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Irina-Kira [14]
2 years ago
12

The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.​

Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

9514 1404 393

Answer:

  base: 12 in

  altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Filling in the given information, we have ...

  42 = 1/2(b)(b -5)

  b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

  (b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.

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If 3 is added to a number and the sum is multiplied by 7,gives 91 as result. Find the number.​
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Answer:

10

Step-by-step explanation:

10+3 = 13

13 x 7 = 91

4 0
3 years ago
Read 2 more answers
Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of gro
STALIN [3.7K]

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

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and combines it with 7 pounds of ground turkey which is only 3% fat

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F2 = 0.21 pound

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F = 0.75+0.21

F = 0.96 pound

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T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

5 0
3 years ago
3. [6x - 2y=2.<br> (2 + 6x=y
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Answer:

3. [6x - 2y=2.

(2 + 6x=y

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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