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Kay [80]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

d. 18

Step-by-step explanation:

g(x)=3x-3

3(7)-3

21-3

=18

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From the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8
Elena L [17]

Answer:

619.13 feet

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between doghouse to the foot of the tower.

We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.

First of all, we will convert our given angle into degrees as it is given in degrees and minutes.

We will divide 8 by 60 to convert 8 minutes into degrees as:

\frac{8}{60}=0.13333

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(28.13^{\circ})=\frac{331}{x}

x=\frac{331}{\text{tan}(28.13^{\circ})}

x=\frac{331}{0.534623339864}

x=619.12747783

Upon rounding to nearest hundredth, we will get:

x\approx 619.13

Therefore, the doghouse is 619.13 feet far from the foot of the tower.

6 0
3 years ago
Boden's account has a principal of ​$700 and a simple interest rate of 4.1​%. Complete the number line. How much money will be i
wel

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

:D

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
Can i have help please
ipn [44]

yes I well help you, the answer is 4,–3,–3

7 0
2 years ago
Read 2 more answers
What is the slope-intercept form of the function described by this table?
vladimir2022 [97]
Calculating for slope:
y2-y1 = m(x2-x1)
7-2 = m(2-1)
m= 5

y=mx+b
y=5x+2
5 0
4 years ago
Ben has two boxes. The red box has a volume of 46 cubic feet. The blue box has a height of 3 feet, a length of 7 feet, and a wid
Juliette [100K]

Answer:

The blue box is 38 cubic feet grater than the red box.

Step-by-step explanation:

Cuboid:

  • It is a three dimensional shape.
  • It has 6 faces.
  • The surface area of a cuboid is = 2(lb+bh+lh), where l = length, b= width, h= height.
  • The volume of a cuboid is = l×b×h

Given that,

Ben has two boxes.

The volume of the red box is 46 cubic feet.

The dimensions of the blue box is 7 feet by 4 feet by 3 feet.

The volume of the blue box is = length ×width × height

                                                  =(7×4×3) cubic feet

                                                  = 84 cubic feet

The blue box is (84-46) cubic feet =38 cubic feet grater than the red box.

8 0
3 years ago
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