All categories

2 years ago

Help picture below problem 13

Mathematics

1 answer:

kirza4 [7]2 years ago

8 0

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

*look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

$?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12$

Thus the missing side length is 12 cm

Hope that helps!

You might be interested in

Someone help me please !!!

KIM [24]

Answer:

1. 10

2. 12

3. Sqrt 130

4. Sqrt 45

Step-by-step explanation:

To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is $a^2+b^2=c^2$ where a and b are the legs with a being the smallest and c is the hypotenuse.

1. a=6, b=8, c=?

$6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c$

2. a=5, b=?, c=13

$5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b$

3. a=7, b=9, c=?

$7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c$

4. a=2, b=?, c=7

$2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b$

5 0

3 years ago

Find the equation of the straight line passing through the point (3, 5)

Ne4ueva [31]

Answer:

y = -1/3x + 6

Step-by-step explanation:

the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.

5 = -1/3(3) + b

5 = -1 + b

6 = b

5 0

3 years ago

She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159

Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

total number of hours

1) x+y= 15

total amount she earned

2) x* $15+ y* $9= $159

From equation 1

x+y= 15

x=15-y

we replace this x value in equation 2

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

11=y the number of hours she worked at grocery store.

we place y=11 in our derived x equation

x=15-y

x=15-11

x=4 the number of hours she worked at tutoring.

3 0

3 years ago

9x - 3 + x² , when x = 4

Fiesta28 [93]

Answer:

Step-by-step explanation:

hope this helps

9(4)-3+4^2

36-3+4^2

33+4^2

33+16

8 0

2 years ago

Read 2 more answers

Write a division problem whose quotient has its first digit in the hundreds place

Katen [24]

Here's one --> 1000÷100=10

6 0

3 years ago