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

HELP WILL GIVE 15 POINTS
what is the range of this function and pls explain​

Answers

Answer:

[tex]f(x)\geq -2[/tex]

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

[tex]f(x)\geq -2\\[/tex]

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?

Answers

Answer:

You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.

HELPPPP i don’t understand this

Answers

Answer:

60 degrees

Step-by-step explanation:

1. Find angle t. A and T are supplementary angles so both added together should equal 180.  180 - 120 = 60. Angle t is 60 degrees

2. All three angles inside the triangle should add up to 180 degrees. 60 +60 = 120 and 180 - 120 = 60. Angle s is also 60 degrees

Hope this helps and pls mark brainliest.

What is the equation of the line in slope-intercept form? ​

Answers

Answer:

y=5/2x+5

Step-by-step explanation:

y=mx+b

m=slope=rise/run=5/2

b=y-intercept=5

Answer:

Step-by-step explanation:

3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it

Answers

Answer:

r = 2

r = -1

Step-by-step explanation:

So first, we need to get this is order of: ax^2 + bx + c

3r^2 - 6 - 3r

3^2 - 3r - 6

the formula is: -b ± √b^2 -4ac/2a

"ax^2 + bx + c" = "3^2 - 3r - 6"

a = 3

b = -3

c = -6

-b ± √b^2 -4ac/2a

-(-3) ± √(-3)^2 -4(3)(-6)/2(3)

3 ± √9 + (-12)(-6)/6

3 ± √9 + (72)/6

3 ± √9 + 72/6

3 ± √81/6

3 ± 9/6

3 - 9/6

-6/6

-1 = r

3 + 9/6

12/6

2 = r

Formula down below --

                                      |

                                     V

Which expression shows how 8⋅54 can be rewritten using the distributive property?




8⋅50+8⋅4

8⋅50+8⋅54

4⋅50+4⋅4

50⋅8+50⋅4

Answers

Answer:8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)

Step-by-step explanation:

The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How many buckets of red paint are in the store?

Answers

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

A dog is riding in the front seat of a car on the freeway and has a mass of 4 kilograms. the car is traveling at 40 meters per second. What is the kinetic energy of the dog?

Answers

Answer: 3200 joules

Step-by-step explanation:

Just took the exam, did the work, double checked

a professional tennis court is a rectangle that is 120 feet long and 60 feet wide. what is the area of the court? what is the perimeter?

Answers

Answer:

The area is 7200 square feet and the perimeter is 360 feet.

Step-by-step explanation:

Formulas (for easier reference):

Area of rectangle: length × width

Perimeter of rectangle: length + width + length + width

We can just apply the formulas.

Area of court = 120 × 60

                      = 7200 square feet

Perimeter of court = 120 + 60 + 120 + 60

                               = 360 feet

What is the solution for the system below?
у
4
-2
0
2
4
4
(2,0)
(0-2)
0 (1-1)

Answers

Answer:

the solution is (1,-1)

Step-by-step explanation:

the lines meet at (1,-1)

1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please

Answers

Answer:

1) x=10   2) x= -7.25

Step-by-step explanation:

Im not sure

12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M

Answers

i think it’s correct already !!

If Z= 2+2i, what is z^4?

Answers

Answer:

D. 64 (cos(pi)+isin(pi))

Step-by-step explanation:

Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:

64 (cos(pi)+isin(pi)). How this helps!

Following are the calculation to the given value:

Given:

[tex]\to Z= 2+2i[/tex]

To find:

[tex]Z^4=?[/tex]

Solution:

[tex]\to Z= 2+2i[/tex]

[tex]\therefore\\\\i^2= -1[/tex]

[tex](a+b)^2= a^2+b^2+2ab[/tex]

Square the given value:

[tex]\to Z^2= (2+2i)^2[/tex]

         [tex]= 2^2+(2i)^2+2 \times 2 \times 2i\\\\= 4+4i^2+8i\\\\= 4-4+8i\\\\=8i[/tex]

When [tex]Z^2= 8i[/tex] then again square the value

[tex]\to ( Z^2)^2= (8i)^2\\\\\to Z^4= 64i^2\\\\\to Z^4= -64\\\\[/tex]

Therefore, the final answer is "-64".

Learn more:

brainly.com/question/25250313

what is y= 1/3 x - 5

Answers

Answer: y= (-5/3)

Hope this help

Evaluate [7 - (2 - 5(4 - 7) + 6)] + 7

30
-20
-42
-9
None of the above

Answers

7−(2−5(4−7)+6)+7

=7−(2−(5)(−3)+6)+7

=7−(2−(−15)+6)+7

=7−(17+6)+7

=7−23+7

=−16+7

=−9

Thus, the answer is -9

Whats the length of the wire

Answers

Answer: 45

Length is how long something is  and the triangle shows 45 as the length

Please answer and telll me why no pog explanation please

Answers

Answer: D

Step-by-step explanation:

how many times does 50 go into 102?​

Answers

2 because 50 x 2 is 102

Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2

Step-by-step explanation: 2 times 50= 100

please help its due in 20 minutes

Answers

Answer: I find the x which is -1/-2  y=1 Hope this help

Step-by-step explanation:

(4,3) (2,2)                     3=(-1/-2)(4)+b

M=y2-y1                      3=2+b

      x2-x2                  -2  =-2

2-3     = -1                  1=b

2-4        =-2

X=-1/-2

 Y=mx+b

lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK

Answers

Answer: 11 3/8

18 - 6 5/8 = 11 3/8

The value of the digit in the hundreds place in the number 587,349 is 1/10 the value of the digit in the thousands place in which number? *

Answers

Answer:

3000 is your answer

Step-by-step explanation:

The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then

[tex]300 = \frac{1}{10} x[/tex]

[tex]300 \times 10 = \frac{1}{10} x \times 10[/tex]

[tex]3000 = x[/tex]

x is your answer.

Write an expression Equivalent to 5X -40

Answers

Answer:

5(x+8)

Hope this helps

:3

At a concert, 20% of the audience were teens. If the number of the teens were 360, What was the total number of people in the audience?

Answers

1800
360/2=180
180x10=1800

Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?

Answers

Answer:

Width = 9

Step-by-step explanation:

(P=2L+2W) = 72

L = 3W<- length is triple the width

(P = 2(3W) + 2W) = 72

P = 8W =72

W = 9

Anna is trying to figure out how much her 10-mile taxi ride is going to cost. It costs $5 to be picked up by the taxi, and each mile costs an extra $2. Which equation should Anna use to calculate her cost?

y= 2x+5
y= 5x+2
y= x^2+5x+10
y=(2)^x

Answers

Answer:

y=2x+5

because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup

What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?

Answers

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.

Answers

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

Hey I could really use some help.

In baseball, it is 90 feet from home to first base. Knowing this, what would the distance from
home plate to third base be? How did you determine your answer?

Answers

Answer:

270 feet.

Step-by-step explanation:

90 multiplied by three is 270. And a baseball field is square (obvi.) which means from one base to the next would still be 90.

Hope this helps!

Answer:

well 270 if you run all around. but 90 if going straight from home to third.

Step-by-step explanation:

the lines all around are congruent determined by the dashes in the middle so each line is 90 feet, so multiplied by three, you get 270 if running all around.

Given that sin(x) find cos (90 - x). A. 4/11 B.7/11 C. 11/7 D. 11/4. Please select the best answer from the choices provided.given that sin with x in (equals 7/11 find COS with 90 - x in) a is 4/11 B is 7/11 C ​

Answers

Answer:

7/11

Step-by-step explanation:

sin(Ф)=cos(90-Ф)

∴cos(90-x) = 7/11

What is the domain of f?
Choose 1 answers
All real values of r such that=0
All real values of such that=0
All real values of such that r < 0
All real values of r such that >0
All real values of

Answers

Answer: C) All real values of x such that [tex]x \le 0[/tex]

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

[tex]-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0[/tex]

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

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