A wheelchair ramp is 4.2 meters long. it rises up 7.0 meters. what is the angle of elevation to the nearest tenth of a degree?

Answer:

you currently have the value of x × 7, you need to divide it by 7 to find the value of x.

42 ÷ 7 = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hint:  1- 2sin²x = Cos 2x

LHS = 1 - 2Sin² (π/4 - Ф/2)

        =  Cos 2 *(π/4 - Ф/2)

        = Cos 2*π/4 - 2*Ф/2

         = Cos π/2 - Ф

         = Sin Ф =  RHS

Answer:

RHS=sinA

Step-by-step explanation:

LHS=1-2sin^2(45-A/2)

=cos2(45-A/2)

=cos(90-A)

=sinA proved.

Answer:

Step-by-step explanation:

Weight of baby goat = Weight of Jared with goat - Weight of Jared

                                  = 58.9 - 56.2

                                  =  2.7 Kg

Answer:

[tex]3^{\frac{1}{6} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Evaluating the parenthesis, gives

[tex]\frac{3^{\frac{3}{4} } }{3^{\frac{3}{8} } }[/tex] = [tex]3^{\frac{3}{4}-\frac{3}{8} }[/tex] = [tex]3^{\frac{3}{8} }[/tex] , then

[tex](3^{\frac{3}{8})^{\frac{4}{9} } }[/tex] → [tex]\frac{3}{8}[/tex] × [tex]\frac{4}{9}[/tex] = [tex]\frac{1}{6}[/tex]

= [tex]3^{\frac{1}{6} }[/tex] with x = [tex]\frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

B

Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

Answer:

3/4

Step-by-step explanation:

Find the number that can be divided into both numbers.

12÷4 =3 16÷4=3

Answer:

1440 people

Step-by-step explanation:

If we have 45 people per square kilometer, and we have 32 square kilometers, we can imagine it as a little “table.”

There are 32 boxes, and inside each of those 32 boxes, there are 45 little dots.

This is multiplication, so we can just multiply 32 and 45.

[tex]32\cdot45=1440[/tex]

Hope this helped!

-3x-3 is the answer because you need to multiple-3 into x and one

Answer:

(5.23x + 3.76) − (3.67x − 6.39) is ( . )

Step-by-step explanation:

Yes

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

[tex]ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }[/tex]

Thank you

Answer:

d=4

Step-by-step explanation:

We are given the equation:

4d-4=5d-8

and asked to solve for d. In order to solve for d, we must isolate it on one side of the equation.

First, subtract 4d from both sides of the equation.

(4d-4d)-4=(5d-4d)-8

-4= (5d-4d)-8

-4= d-8

Next, add 8 to both sides of the equation.

(-4+8)=d-8+8

(-4+8)= d

4=d

Let's check our solution. Plug 4 in for d and solve.

4d-4=5d-8 (d=4)

4(4)-4=5(4)-8

Multiply 4 and 4.

16-4=5(4)-8

Subtract 4 from 16.

12= 5(4)-8

Multiply 5 and 4.

12= 20-8

Subtract 8 from 20.

12=12

The statement above is true, so we know our solution is correct.

The solution to the equation is d=4.

Answer:

It is 4

Step-by-step explanation:

KHAN

Answer:

Convert fraction (ratio) 7 / 10 Answer: 70%

Answer:

70%

Step-by-step explanation:

To find percentage = fraction * 100

                                = 7/10 * 100

                                = 0.7 * 100

                                = 70%

Answer:

-1/21

Step-by-step explanation:

2/7 - 1/3

The common denominator is 21

2/7 * 3/3 - 1/3 *7/7

6/21 - 7/21

-1/21

Answer:

(x+1)(x+1)^2

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{(x+1)^3}[/tex]

Step-by-step explanation:

x³ + 3x² + 3x + 1

Apply cube of sum rule :

      ⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³

(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³

 ⇒ a = x

 ⇒ b = 1

(x + 1)³

Answer: $14.25

Step-by-step explanation:

Plug in 20 for x.

(0.05)(20) + 13.25 = 14.25

Answer:  $14.25

Step-by-step explanation:

just input 20 miles into the equation and solve for the rental cost

c(x) = 0.05x + 13.25  

c(20) = 0.05(20) + 13.25

c(20)=  1 + 13.25

c(20) = 14.25

Answer:

C = 100x

Step-by-step explanation:

We can create an equation where x represents the number of days.

C = 100x

This represents the situation, since 100 cars are made every day.

For example, in 2 days, 200 cars will be made since 100(2) = 200.

Answer:

AD=23 because it is the same length as the top line. 12+4 is 16 and 23-16=7. X=7

Step-by-step explanation:

Answer:

Hey there!

The numbers in this set are: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

We see that there are 13 numbers in this set.

Let me know if this helps :)

Hello!

Answer:

13 sets

Step-by-step explanation:

So you just have to count the numbers! :)

{3,4,5,6,7,8,9,10,11,12,13,14,15}

If you count the numbers, you will see there are 13 numbers.

**THE WHOLE NUMBERS BETWEEN 3 & 15 IS: 3,4,5,6,7,8,9,10,11,12,13,14,15!**

Therefore, there is 13 sets because if you count the numbers “3,4,5,6,7,8,9,10,11,12,13,14,15” you can see that there will be 13 numbers.

So the answer has to be 13 sets!

Hope this helps!

~Have a wonderful day!~

By,Cherry

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

Step-by-step explanation:

First one..

move the green dot one step to the left

Interactive table

U is under the operation a-b

where a = -1 and b = -2

U = -1 - (-2)

U = -1 + 2

U = 1

V is under the operation a-b

where a = -4 and b = 1

V = -4 -1

V = -5

Answer:

9                              I THINK

Step-by-step explanation:

77 minus 14 equals 63 and 63 divided by 7 equals 9

Answer:

  C.  5

Step-by-step explanation:

The product of distances to the near and far intercepts with the circle are the same for each line segment. In the case of the tangent, those distances are the same, so you have ...

  6×6 = 4×(4+x)

  36 = 16 +4x . . . . eliminate parentheses

  9 = 4 + x . . . . . . .divide by 4; next, subtract 4

  5 = x

Answer:

Step-by-step explanation:

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a * 10ⁿ

where:

Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10

Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.

Answer:

The given question is incomplete.

The set of numbers should be : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],

Step-by-step explanation:

a). Natural numbers : Natural numbers starts form 1  up to positive infinity. They are non negative integers.

The numbers are : [tex]$\sqrt{64}$[/tex]

b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.

The numbers are : 0, [tex]$\sqrt{64}$[/tex]

c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.

The numbers are : -11, 0, [tex]$\sqrt{64}$[/tex]

d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.

The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt{64}$[/tex]

e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers

The numbers are : [tex]$\sqrt5, \pi$[/tex]

f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.

The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],

Answer:

see below

Step-by-step explanation:

8x and 56 are not like terms

x is a variable and 56 is a constant

8x can be added to 56 but they cannot be combined together into one term

8x+56 cannot be combined because they are not like terms

Answer:

a) 10

b) 9.8

Step-by-step explanation:

First, round it the nearest whole number:

9.7814 will round up to 10, since the decimal place .7 is larger than .5

Next, round to one decimal place:

9.7814 will round to 9.8, since the 0.08 will round the 0.7 up to 0.8

a) 10

b) 9.8

Answer:

[tex]\Large \boxed{2. \ x=\pm \sqrt{k}}[/tex]

Step-by-step explanation:

[tex]x^2 =k[/tex]

k is a real number.

We take the square root of both sides of the equation.

[tex]\sqrt{x^2 } =\pm \sqrt{k}[/tex]

Simplifying the equation.

[tex]x=\pm \sqrt{k}[/tex]

Answer:

x = ±√k

Step-by-step explanation:

If:

[tex]x^2 = k[/tex]

We'll take square root on both sides

=> [tex]\sqrt{x^2} = +/- \sqrt{k}[/tex]

=> x = ±√k

Answer:

D) 216cm²

Step-by-step explanation:

Triangles: a=1/bh

a=1/2(6)(8)

a=24 (2 of them)

Base: 6x7=42

Back: 8x7=56

Front Rectangle: 7x10=70

24+24+42+56+70=216cm²