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3 years ago

Can y’all please help !!!

Mathematics

1 answer:

Gemiola [76]3 years ago

4 0

Answer:

radius:5

center (2,-4)

Step-by-step explanation:

the equation of a circle is

$(x-h)^{2} + (y-k)^{2} = r^{2}$

where the center is (h,k) and the radius being r

this would mean that for your specific equation,

h=2

k=-4

and r= $\sqrt{25}$ = 5

so in order to graph the circle you start at (2,-4) and measure the distance of 5 units on your compass and graph it!

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Xto the 2nd power - 49 = 0

AnnZ [28]

Answer:

7 to the second power... because 7 times is 49 and 49-49 is 0... so 7 to the second power

6 0

3 years ago

The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris

Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume = 80 tan 36° × 16 = 1280 tan 36° = 1280 × 0.726542528

volume = 929.974435847 cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST

Marta_Voda [28]

Answer:

The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec

Explanation:

The equation that relates velocity, distance and time is:

$velocity = \frac{distance}{time}$

This means that:

distance = velocity * time

In the given, we have:

velocity = 31 m/sec

time = 13 sec

Substitute with the givens in the above equation and solve for the distance as follows:

distance = velocity * time

distance = 31 * 13

distance = 403 meters

Hope this helps :)

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3 years ago

(2a-b)2-(a-2b)2 factorial

kvasek [131]

Hello, we know that for a and b real numbers

$a^2-b^2=(a-b)(a+b)$

So,

$(2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}$

Thank you.

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3 years ago

How do you join the bar you left weighs 45 pounds you add weight to the bar that are 10 pounds each if you add six weights to th

tigry1 [53]

Hello!

45 + 10 + 6 = 61

So, your answer is 61.

I hope that was helpful! c:

4 0

3 years ago