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mixer [17]
3 years ago
9

A kite with a string 80 feet long makes an angle of elevation of 40° with the ground, assuming the string is straight, how high

is the kite? Round your answer to the nearest foot. Do not include units.

Mathematics
1 answer:
defon3 years ago
3 0
The diagram of the kite is shown below

To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).

The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.

sin(x)= \frac{opp}{hyp}
sin(40)= \frac{x}{80}
80sin(40)=x
x=51.42 rounded to two decimal place

Perpendicular height of the kite from the ground is 51.42 feet

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In a right triangle, 40-x=(3x). What is the value of x?
Archy [21]

Answer:

x=10

Step-by-step explanation:

Let's solve your equation step-by-step.

40−x=3x

Step 1: Simplify both sides of the equation.

40−x=3x

40+−x=3x

−x+40=3x

Step 2: Subtract 3x from both sides.

−x+40−3x=3x−3x

−4x+40=0

Step 3: Subtract 40 from both sides.

−4x+40−40=0−40

−4x=−40

Step 4: Divide both sides by -4.

−4x

−4

=

−40

−4

x=10

8 0
2 years ago
Find the mode of the data.
mixer [17]
The mode is a term that is repeated the most.
And the one which is the repeated is 30.
6 0
3 years ago
You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. a. Explain why you cannot make identical fruit baskets
GrogVix [38]
Question 1:
73 is a prime number. It can only be divided by 1 and by itself. 

The GCF of the three numbers:
 54                               36                            73
1×54                           1×36                          1×73
2×27                          2×18
3×18                           3×12
6×9                            4×9
                                   6×6

GCF of 54, 36 and 73  is 1

GCF of 54 and 36 is 18

If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
6 0
3 years ago
Hii please help i’ll give brainliest
pshichka [43]

Answer:

maybe B

Step-by-step explanation:

cuz interquaInterquartile is just a range of q1-q3

7 0
2 years ago
Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fan
Deffense [45]

Answer:

  E)  176

Step-by-step explanation:

The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.

There are a total of 5+3 = 8 ratio units, so there are ...

  8 × 22 = 176

people in the group.

_____

<em>Check</em>

The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...

  88 : 88 = 1 : 1

7 0
3 years ago
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