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AfilCa [17]
3 years ago
12

Solve the word problem.  The height of a triangle with base b and area A is given by the formula h = 2A/B .  What is the height

of a triangle with area 26 cm2 and base 8 cm?  
A.1.625 cm  
B.3.25 cm  
C.3.5 cm  
D.6.5 cm
Mathematics
1 answer:
jeka943 years ago
4 0
h =  \frac{2A}{b} \ \ \ and\ \ \ A=26\ cm^2\ \ \ and\ \ \ b=8\ cm\\\\h= \frac{2\cdot26}{8} = \frac{2\cdot2\cdot13}{2\cdot2\cdot2} = \frac{13}{2} =6.5\ [cm]\\\\Ans.\ D
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4 0
2 years ago
Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0
1 year ago
An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, de
Pavlova-9 [17]

Answer:

the answer is b

Step-by-step explanation:

8 0
3 years ago
About 786,700,000 passengers traveled by plane in the United States in 2010. What is
Schach [20]

Answer: 7.867 x 10^8

Step-by-step explanation:

(the “^8” is an exponent of 8)

4 0
3 years ago
Solve the equation. Check the solution.<br> 8- 2x - 5- 13x = 6
V125BC [204]

Answer:

see below

Step-by-step explanation:

8- 2x - 5- 13x = 6

Combine like terms

-15x+3=6

Subtract 3 from each side

-15x+3-3=6-3

-15x = 3

Divide each side by -15

x = 3/-15

x = -1/5

Check

8 - 2(-1/5) -5 -13(-1/5) = 6

8 + 2/5 -5 +13/5 = 6

3 + 15/5 = 6

3+3=6

6=6

4 0
4 years ago
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