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alexgriva [62]
2 years ago
11

A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a =

4 and c = 5.
Mathematics
1 answer:
pochemuha2 years ago
3 0

Answer:

45750 cm²

Step-by-step explanation:

<h3>Area of triangle:</h3>

    a = 4 and c = 5

 base length = 3ac²

                      = 3 * 4 * 5 * 5

                     = 300 cm

    height = 5 cm more than the base length

               = 300 + 5

               = 305 cm

      \sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}

                                    \sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2

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a hockey season ticket holder pays $99.26 for her tickets plus $4.50 for a program each game. A second person pays $18.68 for a
blsea [12.9K]

Answer:

7 games

Step-by-step explanation:

<u>First Person:</u>

Fixed Cost of 99.26

Variable Cost of 4.50 per game (program cost)

<u>Second Person:</u>

No Fixed Cost

Variable cost of 18.68 per game (ticket cost)

Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:

<u>First Person Equation:</u>

99.26 + 4.50x

<u>Second Person Equation:</u>

18.68x

Now, equate and solve for x:

99.26 + 4.50x = 18.68x

99.26 = 18.68x - 4.50x

99.26 = 14.18x

x = 99.26/14.18

x = 7

So, the answer is 7 games

7 0
4 years ago
11. Name a pair of complementary angles in this figure.
vesna_86 [32]

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Step-by-step explanation:

It a acute and angle so it equal complementary

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2 years ago
What is three eighths plus one half
Annette [7]

Answer:

0.875

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Show step by step for 3576 divided by 9.1
yanalaym [24]
First make it so that it is now 35,760 ÷ 91
now take 357 divided by 91 and you get 3 with a remainder of 84
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7 0
4 years ago
Factorise x squared + 4x + 3 ​
olganol [36]
<h3>Answer:  (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

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There are two ways to multiply to 3 and they are

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But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

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