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2 years ago

Rotate the parallelogram 90° clockwise about point q

Mathematics

2 answers:

oee [108]2 years ago

8 0

The rotation is sketched in the photo, with the shaded parollellagram being the origional

Ne4ueva [31]2 years ago

8 0

Answer:

The picture above is correct. Remember the key word is clockwise therefore, turning to the right.

Step-by-step explanation:

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Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can

Verdich [7]

Answer: 20 Bottles

Step-by-step Explanation:
$71.00 is the total.
$3.55 is for one bottle.
So you have to divide $71.00 by $3.55, to find out how many she can buy. So,
$71.00/$3.00 = 20.
Mrs. Thomas can buy 20 bottles of juice.

8 0

2 years ago

Read 2 more answers

1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyr

Cloud [144]

Answer:

Devin will need 9 cubes of wax.

Step-by-step explanation:

To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.

Once you get 8.4375 cubes, you round to the next whole number, which is nine.

4 0

2 years ago

Read 2 more answers

Quincy feeds his dog 2.75 cups food each day each cup of dog food costs $1.25. He multiplies the numbers together to determine h

Flura [38]

2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2

6 0

2 years ago

Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes. What is the distance in miles to his

bulgar [2K]

Answer:

The distance to his office is 2.5 miles.

Step-by-step explanation:

Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.

To find : What is the distance in miles to his office?

Solution :

The relationship between distance, speed and time is

$\text{Distnace}=\text{Speed}\times \text{Time}$

The speed of bicycle is 10 miles per hour.

Time taken is 15 minutes.

Converting into hours,

1 hour = 60 minutes

1 minute = $\frac{1}{60}$ hours

15 minute = $\frac{15}{60}$ hours

15 minute = 0.25 hours

Substitute the value sin the formula,

$\text{Distnace}=10\times0.25$

$\text{Distnace}=2.5$

Therefore, The distance to his office is 2.5 miles.

4 0

2 years ago

A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame

snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore, length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be = (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame - area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula $=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , we get

$=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}$

$x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)$

$x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)$

We cant take negative value.

So, $x=5\left(\sqrt{71}-6\right)=12.13$

We could take approximately 12 cm.

7 0

2 years ago