The angle of elevation from a car to a tower is 32 degree. The tower is 150 ft. tall. How far is the car from the tower? Round to the nearest tenth.

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Answer:

Step-by-step explanation:

Cos ∅ = [tex]\frac{Adjacent side}{Hypotenuse}[/tex]

Cos 48° =[tex]\frac{38}{x}[/tex]

0.67 = [tex]\frac{38}{x}[/tex]

0.67*x = 38

x = [tex]\frac{38}{0.67}[/tex]

x = 56.71

x = 56.7

Answer:

It’s D for heaven sake !

No, because there are values in the interval that are less than 0.13.

Step-by-step explanation:

Answer:

a) 20 feet

Step-by-step explanation:

8ft shadow - 5ft

32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft

Answer:

A

Step-by-step explanation:

Ratio from shadow to object

8:5

Given Shadow of tree = 32ft, (8x4)

Height of Tree = 5x4 = 20ft

A

Answer:

x=±√(-66)

(there is no real solution)

Step-by-step explanation:

Answer:

hngbkx8uff

jrgjgk

Step-by-step explanation:

jgjk

Answer and Step-by-step explanation:

f(n) = 45 - 4(n - 1)

This is the explicit formula for the sequence.

45 is the initial amount, which is why it is by itself.

The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.

#teamtrees #PAW (Plant And Water)

Answer:

m = 15

Step-by-step explanation:

m + 14 = 29

Subtract the 14...

m = 15

I hope this helps :)

Answer:

m = 15

Step-by-step explanation:

Answer and Step-by-step explanation:

The numbers that are irrational are the square root of 27 and the square root of 55. ( [tex]\sqrt{27}, \sqrt{55}[/tex] ).

This is because those numbers don't have a perfect square root.

The square root of 16 and the square root of 64 have perfect square roots (16 having the answer as 4, and 64 having the answer as 8).

#teamtrees #PAW (Plant And Water)

Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

Answer: (-3,0)

Hope this helps :_)

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

the answer is 2,808

Step-by-step explanation:

you have to multiply 78 by 36 because it is area

Answer:

84.823005

Step-by-step explanation:

π6^2=113.09734

(360-90)/360=3/4

3/4* 113.09734=84.823005

Step-by-step explanation:

area of circle=

[tex]\pi \: r ^{2} [/tex]

22/7×6×6=113.14

=3/4of 113.14

=84.55cm²

Answer:

for 12 pop songs 8 hip-hop songs would be played

Answer:

4y

Step-by-step explanation:

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]Arrangements = 5040\ ways[/tex]

Answer:

chess is good oodles like poodles

Answer:

98 followers

Step-by-step explanation:

Because 82(1.045)^4 is equal to 97.7865252512 which is 98 when you round it to the whole number...

GOOD LUCK

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

Answer:

C. x= 3 ; angle measure is 48°

Step-by-step explanation:

the two angles created by the X are the equal, so to make 16 equal to 48 we multiply by 3

hope this helps chu <3

Answer:

see below

Step-by-step explanation:

whenever there is negative number being squared, you need to add the brackets so that you inside the - 1 in front of the number

so this step is wrong

[tex] \sqrt{ - 9 { }^{2} - 4(1)(20) } [/tex]

the -9 ² , you must include the brackets to include the -1 in front of the 9

so it should be

[tex] \sqrt{( - 9) {}^{2} - 4(1)(20) } [/tex]

so you will get = 1

and then you continue with other parts of the formula and you will get real solutions

hope this helps

please mark it brainliest

Answer:

420

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

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The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The value of x is 6.2 units.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of x is,

x = AB - AC

x = 31(Tan 37°) - 31(Tan 29°)

x = 6.17659 ≈ 6.2 units.

Hence, the value of x is 6.2 units.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

#SPJ1

Answer:

15 more students needed

Step-by-step explanation:

If they have 16 signed up and need minimum of 21, then need an equation

1: 21-16=?

2: 21

 - 16

 -------

   15

Answer:

You only got 7, 8, and 9 wrong

Step-by-step explanation:

it said convert to percents not fractions. Number 7 is 35%, number 8 is 80%, and number 9 is 126%

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C=2 [tex]\pi[/tex] r

Step-by-step explanation: