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3 years ago

Are the dotted lines in the shape parallel, perpendicular or intersecting?

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

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The value of the figure's surface area is equal to the value of the figure's volume find the value of x. the picture is of recta

emmasim [6.3K]

Surface are of a rectangular prism = 2(l x w + l x h + w x h) = 2(10 x 3 + 10x + 3x) = 2(30 + 13x) = 60 + 26x

Volume of a rectangular prism = l x w x h = 10 * 3 * x = 30x

Since surface area = volume
60 + 26x = 30x
4x = 60
x = 15 in

7 0

3 years ago

I NEED MEGA HELP WITH THIS QUESTION

katrin2010 [14]

Answer:

C. $y = - \frac{1}{4} x - 2$

Step-by-step explanation:

To find slope using coordinates, use the formula above.

$(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4}$

Now, using the $y = mx + b$ formula, plug in $- \frac{1}{4}$ as $m$ (slope) and either coordinate as the $x$ and $y$ values. It looks like this:

$- 3 = - \frac{1}{4}(4) + b$

To solve for $b$ , continue to use PEMDAS.

$- 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b$

Now use $m$ and $b$ to solve for your equation:

$y = - \frac{1}{4} x - 2$

The answer is C.

4 0

3 years ago

Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

mel-nik [20]

Step-by-step explanation:

She made a sign error when multiplying and should have had 256 as a final answer.

3 0

2 years ago

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa

kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice and sparkling water in 100 quart of punch are 33 1/3 quart and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1) water required for 3/4 quart of grape juice = 3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

For 18 quart of Sparkling water , grape juice require = 9 quart

So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

so for 15/4 quart of Sparkling water , grape juice require = 1/2 × 15/4 =

15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water in 1 quart of punch = 2/3 quart

And quantity of sparkling water in 100 quart of punch = 100 ×2/3 quart = 66 2/3

3 0

3 years ago

A CD usually sells for $17.00. If the CD is 30% off, and sales tax is 8%, what is the total price of the CD, including tax?

Mademuasel [1]

Answer:

First find what the sale price of the CD is. 30% off means the CD is selling for 70% of the original cost ( 100%-30% = 70%)

Multiply the original cost by 70%:

17.00 x 0.70 = $11.90 ( sale price)

Now you need to multiply the sale price by the tax percentage to find the amount of tax:

11.90 x 0.08 = 0.95 ( tax)

Now add the sale price and the tax for the total cost:

11.90 + 0.95 = $12.85

6 0

2 years ago