The bases of a right prism are isosceles trapezoids with bases of 10 ft and 18 ft
and legs of 5 ft. The height of the prism is 12 ft. Find the surface area in square
feet.

→Answer:

Image below

→Step-by-step explanation:

First, we need to simplify the following equation to f(c) = 70x.

So the graph will be in the image below.

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Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

Answer:

Option A is the correct option

Step-by-step explanation:

Solution,

Let the points be A and B

A ( 2,3)--------> ( x1 , y1 )

B ( 10,3)--------> ( x2, y2)

Now,

Midpoint of AB:

(X1+x2/2 , y1 +y2/2 )

= ( 2+10/2 , 3+3/2 )

= ( 12/2 , 6/2, )

= ( 6 , 3 )

Hope this helps ..

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

Answer:

69

Step-by-step explanation:

The median is the middle number.  Using the box and whisker box, the median is the middle line in the box.    The line is at 69 for  Genevieve

Answer:

(- 3, 1 )

Step-by-step explanation:

Given the 2 equations

2x - 2y = - 8 → (1)

x + 2y = - 1 → (2)

Adding the 2 equations will eliminate the y- term, that is

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (2)

- 3 + 2y = - 1 ( add 3 to both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (- 3, 1 )

Answer:

-3,1

Step-by-step explanation:

Answer:

Is $9

Step-by-step explanation:

$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub

Answer:

9

Step-by-step explanation:

Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.

Answer:

Step-by-step explanation:

17)-8(5-n)=-96

 -8*(5-n)-(-96)=0

 (0 -  8 • (5 - n)) -  -96  = 0

 8n + 56  =   8 • (n + 7)

 8 • (n + 7)  = 0

Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    n+7 = 0  

Subtract  7  from both sides of the equation :  

                     n = -7

n = -7 is your answer

Answer:

                [tex]\dfrac{1}{30}[/tex]

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]

Answer:

number 1

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

It's because both x and y increase linearly by adding two each time to the x  and 4 to the y.

Answer:

Step-by-step explanation:

n = 7

Mean = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6)/7 = 7.6

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (9.0 - 7.6)^2 + (7.3 - 7.6)^2 + (6.0 - 7.6)^2 + (8.8 - 7.6)^2 + (6.8 - 7.6)^2 + (8.4 - 7.6)^2 + (6.6 - 7.6)^2 = 8.33

Standard deviation = √(8.33/7

s = 1.1

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 6.6

For the alternative hypothesis,

H1: µ ≠ 6.6

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 7.6

µ = population mean = 6.6

s = samples standard deviation = 1.1

t = (7.6 - 6.6)/(1.1/√7) = 2.41

We would determine the p value using the t test calculator. It becomes

p = 0.053

Since alpha, 0.05 < than the p value, 0.053, then we would fail to reject the null hypothesis.

Answer:

Y= -9, -4, 1, and 11

Step-by-step explanation:

You substitute in the numbers on the left (under x) into the equation to find y.

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

Answer:

Step-by-step explanation:But my eqn came like this...

Answer:

me

Step-by-step explanation:

Answer:

I can try to help whats ur question?

Answer:

The perimeter of the rectangle is 30cm and the perimeter of the square is 20cm

Step-by-step explanation:

Given

Dimension of Paper = 10 cm by 10 cm

Required

Find the perimeter of the shapes formed when the paper is folded

The dimension of the paper shows that it is a square;

At the initial stage when it's folded in half to form a rectangle;

This implies that only one side of the paper is folded and the new dimension becomes 10cm/2 by 10cm

New Dimension = 10cm/2 by 10cm

New Dimension = 5cm by 10cm

The perimeter of this is calculated as follows;

Perimeter = 2(L + B) where L and B are the dimensions of the rectangle

Perimeter = 2(5cm + 10cm)

Perimeter = 2(15cm)

Perimeter = 2 * 15cm

Perimeter = 30cm

When the paper is further folded in half to form a square;

This implies that the other side that wasn't folded initially, is now folded;

The new dimension becomes 5cm by 10cm/2

New Dimension = 5cm by 10cm/2

New Dimension = 5cm by 5cm

The perimeter of this is calculated as follows;

Perimeter = 2(L + L) where L is dimensions of the square

Perimeter = 2(5cm + %cm)

Perimeter = 2(10cm)

Perimeter = 2 * 10cm

Perimeter = 20cm

Hence, the perimeter of the rectangle is 30cm and the perimeter of the square is 20cm

Answer:

2.5 pounds of cashews.

Step-by-step explanation:

Let's say we have a for pounds of almonds and c for pounds of cashews.

6.5a + 5.5c = 23.5

6.5 * 1.5 + 5.5c = 23.5

9.75 + 5.5c = 23.5

5.5c = 13.75

c = 2.5

So, Ariel bought 2.5 pounds of cashews.

Hope this helps!

Answer:

2.5 pounds of cashews

Step-by-step explanation:

First, we have to find out how much money she spent on almonds. To do this we must multiply how many pounds she got by the price per pound. This means we multiply $6.5 by 1.5, which equals $9.75. Now we have to subtract this from the total amount she spent to find how much she spent on cashews. Since $23.50-$9.75=$13.75, she spent $13.75 on cashews. Now all we have to do is divide this by how much it cost per pound to find out how many pounds she bought. Since 13.75/5.5=2.5, she bought 2.5 pounds of cashews.

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

Answer:

38/21 or 1.80952381

Step-by-step explanation:

Answer:

(76/3) / 14 OR AROUND 9/5

Step-by-step explanation:

So I'm assuming this equation is (76/9) / (14/3)

We can solve this in a simple way instead of a hard way -->

9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)

76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5

Hope this helps!

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

Answer:

1. 2/3 or 66.7%

2. 3/5 or 60%

3. 6

4. 1/6 or 16.7%

5. 2/5 or 40%

Step-by-step explanation:

Answer:

no point of intersection

Step-by-step explanation:

y=x-8

y=x^2-2x-3

Answer:

332.08 feet

Step-by-step explanation:

Let h be the height of the window washer above the street

Using trigonometric ratio

[tex]\tan 73^\circ=\dfrac{h}{100}\\ h=100 \times \tan 73^\circ\\h=327.08$ feet[/tex]

The distance of the window washer above the street

=327.08+5

=332.08 feet

The window washer is 332.08 feet above the street.

Answer:

height is dependent variable

age of redwood is Independent variable.

Step-by-step explanation:

Independent variables are those variables whose value does not gets affected by change in other variable.

dependent variable are those variable are those variables whose value does  gets affected by change in other variable.

means that if there a change in value od one variable then the value of dependent variable also gets changed.

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Given

The height of a redwood (in meter) tree varies with age (years).

Here height of redwood will change if age of redwood changes.

hence, height is dependent on age and hence going by definition of dependent variable

height is dependent variable

In the problem age does not change with height of the tree and it is also given that age varies with any other attribute.

hence change in  value of age does not depend on any variable and hence

age of redwood is Independent variable.

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

Answer:

x = 6

Step-by-step explanation:

4x + 23 = 9x - 7

23 = 9x - 4x - 7

23 + 7 = 5x

30 = 5x

30 ÷ 5 = x

6 = x

x = 6