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kogti [31]
3 years ago
14

Helppp I NEED TO FIND AREA

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

The area is 75 in²

Step-by-step explanation:

<h3>Area of trapezoid is:</h3>

\rm Area = \frac{(21 + 9) \times 5 }{2}

\rm Area = \frac{ \cancel{30} \times 5}{\cancel{2}}

\rm Area = 15 \times 5

\blue{\boxed{\rm Area = 75 {in}^{2}}}

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A company’s board of directors wants to form a committee of 3 of its members. There are 4 members to choose from. How many diffe
Ugo [173]

Answer:

4

Step-by-step explanation:

There are 4 board members and 3 committee members. You can solve this using combinations:

4C3 = 4!/(3!(4-3)!) = 4!/(3!1!) = 4

You can also solve this by recognizing that since there is one fewer committee spot than there are board members, there will be one possible committee excluding each of the 4 board members.

4 0
4 years ago
Just help please need to pass
Anni [7]

Answer: \frac{1}{10}

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

\frac{3*2}{5*2} = \frac{6}{10}         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

\frac{1*5}{2*5} = \frac{5}{10}

Finally, subtract the two fractions to find the difference between the two times:

\frac{6}{10} -\frac{5}{10} = \frac{1}{10}

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

7 0
3 years ago
Read 2 more answers
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

V=523.6\ cm^3

The mass is:

m=8.09 gr/cm^3 \cdot 523.6\ cm^3

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0
3 years ago
The radius of a circle is 44 centimeters. What is the circle's circumference?
Kay [80]

Answer:

276

Step-by-step explanation:

Circumference = 2πr

= 276

7 0
3 years ago
Write an equation of the line that has a slope of -7 and y-intercept 6 in slope intercept form
Vedmedyk [2.9K]
Equation in <span>slope intercept form
y = -7x + 6

hope it helps</span>
3 0
3 years ago
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