4x + 6°
6x - 100
7x + 14°

Step-by-step explanation:

///////hope it helps:)

The trigonometric function gives the ratio of different sides of a right-angle triangle. The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse.

The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

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

The hypotenuse is the longest side of the triangle.

The angle of elevation is equal to,

The angle of elevation = Sin⁻¹ (4.5/11.75)

                                      = 22.5183° ≈ 23°

Hence, the angle of elevation formed by the ramp by the ground to the nearest degree is 23°.

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Answer:

Step-by-step explanation:

To find the expected no of broken cabinets for each strategy.

If A transport all the furniture

Suppose X₁ = number of furniture A broken

X₁ follows a binomial with n = 3, p = 0.10

E(X₁) = np

E(X₁) = 3 × 0.1

E(X₁) = 0.3

If A transport two (2) cabinets & B transport one (1) cabinet

expected no. of the broken cabinet by A out of 2 is

= 2 × 0.1

= 0.2

Suppose X₂ denotes the no of broken furniture by B

E(X₂) = np

where n= 1 and p = 0.15

E(X₂) = np

E(X₂) = 1 × 0.15

E(X₂) = 0.15

Thus. the expected number of broken cabinets = 0.2 + 0.15 = 0.35

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

Answer:

part a is 3500

Step-by-step explanation:

Answer:

Step-by-step explanation:

35percent was yonger

Answer:

22

Step-by-step explanation:

Answer & Step-by-step explanation:

Divide how much he wants to earn by how much he earns per hour:

132/6.25 = 21.12

He needs to work 21.12 hours to earn $132.

Answer:

The answer is 108

Step-by-step explanation:

I did this for my exam got 100

Together they can paint 5/108 of a wall in 1 minute.  So they can paint the entire wall in 108 minutes.

We have given that,

John can paint 1/54 of a wall in 1 minute.

James can paint 1/36 of a wall in 1 minute.

Total wall paint  of both in one minute is calculated by adding the both the paint in one minute it gives us the total paint in one minute

Therefore ,total wall paint in one minute =1/54 + 1/36

So if they work together, they can both paint 1/54 + 1/36 of a wall in 1 minute.

1/54 + 1/36 = 2/108 + 3/108 = 5/108 = 0.04629.

Therefore,together they can paint 5/108 of a wall in 1 minute.  So they can paint the entire wall in 108 minutes.

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Answer:

The sign depends on the sign of the larger number.

Answer:(-4,6)

Step-by-step explanation:

you go down four then over six and you find the letter F

Answer:

(6, -4)

Step-by-step explanation:

x axis is before the y axis

Answer and Step-by-step explanation:

22ft = x (c)

20ft = y (b)

18ft = z (a)

Plug into equation.

[tex]22^{2} = 20^{2} + 18^{2} - 2(20)(18)cosC (X)\\\\484 = 724 - 720cosC\\\\-240 = -720cosC\\\\\frac{1}{3} = cosC\\\\cosx^{1} (\frac{1}{3} ) = C\\\\C = 70.5288\\\\[/tex]

C ≈ 70.5 is the answer.

Answer:

[tex]f(a) = 5a + 1[/tex]

[tex]f(a + h) = 5a + 5h +1[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x + 1[/tex]

Solving (a): f(a)

Substitute a for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a) = 5a + 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a + h) = 5(a + h) +1[/tex]

Open bracket

[tex]f(a + h) = 5a + 5h +1[/tex]

Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]

In (a):

[tex]f(a) = 5a + 1[/tex]

In (b):

[tex]f(a + h) = 5a + 5h +1[/tex]

So:

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]

Open bracket

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]

Collect Like Terms

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

your answer is k=10 the step by step is kn the picture

Answer:

28.26

Step-by-step explanation:

A = r^2

So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)

A = 3.14(3)^2

A = 3.14(9)

A = 28.26

Answer:

1. x = - 1 -y over 2

2. x = -4(2+y) over 3

Step-by-step explanation:

Answer:

1. x = - 1 -y over 2

2. x = -4(2+y) over 3

:)

Answer:

18ft

Step-by-step explanation:

:p

The height of the tree is 14 feet.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Height of Man= 6 feet

Shadow height= 5 feet

and, Height of tree shadow= 15 feet

So, using Proportion

FE/ BC = FA/ AC

6 / x = 5 / 15

5x= 90

x= 14 feet

Hence, the tree is 14 feet tall.

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Answer:

Pickles. My friends are allergic to cheese.

Answer:

2 1/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.

Receiver: Kenwood, Sony, Sherwood

Compact disc player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Turntable: Onkyo, Sony, Teac, Technics

A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:

A. In how many ways can one component of each type beselected?

B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

Answer:

Step-by-step explanation:

x - 2y =8

   -2y = -x + 8

      [tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]

When x = 4,

     [tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]

(4, - 2)

When x = -4,

    [tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]

(-4, -6)

Plot the points (4, -2) and (-4 , -6) in the graph and Join the points

Answer:

x-12=18

Step-by-step explanation:

Answer: if X = 30, then the equation is 30 - 12 = 18

Answer:

$9.60

Step-by-step explanation:

3.20x3=9.60

Answer: 4 kilograms of bananas for $7.48

Step-by-step explanation:

Unit price for 1 kilo= $2.06

2.06 x 4 = 8.24

Unit price for 4 kilo= $1.87

2.06 > 1.87

So, 4 kilograms of bananas is the better buy.

Simple form:

Answer 1: 2.06

Answer 2: 1.87

Answer 3: greater than

Answer 4: 4 kilograms of bananas for $7.48

Answer:

the first one is 5 times 5 times 5

the second is 7 times 7

the third is 2 times 2 times 2

Step-by-step explanation:

Answer:

r = 80 KM/HR

w= 30 CM/HR

Step-by-step explanation: