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mariarad [96]
3 years ago
11

A tabletop is in the shape of a trapezoid. The lengths of the trapezoid's parallel sides are 48 inches and 40 inches. The height

of the trapezoid is 24 inches.
What is the area of this tabletop?

112 in²
1056 in²
2112 in²
23,040 in²
Mathematics
2 answers:
goldenfox [79]3 years ago
4 0
The equation is
area =  \frac{1}{2} (a + b)h
If you put in the numbers you get
area =  \frac{1}{2} (48 + 40) \times 24
This comes to 1056. So the answer is 1056 in^2

maw [93]3 years ago
3 0
The answer would be 1056 <span>in²</span>

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Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step:  1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

5 0
3 years ago
Evaluate the expression 2s for s=9
Bas_tet [7]
Hello, there!


If s = 9, then 2s = 2 * 9

2 * 9 = 18

2s = 18


I hope I helped!

Let me know if you need anything else!

~ Zoe
6 0
3 years ago
Rita and tina make $11 an hour rita worked r hours and tina worked t hours
nlexa [21]
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:

Rita's total wages = 11r + 32

Tina's total wages = 11t
7 0
3 years ago
15 and 17 pls.. 15 points!!!!
Maurinko [17]

Step-by-step explanation:

15) 50 ÷ 2 = 25

17) Mean = 301, Mode = 40-50

(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35

(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65

(70+80) ÷ 2 = 75

• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540

55×10 = 550, 65×4 = 260, 75×2 = 150

Mean = (60+200+350+540+550+260+150) ÷ 7

= 2110 ÷ 7

= 301.4285....

= 301

Mode : the highest frequency

3 0
3 years ago
Read 2 more answers
Find the square root of 784 using prime factorization.
WINSTONCH [101]

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

7 0
3 years ago
Read 2 more answers
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