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Delicious77 [7]

3 years ago

12

14) A submarine is at a depth of 550 meters below sea

1 answer:

natta225 [31]3 years ago

3 0

X=30 degrees for each of the congregant angles

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Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

so

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

What is the solution to the system of equations?<br> O (-4,1)<br> O (-2, 1)<br> O (1.4)<br> O (1,-2)

Tcecarenko [31]

Answer:

<em></em> $(1,-2)$ <em></em>

<em></em>

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution here is the intersection points of the two lines. From the attachment, both lines meet

$x = 1$

$y = -2$

<em>Hence, the solution is: </em> $(1,-2)$ <em></em>

3 0

3 years ago

(x^2-7x)^2+4(x^2-7x)-96 (x 2 −7x) 2 +4(x 2 −7x)−96

natita [175]

Answer:

answer...

Step-by-step explanation:

This is the answer.

6 0

2 years ago

NOT DRAWN TO SCALE. find x

WARRIOR [948]

Picture? I cant answer when there us no picture?

7 0

3 years ago

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist

yuradex [85]

Answer:

0 < t < 5 is the required interval for the differential equation (t - 5)y' + (ln t)y = 6t to have a solution.

Step-by-step explanation:

Given the differential equation

(t - 5)y' + (ln t)y = 6t

and the condition y(1) = 6

We can rewrite the differential equation by dividing it by (t - 5) as

y' + [(ln t)/(t - 5)]y = 6t/(t - 5)

(ln t)/(t - 5) is continuous on the interval (0, 5) and (5, +infinity).

6t/(t - 5) is continuous on (-infinity, 5) and (5, +infinity)

We see that for these expressions, we have continuity at the intervals (0, 5) and (5, +infinity).

But the initial condition is y = 6, when t = 1.

The solution to differential equation is certain to exist at (0, 5)

Which implies that

0 < t < 5

is the required interval.

3 0

3 years ago