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2 years ago

9

A basket contains four apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and

then mix the fruit. Find the probability all three times, the fruit is an apple.
HELP

1 answer:

cupoosta [38]2 years ago

7 0

Answer:

12

Step-by-step explanation:

(1×3)+(1×3)+(1×3)+(1×3)

3+3+3+3

12 apples

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.prove that cos (90-A).sinA + sin(90 - A).cosA = 1

pav-90 [236]

Answer:

See Explanation

Step-by-step explanation:

$cos (90-A).sinA + sin(90 - A).cosA = 1 \\ \\ LHS = cos (90-A).sinA + sin(90 - A).cosA \\ \\ = sinA.sinA + cosA.cosA\\ \\ = sin ^{2} A + cos^{2} A \\ \\ = 1 \\ \\=RHS\\\\ reason \\ cos (90- \theta) = sin \theta \\ sin (90- \theta) = cos \theta \\ sin ^{2} \theta + cos^{2} \theta = 1 \\ \\ thus \: proved \\$

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2 years ago

A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa

Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ$

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)$

Now, let us have a look at another right angled triangle ABD:

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ$

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft$

Correct answer is 54.82 ft.

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2 years ago

Match with the appropiate property:

Nonamiya [84]

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

hope this helps! :)

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2 years ago

Jodie measure a house and its pot and made a scale drawing. The scale of the drawing was 2 inches : 1 foot. If the actual length

Hoochie [10]

Answer:

Length of yard in the drawing is 148 inches

Step-by-step explanation:

The scale is 2in : 1ft

Hence x inches will be 74ft

X = (74×2)÷ 1 = 148 inches

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2 years ago

Read 2 more answers

What is the value of x ?

I am Lyosha [343]

Answer: x is 90

Step-by-step explanation:

because x-20 is equal to 70

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2 years ago