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Yuki888 [10]
3 years ago
11

The height and sides of a triangle are four consecutive integers. the height is the first integer, and the base is the third int

eger. The perimeter of the triangle is 42 in. Find the area of the triangle.
Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

  84 in²

Step-by-step explanation:

The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.

These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...

  A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.

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Please help!!!!! Susan walked 1 2/3
Lelu [443]

Answer:

= 1  1/3 miles or 1. 336 miles

Step-by-step explanation:

if 1  1/4 (5/4)hrs = 1 2/3 (5/3)miles      or        if 1.25hrs  = 1.67miles

1 hr =<u> 1 hr x 5/3miles</u>                           or        1 hr =  <u>1hr x 1.67miles</u>

                 5/4hrs                                               1.25hrs

= <u>1  1/3 miles</u>                                        or        <u> 1. 336 miles</u>

7 0
2 years ago
$1400 from​ fund-raisers in a 18​-month CD paying 3.7​%
saw5 [17]

Answer:

<u>The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.</u>

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

<u>The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.</u>

8 0
3 years ago
What percent of 21.5 is 55.04
amid [387]
Percent formula : is/of = % / 100

what percent of 21.5 is 55.04...
% = x....because this is what we r looking for
is = 55.04
of = 21.5
now we sub into the formula
55.04 / 21.5 = x / 100
cross multiply because this is a proportion
(21.5)(x) = (100)(55.04)
21.5x = 5504
x = 5504 / 21.5
x = 256 <== so ur answer is 256%
5 0
3 years ago
Your neighbor has been saving to buy a dirt bike. He has found a dirt bike for $836, which is 88% of the total amount he has sav
Gre4nikov [31]

Answer:

$936.32

Step-by-step explanation:

To solve this problem we need to find the remaining 12% of money our neighbor has saved since 88% was $836. To do this, we simply multiply $836 by 12%. Remember to change 12% into its decimal form (12% -> 0.12).

$836 x 0.12 = $100.32

Now, our last step is to add $100.32 to $836.

$836 + $100.32 = $936.32

Our answer is $936.32.

7 0
3 years ago
X + 2y = 8<br> X + 3y = 12
Readme [11.4K]

Answer:

(0,4)

Step-by-step explanation:

Subtract the first equation from the second, obtaining y = 4.  Then substitute 4 for y in the first equation, obtaining x + 2(4) = 8; it follows that x = 0.

The solution is (0,4).

7 0
3 years ago
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