A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.

Answers

Answer 1

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer 2

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)


Related Questions

help help meeeeeee dont understAND

Answers

Answer:

2776 is the surface area.

Step-by-step explanation:

19 x 48 = 912 x 2 = 1824. 7 x 19 = 133 x 2 = 266. 49 x 7 = 343 x 2 = 686.

Answer:

2762

Step-by-step explanation:

The formula is:
2*(width*length+height*lenght+height*width)
2*(19*48+7*48+7*19)

this equals 2762

a student is running a 3k race he runs 1 km race every 2 minutes select the function that describes his distance from the finish line

Answers

Answer:

-1/2 x + 3

Step-by-step explanation:

What is the value of 4(x−2)(x−3)+7(x−2)(x−5)−6(x−3)(x−5) when x=5? Type the answer in the box below.

Answers

Answer:

24

Step-by-step explanation:

when x = 5,

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24

Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected from the 5 classrooms is below.
10, 7, 9, 11, 8

The value that could be the best measure of the center of this data is__.

Answers

Answer:

45 im not to shur

Step-by-step explanation:

10 + 7 + 9 + 11 + 8 = ?

? = 45

pls help me with this

Answers

Answer:

7 with a remainder of 2

Step-by-step explanation:

i just did the math rn

7 R2

12 goes into 86 7 times and has 2 left over

need help with this asap​

Answers

Answer:

they are three I will explain

Step-by-step explanation:

x+4/3÷6/x

this 3 expressions are equivalent to the equation above

1. x+4/3{x/6}

2. {x/6}x+4/3

3. x^2 + 4x /18

Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP

Answers

Answer: Alex 28

Frank 22

Step-by-step explanation: Age difference is 6. Addition is 50

What is the slope of the line that passes through the points (-1, 6) and (14, 3)? Write your answer in simplest form.

Answers

Slope: m= -1/5
If it doesn’t work then just do -1/5

the slope is m= -1/5.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

y_2 - y₁ = m(x₂ - x₁).

here, we have,

the slope of the line that passes through the points (-1, 6) and (14, 3)

Slope: m=  y_2 - y₁/(x₂ - x₁).

              = 3-6/14+1

              = -1/5.

hence, the slope is m= -1/5.

To learn more on slope click:

https://brainly.com/question/3605446

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Make it quick please!

What are the coordinates of the hole in the graph of the function f(x)?

f(x)=x2−9/x−3

Answers

Factor out the numerator first

y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3

The hole is at x-3=0 i.e x=3

And

y=3+3=6

The hole is at (3,6)

A right triangle has one angle that measures 48°. What is the measure of the other acute angle?

Answers

Answer:

minus 48 to 90 then divide the answer by 2

Answer:

42°

Step-by-step explanation:

The 2 acute angles in a right triangle add up to 90°

90° - 48° = 42°

Hope this helps

An elevation of-89ft.is 89 feet_______
See level.

Answers

Answer:

- sign indicates the fact that it's Below sea level

Pls help i need this so I can pass

Answers

Answer:

i cant see the photo, but i would love to help

Step-by-step explanation:

A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle

Answers

Answer:

NOT a right triangle

Step-by-step explanation:

IF it is a right triangle, then the Pythagorean theorem would apply

13^2 + 82^2  = 83^2   ?????

169  + 6724  = 6889

6893  = 6889 ?     No...it is NOT a right triangle

A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.

Answers

Arithmetic sqaure: a + (n-1) * d

              where "a" is the first term, "d" is the common difference

Here given:

a = 10 gallons

d = 5.5 gallons

nth term: 10 + (n-1) * 5.5

Solve for first 5 terms:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

First term=a=10common difference a=5.5

General formula

a_n=a+(n-1)da_n=10+(n-1)5.5

So

a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.5

How many meters are in 360in?

Answers

Answer:

9.411

Step-by-step explanation:

Answer:9.144

Step-by-step explanation:

If
5sin 2x +4 = 10 sin ²x, show
that tanx = 2 or tan x =-1/3

Answers

[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]

[tex]\implies 3 \tan x( \tan x -2) + (\tan x -2) = 0\\\\\implies (\tan x -2) ( 3 \tan x +1) = 0\\\\\implies \tan x = 2 ~~ \text{or}~~ \tan x = - \dfrac 13\\\\\text{Showed.}[/tex]

Please help .!!!!!!!!!

Answers

Answer:

-60 = x

Step-by-step explanation:

(-1/4)x - 12 = x + 3

(-1/4)x = x + 15

-0.25x = x + 15

-60 = x

Answer:
12

Explanation:
Check out the work I’ve attach

Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

Solve the following equation. Then place the correct number in the box provided.

6(x - 1) = 4(x - 2)

Answers

Answer:

x = -1

Step-by-step explanation:

First we expand both sides :

Let's start with the right side:

6(x-1) = 6x-6

Now we do the left side:

4(x-2) = 4x-8

Now we add 6 to both sides:

(6x-6)+6 = (4x-8)+6

Simplify:

6x = 4x -2

Subtract 4x from both sides:

6x - 4x = (4x-2) - 4x

Simplify:

2x = -2

Divide both sides by 2:

2x÷2 = -2÷2

Simplify:

x = -1

I dont see a box so can't do the second part.

Hope this helps and brainliest please

Can someone see if my answers are correct!

Sorry i keep asking questions lol, im just really struggling with math and my teacher wont answer my emails! And my mom doesn't understand any of this even though she's good at math! :(

Answers

Answer:

Step-by-step explanation:

The cross sectional area of a basketball would indeed be a circle. The units for surface area would be meters squared. The units meters cubed would be volume. Area is inherently a 2-dimensional problem. Therefore, having 3-dimensional units makes no sense. In your case, the correct answer would be yards squared

I need some help please

Answers

Answer:

24

Step-by-step explanation:

The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.

the probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slapshots would you expect her to make after 120 attempts?

Answers

600 attempts

Please mark Brainly-est if I’m right

Write the missing number to make these equivalent fractions correct
?/20=2/5

Answers

Answer:

8

Step-by-step explanation:

From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.

From 5 to get to 20 it would be (X4), so we
would do the same for the 2, and 2 times 4
would be 8. The answer is 8/20=2/5

The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the sil price of the bicycle

Answers

84

Because 30% of 120 is 36 and 120-36 is 84
The sale price is $84 because
120-30% = 84
100%-30%=70%=0.7
120 x 0.7 = 84

What is the slope of the line shown?

Answers

Answer:

slope = 1/2

Step-by-step explanation:

Pick two convenient integer coordinates

 I'll use  (0,-1) and (2,0)

slope =   (y1-y2)/(x1-x2) =   (-1-0) / ( 0-2) = 1/2

Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686

Answers

The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

What is geometric series?

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms

A. 6 + 13 + 20 + 27 .

the difference between two terms are 13-6 = 7 , 20-13= 7

The terms are increasing by 7. So it is not geometric

B. 7 + 21 + 35 + 45

the difference between two terms are 21-6 = 14 , 35-21= 14

The terms are increasing by 14. So it is not geometric

C. 14 + 21 + 28 + 35

the difference between two terms are 21-14 = 7 , 28-21= 7

The terms are increasing by 7. So it is not geometric

D. 2 + 14 + 98 + 686

Here the difference is not same, so we find the ratio

14/2= 7

98/14= 7

686/98= 7

So common ratio is 7

When the common ratio is same then it is Geometric series

Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

To know more about geometric progression follow

https://brainly.com/question/24643676

Answer:

D

Step-by-step explanation:

multiplied by 7 each time

x^2 - 72 = 6x
how to complete the square?

Answers

Answer:

x = 12 and x = -6

Step-by-step explanation:

First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:

[tex]x^2-6x-72=0[/tex]

To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:

[tex]ax^2+bx+c=0[/tex]

For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:

[tex](6/2)^2=3^2=9[/tex]

Add and subtract 9 to our equation to get:

[tex]x^2-6x+9-9-72=0[/tex]

The first three terms form a perfect square, we have:

[tex](x^2-6x+9)-9-72=0[/tex]

[tex](x^2-6x+9)-81=0[/tex]

What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:

[tex](x-3)^2-81=0[/tex]

Add 81 to both sides to get:

[tex](x-3)^2=81[/tex]

We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:

[tex]x-3=9[/tex]

[tex]x-3=-9[/tex]

[tex]x=12[/tex]

[tex]x=-6[/tex]

Answer:

Step-by-step explanation
x^2-6×-72= O
(b/2)^2= b, -6:(-6/2)^2=(-3)^2= 9
x^2-6x+(-3)^2-(-3)^2-72=0
(x-3)^2-9-72=0
(x-3)^2-81= 0
(x -3)^2= 81, x-3= ±9
x= +9+3= 12
x= -9+3=-6
: X= 12 , X= -6

PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS


Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?

10
15
100
150

Answers

Answer:

10

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{
∘. How tall is the tree if the point on the ground is 49 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary

Answers

The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft

The situation forms a right angle triangle.

How to find the sides when given angle of elevation

using trigonometric ratios,

tan 64 = opposite / adjacent

Where

opposite side = height of the treeadjacent side = distance from the point on the ground from the tree.

Therefore,

tan 64 = h / 49

cross multiply

h = 49 × tan 64

h = 49 × 2.05030384158

h = 100.464888237

h = 100.46 ft

learn more on angle of elevation here: https://brainly.com/question/27360713

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Our basketball team won 60 percent of their games. If they lost 8 games, how many games did they play altogether?

Answers

Answer:

they played 20 games together

Step-by-step explanation:

use percentages

Let x be the number of total games.

If 60% is won games then 40% is lost games.

(8/x)*100 = 40

8/x = 4/10

80 = 4x

X = 80/4

Therefore the number of games is 20

If they won 60% of games. That means they lost (or drew) 40%.

They lost 8 games. So those 8 games accounts for 40% of all the matches they played.

8 games = 40%
(divide by 8)

1 game = 5%

To get 100% ie the total number of games played you do 5% x 20

So you also do 1 x 20 to get 20 games played in total.

help please. this doesn't make sense ​

Answers

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

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