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3 years ago

Fraction answer 21/3+13/4

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

10.25

Step-by-step explanation:

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What are the x and y intercepts of the line?? 5x-2y=-20

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X=(-4,0)
y=(0,9)
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3 years ago

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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1

Tamiku [17]

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

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2 years ago

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Savatey [412]

Answer:

cool dude surface of area cylinder of circle surface

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2 years ago

Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the Scale factor. I need asap

murzikaleks [220]

Answer:

With an enlargement the scale factor would be greater than zero. With a reduction the scale factor would be a fraction or maybe even a decimal.

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2 years ago

Find the area of the triangle

BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

The hard part about this problem is finding the area without the height

The formula to do this is Area = $\sqrt{S(S-A)(S-B)(S-C)}$

A, B, C represent the sides

S represents $\frac{1}{2}$ (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

Sides B and C are the same length because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

Remember: S represents $\frac{1}{2}$ (A + B + C)

S = $\frac{1}{2}$ (28 + 21 + 21)

S = $\frac{1}{2}$ (70)

S = 35

Lets plug the numbers into the Area Formula now!

Area = $\sqrt{35(35 - 28)(35 - 21)(35 - 21)}$

According to the order of operations, we need to do the calculations in parentheses first

35 - 28 = 7

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

$\sqrt{48020}$ = 219.13

The Area of Δ ABC = 219.13

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2 years ago