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3 years ago

10) Find four consecutive even integers whose sum is 100. What is the equation used?

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:22

Step-by-step explanation:

Let x be the smallest even integer.

Thus, our next numbers are x+2, x+4, and x+6.

Summing them up, we get 4x+12=100. Hence, x=22.

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3 years ago

PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!

natulia [17]

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

<h2>Mark me BRAINLIEST </h2>

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3 years ago

Read 2 more answers

PLEASE HELP! WILL MARK BRAINLIEST!!

ycow [4]

Answer:

18/121

1/4

(not 100% sure)

6 0

4 years ago

How to write and solve 445.76 x 9.634

STALIN [3.7K]

445.76 * 9.634

use your calculator

answer is 4294.45184

4 0

3 years ago

Could someone please help me:) I am stick and I am not sure what to do

Delicious77 [7]

Answer:

Part 5.1.1:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin 2A = \frac{\sqrt{15}}{8}$

Part 5.1.1

Recall that:

$\displaystyle \sin^2 \theta + \cos^2 \theta = 1$

Let θ = 2A. Hence:

$\displaystyle \sin ^2 2A + \cos ^2 2A = 1$

Square the original equation:

$\displaystyle \sin^2 2A = \frac{15}{64}$

Hence:

$\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1$

Subtract:

$\displaystyle \cos ^2 2A = \frac{49}{64}$

Take the square root of both sides:

$\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}$

Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2

Recall that:

$\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}$

We can use the third form. Substitute:

$\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1$

Solve for cosine:

$\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}$

In conclusion:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)

4 0

3 years ago

10) Find four consecutive even integers whose sum is 100. What is the equation used?​

10) Find four consecutive even integers whose sum is 100. What is the equation used?