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3 years ago

17. 7 1⁄5 – 6 2⁄5 = ? A. 4⁄5 B. 13 3⁄5 C. 1 4⁄5 D. 1 1⁄5

2 answers:

8 0

The answer is 4/5, A. First, we should convert everything into an improper fraction. This gives us 36/5 - 32/5. Next, we have to subtract and get an answer of 4/5. Usually, we would have to convert this number back into a mixed number, but 4/5 is less than 1 and is therefore the answer.

Hope this helps!

disa [49]3 years ago

4 0

The answer will be A

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A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides

baherus [9]

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

**Please refer to the attached diagram when following the step-by-step**

First, find m∠C (green angle on diagram) by using the cosine rule:

$c^2=a^2+b^2-2abcos(C)$

$\implies 29^2=6^2+25^2-2(6)(25)cos(C)$

$\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}$

$\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}$

$\implies cos(C)=126.8698976... \textdegree$

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

$180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree$

Now use the Sine Rule (for finding sides) to determine height (h):

$\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}$

$\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}$

$\implies 6 \times \frac{4}{5}=h$

$\implies h=\frac{24}{5}=4.8$

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

7 0

3 years ago

Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of

Verizon [17]

$4, $8, and $12 because each is a multiple of 4 (4x1=4, 4x2=8, 4x3=12) and they all add up to 24.

4 0

3 years ago

The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis an

pentagon [3]

Answer:

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right

Step-by-step explanation:

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4 years ago

Write the mixed number as a fraction 2 3/5

KengaRu [80]

Answer:13/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If the median of five consecutive even integers is 20, what is the value of the smallest integer?

IceJOKER [234]

Answer:

Step-by-step explanation:

Median means the middle number. So you can look at it like this:

a,b, 20, c,d

Those are the variables for the numbers we do not know. We do know that they are all even numbers and they are consecutive, meaning in sequence. So if they are all even, then there should be a gap of 2 between each. They should also be in order. Knowing that, you can subtract 2 from 20 to get b, subtract 2 from b to get a, add 2 to 20 to get c, and add 2 to c to get d.

This should be your answer:

16, 18, 20, 22, 24

Consecutive, and even.

5 0

3 years ago