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pychu [463]
3 years ago
6

The length of the hypotenuse of a right triangle is 26 in. one leg measures 13 in. find the length of the other leg. round your

answer to two decimal places. leg length
Mathematics
1 answer:
Ghella [55]3 years ago
3 0
Use c^2=a^2+b^2
26^2= 13^2 + b^2
676=169 + b^2 (subtract 169 from both sides)
507= b^2 (take the square root of each side)
22.52 in. =b
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Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl
loris [4]

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

2x^2-7x+5

We need to find the factored form of this expression.

Step 1: Given

2x^2-7x+5

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

2x^2-5x-2x+5

(2x^2-5x)+(-2x+5)

Step 3: Taking out common factors from each parenthesis.

x(2x-5)-1(2x-5)

Step 4: Taking out common factors.

(x-1)(2x-5)

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

3 0
3 years ago
Abby sold half of her comic books and then bought seventeen more. She now has 32. With how many did she begin?
Art [367]

Answer:

15 because 32 - 17 = 15

Step-by-step explanation:

3 0
3 years ago
Find the volume of the composite solid.
luda_lava [24]

Answer:

768 m^2

Step-by-step explanation:

<u>Separate the shapes</u>

We can first separate the triangular pyramid from the rectangular prism.

We can calculate them separately.

<u>Calculate</u>

The volume of the triangular pyramid is the base multiplied by the height divided by 3. The base of the pyramid has the same base as the prism so:

8 * 8 = 64

Then we need the height which is 6 so:

64 * 6/3 = 64 * 2 = 128 m^2

Then we calculate the volum of the prism; the formula for that side times side time side:

8 * 8 * 10 = 640 m^2

The total volume is them added up:

128 + 640 = 768 m^2

7 0
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Alenkasestr [34]

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8 0
3 years ago
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Margaret [11]
(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5
5 0
3 years ago
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