find the value of each variable, please explain.

Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.

Hope this helps :)

Answer:

let ratio 6:4:2 be 6x,4x and 2x

we have

6x+4x+2x=180 sum of interior angle of the triangle is 180

12x=180

x=180/12=15

Step-by-step explanation:

missing Angle are

6x=6×15=90°

4x=4×15=60°

2x=2×15=39°

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

The Volume of pyramid is 19.5 [tex]m^{3}[/tex].

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apx. Each base edge and apx form a triangle, called a lateral face.

The volume of a pyramid refers to the space enclosed between its faces.

Volume of pyramid = (1/3) (Base area * height of pyramid )

According to the question

Area of the base = 6.8 [tex]m^{2}[/tex]

Height of the pyramid = 8.6 m

now,

using the formula of Volume of pyramid

Volume of pyramid = (1/3) (Base area * height of pyramid )

substituting the values

Volume of pyramid = (1/3) ( 6.8 * 8.6 )

                                 = 19.49 [tex]m^{3}[/tex]

Rounding off to  nearest tenth of a cubic meter

Volume of pyramid = 19.5 [tex]m^{3}[/tex]

Hence, the Volume of pyramid is 19.5 [tex]m^{3}[/tex]

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Answer:

y=30x

Step-by-step explanation:

y=money/hours

y=30/1

y=30

Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Skills needed: One-Variable Equations, Solving Equations

1) The first thing is to use P.E.M.D.A.S

There are no Parentheses, or Exponents, so we go to multiplication

The quantity we multiply is: [tex]5(2x-8)[/tex]

Using distributive property (which is [tex]a(b+c) = ab+ac[/tex]), you get:

[tex]5(2x-8) = 5(2x) - 5(8) = 10x - 40[/tex]

2) Now, we substitute back in and combine like terms:

[tex]10x-40+15=-15[/tex]

Combine the -40 and 15 ([tex]-40+15=-25[/tex])

Then, you will get: ([tex]10x-25=-15[/tex])

3) Add 25 to both sides, to isolate the variable:

[tex]10x = -15+25[/tex], and then -15+25 is 10, so

[tex]10x = 10[/tex]

4) Divide by 10 on both sides, and get [tex]x = 1[/tex]

Hope this helps and have a nice day!! :) :]

Answer:

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

x^2 = 30^2 + 16^2 = 1156

x = 34

Answer:

Percent increase is 21%

Step-by-step explanation:

Initial cost of shoes = $72

New price of shoes = $87

Increase in price of shoes = New price of shoes - Initial cost of shoes

= [tex]87-72[/tex]

= $15

Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100

= [tex]\frac{15}{72}(100)=20.8\%[/tex]

≈ 21%

So, percent increase is 21%

Answer:

3/10 and 355/1000

Step-by-step explanation:

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

Answer:

The answer is C.

Step-by-step explanation:

Answer:

ovulation fertilization cell division implantation conception delivery

Answer:

im 95% sure the answer is 6

Step-by-step explanation:

when i wrote it down it just never came out to one of thoes answers, but 6 was the closest

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2  y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

Answer: 1/2 + 1/5 = 1/7 I don't know how to show you the rectangle but I hope this helps

After solving the equation the value obtained from this will be equal to 7/10.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is vital for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information in the question,

1/2 + 1/5

Take the LCM of denumerator and then add accordingly,

= 7/10

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Answer:

4Pi

Step-by-step explanation:

circumference = 2(16)(π) = 32π

45°/360°(32π) = 4π or 4 Pi

Answer:

Step-by-step explanation:

Given

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

We have two possible solutions:

Proof:

Answer:

x=−3

Step-by-step explanation:

How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.

#3

Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.

cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]

#4

Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.

csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]

The pythagorean identities are

sin^2 + cos^2 = 1,

1 + cot^2 = csc^2,

tan^2 + 1 = sec^2.

#5

Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.

sin^2 + (-3/4)^2 = 1

sin^2 + 9/16 = 1

sin^2 = 7/16

sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]

Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.

tan^2 + 1 = (-4/3)^2

tan^2 + 1 = 16/9

tan^2 = 7/9

tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]

#6

Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.

1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]

1 + cot^2 = 6/4

cot^2 = 2/4

cot = [tex]\frac{\sqrt{2}}{2}[/tex]

tan = [tex]\sqrt{2}[/tex]

Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.

[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2

4/2 + 1 = sec^2

2 + 1 = sec^2

sec^2 = 3

sec = -[tex]\sqrt{3}[/tex]

cos = [tex]\frac{-\sqrt{3}}{3}[/tex]

Hope this helps!! :)

Answer:

sin(θ)=√7/4

tan(θ)= - √7/3

Step-by-step explanation:

c^2= √(4^2-(-3^2))

c^2= √(16-9)

c^2= √7

sin(θ)= opp/hyp=√7/4

tan(θ)= (opp )/adj= - √7/3

Answer:

S + 43.5<=55

11.5mph

Step-by-step explanation:

S = S=SPEED

A. S + 43.5 <= 55

B. S + 43.5 <= 55

    43.5-43.5= S<= 55

     55-43.5= 11.5

= S + 43.5<=55

Speed of 11.5mph

I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that

Answer:

Should be 1.64

Step-by-step explanation:

Answer:

7 feets

Step-by-step explanation:

Volume of shed, V = 357 feet³

Height of shed, H= 8 1/2 fts

Width of shed, W = 6 ft

Using the relation :

Volume = Length * width * height

357 = L * 6 ft * 17/2 feets

357 feets³ = L * 51 feets²

L = 357 feets³ / 51 feets²

Length, L = 7 feets

Answer:

It is A

From the x-value of 3 to the x-value of 8, the y-value goes down from 3 to -6

Uh...I have no clue. Sorry. :(

Answer:

4.90m

Step-by-step explanation:

A sector of a circle of diameter 11 cm is formed from an angle of size 51. Find the length of the arc rounded to two decimal places

Length of an arc = 2πr(θ/360)

(θ) = 51°

r = Diameter/2 = 11/2

= 5.5

Length of an arc = 2 × π × 5.5(51/360)

= 4.89565m

Approximately = 4.90m

Complete question :

A swimming pool is the shape of a right rectangular prism. If the pool is 12 3/4 yards long, 5 2/3 yards wide, and 9 yards deep, what is the volume of the swimming pool

Answer:

650 1/4 yd³

Step-by-step explanation:

Volume of a rectangle prism :

V = Length * width * height

V = 12 3/4 * 5 2/3 * 9

V = 51/4 * 17/3 * 9/1

V = (51*17*9) / (4*3*1)

V = 7803 / 12

V = 650 3/12

Volume of swimming pool = 650 1/4 yd³

Answer:

28 percent

Step-by-step explanation:

Hope this helps!

5000 is the old value and 6400 is the new value. In this case we have a positive change (increase) of 28 percent because the new value is greater than the old value.

Answer:

22

Step-by-step explanation:

10/2 $5 per pack

110/5= 22 packs