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3 years ago

What is the area of the figure below please explain!

Mathematics

1 answer:

jeyben [28]3 years ago

4 0

I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total

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Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220

Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

Time = Distance/ Rate = x/ 250 (hour)

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

Time = Distance/ Rate = (1,880 - x)/220 (hour)

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> x/ 250 = (1,880 - x)/220

=> 220x = 250 x (1,880 -x)

=> 220x = 470,000 - 250x

=> 470x = 470,000

=> x = 1,000

So that, when two train pass each other, Lian has traveled x = 1,000 km

6 0

3 years ago

Read 2 more answers

Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies. How much sugar does Ginny need to make 36 of the

Delicious77 [7]

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Step-by-step explanation:

Given,

Sugar cups required for 24 cookies = $1\frac{1}{2}=\frac{3}{2}\ cups$

Ratio of sugar cups to cookies = $\frac{3}{2}:24$

Let,

x be the number of cups needed for 36 cookies.

Ratio of sugar cups to cookies = $x:36\\$

Using proportion;

Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

$\frac{3}{2}:24::x:36$

Product of mean = Product of extreme

$24*x=\frac{3}{2}*36\\24x=54$

Dividing both sides by 24

$\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}$

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Keywords: fraction, proportion

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago

PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!

masya89 [10]

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

3 0

2 years ago

What is the ratio of the width to the length of a rectangular field that has a perimeter of 120 meters and an area of 500 square

Vinil7 [7]

Answer:

Step-by-step explanation:

w=50m

10m

6 0

2 years ago

A local university has 2.815 Hispanic students out of a total student population of 20.250. Do the Hispanic students have propor

Over [174]

Given:
The race percent of population is
White: 45%
Hispanic: 27%
Black: 18%
Asian: 7%
Other: 3%

Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.

Answer: The Hispanic students do not have proportional representation.

Part b.
Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5

This means that 2,653 extra Hispanic students are required for a population of 20,250 students.

Answer: 2,653 extra Hispanic students.

5 0

3 years ago