What is the area of the trapezoid?
19 cm
30 cm;
31 cm
32 cm
square centimeters

Answer:

It is >

Step-by-step explanation:

because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2

Answer:

4 ft = width of walkway

Step-by-step explanation:

It helps if you can draw a figure.

Let x = width of walkway

Length of pool + walkway = (2x + 15)

Width of pool + walkway = (2x + 15)

area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]

Area of the pool = 15(15) = 225

Now,

The area of the walkway = area of pool and walkway together - area of pool

304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225

304 = [tex]4x^{2}[/tex] + 60x

4[tex]x^{2}[/tex] + 60x - 304 = 0

4([tex]x^{2}[/tex] +15x - 76) = 0

4(x - 4)(x + 19) = 0

x = 4    x = -19

-19 must be discarded because a length cannot be negative

Therefore x = 4 ft = width of walkway

9514 1404 393

Answer:

Step-by-step explanation:

a) Locate the point -2 on the x-axis. Follow the line up until it meets the blue curve. Follow that grid line to the right to see where it meets the y-axis. It is y=2. That means f(-2) = 2.

__

b) Locate y=4 on the y-axis. Notice that the curve intersects the y-axis there, so x=0.

x = 0 is the only value of x for which f(x) = 4.

Answer:

no difference

When you multiply negative numbers together an even number of times, they change from negative to positive.

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

sine is opposite over hypotenuse,

so it's 40/50=4/5

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

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Answer:

2 yards.

Step-by-step explanation:

We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.

Answer:

2 yards

Step-by-step explanation:

The question is asking what the length of a bed would be.

To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.

So with this info, we can scratch D and B. As for A and C, let's convert them into feet.

1 yard equals 3 feet, meaning two yards would be 6 feet.

1 mile is 5280 feet, this is obviously wrong.

A is our answer.

Answer:

Tall, light, test, treat.

I think this ans may help you

Answer:

dividimos los 42 dejando 12 para cada 1 sobran 6 pies para el primero le aumentamos 4 al segundo 2 y el ultimo se quedaria asi y asi tendria 2 pies de longitud mas que el anterios y el mas largo tendria 16 pies el mediano 14 y el mas pequeño 12

1. x = 28

2. x = 13

3. x = 11

4. x = 50

5. x = 53

6. x = 77

7. x = 5

8. x = 70

Answer:

yes

Step-by-step explanation:

each side is length by with so you can tell these are congruent

Answer:

Yes

Step-by-step explanation:

The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.

Answer:

a). 21.2

Step-by-step explanation:

square has 4 sides

one side = 60÷4 = 15

Use pythogoras theorem to find the hypotenuse thus the diagonal of the square.

x = √(15² + 15²)

x = √(225 + 225)

x = √450

x = 21.21 (2 dp)

Answer:

3.)   y-int = 0

4.)   y-int = -1

5.)   slope = 2

      y-int = 4

6.)   slope = -1

      y-int = -6

7.)   slope = 5

      y-int = 8

8.)   slope = 7

      y-int = 1/2

Step-by-step explanation:

basically, you want to get each of your functions in terms of (y = mx + b)

for each of these:

m will be your slope

b will be your y-intercept

x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

Answer: 600 ml

Step-by-step explanation:

Let the volume of the solution be represented by x.

Therefore, we can form an equation based on the information given which will be:

= 4% × x = 24.

4/100 × x = 24.

0.04 × x = 24

0.04x = 24

x = 24/0.04

x = 600

The volume of the solution is 600ml

Hey dude, I'm not completely sure but I think the answer's 30°.

Answer:

97.58

Step-by-step explanation:

Answer: D $15

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

c = x

x^2 = a^2 + b^2

x^2 = 24^2 + 7^2

x^2 = 576 + 49

x^2 = 625

x = 25

Answer:

$5.40

Step-by-step explanation:

First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40

Answer:

The answer is

(x-1) (x-9)

The factored form of the related polynomial function is    [tex](x-1)(x+7).[/tex]

Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

We have,

In the graph given in question, we can see that [tex]x-[/tex]intercepts the axis twice.

And graphs behave differently at various [tex]x-[/tex]intercepts. Sometimes the graph will cross over the [tex]x-[/tex]axis at an intercept and other times the graph will touch the [tex]x-[/tex]axis and bounce off.

Now, in graph;

The [tex]x-[/tex]intercept at [tex]x=1[/tex], i.e. the solution of the [tex]x-1=0[/tex] and passes through the axis.

Now,

The [tex]x-[/tex]intercept at [tex]x=7[/tex]  is the solution of [tex]x-7=0[/tex] and again passes through the axis.

So, from the above statements we can say that the factored form of the related polynomial is [tex](x-1)(x+7).[/tex]

Hence, we can say that the factored form of the related polynomial function is    [tex](x-1)(x+7).[/tex]

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Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

Answer:

in one hour = 567÷9

= 63

hence, to drive 315 miles he would need = 315×63 hours

divide yourself my dear friend.

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Answer:

5 hours.

Step-by-step explanation:

567/9 = 63mph

315/63 = 5

Answer:

2 hours and 24 minutes.

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

Answer:

329.91 cm^2

Step-by-step explanation:

A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Your answer

Given data

inner radius= 8cm

area= πr^2

area= 3.142*8^2

area= 3.142*16

area= 50.272 cm^2

outer radius= 11cm

area= πr^2

area= 3.142*11^2

area= 3.142*121

area= 380.182 cm^2

Hence the area of the shaded part is

=380.182-50.272

=329.91 cm^2

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

133=7+14x

133-7=14x

14x=133-4

14x=129

14x=129

14 14

x=129

14

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-7x+10=0

(x-2)(x-5)=0

x=2 or x=5

Answer:

Step-by-step explanation:

x2−7x+10=0

Step 1: Factor left side of equation.

(x−2)(x−5)=0

Step 2: Set factors equal to 0.

x−2=0 or x−5=0

x=2 or x=5

(You can confirm this by plugging in the numbers yourself)

Answer:

20 miles

Step-by-step explanation:

x = break even miles

$10 + x($1.50 = x($2.00)

10 + 1.5x = 2x

0.5x=10

x = 20 miles