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Lisa [10]
2 years ago
12

What is the are of a triangle (picture provided)

Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

Area Δ = 102.3 units² ⇒ The answer is (d)

Step-by-step explanation:

* Use the formula of the area:

∵ Area of the triangle = 1/2 (a)(b) sin(C)

∵ We have the length of the 3 sides

∴ Use cos Rule to find the angle C

∵ cos(C) = (a² + b² - c²)/2ab

∵ a = 25 , b = 13 , c = 17

∴ cos(C) = (25² + 13² - 17²)/2(25)(13) = 625 + 169 - 289/650 = 505/650

∴ m∠C = 39°

∴ Area Δ = (1/2)(25)(13)sin(39) = 102.3 units²

∴ The answer is (d)

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It would be helpful to draw out a diagram but I'll explain in words.

We start at 0, ground level.

Then up a 100 metre hill, so now we are at 100m.

It plunges down 72, so we take away 72 to get 28m.

Then it takes them back up 48m, so we add 48 to get 76m.

That means that they are 76m above from where they started, ground level.

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6 0
3 years ago
Toni rides the Ferris wheel shown for 15 revolutions. A photo of a Ferris wheel has the diameter labeled fifty-six feet. Questio
NARA [144]

Answer:

a. 176 feet b. 2640 feet

Step-by-step explanation:

a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.

So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet

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5 0
3 years ago
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Colt1911 [192]

Answer:

She has 80 apples in all.

Step-by-step explanation:

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8=10%

(8×10)=(10×10)%

80=100%

7 0
3 years ago
Read 2 more answers
An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted
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6 0
3 years ago
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

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Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

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To peel all the potatoes they need:

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So it will take them 18 minutes to peel all the potatoes

7 0
2 years ago
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