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2 years ago

Find the missing length

Mathematics

1 answer:

natka813 [3]2 years ago

3 0

Answer:

x = 45

Step-by-step explanation:

Corresponding sides of similar triangles will be in same ratio.

$\dfrac{x}{x+18}=\dfrac{20}{28}$

Cross multiply

x*28 = 20*(x+18) {Use distributive method}

28x = 20x + 360

28x - 20x = 360

8x = 360

x = 360/8

x = 45

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II<br>3<br>Find 6 X 915. Show your work.

love history [14]

Answer:

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Step-by-step explanation:

you multiply every number by 6 and you will get the answer

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3 years ago

Which of the two triangles has the greatest area?

katrin [286]

Answer:

they have the same area

Step-by-step explanation:

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2 years ago

Callie bought 2 gallons of juice for $2.58 per gallon. She sold the juice in 1-cup servings for $0.75 each. Each serving is 1/16

konstantin123 [22]

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3 years ago

Read 2 more answers

Workout the probability that spinner A lands on 2 and spinner b does not land on b

zzz [600]

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

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2 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago