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Tomtit [17]
3 years ago
7

What is the value of a?

Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

A=\dfrac{b_1+b_2}{2}\cdot h

b_1,\ b_2 - bases

h - height

We have:

A=128,\ b_1=a+2,\ b_2=a-2,\ h=8

Substitute:

128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8

128=8a          <em>divide both sides by 8</em>

16=a\to a=16

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Evaluate the expression
Veseljchak [2.6K]

Answer:

3rd Option: 1

Step-by-step explanation:

Step 1: Define

(x + 4)/3x

x = 2

Step 2: Substitute and Evaluate

(2 + 4)/3(2)

6/6

1

6 0
2 years ago
Read 2 more answers
A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e
prisoha [69]

The total electric energy bill for the month is \$104.24

<u>Solution: </u>

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges \$0.08 per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = \$0.08

\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = \$104.24

5 0
3 years ago
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ehidna [41]
The answer is C, from where the end lines go down to on the graph
8 0
3 years ago
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
stiks02 [169]

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

3 0
2 years ago
2 3/4+3 5/8 simplified
otez555 [7]

2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}

Solution:

Given expression is 2\frac{3}{4}+3 \frac{5}{8}.

To simplify the expression 2\frac{3}{4}+3 \frac{5}{8}.

Let us first convert the mixed fraction into improper fraction.

2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}

            =\frac{8+ 3}{4}+ \frac{24+5}{8}

            =\frac{11}{4}+ \frac{29}{8}

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

            =\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}

            =\frac{22}{8}+ \frac{29}{8}

            =\frac{51}{8}

Now, divide 51 by 8 and again write it in the mixed fraction.

             =6\frac{3}{8}

2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}

Hence, the simplified answer is 6\frac{3}{8}.

7 0
3 years ago
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