Answer:
192.5 ft²
Step-by-step explanation:
Area of the sector
= (360-100)/360 x π(8.35)²
= 158.195 ft²
Area of the triangle
= 1/2 (8.35)(8.35) sin (100)
= 34.3316 ft²
Area of the shaded part
= 158.195 + 34.3316
= 192.5 ft²
Can someone help me with this?
Answer:
Step-by-step explanation:
First triangle is a 45-45-90 triangle. In most basic form, the two equal sides have length 1 and the hypotenuse has length √2. Do not write x√2.
Second triangle: The shortest side is 1, the longer side is √3 and the hypotenuse is 2. You could verify this using the Pythagorean Theorem:
2² = 1² + (√3)² is true.
Please, no more than 2 problems per post. Please re-post the remaining problems and either I or someone else will help you with them.
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
58° to the ground. What is the position of the ball after two seconds?
(Remember: Acceleration due to gravity is 32 ft/s².) Round your answer
to the nearest whole foot. Show all work.
Answer:
The position P is:
[tex]P = 87\^x + 75\^y[/tex] ft Remember that the position is a vector. Observe the attached image
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity [tex]s_0[/tex] is:
[tex]y(t) = y_0 + s_0t -16t ^ 2[/tex]
Where [tex]y_0[/tex] is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
[tex]s_0 = 82sin(58\°)[/tex] ft/sec
[tex]s_0 = 69.54[/tex] ft/sec
Thus
[tex]y(t) = 69.54t -16t ^ 2[/tex]
The height after 2 sec is:
[tex]y(2) = 69.54 (2) -16 (2) ^ 2[/tex]
[tex]y(2) = 75\ ft[/tex]
Then the equation that describes the horizontal position of the ball is
[tex]X(t) = X_0 + s_0t[/tex]
Where
[tex]X_ 0 = 0[/tex] for this case
[tex]s_0 = 82cos(58\°)[/tex] ft / sec
[tex]s_0 = 43.45[/tex] ft/sec
So
[tex]X(t) = 43.45t[/tex]
After 2 seconds the horizontal distance reached by the ball is:
[tex]X (2) = 43.45(2)\\\\X (2) = 87\ ft[/tex]
Finally the vector position P is:
[tex]P = 87\^x + 75\^y[/tex] ft
What value of y makes
the equation below true?
y + 2.9 = 11
A 8.1
B 8.9
C 9.1
D 13.9
Answer is “A”
Because since we know if we need to find the y is so we need to subtract 11-2.9=8.1
which mean y mean 8.1
The answer would be A
That is because you can not add unlike terms, so you would have to subtract 2.9 - 11 to find your answer. Therefore, the answer is 8.1
Hope you found this useful.
Plz help me with this
Answer: False
Step-by-step explanation:
{2, 3, 6, 8, ... } is tending toward infinity, but the terms are increasing - not alternating.
125.663 in terms of pi
Just divide by pi, so it would be about 39.999(Pi)
PLZ HELPP 10 POINTS PLZZZ
Answer:
No,yes,yes,no,yes
Step-by-step explanation:
Emily cycle 22 miles over four days she cycled the same amount each day how many miles per day did she cycle what operation do you use to solve this problem
Answer:
5.5 miles per day
Step-by-step explanation:
To divide an amount equally over 4 days, use the division operation. Divide 22/4 = 5.5.
An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.
Answer:
Absolute error = 39
Percent Error = 6.10%
Step-by-step explanation:
Actual value = 639 pounds
Observed Value = 600 pounds
The formula to find absolute error is:
Absolute Error = Actual value - Observed Value
= 639 - 600
= 39
The formula to find Percent error is:
Percent Error = (Actual value - Observed Value / Actual value)*100
= (639 - 600/639)*100
= 6.10%
Answer:
Absolute error = 39 pounds
Percent error = 6.10%
Step-by-step explanation:
We know that the estimated weight was 600 pounds while the actual weight of the beam was 639 pounds.
So we will find their difference to get the absolute error.
Absolute error = 639 - 600 = 39 pounds
We will use the following formula to find the percent error.
Percent error = (Estimated value - actual value / actual value) * 100
Percent error = 639 - 600 / 600 * 100 = 6.10%
What is the vertex of the parabola
Answer:
(1,-4) the vertex will always be the lowest point
Step-by-step explanation:
lowest point my dude
Answer: (1,-4)
Step-by-step explanation: The vertex is either the highest point or the lowest point on the parabola depending on whether the parabola opens upward or downward.
In this case, since the parabola opens upward, we can see that
the vertex is the lowest point on the parabola which is (1,-4).
a realty company makes a 6% commission on real estate sales. A house is sold fir 258,000. how much commission did the company make?
please help
Answer: I Believe the company made $15,480.00
Step-by-step explanation:
Because .....
6% × 258,000= 15.48
Then, you would add all the zeroes and your answer will be $15,480.00.
* Hopefully this helps:)
~ Mark me the brainliest:)!!
Find the value of y . 13/9 = y/18 y = ___. HELP ME IMMEDIATELYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY PLZ
Answer: 9 :)
Step-by-step explanation:
Answer:
[tex]y=26[/tex]
Step-by-step explanation:
[tex]\frac{13}{9}=\frac{y}{18}[/tex]
Cross multiply, isolate the variable, and divide by the coefficient to solve.
[tex]\frac{13}{9}=\frac{y}{18} \\ \\ 9y=234 \\ \\ y=26[/tex]
Plug back in to check.
[tex]\frac{13}{9}=1.4... \\ \\ \frac{26}{18}=1.4...[/tex]
in the system shown below, what are the coordinates of the solution that lies in quadrant IV? x2+y2=25 x-y2=-5
Answer:
[tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)
Step-by-step explanation:
We have the system of equations
[tex]x^2+y^2=25[/tex] (1)
[tex]x-y^2=-5[/tex] (2)
Let's solve our system step-by-step:
Step 1. Solve for [tex]y^2[/tex] in equation (1)
[tex]x^2+y^2=25[/tex]
[tex]y^2=25-x^2[/tex] (3)
Step 2. Replace equation (3) in equation (2) and solve for [tex]x[/tex]
[tex]x-y^2=-5[/tex]
[tex]x-(25-x^2)=-5[/tex]
[tex]x-25+x^2=-5[/tex]
[tex]x^2+x-20=0[/tex]
[tex](x+5)(x-4)=0[/tex]
[tex]x+5=0,x-4=0[/tex]
[tex]x=-5,x=4[/tex]
Remember that in the fourth quadrant x is positive and y is negative, so we are taking the positive value of x; in other words [tex]x=4[/tex] (4)
Step 3. Replace equation (4) (the positive value of x) in equation (1)
[tex]x^2+y^2=25[/tex]
[tex]4^2+y^2=25[/tex]
[tex]16+y^2=25[/tex]
[tex]y^2=25-16[/tex]
[tex]y^2=9[/tex]
[tex]y=\sqrt{9} ,y=-\sqrt{9}[/tex]
[tex]y=3,y=-3[/tex]
Since y is negative in quadrant IV, we take [tex]y=-3[/tex]
We can conclude that the solution of our system of equations that lies in the quadrant IV is [tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)
Answer:
if you type (4,-3) is wrong
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) 2 3 4 5
Answer:2
Step-by-step explanation:
Answer:
Its 3
Step-by-step explanation:
10- 4 = 6
2 x ? = 6
2 x 3 = 6
The bill for a meal at a restaurant is $105.95.If the customer leaves a 20% tip,what is the total cost of the meal with tip
100% + 20%= 120%
120% of $105.95
=6/5 × $105.95
=6 × $21.19
=$127.14
John has a deck of cards 52 cards of John remove the number to car from the deck what is the probability that he will pick up a number two card at random ?
Answer:
3 out of 51
Step-by-step explanation:
If he removed one number two card from the deck then there should be three left since there are 4 of each number card in a deck so therefore there should be 51 cards in the deck but only three number two cards left in the deck
The probability of drawing a number two card from a 52-card deck after removing all four number two cards is 0, as there are no such cards left to draw.
Calculating the Probability of Drawing a Number Two Card
If John removes the number two card from a standard 52-card deck, the deck then has 48 cards because there are 4 number two cards, one in each suit (clubs, diamonds, hearts, and spades). Since these cards are no longer in the deck, the probability of picking up a number two card at random from the remaining deck is 0, as there are no number two cards left to draw.
Initially, the probability of drawing a two card from a full deck would be 4 out of 52 cards or 1 out of 13, as there are 4 twos in the set of 52 cards. However, with the removal of all four number twos, there are no such cards left, hence the probability of drawing a two is reduced to 0.
Understanding probability in a deck of cards is a fundamental concept in statistics and probability theory, which can be applied to various practical situations including games and predictive models.
In the graph, z is a complex number represented as a vector from the origin. What is the product of z and its conjugate?
Answer:
5
Step-by-step explanation:
Given a complex number x + yi then the conjugate is x - yi
Note the real part remains unchanged while the sign of the imaginary part is negated.
here z = 1 - 2i hence conjugate is 1 + 2i
and the product is
(1 - 2i)(1 + 2i) ← expand factors
= 1 - 4i² [ i² = - 1 ]
= 1 + 4
= 5
The product of z and its conjugate will be 5.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as
⇒ a+bi
In the graph, z is a complex number represented as a vector from the origin.
Then the complex number will be
z = 1 – 2i
Then the conjugate of z will be
⇒ 1 + 2i
Then the product of z and its conjugate will be
⇒ (1 – 2i)(1 + 2i)
⇒ 1² – 2²i²
We know i² = -1
⇒ 1 – 4(-1)
⇒ 1 + 4
⇒ 1² – 2²i²
⇒ 5
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ2
What is the sine cosine and tangent of 120 degrees
The sin of 120 is the square root of 3 over 2.
The cos of 120 is -1/2
The tan of 120 is negative square root of 3
732,178 + 167 - 542,137
Answer:
190,208
Step-by-step explanation:
732,178 + 167 = 732345
732345 - 542,137 = 190,208
190,208
Step by Step
732178+167=732345
732345-542137=190208
What is the total perimeter of this figure? Express your answer in feet.
Answer:
i need to see the figure
Step-by-step explanation:
Answer:
i cant get the figure to go thru
Step-by-step explanation:
Factor the expression 3x-12
Answer:
3(x-4)
Step-by-step explanation:
Answer: 3(x-4)
Step-by-step explanation:
Hii! Do you need to factor the expression 3x-12? No problem! (:
Note that both terms have something in common; it's known as the greatest common factor, or g.c.f.
The g.c.f. of 3x and -12 is 3, so we divide both 3x and -12 by 3.
We obtain
x-4
Now we put parentheses around x-4.
(x-4)
Next, we put 3 (the number we factored out) outside these parentheses.
3(x-4)
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
--
67,124 x = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
Answer:
greater than 67,124
Step-by-step explanation:
since you are multiplying 67,124 with a variable(x) and multiplication only increases the value, the answer is greater than since you are multiplying 67,124 with a variable, which will only increase the product value
a tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank
if we take 64 to be the 100%, how much is 6¼% off of it?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}[/tex]
Answer:
60 gallons of gas remained in the tank.
Step-by-step explanation:
1) 6 1/4 = 6.25
2) 64*6.25% = 4 OR 64*6 1/4 = 4
3) 64 - 4 = 60
a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle
Answer:
20
Step-by-step explanation:
We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.
Since we know the measure of two angles, we just have to do basic math:
180=90+70+x
solve for x (which equals 20) to get the measure of your acute angle
Final answer:
In a right triangle with one acute angle measuring 70 degrees, the measure of the other acute angle is 20 degrees, as the sum of all angles in a triangle is 180 degrees.
Explanation:
The sum of the angles in any triangle is always 180 degrees. In a right triangle, one of the angles is always 90 degrees, which is the angle that makes it "right." If a right triangle has one acute angle that measures 70 degrees, to find the measure of the other acute angle, we subtract the known angles from 180 degrees:
180 degrees (total in a triangle) - 90 degrees (right angle) - 70 degrees (given acute angle) = 20 degrees.
Therefore, the measure of the other acute angle in the triangle is 20 degrees.
There are 25 betta fish at a pet store. The next day 9 betta were token. How many bettas are left?
Answer:
16 beta fish
Step-by-step explanation:
Take the starting number of fish: 25, and subtract it by the number of fish being taken away: 9.
Answer:
16
Step-by-step explanation:
if we have 25 bettas and then 9 were taken that means we should subtract 9 from 25 to get 16 bettas left
If f(x) = |x – 5| + 3, find f(2).
Answer:
f(2)=6
Step-by-step explanation:
f(x) = |x – 5| + 3 and find f(2). We plug in 2 for x
f(2) = |2 – 5| + 3
f(2) = |-3| + 3 absolute value makes the number inside positive
f(2)= 3+3
f(2)= 6
PLEASE SOLVE THIS ASAP
OK..
So first you need to divide it into two shapes, rectangle and square
Then u find the area for rectangle and add it with the area of square..
Answer:
I think the answer is 23. Please tell me if I am wrong.
Step-by-step explanation: 8 + 4 = 12 4 + 5 + 2 = 11 12 + 11 = 23
If the equation y = 1 5 x + 2 is changed to y = 1 5 x - 4, how will the graph of the line change? A) It will shift down 4 units. B) It will shift down 6 units. C) It will shift right 4 units. D) It will shift right 6 units.
Answer:
It will shift down 6 units.
ANSWER
B) It will shift down 6 units.
EXPLANATION
The given function is
y=15x+2
We want to find how the graph of this function will change if the function is transformed to
y=15x-4
We rewrite this function in terms of the first one to get:
y=15x+2+-6
Hence the function with shift down 6 units.
I have 811 handkerchief in all, and need 25 for one quilt. How many quilts can I make and how many handkerchief will be left over?
Answer:
32 with 11 handkerchief left over
Step-by-step explanation:
Handkerchief = 811
Quits for 1 handkerchief = 25
Number of quits
= 811 ÷ 25
= 32 Remainder 11
Answer:
32 reminder of 11
Step-by-step explanation:
Equation of the blue graph? Thank you!
Answer:
B
Step-by-step explanation:
The red graph is the graph of the parent function [tex]F(x)=x^2.[/tex]
The blue graph is the red graph translated 4 units to the right.
Rule of translation a units to the right:
[tex]G(x)=F(x-a).[/tex]
Then the function with blue graph has expression:
[tex]G(x)=(x-4)^2.[/tex]
If 11 bumper stickers cost $10.34 then 30 bumper stickers cost
Answer:
$28.20
Step-by-step explanation:
Let's set up an equation.
Let b be the cost of a bumper sticker.
Since the sum of the prices of 11 bumper stickers total up to $10.34, we can set up an equation!
11b = 10.34
Dividing by 11 on both sides,
b = 0.94
Plugging in b into 30b,
30(0.94)
We get
$28.20
Answer:
$28.20
Step-by-step explanation:
First, find out how much each bumper sticker costs.
Assuming that the cost of each bumper sticker is the same, the following equation represents how much one bumper sticker costs
11x = 10.34
Solve for x [divide both sides by 11]
x = 0.94
So, one bumper sticker costs $0.94
Now, find out how many 30 bumper sticker costs.
The following equation represents how much 30 stickers cost.
30x = y
X represents the cost of one sticker and y represents the cost of 30 stickers.
We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.
30[0.94] = y
28.2 = y
So, 30 bumper stickers cost $28.20.
I hope this helps!