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dimaraw [331]
3 years ago
7

When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to

the nearest foot?
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

18.91 cm

Step-by-step explanation:

Let x represent the height of the flag pole

Tan= opposite/ adjacent

Tan 42°= x/21

x= Tan 42° × 21

= 0.9004 × 21

= 18.91 cm

Hence the height is 18.91 cm

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mina [271]

Answer:

The area of the square should be 3

Step-by-step explanation:

a= 1.73

8 0
3 years ago
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By how much is 3 4/5 greater than the product of 3/5 x 1 3/4
dalvyx [7]

Answer: 6.65

Step-by-step explanation:

3 4/5 = 3.8

1 3/4 = 1.75

3.8*1.75= 6.65

Hope it helps <3

7 0
3 years ago
X =x=x, equals <br> ^\circ <br> ∘
Setler79 [48]

Answer:

x = 25°

Step-by-step explanation:

Hello!

25° and x° are vertical angles, therefore they are equal to each other.

Vertical angles are angles formed by two intersecting lines that are non-adjacent.

The angle to the right of 80° would be 55°, because the sum of angles on a line is 180°.

Angle x would be 25° because the other straight line contains angles 80°, 50° and x°.

6 0
2 years ago
Which of these describes the system of linear equations below?
Nataly [62]

Given:

The system of equations is

3x-2y=7

6x-4y=14

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., ax+by+c=0, we get

a_1=3,b_1=-2,c_1=-7

a_2=6,b_2=-4,c_2=-14

Here,

\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}

\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}

\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}

Since, \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}, therefore, the two equations are equivalent and the system has infinitely many solutions.

Hence, the correct option is b.

4 0
3 years ago
Will ran 120 minutes in the past two days. He ran 20 more minutes the second day than the first day. how many minutes did he run
valentinak56 [21]
Here is the equation: x+(x+20) = 120

Since you can't combine anything yet, its x+x+20=120

You need to get x by itself

Minus 20 from both sides

Its x+x=100 now

Combine the x's which is now 2x

Now divide 100 by 2 which is 50

x=50
---------------

Lets check:

50+(50+20)=120

Now combine the numbers in the parentheses

Its now 50+70=120

50+70=120 and 70-50=20

As you can see, he ran 50 minutes the first day and 70 minutes the second day 
4 0
3 years ago
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