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n200080 [17]
3 years ago
10

Mpuy each expression. 1) (5p2 – 3) + (2p2 – 3p3)

Mathematics
1 answer:
laila [671]3 years ago
3 0
The anwser is 5x-3 because you remove the parentheses and pair like terms
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Correct me if I’m wrong please

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G.SRT.B.5 Worksheet #2
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B): x=8, y=8root2, z=16
c): x=4, y=12, z=8root3
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What is cos 75° to the nearest<br> ten-thousandth?
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The answer is 0.2588
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An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
ElenaW [278]
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.

These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)

To work out the height, use Pythagoras’ theorem.

a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides

7^2 - 3.5^2 = 36.75

Square root answer

= 6.06 cm

That’s the height of the triangle

Area of a triangle is base x height divided by 2

So 7 x 6.06 = 42.43…

/2

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8 0
3 years ago
Use the Pythagorean Theorem to find the missing lengths
Annette [7]

Answer:

4) c = 10

5) b = 10

6) b = 12

7) a = 4

Step-by-step explanation:

<h3>Pythagorean Theorem = a^2 + b^2 = c^2</h3>

to solve these, just substitute a, b, and c for the values given.

4) a = 8, b = 6

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

c = \sqrt{100}

c = 10

5) a = 24, c = 26

a^2 + b^2 = c^2

24^2 + b^2 = 26^2

576 + b^2 = 676

subtract 576 from both sides

b^2 = 676 - 576

b^2 = 100

b = 10

6) a = 5, c = 13

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

subtract 25 from both sides

b^2 = 169 - 25

b^2 = 144

b = 12

7) b = 11, c = \sqrt{137}

a^2 + b^2 = c^2

a^2 + 11^2 = 137

a^2 + 121 = 137

a^2 = 137 - 121

a^2 = 16

a = 4

4 0
3 years ago
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