Mathematics College

12. Given a right triangle with the length
of one leg equal to 9 centimeters and
the length of the hypotenuse equal to
15 centimeters, what is the length of
the other leg?
F 6 cm
H square root of 306 cm
G 12 cm
J 144 cm

Answers

Answer 1

Answer:

G. 12 cm

Step-by-step explanation:

Length of one leg of right triangle = a = 9 cm

Length of hypotenuse = c = 15 cm

Length of the other leg = b = ?

Applying pythagorean theorem, c² = a² + b², we have:

15² = 9² + b²

15² - 9² = b²

144 = b²

b = √144

b = 12

Related Questions

Write an equation of the line that passes through the points (−6,20) and (0, 8).

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

(−6, 20) and (0, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - 20) / (0 - (-6))

Simplify the parentheses.

= (-12) / (6)

Simplify the fraction.

-12/6

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -2(0) + b

To find b, multiply the slope and the input of x(0)

8 = 0 + b

b = 8

Plug this into your standard equation.

y = -2x + 8

This is your equation.

Check this by plugging in the other point you have not checked yet (-6, 20).

y = -2x + 8

20 = -2(-6) + 8

20 = 12 + 8

20 = 20

Your equation is correct.

Hope this helps!

The points with coordinates (0,0)
and (2,1) are connected by a line
segment. If this line segment is
extended into a line, which point
will also be on the line?

Answers

Do you have a picture?

Slope of line passing through (0, 0) and (2, 1) = (1-0)/(2-0) = ½

Equation of line: y = ½x

Find the difference
(4y+3)-(y-2)
need it quick

Answers

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

Whats a real life situation that can be described by the linear function y = 20x + 150.

Answers

Answer:

Step-by-step explanation:

When working you earn a wage of $150 and then an additional 20 for each item you sell

I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution

Answers

Answer:

See explanation

Step-by-step explanation:

8x = 3y + 38

24= 6y + 9x

Rearrange;

3y - 8x = -38 * 2 -------(1)

6y + 9x = 24 * 1 -------(2)

6y - 16x = -76 -------(3)

6y + 9y = 24 -------(4)

Subtract (4) from (3)

-25y = -100

y= 100/25

y = 4

Substitute y =4 into(1)

3y - 8x = -38

3(4) - 8x = -38

12 -8x = -38

-8x = -38 - 12

x = 50/8 = 6 2/8

2) 6 = 2x + y

7x = 3 - 3y

Rearrange;

2x + y = 6 * 3 --------(1)

7x + 3y = -3 * 1 --------(2)

6x + 3y = 18 ---------(3)

7x + 3y = -3 ---------(4)

Subtract (4) from (3)

-x = 21

x = -21

Substitute x = -21 into (1)

2x + y = 6

2(-21) + y = 6

-42 + y = 6

y = 6 + 42

y = 48

11x = 5 + 10y

7y = -2x +45

Rearrange

11x - 10y = 5 * 2 ---------(1)

2x + 7y = 45 * 11 ---------(2)

22x - 20y = 10 --------(3)

22x + 77y = 495 --------(4)

Subtract (4) from (3)

-97y = -485

y = 5

Substitute y =5 into (1)

11x - 10y = 5

11x - 10(5) = 5

11x - 50 = 5

11x = 5 + 50

11x = 55

x = 55/11

x = 5

Please help!!!! I don’t understand how to figure it out

Answers

Answer:

(sin x)^2*(sec x) is positive in QII

Step-by-step explanation:

(sin x)^2 is always 0 or positive. Here x lies in QII.

sec x is positive when the adjacent side is positive and negative when the adjacent side is negative. In QII the adjacent side is positive.

In summary, (sin x)^2*(sec x) is positive in QII

find the slope of the line passing through the points (1, -4) and (3, -1)
A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2

Answers

E 3/2. I graphed it:).

Help me with my math**50 pts** i mark brainliest**

Answers

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

ST ≅ TS

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

Example: a = a In this case, it could be seen as ST ≅ ST because they have/are the same side(s).RST ≅ UTS

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

Example: RST ≅ UTS (both have S and T) Can be seen as RST ≅ UST as well to make their similarity more evident.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

Find the missing length.
C =
✓ [?]
C
1
8
Pythagorean Theorem: a? + b2 = c2
Enter

Answers

Answer: [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\1^2+8^2=c^2\\65=c^2\\c=\sqrt{65}[/tex]

Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?

Answers

Answer:

25.95 quarters which is about 6.5 years

Step-by-step explanation:

Hlw to find ghe area of a parallelogram

Answers

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

True or false. If 1/4 kg of beef costs $6, then 2/3 kg of the beef costs $16

Answers

that is true. first, find what 1kg of beef would cost. in order to do that, multiply 6 by 4 because 1/4*4=1. 6*4=24. then multiply 24 by 2/3. that will equal $16, so it is true.

WHAT IS THE AREA OF THE FIRE PIT? USE 3.14 FOR PI.

Answers

Answer:

Step-by-step explanation:

if the question mean the white circle the ans is 3.14

if the question mean the shaded circle the ans is 129.9

if the question mean both shaded and white circle the ans is 133.04

the worst carrier of contamination of food service is

Answers

Answer:

Dirty unwashed hands

Step-by-step explanation:

Answer:

Clean hands and clean food

Step-by-step explanation:

Factorise completely
X^2+7x-18

Answers

Look at the screenshot below

why every comment but don't

Answers

Answer:

thanks

Step-by-step explanation:

PLEASE ANSWER ASAP

Maryam writes down the following 6 numbers
11, 11, 12, 18, 19, A

Maryam works out the mean of the 6 numbers, she then increases the value of a by 60
What will this do to the mean of the 6 numbers?

Answers

It will make it increase by a lot

Can you guys help me on the question 4?! :)

Answers

Answer:

Volcanic gray

Step-by-step explanation:

I think because Volcanic Gray and Gray Fox look pretty close to the same color. Sorry if it is wrong.

D. Volcanic gray I’m pretty sure

what is the area of a circular swimming pool with the radius of 3 feet

Answers

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

Can anyone help complete this table?

Answers

(-5, 2) (0,1) (3,2/5) (5,0)

Determine the ratio of shaded sections to striped sections. Then explain its meaning.

Answers

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

Answer:

3/8

Step-by-step explanation:

Total no. of sections= 8

No. of shaded sections= 3

Therefore, the ratio = 3/8

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

if 1 inch equals 50 miles
what does 70 inches equal into miles?

Answers

Answer:3500 miles

Step-by-step explanation:

1=50

meaning that we can do 70x50

which equals 3500

Answer:

3,500

Step-by-step explanation:

1in = 50 miles

70 in x 50 miles - 3,500, so therefore

70 in = 3,500 miles

hoped i helped you!

simplify 12:24 completely.

Answers

Answer:

1:2

Step-by-step explanation:

12:24=1/2

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

Would y^10/y^10 become 1?

Answers

Answer:

yes

Step-by-step explanation:

If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y

If you are multipling the answer will be y^10 because 10 plus 10 is 20 and you keep the base which is y

Chloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $197 for parts. The total was $389.50. What was the cost of labor, per hour?
This is due today pls help now

Answers

389.50 minus 197 for parts will give you your answer

Answer: the answer is 55

25, 27, 24, 26, 40
A. What is the mean of the data?
B. What is the median of the data?

Answers

mean is 28.4 (all numbers added together then divided by the amount of numbers)
median is 24 (the middle number)

THE ANSWERS R a. IS 28.4 b. IS 26

How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?

more than one

none

one

Answers

Answer:

More than one

Step-by-step explanation:

Trust me, I know.

Answer:

none

Step-by-step explanation:

i have proof i just took the test

Other Questions

JOSE ANDRES- COCINERO Y HUMANITARIO EXTRAORDINARIOHow many cities has the non-profit World Central Kitchen organization traveled to since 2010 to feed people in disaster relief andimpoverished areas around the world? Explain why there would be the chances of increase in carbon dioxide with the decrease in number of forests? Solve the following equation for x. Express your answer in the simplest form. Ill give brainliest to the best answer! What will make 3/10 n= 4/5? A substance that slows down the normal function of the centralnervous system is called a _____a. amphetamine.b. depressant.c. stimulant.d. hallucinogen. This is a political cartoon depicting a funeral for the Stamp Act. What happened that inspired this illustration? 1. How do we tell how much energy a ray of light has?By it's temperatureBy it's colorBy it's brightness2. Which of the following are common forms of energy released by electrons dropping from heightened energy levels?Light, HeatMotion, SoundLight, KineticHeat, Potential4. Describe the shape of a field created by a bar magnet.5. On a microscopic scale, the energy change in a system is described by aA change in color or textureMeasuring the temperatureA chemical equationAn odor6. The aurora borealis lights that appear in the northern hemisphere are caused by the interaction between what?Ultraviolet radiation from the Sun and the pollution in the Earth's airThe reflected light off the moon and the scattering particles in the atmosphereThe charged particles from the Sun and natural magnetic field of the Earth7. What happens to the atoms of a material when you run electricity through that material?The bonds that hold the atoms together begin to stretch due to the electric currentThe neutrons, having no charge, resist the flow the electric energy through the atomThe electricity only goes into atoms that have an overall electric charge of the same orientation of the electric flow8. The amount of potential energy stored in a magnetic field depends on what?The size of one magnetic poleHow close two magnet poles are to each otherThe number of molecules magnetically aligned in a poleWhether the pole is a North or South pole magnet9. Compare and contrast microscopic and macroscopic energy transfer. Give at least three comparisons for each.10. A plane is landing at an airport. The plane has a massive amount of kinetic energy due to it's motion. When the plane lands, it activates its brakes, causing it to slow down and eventually stop. The kinetic energy that the plane had is now gone. In keeping with the Law of Conservation of Energy, which of the following is the most likely explaination of what happened to that energy?The brakes used a coil system to convert the kinetic energy into potential energy stored in the brakesThe kinetic energy of the plane gets pushed into the air in front of it due to drag forces, causing the air to move, thus transferring the kinetic energy from the plane to the airThe brakes create friction, which transformed the kinetic energy to heat energy that was dissipated to the surroundingsThe kinetic energy is being converted into sound energy by the loud engines of the plane high "fake" voice, most notably in men Need help will give brainliest do question 26,27,25 Please help it's due today. Also please don't help if you don't know. 25) Characteristic of a good school essayis to have 'clarity' and 'brevity'. 'Brevitymeans:13raveryb) Concisenessc)Elongationd) Extension Speaker use -------to draw attention to particular words This system has ______ solutions Based on the chart, whats the class iv cavity classification How did John Browns execution affect Louisiana and the whole United States? A) It caused many abolitionists to reach out to slave owners in Louisiana and the South to seek compromise. B) It convinced Louisiana slave owners that federal troops and the court system would protect them. C) It caused many abolitionists to go into hiding, giving slave owners in Louisiana and the rest of the South a renewed strength to protect their way of life. D) It made slave owners in Louisiana and the rest of the South even more fearful of slave revolts, increasing the divide between North and South. PLS HELP I WILL GIVE BRAINLIEST How does the rhythm of "The New Colossus" contribute to the poem's meaning?It creates a steady pace that reinforces the strength of the statue.It creates a choppy pace that reflects the uncertainty of life.It creates a quick pace that emphasizes the celebratory tone of the poem.It creates a slow pace that emphasizes the mournful tone of the poem. i need to find the 9th term of this sequence please add these to numbers together 474.766 + 100.725= Please heeeeelp Answer and I will give you brainiliest

12. Given a right triangle with the length of one leg equal to 9 centimeters and the length of the hypotenuse equal to 15 centimeters, what is the length of the other leg? F 6 cm H square root of 306 cm G 12 cm J 144 cm

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

12. Given a right triangle with the length
of one leg equal to 9 centimeters and
the length of the hypotenuse equal to
15 centimeters, what is the length of
the other leg?
F 6 cm
H square root of 306 cm
G 12 cm
J 144 cm