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dlinn [17]
3 years ago
10

Will report you if not answered correctly will mark brainliest.​

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

there are links so I could not put them in directly  but hope my sticker not helps I tried my best

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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

6 0
3 years ago
Can you simplify the equation 64x(squared)-112x+49
Leni [432]

Answer:

You cannot simply 64x^2-112x+ 49 further than it is already simplified.

Step-by-step explanation:

5 0
3 years ago
A recipe calls for 2/3 of cups of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
Darina [25.2K]

Answer:

10 cups of milk

Step-by-step explanation:

Make a proportion, where x is the number of cups of milk for 165 cookies:

\frac{2/3}{11} = \frac{x}{165}

Cross multiply and solve for x:

11x = 110

x = 10

So, 10 cups of milk are needed to make 165 cookies

8 0
3 years ago
What is the definition of exponential decay?
tresset_1 [31]

Answer:

Exponential Decay -

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Step-by-step explanation:

Hope this answered your question ^^

8 0
3 years ago
Read 2 more answers
What is the area of the shaded sector of the circle?
oee [108]

Answer:

area if sector= teeta. ×πr²

360

<u>120</u>°. ×<u>2</u><u>2</u>×9×9

360. 7

<u>3×1782</u>

7

5346

5 0
3 years ago
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