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Lemur [1.5K]
3 years ago
9

I need help please #19

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

40

Step-by-step explanation:

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What is the area of the trapezoid?
Maslowich
<h3><u>Given Information :</u></h3>

  • Length of parallel sides = 60 ft and 40 ft
  • Height of the trapezoid = 30 ft

<h3><u>To calculate :</u></h3>

  • Area of the trapezoid.

<h3><u>Calculation :</u></h3>

As we know that,

\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\

  • a and b are length of parallel sides.
  • h denotes height.

<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:

\longmapsto Area = \sf \dfrac{1}{2} × ( 60 + 40 ) × 30 ft\sf ^2

\longmapsto Area = \sf \dfrac{1}{2} × 100 × 30 ft\sf ^2

\longmapsto Area = 1 × 100 × 15 ft\sf ^2

\longmapsto Area = 100 × 15 ft\sf ^2

\longmapsto <u>Area = 1500 ft</u>\sf ^2

Therefore,

  • Area of the trapezoid is <u>1500 ft\sf ^2</u>

6 0
3 years ago
Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.
antoniya [11.8K]

we know that

For a spherical planet of radius r, the volume V and the surface area SA is equal to

V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}

The
ratio of these two quantities may be written as

SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})}     \\  \\ SAV =\frac{3}{r}

we know

rMoon=1,738Km\\ rMars=3,397 Km

\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545

therefore

the answer is

1.9

5 0
3 years ago
Read 2 more answers
The answer to 48:(4+4)
11Alexandr11 [23.1K]

Answer:

6:1

Step-by-step explanation:

48:( 4+4 )

= 48:8

= <u>6:1</u>

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3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
marta [7]
<h3>Answer: C) none of the equations are identities</h3>

If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

1/2 - sqrt(3)/2 = 1 + 0

-0.37 = 1

which is false.

6 0
3 years ago
Find the value of x then classify the triangle by its angles
kupik [55]
X = 72 and it's a scalene triangle
5 0
3 years ago
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