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ozzi
3 years ago
15

The height of a trapezoid is 8 inches and its area is 48 in.² one base of a trapezoid is 6 inches longer than any other base wha

t is the length of bases
Mathematics
1 answer:
Mkey [24]3 years ago
3 0
A = (B+b)·h/2 = 48 and B=b+6

2·48 = (b+6+b)·8
12 = 2b + 6
6 = 2b
b = 3 <span>inches
B = 9 </span><span>inches</span>
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Find the missing side lengths. Leave your answers as radicals in simplest form. Please help!! Due today
Nataly_w [17]

Answer:

m = 10\sqrt 3

n = 10

Step-by-step explanation:

Required

Find m and n

Considering the given angle, we have:

\sin(60) = \frac{Opposite}{Hypotenuse}

This gives:

\sin(60) = \frac{m}{20}

Make m ths subject

m = 20 * \sin(60)

\sin(60) =\frac{\sqrt 3}{2}

So, we have:

m = 20 *\frac{\sqrt 3}{2}

m = 10\sqrt 3

Considering the given angle again, we have:

\cos(60) = \frac{Adjacent}{Hypotenuse}

This gives:

\cos(60) = \frac{n}{20}

Make n the subject

n = 20 * \cos(60)

\sin(60) =\frac{1}{2}

So, we have:

n = 20 *\frac{1}{2}

n = 10

5 0
2 years ago
A calculator that cost $60 in 1980 now sells for $10. What was the percent of decrease​
Romashka-Z-Leto [24]

Answer: 16.6%

Step-by-step explanation:

$60 divided by 6 = $10

so divide 100 by 6 and you get about 16.6

I Hope this Helps!

4 0
3 years ago
Read 2 more answers
1. Your average daily balance on your charge card for the month of July is $855.28. If your card carries an annual interest rate
Nat2105 [25]
1. Using "exact" interest, your charge will be
.. I = Prt
.. I = $855.28*0.154*(31/365)
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2. It will take 52.01 months to pay off the loan.

3. Your payment on 15,250 for 4 years will be $363.41. The effective interest rate that payment represents on a loan of $15,000 is 7.604%

4. Todd's monthly payments will be $409.06, so his total outlay will be
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4 0
3 years ago
Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets
Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

 x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0
3 years ago
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dexar [7]

Answer:

8r and -4r

3s and -3s

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7 0
2 years ago
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