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3 years ago

The figure shows a parallelogram inside a rectangle outline:

Mathematics

1 answer:

omeli [17]3 years ago

5 0

Answer: Choice D) 4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

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Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

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A slightly longer approach would have you follow these steps

Find the area of the rectangle. Call it A.
Find the area of the triangle on the left. Call it B.
Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.
The final answer is the computation of A-B-C and you should get 4/25.

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A water pitcher holds 3.5 quarts of water. How many liters of water does it hold? A 2.2 liters B) 3.3 liters C)3.7 liters D) 5.6

Marina CMI [18]

There is 0.946 liter in 1 quart

3.5/0.946 = 3.6997

~3.7 liters, or C

C is your answer

hope this helps

4 0

2 years ago

Read 2 more answers

Will reward brainliest!

Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

$\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}$

Dividing by 3, we get,

$x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}$

Hence, the equation has two irrational solutions.

8 0

2 years ago

2 please answer this question

Fittoniya [83]

B. End of the reconstruction.

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME THIS.. I REALLY NEED<br> HELP

Colt1911 [192]

9514 1404 393

Answer:

5 hours

Step-by-step explanation:

A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.

The first day, the charge is $3 more than $12 per hour.

The second day, the charge is $12 less than $15 per hour.

The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...

$15/($3/h) = 5 h

The charges are the same after 5 hours.

If you write equations for the charges, they will look like ...

y1 = 15 + 12(x -1)

y2 = 3 + 15(x -1)

Equating these charges, we have ...

15 +12(x -1) = 3 + 15(x -1)

12x +3 = 15x -12 . . . . . . . . eliminate parentheses

15 = 3x . . . . . . . . . . add 12-12x

x = 15/3 = 5 . . . . . . divide by 3

You might notice that the math here is very similar to that described in words, above.

The charges are the same after 5 hours.

6 0

2 years ago

Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of

CaHeK987 [17]

Answer: $D'(-14,1);\ E'(4,7);\ F'(4,1)$

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

$D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)$