In the figure, AA′ = 33 m and BC = 7.5 m. The span is divided into six equal parts at E, G, C, I, and K. Find the length of A′B.

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "18.12."
The image of this triangle is an isosceles triangle with the base being 33 m (from angle A to angle A') and the right leg is 7.5 m long (BC) the span or width of the triangle is divided by 6 vertical lines with equal distances from each other. so we need to find the length of the left leg AB.

Related Questions

#16. Do the ordered pairs (-5,19), (-1,7),(3,-5),(6,-14), and (9,-23) represent a linear function? How do you know?
On a number line there are six spaces. On the first is the number 2, on the last space is the number 42, on the third space is x, solve for x.Thanks!
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are____ cards yet to be signed.
Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following function.N(P) = 80 - 4p^2 ; 1 <= p <= 4. Find the average rate of change in the number of boxes of nails that customers are willing to buy (demand) for a change in price from $2 to $3.The average rate of change of demand for a change in price from $2 to $3 is ___ boxes per dollar.(Type an integer or a decimal.)I know the answer (-20) but I am not sure how to get it. Can you help?
What is the period of a cosine and sine function

Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kathy's home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.a. How far is the library from the park?
b. How far is the park from the football field?

Answers

see the attached figure to better understand the problem

Let

z---------> distance from the library to the park in miles

x-------> distance from the park to the to the football field in miles

y-------> distance from the park to Kathy's home in miles

we know that

In the right triangle ABC

Applying the Pythagorean Theorem

$x^(2) +y^(2) =(12+9)^(2) \n x^(2) +y^(2)=441$ -----> equation $1$

In the right triangle ABD

Applying the Pythagorean Theorem

$12^(2) +z^(2) =x^(2) \n 144 +z^(2)=x^(2)$ -----> equation $2$

In the right triangle BCD

Applying the Pythagorean Theorem

$9^(2) +z^(2) =y^(2) \n 81 +z^(2)=y^(2)$ -----> equation $3$

Add equation $2$ and equation $3$

$144 +z^(2)=x^(2)$

$81 +z^(2)=y^(2)\n ------$

$144+81+2z^(2) =x^(2) +y^(2)$ -----> equation $4$

Substitute equation $1$ in equation $4$

$144+81+2z^(2)=441\n 2z^(2) =441-225\n 2z^(2)=216\n z^(2)=108\n z=√(108) miles\n z=10.39 miles$

Find the value of x

$144 +z^(2)=x^(2)\n 144 +√(108)^(2)=x^(2) \n x^(2) =144+108\n x^(2) =252\n x=√(252) miles\n x=15.87 miles$

therefore

the answer is

Part a) The distance from the library to the park is equal to $10.39 miles$

Part b) The distance from the park to the to the football field is equal to $15.87 miles$

Look at the picture in the attachment.

Using the Pythagorean theorem, set up a system of three equations:
$x^2+y^2=(12+9)^2 \n12^2+z^2=x^2 \n9^2+z^2=y^2 \n \nx^2+y^2=441 \n144+z^2=x^2 \n81+z^2=y^2$

$\hbox{substitute } 144+z^2 \hbox{ for } x^2 \hbox{ and } 81+z^2 \hbox{ for } y^2 \hbox{ in the first equation:} \n144+z^2+81+z^2=441 \n225+2z^2=441 \n2z^2=441-225 \n2z^2=216 \nz^2=(216)/(2) \nz^2=108 \nz=√(108) \nz=√(36 * 3) \nz=6√(3) \n z \approx 10.39$

$81+z^2=y^2 \n81+108=y^2 \n189=y^2 \n√(189)=y \n√(9 * 21)=y \ny=3√(21) \n y \approx 13.75$

a. The library is approximately 10.39 miles (exactly: 6√3 miles) from the park.
b. The park is approximately 13.75 miles (exactly: 3√21 miles) from the football field.

(1, 8, What is the mean of the data set 3, 2, 6)?

Answers

Answer:

3.6666666666667

Step-by-step explanation:

The mean is the sum of all the values divided by count of values

11 / 3 = 3.6666666666667 (mean)

What inequality is equivalent to -3x+2y>5y+9

Answers

-3x + 2y > 5y + 9
- 5y - 5y
-3x - 3y > 9
-3x + 3x - 3y > 3x + 9
-3y > 3x + 9
-3 -3
y < -x + 3

-3x+ 2y > 5y+ 9
⇒ -3x > 5y -2y+ 9
⇒ -3x > 3y+ 9
⇒ x < (3y+ 9)/(-3)
⇒ x < -y -3

The inequality equivalent to -3x+ 2y > 5y+ 9 is x < -y -3~

THE GREATEST DRAWBACK OF SENSITIVITY GRAPHS IS A. They are valid only over the range of parameter values in the graph B. They show changes in key parameter values in monetary terms C. They do not consider the possible interaction between two or more parameters D. They are based on subjective probabilities only E. They are based on objective probabilities only

Answers

Answer:

C. They do not consider the possible interaction between two or more parameters.

Step-by-step explanation:

Sensitivity graphs, often used in sensitivity analysis, typically focus on showing how changes in one parameter affect a particular outcome while keeping other parameters constant. They don't account for potential interactions or dependencies between multiple parameters, which can be a significant limitation when dealing with complex systems or models.

ALGEBRA HELP, please help with problem, and show work

Answers

First of all, your second term is already wrong. When you divided 8x² by 4 ,
you should have written 2x² , not 4x² .

Make that correction, and then divide the whole thing by 'x'.

Then you'll have x² - 2x + 1 = 0 .

You should have no trouble solving that one,
(especially since it's a perfect square)

That gives you two (equal) solutions. But you should also ask yourself:
"Self ! Where is the third solution ? A cubic equation like the original
one needs three solutions."

I'll give you that one:
Look over the original equation, and look at what happens to it when x = 0 .
Then the left side becomes zero, and the equation is 0 = 0 . Since that's a
true statement, " x = 0 " is another solution of the cubic equation, and now
you have all three of them.

divide both sides by 4x:
x^2-2x+1=0
You can either factor, complete the square, or use the quadratic formula.
I'll factor this into (x-1)(x-1)=0
x-1=0, so x=1

Which choice represents the number of cookies Rhianna must sell for 35 cents each to make more than $15. A) 0.035x > 15 B) 0.35x > 15 C) 0.35x < 15 D) 35x > 15

Answers

0.35x > 15 <=== ur inequality

the answer for your question is c.) 0.35x < 15

Other Questions

Clara played a video game with three levels. It took her 2 hours and 25 minutes to beat the first level and 2 hours and 25 minutes to beat the second level. Clara played the final level for 1 hour and 50 minutes to finish the game. She beat the final level and stopped playing at 5:20 pm . What time did Clara start playing the game

Can 80°, 75 and 20° form a triangle JustifySelect one:0a. Nob. Yesc. None

If n is odd, which represents the first consecutive even integer after n? a) n+1 b) n+2 c) 2n d) 4n

What is he reciprocal of 3