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3 years ago

(I screenshot the question and choices) (plsss help me solve this <3 )

Mathematics

1 answer:

slava [35]3 years ago

4 0

Ok, the formula to find the area of a regular polygon is...

A = 1/2 nsr

In this equation...

n = number of sides
s= side length
r = apothem (radius of the inscribed circle)

To find the area, we must first find the apothem. The apothem is the radius of the inscribed circle (draw a line from the center of the figure to the center of one of the sides). If you draw the apothem in to the figure, it creates a right triangle with a hypotenuse of 13.07 in and one side length of 5 in (1/2 of the figure's side length). Now we can find the apothem with the formula

a^2 + b^2 = c^2
a^2 = c^2 - b^2
a^2 = 13.07^2 - 5^2
a^2 = 170.8249 - 25
a^2 = 145.8249
a = 12.076

Now we have the value for the apothem and we can plug it into the area formula...

A = 1/2 nsr
(recall that n = number of sides; s= side length; r= apothem)

A = 1/2(8×10×12.076)
A = 40×12.076
A= 483.04 in^2

Rounded to the nearest tenth would be...

483.0 in^2

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find the volume of the figure. Round to the nearest hundredth if necessary. (figure is not to scale)

ludmilkaskok [199]

The volume is 336 cubic feet

6x8x3 = 144
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144+192=336

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3 years ago

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Please help and explain how to do this. thank you in advance!

Sholpan [36]

We want to solve
$3e^{2x}+5=27$

Subtract 5 from each side.
$3e^{2x}=22$
Divide each side by 3.
$e^{2x}=7.3333$
Take natural logs of each side.
$2x=ln(7.3333)=1.9924$
Divide each side by 2.
x = 0.9962

Answer: x = 0.996 (nearest thousanth)

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3 years ago

Caleb went to the grocery store to purchase hamburger meat and hamburger buns for an upcoming barbecue with his friends. At the

Eva8 [605]

About $0.75 per person.

First, let’s find the cost for each portion of hamburger meat and the cost for each bun.

We can do this for the meat by doing 1.49/4 to get 0.3725.

Now we can do the same with the buns by doing 2.99/8 to get 0.37375.

Now just add these together. 0.3725+0.37375 is 0.74625, which can be rounded to $0.75.

The cost per person is approximately $0.75.

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3 years ago

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Which pair are equal trig values? A) tan 45° and sin 45° Eliminate B) sin 40° and sin 50° C) sin 36° and cos 54° D) cos 65° and

ira [324]

Answer:

Step-by-step explanation:

note that sin x = cos(90 - x ) ← Cofunction identity

If x = 36 then 90 - x = 90 - 36 = 54

Hence sin 36° = cos 54° → C

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3 years ago

The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that

dezoksy [38]

Answer:

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

Step-by-step explanation:

Given:

The wind speed near the center of a tornado is represented by the equation,

$S=93\log d+65$

Where,

d = the distance, in miles

S = the wind speed, in miles per hour.

To Find:

S = ? at d = 4 miles

Solution:

We have

$S=93\log d+65$ .........Given

Substitute d = 4 in above equation we get,

$S=93\log 4 + 65=93\times 0.602 +65=120.99$

Rounding the answer to the nearest tenth we have

$S=121.0\ mph$

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

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3 years ago