Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Answer 2

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]


Related Questions

what is 10 2/3 in inproper numbers

Answers

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

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Answer:

What kind of graph?

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Answer:

Place Value of 5 in 1325 is 'Thousands'

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Answer:

5

Step-by-step explanation:

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A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
The new container holds ___ fluid ounces.
HELP PLEASE. <3.

Answers

Answer:

52,5

It holds 10.5 more laundry soap

Two ways to look at this. Either way, we convert 25% to a decimal by dividing by 100, = 0.25

One way is to multiply 42 x 0.25 = 10.5. That tells us how many ounces are added. Then add 42 + 10.5 = 52.5 ounces

The other way is to multiply 42 x 1.25 = 52.5
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Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:

A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?

Answers

Answer:

15

Step-by-step explanation:

Answer:

21 ounces.

Step-by-step explanation:

This is percentage increase.

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

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Answers

so Camille is 10 Donny is 6and tommy is 8

Given parameters :

Camille is 7 years older than Donny Donny is 4 years younger than Tommy

To find :

Total ages of the three people

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )

Total ages of three people = Sum of their ages

Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11

Select ALL the statements that are true.

a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.

Answers

Answer:

a b d are true statement ..............

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Answers

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?

Answers

k would be located at

In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree

Answers

Answer:

4

Step-by-step explanation:

Delta math

The measure of K to the nearest degree is 4°.

What is the laws of cosines?

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given ΔJKL,

j = 7.9 inches, k = 2 inches, l = 9.8 inches

to find the measure of angle K,

we can calculate the angle by cosine law,

cosK = (j² + l² - k²)/(2.j.l)

cosK = (7.9² + 9.8²  - 2²)/(2*7.9*9.8)

cosK = 154.45/154.81

K = cos⁻¹(0.99748)

K = 4.067⁰ ≈ 4°

Hence angle K is 4°.

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In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree

Answers

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

solve the system of equations by using substitution
y=2x-2
2x+y=10​

Answers

2x+1(2x-2)=10
2x+2x-2=10
4x-2=10
+2 +2
4x=8
x=2
y=2(2)-2
Y=2

negative 5x plus 4y equals 3 i need x and y please

Answers

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

15x120 helppp what is this and how do u get the answer

Answers

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

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Answers

Step-by-step explanation: amazon they have everything

PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME

Answers

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN

Step-by-step explanation:

Answer: )*39082[938[928

Can someone help me with this I need help

Answers

b.150 inches, the area is calculated by B x H, which is 15 x 10 in this scenario

Answer:

d)550

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5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

The price technology stock dropped to $9.71 today. Yesterday's price was $9.82. Find the percentage decrease.

Answers

The decrease is 0.11%

9.71 - 9.82 x 100%= 0.11

can anyone help me please? ​

Answers

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

To make meatloaf. mix 2 pounds of beef and 0.5 of a cup of breadcrumbs. How many pounds of beef
would you mix with 4.5 cups of breadcrumbs

Answers

Answer:

18 pounds of beef.

Step-by-step explanation:

For every 0.5 cups of breadcrumbs there's 2 pounds of beef.

0.5 x 9 = 4.5

9 x 2 = 18 or 2 x 9 = 18

multiples of two: 2 4 6 8 10 12 14 16 18

This shows that when we multiply 2 nine times we get 18!

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                                 [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{74}[/tex]

You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?​

Answers

You can make 6 bowls of punch.

Find the slope y = 6x-1

Answers

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

6

x

1

Step-by-step explanation:

x-1

Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.​

Answers

Answer:

6x=18

x=18/6

x=3.

-3x=15

x=15/-3

x=-5

7x=-63

x=-63/7

x=-9

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

-4x+1=13

-4x=13-1

-4x=12

x=12/-4

x=-3

-x+9=16

-x=16-9

-x=7

x=7/-1

x=-7

Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?

Answers

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.

A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.

Answers

Answer:

B

Step-by-step explanation:

I Had this

Complete the following statement.

Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .

Answers

Answer:

The Ratio you are looking for is 5:8

Step-by-step explanation:

Answer:

6: azul

20: lila o morado

sorta need answer asap

Answers

The modal class would be:

60 < x < 80

Hope this helps!
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