A ramp was built by a loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32-degree angle with the ground. (Round to the nearest tenth). The shape is a triangle. I got my answer as 7.5 by rounding and is it correct?

Answer:

-40

Step-by-step explanation:

(2(5) - 2) (-2(3) + 1)

(10 - 2) (-6 + 1)

8(-5)

-40

Answer:

76

Step-by-step explanation:

Let x = number of pages

Since Charmaine had 16 pages left, subtract 16 from x to indicate that is the number of pages read like this: x - 16

Divide that by 3 like this: (x - 16)/3

Do the same for Bernice: (x - 36)/2

Make them equal to each other

(x - 16)/3 = (x - 36)/2

Cross multiply

2(x - 16) = 3(x - 36)

Distribute

2x - 32 = 3x - 108

Move like terms to the same side by subtracting 2x from both sides

2x - 32 = 3x - 108

- 2x         - 2x

-32 = x - 108

Add 108 to both sides

-32 = x - 108

+ 108    + 108

x = 76

This means there are 76 pages in the book.

Answer:

solution,

5x-6y+z+5x-6y-z

(+z and -z will be cancelled)

now,

5x+5x-6y-6y

10x+ 12y( because 2 minus makes plus)

Answer:

Step-by-step explanation:

When it comes to mathematical concepts, those tiny numeral superscripts called exponents can intimidate even the most earnest student. One thing that helps stop the anxiety is understanding the importance of exponents in everyday math applications.

5 real-life uses:

Answer:

1/16″: There are 16 sixteenth inches in one inch. This is the smallest line you'll find on the ruler. Two sixteenth markings equal one eighth.

Step-by-step explanation:

Answer:

1/16″: There are 16 sixteenth inches in one inch. This is the smallest line you'll find on the ruler. Two sixteenth markings equal one eighth.

Step-by-step explanation:

Answer:D.51

Step-by-step explanation:180-68-61=51

Answer:

68+61+X=180°

129+X=180°

X=180°-129

X=51°

Answer:

x<30

Step-by-step explanation:

-2x-4> -64

add 4 to both sides

-2x-4+4> -64+4

simplify the arithmetic

-2x> -64+4

-2x>-60

divide both side by -2

When dividing or multiplying by a negative number, always flip the inequality sign

-2x/-2 <-60/-2

Cancel out the negatives:

2x/2<-60/-2

Simplify the fraction:

x<-60/-2

Cancel out the negatives:

x<60/2

Find the greatest common factor of the numerator and denominator:

x<30 . 2 / 1 . 2

Factor out and cancel the greatest common factor:

x<30

Answer: x<30

explanation: Hope this helps :)

Answer:

The perimeter is 32

Step-by-step explanation:

Area of square= a²

square root of 64= 8

Perimeter= 4x the square root

8x4=32

Answer:

20%

Step-by-step explanation:

You find percentage through division, but this one is easier than most since percentages are always out of 100, so 200/2 and 40/2 means 40 is 20% of 200.

Answer:

magnitude of PÔS = 60°

magnitude of SÔQ = 120°

note: a straight line has always 180°

solve for x:

m∠POS

m∠SOQ

So to find angle POS and SOQ we have to find value of x first.

[tex] \\ [/tex]

[tex] \rm \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]

Reason:-

Sum of angles on same line.

By the way it can be any number of angles but they should meet at same point. And their sum is always 180°. Remember linear pair? It is also same aspect but there will be only two angles.

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x= 180 - 80 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x= 100 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{100}{5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{5 \times 20}{5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{\cancel5 \times 20}{\cancel5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{1 \times 20}{1} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf x=20\degree \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]

Put value of x

[tex] \\ [/tex]

[tex] \dashrightarrow \sf( 3 \times 20) + (2 \times 20)+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf60 + (2 \times 20)+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf60 + 40+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf100+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf180= 180 \degree \\ [/tex]

LHS = RHS

HENCE VERIFIED!

[tex] \\ [/tex]

the volume of the cone.​

1/3 pi r^2h

Answer:

134.04

Step-by-step explanation:

Formula for Volume of a Cone = TT r^2 h/3

= 3.142 × 4^2 × 8/3

Step-by-step explanation:

[tex] \frac{68}{23} [/tex]

[tex] = 2.956521739130434[/tex]

[tex] = 2.956521739130434 \times 100[/tex]

= 295.6521739130434%

=296%

Answer:

296%

Explanation:

→ 68/23

to turn it unto fraction, multiply it by 100

→ 68/23 * 100

simplify

→ 6800/23

divide the number

→ 295.65

final answer in percentage

→ 296%

Answer:

Michelle bought a pack of crayon for $3.25

Step-by-step explanation:

Number of packs = 5

The cost of a pack of crayons =

(Cost of 5 packs of crayon) / (number of packs of crayons)

The cost of a pack of crayons = ($16.25 ) /  5

The cost of a pack of crayons = $3.25

Answer:

26

Step-by-step explanation:

you square both 10 and 24

you then will get 100 and 576

you then will add them together

and get 676

since 676 is not a whole number

you then will dive the number by 4

to get the numbers

13 and 4

13 [tex]\sqrt{4} \\[/tex]

13*2 because the square root of 4 is 2

13*2 =26

Answer:

$8.99

Step-by-step explanation:

$38.95- $11.98 = $26.97
$26.97 / 3 pizzas = $8.99

The equation that can be used to represent the ages of Sarah and his brother will be 2x - 12 = 16.

From the question given, Sarah's brother is 12 less than twice her age and Sarah is 16.

Let Sarah's age be represented by x.

Therefore, the equation to represent the situation will be:

= (2 × x) - 12 = 16

2x - 12 = 16

2x = 16 + 12.

2x = 28

x = 28/2 = 14

Sarah is 14 years.

Learn more about equations on:

https://brainly.com/question/13763238

The slope of a line that is perpendicular to y = x - 6 means that the slope has to be a negative reciprocal of the original slope

That means the slope of the line that is perpendicular to y = x - 6 is '-1'

Hope that helps!

Answer:

The Pythagorean theorem just talks about the connection  between the lengths of the sides of right triangles. Something like that i guess

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} = \frac{6}{15} = \frac{12}{45} [/tex]

Answer:

A

Step-by-step explanation:

correct me if I'm wrong

Answer: v = -13

Step-by-step explanation:

Multiply both sides of the equation by (v+12). On the right side, the (v+12) terms will cancel leaving only (v+4). On the left, we will have 9(v+12). Therefore:

[tex]9(v+12)=v+4[/tex]

Distribute the 9 into the parenthesis to get:

[tex]9v+108=v+4[/tex]

Subtract 'v' on both sides to get:

[tex]8v+108=4[/tex]

Subtract 108 from both sides to get:

[tex]8v=-104[/tex]

Divide both sides by 8 to get:

[tex]v=-13[/tex]

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

Answer:

84

Step-by-step explanation:

[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]

Answer:

C. 10x=16

Step-by-step explanation:

3(2x-1)+4x=13

Distribute the 3 by multiplying it by 2x and -1.

6x-3+4x=13

Add same properties. 6x and 4x     6x+4x=10x

10x-3=13      

Add 3 to both side get rid of the negative 3     -3+3=0    13+3=16

10x=16

Answer:

C

Step-by-step explanation:

10x=16

Answer:

Reflection and then translation

Step-by-step explanation:

It is a reflection because it flips across and then a translation because it moves down. I hope this helps you.

Answer:

Reflection then translation.

Hope this helps!

Answer:

x-15[tex]\leq[/tex]-6  1. +15 on both sides

x  [tex]\leq[/tex]9

Answer:

40 x 28 x 36 = 40,320. Hope this helped

Answer:

Amelia has more she has 1/2 and Alex has 1/3

Answer:

Answer is x = -7/6

Step-by-step explanation:

please look at the image