Which integer is the same distance from -14 as it is from 36 on the number line?

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The third side of the triangle 'a' is calculated by Pythagoras' theorem. Then we have

c² = a² + b²

20² = a² + 16²

400 = a² + 256

a² = 400 - 256

a² = 144

a = 12

Then the value of the angle θ is calculated as,

sin θ = 12 / 20

sin θ = 3 / 5

sin θ = sin 37°

θ = 37°

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

More about the right-angle triangle link is given below.

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Answer:

Step-by-step explanation:

area of 1 square=1 yd²

area of 10 squares=?

Answer:

The approximate weight of 1 student back pack is 7.38 pounds.

Step-by-step explanation:

We have to find the unit rate of one back back. All we need to do is divide the 5 backpacks by the number of pounds, so:

36.90 ÷ 5 = 7.38

Answer: The approximate weight of one back pack is 7.38.

Step-by-step explanation: Divide the combined weight by 5. Hope this helps.

Answer:

64°

Step-by-step explanation:

So supplement angles are equal to 180, so first our two angles added together will be 180:

x + x = 180

Now one of these angles is 6 greater than half:

x + (x/2 + 6) = 180

Then we will solve for x:

x + (x/2 + 6) = 180

x + x/2 + 6 = 180

x + x/2 = 174

[tex]\frac{3}{2}[/tex]x = 174

x = 116

Plug it back in:

x + (x/2 + 6) = 180

         /\

     x/2 + 6

   (116)/2 + 6

        64

To check:

116 + 64 = 180 ✓

Answer:

the one you already have marked (a)

A is correct

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

Since the TV is worth $100 initially but has a 70% markup, it means they increased the price by the percent markup

100 x .70 = 70

100 + 70 = $170

The new cost of the TV sold at this store is equal to $170.

Given the following data:

To determine the new cost of the TV sold at this store:

We would calculate the markup price by multiplying the cost price by the markup.

[tex]Markup\;price = \frac{70}{100} \times 100\\\\Markup\;price = 0.7\times 100[/tex]

Markup price = $70

Now, we can find the new cost of the TV:

[tex]New\;cost = Markup\;price + Cost\;price\\\\Total\;cost = 70 + 100[/tex]

Total cost = $170.

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Answer:

T=1.75n+3

Step-by-step explanation:

all i did was combine the terms together. T is the total it costs for the initial rental charge (3) plus the number of hours times 1.75

Answer:

−−3

Step-by-step explanation:

Combine like terms

−2f−3+f

−−3

Answer:

2.8

Step-by-step explanation:

Answer:

$9.38

Step-by-step explanation:

I think you want the interest right?

so then 75 * 0.125 * 1 = 9.375

rounding it gives 9.38

Answer:What is the simplified form of each expression? A 9−2. 9-2 = 1. 92 ... Problem 4. Problem 3 continued. Problem 2. B. 1 x. −5. 1 x -5 = 1 , x-5.

Step-by-step explanation:

Answer:

175 to 1

Step-by-step explanation:

Answer:

x>0 (0,~)

Step-by-step explanation:

3(x-2)-(1-x)>2x-7

3x - 6 - 1 +x > 2x -7

4x -7 > 2x -7

4x - 2x > -7 +7

2x > 0

x>0

If you don't understand why you can ask me back

Answer:

He could have 7 or more cards.

Answer:

5850

Step-by-step explanation:

is the question complete? if so this is the answer pls check if the question has more details

Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

  0.25 < x < 2

Step-by-step explanation:

The quadratic can be factored as ...

  4x^2 -9x +2 < 0

  (4x -1)(x -2) < 0

The factors are zero for x = 1/4 and x = 2. The product of the factors will be negative, satisfying the inequality, for values of x that make one factor positive and the other one negative. Those values of x are between x=1/4 and x=2.

The solution is 1/4 < x < 2.

The graph on the number line has open circles at x=1/4 and x=2, and is shaded between those values.

_____

Additional comment

The circles on the graph are open because those x-values are not part of the solution set.

Answer:

look at the photo........................

Answer:

$3.54

Step-by-step explanation:

$3.79-25% (because you add the 15% + 10%)

which is $3.54

Answer:

$2.90

Step-by-step explanation:

start with original price

$3.79

marked down 15%

3.79 × .15 = .5685 or .57

3.79 - .57 = 3.22 price on shelf

minus 10% coupon

3.22 × .1 = .322 or .32

$3.22 - .32 = $2.90

Answer:

$79.05

Step-by-step explanation:

Simply convert 7% into a decimal which os 0.07.  Multiply 0.07 by 85 and subtract it since it's a tax, which means it's deducted. Which will give you $79.05.

Answer:

6

Step-by-step explanation:

la respuesta es una imagen de arriba

mi explicación también está en la imagen de arriba

llama mi atención si no entiendes

Answer:

Rhombus and Trapezoid are well-defined mathematical objects while diamond shape is a layman's term. Each shape has four sides, and diamond shape refers to a rhombus. Rhombus has equal sides, with opposing sides parallel to each other.

Step-by-step explanation:

so basicaly i think a diamond is a rhombus but a rhombus is not a diamond.

Answer:

[tex] {27.5}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} bh [/tex]

to make the method easy we can divide the fingure into 2 parts

first part

[tex] \frac{1}{2} \times b \times h \\ \\ \frac{1}{2} \times 8 \times 5[/tex]

(because 3+2=5)

[tex] \frac{1}{2} \times 8 \times 5 = {20}^{2} [/tex]

second part

[tex] \frac{1}{2} \times 5 \times 3 = {7.5}^{2} [/tex]

add the 2 areas

[tex] {20}^{2} + {7.5}^{2} = {27.5}^{2} [/tex]

Answer:

It means that when Sara save money for 5 weeks, she will get a total amount of 115 money.

Answer:

it is -3/2

Step-by-step explanation:

use rise/run or y/x to find slope. Start with the lower x value, so the run (movement on the x axis) is 2 so plug that in, rise/2. Fine the rise whish is -3, plug that in and you get -3/2

From the graph of function,

a. Domain = (-∞, ∞)

b. Range = [-2, -∞)

c. x-intercept = NA

d. y-intercept = (0, -4)

e. f(1) = -3 and f(4) = -4

"It is a set of points which for which the function is well defined."

"It is the set of all possible output values."

"It is a point at which the graph of the function intersects the x-axis or y-axis."

For given example,

From the graph of a function we can observe that, function takes all values of x

So, domain = (-∞, ∞)

The value of the function starts from -2 and it tends towards -∞.

So, Range of f(x) = [-2, -∞)

From the graph of a function we can observe that the graph of a function does not intersect the x-axis.

So, for given function has no x-intercept.

The graph of the function intersects y-axis at (0, -4).

So, y-intercept = (0,-4)

We need to find the value of f(1) and f(4)

From the graph,

for x = 1,

⇒ f(1) = -3

for x = 4,

⇒ f(4) = -4

Therefore, from the graph of function,

a. Domain = (-∞, ∞)

b. Range = [-2, -∞)

c. x-intercept = NA

d. y-intercept = (0, -4)

e. f(1) = -3 and f(4) = -4

Learn more about the domain, range, intercepts here:

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Answer:

79/96

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 × 5 = 5

(- 2) × (- 3) = 6

4 × (- 6) = - 24

I hope I've helped you.

Answer:

Picture for solition......

The original price of the phone was about $319.80.

Fill in that number for p to get your answer.