x are the real numbers.

Hope this helps!

Tyler has $16 and a coupon for $5 off at the grocery. A bottle of olive oil costs $7. How many bottles can Tyler buy?

Answers

3 bottles. $16 plus a $5 coupon is $21 total Tyler can spend. If each bottle is $7, $21/$7 will give you the number you can buy which is 3

Final answer:

After applying a $5 coupon to his $16, Tyler is left with $11. Given the cost of one bottle of olive oil is $7, Tyler can only purchase 1 bottle because he cannot buy a fraction of a bottle.

Explanation:

The student's question involves basic arithmetic operations and budget management, which falls under the subject of Mathematics. Tyler can use the $5 coupon to reduce the total cost of his purchase. To determine how many bottles of olive oil he can buy, we need to subtract the coupon value from the amount of money he has:

$16 (amount Tyler has) - $5 (coupon value) = $11 (amount left after using the coupon).

Now, we divide the amount left by the cost of a single bottle of olive oil:

$11 ÷ $7 (cost per bottle) = approximately 1.57.

Since Tyler cannot buy a fraction of a bottle, he can buy only 1 bottle of olive oil with the money he has after applying the $5 coupon.

Please someone help me

Answers

Hello There!

Dividing a fraction is the same thing as multiplying by its reciprocal.

This means that [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{5}{12}[/tex] is the same as multiplying [tex]\frac{3}{4}[/tex] by [tex]\frac{12}{5}[/tex].

So basically when you divide you leave the first fraction alone but the second fraction in this case, 5/12 you would flip the number on top and the number on bottom to 12/5.

HAVE A GREAT DAY!

Answer:   [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{5}{12}[/tex] is:

[tex]\frac{12}{5}[/tex]

Therefore:

[tex]\frac{3}{4}[/tex]÷[tex]\frac{5}{12}= \frac{3}{4}* \frac{12}{5}[/tex]

if x^2=4 then x=2 pleas help me ​

Answers

[tex]x^2=4\Longrightarrow x=4^{2^{-1}}=4^{\frac{1}{2}}=\sqrt{4}=\boxed{2}[/tex]

So the first one is correct which implies that the third one is also correct.

But these are not the only ones.

[tex]

2x=2\Longrightarrow x=\dfrac{2}{2}=\boxed{1}

[/tex]

The last one is also correct.

Hope this helps.

r3t40

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