The hypotenuse of a right triangle measures 18 cm and one of its legs measures 9 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

about 15.6cm.

Step-by-step explanation:

I got my answer of 15.6cm because I did the Pythagorean theorem.

a^2+b^2=c^2

The values of "a" and "b" are the legs of the triangle, and the value of "c" is the hypotenuse. So, the equation with the values given is 9^2+b^2=18^2.

Simplified is 81+b^2=324. Next, you have to subtracted 81 on each side, so you have "b" by itself. b^2=243. Now, I know that b^2= 243. Next, find the square root of 243. The square root of 243 is 15.58845727. This value rounded to the nearest tenth is about 15.6.

In conclusion, the measure of the other leg is about 15.6cm.


Related Questions

PLS HELP ME I WILL GIVE YOU 35 points !!!!

Answers

Answer:

x = 42

y = 38.

I'm pretty sure this is the answer

Answer: x=42 y=48

Step-by-step explanation:

The angle with 42° and the blank space should add up to 90° so you would have to do 90-42=48° to find the blank space. As opposite angles are equal that means y=48° too.

Then to find out what x is you have to do 90-48=42° as the part with x and y in it has to add up to 90°.

You can check this by checking the two quarters. They should both add up to 90°.

42+48=90°

48+42=90°

So we know its correct.

Hope this helps :)

3 1/5 divided by 1 1/2

Answers

Answer:

2.13333333333

Step-by-step explanation:

First you do 5x3+1 = 16/5

Second, you do 2x1+1 = 3/2

Third, you divided 16/5 by 3/2.

Hey! I appreciate any help on this question!

Answers

3 ...................


ABCD is a parallelogram. If a CDA - 57 then BCD-_?
The diagram is not to scale.
133
57
114
123

Answers

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

PLS PLS PLS HELP QUICKLY PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS

Answers

Um there is no question.

Answer:

purple

Step-by-step explanation:

cus it looks like it ong

For his long distance phone service, Jose pays a $2 monthly fee plus 12 cents per minute. Last month, Jose's long distance bill was $22.04. For how many minutes was Jose billed?​

Answers

Make an equation
Y = 2 + 0.12x
22.04 = 2 + 0.12x
0.12x = 20.04, x = 167
He was billed for 167 minutes

Calculate the number of degrees in one interior angle of a regular 44-gon.

Answers

Answer:

7560

Step-by-step explanation:

 

 

PLEASE HELP ILL GIVE BRAINLIEST\
SHOW YOUR WORK PLEASE SO I CAN UNDERSTAND

Answers

Answer:

The answer is $3!

Step-by-step explanation:

First, the question asks for the SALES TAX so that means that the equation[tex]37.5*0.08=x[/tex]. (Why 0.08? Because 8%=8/100=0.08.) 37.5*0.08=3. I hope this helps! Have a great rest of your day!

Mrs. Tolin's bedroom is 35.8 square
feet. Her daughter Barb's room is
0.7 times this size. What is the area of
Barb's room?

Answers

Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

NOT 270 HELPPP PLSSSS HURRY

Answers

it should be 270 since 6 x 9 x 10 x 1/2= 270

an a 120 question test a student got 96 correct answer what percent
of the problem did student work correctly ​

Answers

Answer:

80%.

Step-by-step explanation:

percentage = number of answered questions ÷ total number of questions × 100%.

= 96 ÷ 120 × 100%.

= 80%.

hope it helps. :)

Laura wants to cover a box with fabric.
• The box is in the shape of a rectangular prism.
• It measures 15 in. long, 11 in. wide, and 24 in. tall.

Answers

Answer:

Area of rectangular prism = 1,578 inch²

Step-by-step explanation:

Given:

Length of rectangular prism = 15 in

Width of rectangular prism = 11 in

Height of rectangular prism = 24 in

Find:

Total fabric need

Computation:

Total fabric need  = Area of rectangular prism

Area of rectangular prism = 2[lb + bh + hl]

Area of rectangular prism = 2[(15)(11) + (11)(24) + (24)(15)]

Area of rectangular prism = 2[165 +264 + 360]

Area of rectangular prism = 2[789]

Area of rectangular prism = 1,578 inch²

Solve for T


Help please,will give points

Answers

the answer would be t=11.6

The horizontal lines are parallel. Find the measure of ∠G.

Answers

Answer:

36

Step-by-step explanation:

36 is the corresponding angle to the angle which is vertically opposite to g.

Corresponding angles are equal.

Vertically opposite angles are equal.


can anyone do this please

Answers

Answer:

I know for the fact that it's the first one but I don't know the other answer

Step-by-step explanation:

An equation of a graph is y=mx+b and the B is the y-intercept which is -2 since the line is on top of -2. mx is the rise/run of -2 which is -3/2

Hope this helps, but I don't which other equation represents the graph.

What is the solution to the system of equations shown in the graph?

Answers

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

Find the surface area of the pyramid, round to the nearest tenth:

Answers

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

what is the value of x

Answers

Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

Help me with this question please.

Answers

Answer:

I'm pretty sure its C or D I could be wrong still but.

The answer is C!! The equation has a positive increase and negative y-intercept.

please help with math!!

Answers

Answer:

1375

Step-by-step explanation:

10*25+15*75 = 1375

Helps me with this please

Answers

The distance between A and B and the distance between C and D are the same ( the 2 little lines indicate that).

This means the two arc lengths would also be the same.

Set the equations equal to each other,, solve for x then solve for the arc length.

AB = 3x +9  

CD = 11x-71

3x+9 = 11x-71

Subtract 3x from both sides:

9 = 8x-71

Add 71 to both sides:

80 = 8x

Divide both sides by 8:

x = 10

Now solve for AB:

3x +9 = 3(10) +9 = 30+9 = 39

The answer is AB = 39

Answer:

AB = 39

Step-by-step explanation:

Hope this helps

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​

Answers

Answer and Step-by-step explanation:

These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.

[tex]A^2 + B^2 = C^2[/tex] is Pythagorean theorem.

[tex]3^2 + y^2 = 7^2\\\\\\9 + y^2 = 49\\\\\\y^2 = 40\\\\\\y = 2\sqrt{10}[/tex]

Now, we want to find x.

We know the triangles are similar.

4.5 divided by 3 is 1.5. This is the scale factor for the triangle.

If we multiply y by 1.5, we will get 5x.

[tex]5x = 1.5(2\sqrt{10} )\\\\\\5x = 3\sqrt{10} \\\\\\Divide.5.on.both.sides.to.get.x.\\x = \frac{3\sqrt{10} }{5}[/tex]

Those are the answers and how to get them.

#teamtrees #PAW (Plant And Water)

2 Jalina left her home at 1000 to cycle to a park
On her way to the park, she stopped at a fhend's house and then continued her journey to
Here is the distance-time graph for her journey to the park
the park
25
20
15
Distance from
home (km)
10
1000
1100
1200
1300
1400
1500
Time
(a) On her journey to the park, did Jalina cycle fister

Answers

Answer:

Time

Step-by-step explanation:

A jar contains 4 green marbles and 6 yellow marbles. Two marbles are drawn, with replacement, from the jar. What is the probability that both marbles are green?

Answers

Answer:

If there are a total of 10 marbles in jar, then It´s a 4/10 chance you get two marbles that are green

Step-by-step explanation:

in a choir the ratio of men to woman is 4:7. 25% of the men prefer classical songs, and 80% of the women prefer classical songs. What percentage of the choir prefer classical songs?

Answers

Answer:

60%

Step-by-step explanation:

percentage of men in the choir = (4/11) x 100 = 36.4%

percentage of women in the choir = (7/11) x 100 = 63.6%

Percentage of men in the choir that prefer classical songs =  36.4 x0.25 = 9.1%

Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%

percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%

Please need answers ASAP

Answers

Answer:

!!!

Step-by-step explanation:

Write an inequality that represents `t`, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning

Answers

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Answer:

[tex]t > 4.5[/tex]

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

[tex](t_1,T_1) = (0,5)[/tex] --- at midnight

[tex]m = -2[/tex] --- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

[tex](t_2,T_2) = (t,-4)[/tex]

[tex](t_1,x_1) = (0,5)[/tex]

Using the slope formula, we have:

[tex]m = \frac{T_2 -T_1}{t_2 - t_1}[/tex]

[tex]-2 = \frac{-4-5}{t -0}[/tex]

[tex]-2 = \frac{-9}{t}[/tex]

Solve for t

[tex]t = \frac{-9}{-2}[/tex]

[tex]t = 4.5[/tex]

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

[tex]t > 4.5[/tex]

Solve for x.........

Answers

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

[tex]30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12[/tex]

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Guided Practice
The answer is NOT letter A

Find the range of the function rule y=5x−2 for the domain.{−1/2, 1/4, 2/5}Find the range function rule


A.
{−1/2, 3 1/4, 4}


B.
{− 4 1/2, −3/4, 0}


C.
{3/10, 9/20, 12/25}

Answers

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

A triangle has an area of 117.9 square millimeters and a base of 18 millimeters. What is the height?

Answers

Answer:

13.1

Step-by-step explanation:

The correct answer is 13.1
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