Look at triangle STU:

A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)

Question 9 options:

1) 20

2) 22

3) 24
Help

4) 28

Answers

Answer 1

Answer:

1) 20

Step-by-step explanation:

I drew a diagram of the triangle described below.

Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.

We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:

SU = square root (12^2 + 16^2) = square root (400) = 20

I hope this helps! :)


Related Questions

Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?

Answers

Answer:

c+35/100c

Step-by-step explanation:

I have no idea how to find the values of x and y in that diagram. Can someone help?

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Answer:

Multiple choice?

Step-by-step explanation:

a fraction is shown 5/9 which number equivalent to the fraction

Answers

Answer:

10/18 or 25/45

Step-by-step explanation

If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?

Answers

Answer:

Total item = 364

Step-by-step explanation:

1 partridge for 12 days = 12 x 1 = 12

2 turtle doves for 11 days = 11 x 2 = 22

3 french hens for 10 days 10 x 3 = 30

4 calling birds for 9 days = 9 x 4 = 36

5 gold rings for 8 days = 8 x 5 = 40

6 geese a-laying for 7 days = 7 x 6 = 42

7 swans a-swimming for 6 days = 6 x 7 = 42

8 maids a-milking for 5 days = 5 x 8 = 40

9 ladies dancing for 4 days = 4 x 9 = 36

10 lords a-leaping for 3 days = 3 x 10 = 30

11 pipers piping for 2 days = 2 x 11 = 22

12 drummers drumming for 1 day = 1 x 12 = 12

Total item = 364

Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?

Answers

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

Find that x and y intercept 4x-5y=40

Answers

Answer:

x intercept: 10, y intercept: -8

Step-by-step explanation:

make into y = mx + b

4x = 5y + 40

4x - 40 = 5y

y = 4/5x - 8

plug in 0 for x, to find y intercept

y = -8

plug in 0 for y, to find x intercept

0 = 4/5x - 8, x = 10

The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 + 4.7

Average maximum daily temperature = 21.85°C

Average minimum temperature = - 4.7°C

The average daily maximum temperature is x°C higher than the average daily minimum temperature ;

x = (maximum temperature - minimum temperature)

x = (21.85 - (-4.7))°C

x = (21.85 + 4.7)°C

x = 26.55°C

Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature

SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT

Answers

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths

please help meeeeeeeeeee

Answers

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

helppp will give brainliest

Answers

Answer:

1/3 is the slope of the line

the yellow one is correct

Consider the enlarged triangle.

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

Which steps should be used to find the perimeter? Check all that apply.

Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.

Answers

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

Learn  more about Scale Factor here :

https://brainly.com/question/29929067

#SPJ3

Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?

Answers

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition

Answers

Answer:

b

Step-by-step explanation:

Answer:

Henry's cousin went to an audition.

Step-by-step explanation:

What does the word Expressions mean in mathematics in your own words?

Answers

Answer:

Expression in mathematics means word problem.

Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72

Answers

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

Will give crown! Help

Answers

Answer: The slope is -5/7

Step-by-step explanation:

Slope is rise/run

The rise is -5, and the run is 7

This is why the slope is -5/7

Answer:

The rise is 6 and the run is 7 6/7

x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination

Answers

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

help anyone?! please​

Answers

Answer:

Step-by-step explanation:

-3,5

,5,0

click on the volume of this rectangular prism.

Answers

Answer: 192 cubic inches

Step-by-step explanation:

Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12

Answers

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

Michael returned a bag of cans and received $4.65 back. If the deposit for each can was $0.05, how many cans did he return?

Answers

Answer:

I'm not sure

Step-by-step explanation:

At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden. * At 4:00 pm, the temperature is 5 degrees Celsius * The temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. #4 Part A: Does Omar need to cover the garden

Answers

Answer:

Non il n'a pas besoin de couvrir le jardin

Step-by-step explanation:

Comme à 16h il fait 5°C, on enlève 0.5°C toutes les deux heures donc à 18h il fera 4.5°C, à 20h il fera 4°C, à 22h il fera 3.5°C, à 0h il fera 3°C, à 2h il fera 2.5°C et à 4h la dernière heure où la température baisse il fera 2°C

(X+5)/2 = (2x-1)/3 what’s x?

Answers

Answer:

x=  3x=17/4

Step-by-step explanation:

A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?

Answers

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

Could you guys help me solve 9 I would appreciate it :)

Answers

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4 ​

Answers

(2x^5+2x^3+3x^2+3x+1)/x

Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1

Answers

Answer:

+1

Step-by-step explanation:

the last number is the y intercept

Answer:

The y-intercept is (0,1).

Step-by-step explanation:

y=mx+b

b is the y-intercept

please help!!! if anyone knows

Answers

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

Help will give crown

Answers

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

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