find the length of YZ

Find The Length Of YZ

Answers

Answer 1
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

Good luck to you!

Related Questions

.A radio station sends a signal in a circular
area with an 80-mile radius. Find the
approximate area in square kilometers that
receives the signal. (Hint: 1 square mile z
2.6 square kilometers)

Answers

Answer:

52,249.6

Step-by-step explanation:

Describe the error made when converting the equation to vertex form.

Answers

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

The area of the triangle below is 5/12 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
1/2 ft is the height

Answers

Answer:

5/6

Step-by-step explanation:

just need help with the way. thanks!

Answers

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

----------------------------------------

Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Ann took a taxi home from the airport. The taxi fare was $2.10 point, 10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10,

Answers

Answer: 21 miles

Step-by-step explanation:

Here's the remainder of the question:

Write an equation to determine the distance in miles x between the airport and Ann's home.

We are informed that the taxi fare was $2.10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10, this can be expressed into an equation as:

(2.10 × x) + 5 = 49.10

2.10x + 5 = 49.10

2.10x = 49.10 - 5

2.10x = 44.10

x = 44.10 / 2.10

x = 21

The distance between the airport and Ann's home is 21 miles.

CAN SOMEONE HELP ME Find the area and perimeter (or circumference) of each figure.

Answers

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

What is d = -12t + 96 ?

Answers

Answer:

t = 8 - 1/12d

Step-by-step explanation:

tell me if this is wrong

Which is a solution of the equation?
2x - y = 0
(1,2) (3) (3,-1) (2,-4)

Answers

Answer:

1,2

Step-by-step explanation:

all you have to do is plug in the values for their respective variables and solve accordingly. we have to try all answer choices to make sure we have the right one. we first plug 1,2 into the equation which gives us 2(1)-2=0. then we multiply 2 and 1, which is 2, so now we have 2-2=0. we know that 2-2=0, so we now know that the first answer choice is the correct one.

Answer:1,2

Step-by-step explanation:took thd test and got it right

pleaseeee helppppp pleassee 1 min left

Answers

Answer:

its the 4th answer

Step-by-step explanation:

Use the long division method to find the result when x^3+7x^2+12x+6x 3 +7x 2 +12x+6 is divided by x+1x+1. If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) ​ .

Answers

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

[tex]x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

[tex]\ \ \ \ \ \ \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \ {} \ {} \ \ {} \ {} \ {} \ {} \ {} \ {} \ {} \ \ x^3 + 2 \cdot x^2 \\\ \ \ \ {} \ \ {} \ {} \ {} \ \ {} \ {} \ \ \ {} \ {} \ {} \ \ {} \ {} \ {} \ \ 5 \cdot x^2 + 12\cdot x + 6\\ \ {} \ {} \ {} \ {} \ {} \ {} \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1[/tex]

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form [tex]q(x) + \dfrac{r(x)}{b(x)}[/tex], we have;

[tex](x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) = x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many bags of leaves does Ellie fill this week? Show your work.

Answers

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

10. Find the vertex, domain and range from the function y = = 2|x|
a V(2,0), Domain: x E R, Range: y E (00, 2]
b V(0,2), Domain: x E R, Range: y € [2,00)
C V(0,0), Domain: x E R, Range: y € (0,0]
d V(0,0), Domain: x E R, Range: y € [0, 0)
Check it
skip

Answers

The answer would be a-v(2,0),domain: x E R, Range: y E (00,2]

Factor completely:
x^3 - x^2 - 6x

Answers

Answer:

[tex]x(x-3)(x+2)[/tex]

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=x[/tex]

2. Factor out the GCF and simplify.

[tex]x(x^{2} -x-6)[/tex]

3. Factor [tex]x^{2} -x-6.[/tex]

Which two numbers add up to -1 and multiply to -6?

-3 and 2

Rewrite the expression using the numbers above.

[tex](x-3)(x+2)[/tex]

4. Done!

[tex]x(x-3)(x+2)[/tex]

Write each expression as a single logarithm. log3 9 + log3 24

Answers

Answer: log3 (216)

Step-by-step explanation:

i need help i keel putting in the correct answer and it says it wrong

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

36cm^2

Step-by-step explanation:

12 x 4 = 48

9 * 4 =36

36/3 =12

48 - 12 = 36

WILL MARK BRAINLIEST ON THE FIRST PERSON !! Giving EXTRA POINTS!! Need the answer right now!!


Damian has a rectangular photo frame. The length of the photo frame is 30 inches, and the width of the frame is 16 1/4 inches. What is the length of the diagonal of this frame in inches?

Answers

Answer:

I think it's 34.12 inches

Step-by-step explanation:

Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²

8j + 3-j=17
solve for J

Answers

First you have to combine like terms which you would combine 8j and j which would be 7j+3=17 then subtract 3 from 17 giving you 14. And after that your left with 7j=14 then divide 7 on both sides giving you 2 as your answer.
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii it’s 2

Peny has 81 red balls, which she wants to arrange in rows. If the number of balls in each row must be equal to the number of rows, how many
balls must there be in a row
A 3
B 7
C 9
D 11

Answers

C, 9 would be the correct answer

Complete the square to solve 3x^2+12x=9
A. x=-2±√13
B. x=3±√6
C. x=2±√7
D. x=-2±√7

Answers

The answer should be Maybe D

Answer:

I think its D also

Step-by-step explanation:

Please anything helps

Answers

Answer:

D- Neither graph is a funvtion.

Step-by-step explanation:

A function can only have one input to one output.  These have more than one output for each input.  You can also do the vertical line test, if it touches more than two points at the same time while going horizontally across, it is not a function.

I need to solve this with substitution and have it in an ordered pair... help!

Answers

i believe the correct answer is:

(-88, 3)

tell me if this is wrong

Answer:

(-88,3)

Step-by-step explanation:

Lines m and p are perpendicular. If the slope of line m is -3, what is the slope
of line p?
O A.-3.
O B.
–ჰო
O c. 3
O D. 3
SUBME

Answers

The answer is B because it is 1/3.

Maria boards boards a car at the bottom of a ferris wheel. she rides to the top and then it stops. maria tells her friends they they have completed 1/4 before the car stopped. do you agree with maria? explain.


I need help, i dont understand.

Answers

Maria is wrong because they have completed 1/2.

Step-by-step explanation:

At the top of the Ferris wheel,the ride is 1/2 done. All that is left is to go down,which is the other half. Maria is wrong in saying they are 1/4 done,that is a quarter,not half.

Due in 5 minutes!!!!!!

Answers

It is not clear at all

Answer:

Pls send a more clearer picture

Step-by-step explanation:

A cashier checks the price of a hockey stick that is marked $44, because it usually rings up at $80. What is the discount percentage?

Answers

Answer:

The discount percentage is 45%.

Step-by-step explanation:

To be able to determine the discount percentage, you can use the following formula:

Discount percentage=(final price-original price/original price)*100

Original price=80

Final price=44

Now, you can replace the values in the formula:

Discount percentage=(44-80/80)*100

Discount percentage=-45%

According to this, the answer is that the discount percentage is 45%.

i need help again pls

Mark has a jar of marbles. The jar contains 1 red marble, 2 green marbles, 15 yellow marbles, and 11 blue marbles. Without looking, Mark chooses a marble from the jar.
Which statement is true?
A. The probability that Mark selects a red marble is closer to 1 than it is to 0.
B. The probability that Mark selects a blue marble is closer to 1 than it is to 0.
C. The probability that Mark selects a yellow marble is closer to 1 than it is to 0.
D. The probability that Mark selects a green marble is closer to 1 than it is to 0.

Answers

Answer: c

Step-by-step explanation:

There's more of a chance of selecting a yellow bc there are more yellow than any other color in the jar

In which quadrant does θ lie given that sinθ > 0 and cos θ < 0

Answers

The quadrant in which the angle θ lies when sin θ > 0 and cos θ < 0 will be

in the second quadrant

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the angle be θ

Now , the sin of the angle θ is positive and cos of the angle θ is negative

The equation is given as

sin θ > 0 and cos θ < 0

And , from the trigonometric relations , we know that

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

So , in the second quadrant only sin is positive and all the other trigonometric relations are negative

Therefore , the quadrant where sin θ > 0 and cos θ < 0 will be in the second quadrant

Hence , The quadrant in which the angle θ lies when sin θ > 0 and

cos θ < 0 will be in the second quadrant

To learn more about trigonometric relations click :

https://brainly.com/question/14450671

#SPJ2


Help me please !!!!! It’s urgent

Answers

I did that equation on the side and I got 442, I hope this helps

Tony is going for a run. He runs 19.2 miles in 3 hours. What is his speed

Answers

Answer:

6.4 miles per hour

Step-by-step explanation:

19.2/3

Estimate 72.91 + 67.526 by first rounding each number to the nearest whole number

Answers

Answer:

141

Step-by-step explanation:

First, you would round 72.91 to 73 because the number to the right of 7 is greater than or equal to 5, so you would round up. Same goes for 67.526. round both up to 73 and 68 then add. You would get an answer of 141 :)

Answer: 141

Step-by-step explanation: By rounding up to the nearest whole number, that is taking 72.91 -> 73. The reason it is this way is that when a decimal is past 0.5, you round up. If a decmial is below 0.5, then you round down.

In this specific situation, we get the numbers 72.91 and 67.526.

As I explained, the numbers would round up because both numbers decimal values are above 0.5.

So after 72.91 is 73, and after 67.526 is 68.

68 + 73 =

141

hopefully I helped!

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