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2 years ago

13

ㅤpoint c and point d are plotted on the graph. plot points a and b to form rectangle abdc with an area of 36 square units. plot

point e at (2, 4).

2 answers:

AveGali [126]2 years ago

5 0

Answer:

A:(2,2) B: (-4,2)

Step-by-step explanation:

creativ13 [48]2 years ago

5 0

A = (2, 2) | B = (-4, 2)

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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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3 years ago

Explain what each of the numbers -10, -20, and -30 tell you about acount 5.

Nataly [62]

They are multiples of 5

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2 years ago

6 people equally share 56 gummy worms. How many gummy worms does each person get?

gregori [183]

Answer:

B: 9 2/6 gummy worms

Step-by-step explanation:

You can't divide 56 equally with 6, so you have to find the nearest dividable number. That number is 54. 54 divided by 6 is 9, which eliminates option C and D. Since 56-54 (the number we took) is 2, the answer is B.

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2 years ago

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20 pen cost $1.60 what is the unit rate

Blababa [14]

1.60/20 =0.08

0.08 per pen

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2 years ago

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8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m

jeka94

Answer:

18.28 m

Step-by-step explanation:

Given the flower garden in the question :

The shape is composite and can be divided into 2 semicirles and rectangle

The perimeter of a semicircle is the Circumference of the semicircle = πr

Hence, 2 semicirles = 2πr

Radius of semicircle = 2/2 = 1

Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m

The perimeter of rectangle; length and width are 6m and 2 m respectively :

Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m

Tve perimeter of garden = 6.28 + 12 = 18.28 m

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2 years ago