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If the ramps angle of inclination is 10 degrees. The length of the ramp to the nearest tenth of an inch is: 23 inches.

Using this formula

Sin10°=4/R

Where:

R=Length of the ramp=?

Let plug in the formula

R=4/Sin10°

R=4/0.173648

R=23.04

R=23 inches (Approximately)

Inconclusion the length of the ramp to the nearest tenth of an inch is: 23 inches.

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Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

Subtract 1/6 from 6/7

First rewrite the fractions to have a common denominator:

6/7 = 36/42

1/6= 7/42

Now you have 36/42 - 7/42 = 29/42

The pool is 29/42 full

Answer:

Answer: The remainder is 64.

Answer:

[tex]f(x) = {x}^{2} + 14x - 8 \\ factor \: = \: (x - 4) \\ x = 4 \\ f(4) = {4}^{2} + 14(4) - 8 \\ = 64 \\ remainder \: = \: 64[/tex]

Answer:

Radius = 10 cm

Circumference = 20*pi cm

Step-by-step explanation:

Area of a circle = pi * r^2

100 = r^2

10 = r

Circumference = 2*pi*r

2*pi*10

20*pi

Answer:12/87

Step-by-step explanation: You first have to add up all of the birds present. Then you have to see how many of the type you are looking for is there. The number of the type of bird goes on top of the number of total birds.

Answer:

y=11/4x-13/4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer: ∠E=55°

Step-by-step explanation:

Concept

- In all similar triangles, their corresponding angle will be the same value

- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°

Given

- Two pairs of corresponding angles

- Two similar triangles

Solve

(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up

6x-15=5x-1 ⇔ Subtract 4x on both sides

x-15=-1 ⇔ Substract 5x on both sides

x=14 ⇔ Add 15 on both sides

 180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180

=180-4(14)-([5(14)-1]

=180-56-69

=55°

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

Answer:

This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.

Step-by-step explanation:

Answer:

b po ang tamang sagot

Step-by-step explanation:

i hope its help

Answer:

X > 2

Step-by-step explanation:

Value of x is greater than 2 and the circle is not filled. So.  x > 2

Answer: volume of the cube is (7 cm)^3= 343 cm^3

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

Answer:$1.08 cents.

Step-by-step explanation:

$6 - $4.52 = $1.08.

The answer is going to be 35 :)

Answer:

x = 135

Step-by-step explanation:

x = 9x15

= 135

x = 135

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

answer BD is 108

Step-by-step explanation:

60^2+x^2=85^2

3600+x^2=7225

×^2=7225-3600

×^2=3625

Sq root both sides

x= 60

60+48=108

BD=108

The approximate solutions of the equations are

A, x = 1 and x = 4.2

To find the solution of a system of equations using a graph, you can Identify the point of intersection

Look for the point(s) where the graphs of the equations intersect. This point represents the solution(s) to the system of equations.

then read the coordinates of the point

From the graph, the x coordinates that gives the point of intersection can be traced to be x = 1 and x = 4.2

Learn more about graphical solutions at

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Answer:

c

Step-by-step explanation:

Answer:

the answer is if we don't act the beauty of nature may disappear

Step-by-step explanation:

This is so because nature is fragile and needs to be taken care of properly thus this poem portrays various ways we are endangering nature and it's beautiful aesthetic features

Answer:

Next numbers: 1/4, 1/8

The pattern is that you're halving the numbers

Answer:

b.9

Step-by-step explanation:

th would only make sence the pattern is the multiples of 9 backwards.

(9x5) (9x4) (9x3) (9x2) (9x1)

  45   36     27     18       9

Answer:

x = 8 tablets are needed to disinfect 4 quarts

Step-by-step explanation:

Write and solve an equation of ratios:

 1       2 tablets

----- = ---------------

  4             x

Cross-multiplying, we get x = 8 tablets are needed to disinfect 4 quarts

Answer:

8 tablets

Step-by-step explanation:

Answer:

1.) 2

2.) -5

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Given: A plane is traveling at a constant rate described by d = 525t

where d is the distance and t is the time

We know that ratio  of distance upon time  = d/t = 525 miles per hour

Therefore, time taken to travel 3150 miles  = 3150/525 = 6 hours

Answer:

$107.60

Step-by-step explanation:

100 [1 + (0.076 * 1)] = 107.6

= $107.60

Answer:

p = 5

Step-by-step explanation:

think of it like this:

2 + p = 7

They just want you to find what number can replace the letter so the equation makes sense.