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2 years ago

What is the area of this parallelogram 20 28 30 35

Mathematics

2 answers:

Radda [10]2 years ago

4 0

It’s 28 hoped I helped

Vikentia [17]2 years ago

3 0

ANSWER: 28

EXPLANATION:

Area is l • w or length • width. We know the width is 7 but for the length you only multiply the straight line. As 5 is slanted we use 4 instead, leaving us to multiply 7 • 4. This give us a solution of 28.

Hope that helps★

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Your class of 96 students is going on a field trip to the aquarium.

barxatty [35]

Answer:

54 in one bus

Step-by-step explanation:

96/2=48

48+6=54

8 0

1 year ago

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light

Tema [17]

Answer:

I believe it's the 1st one.

HOPE IT HELPS! BE SAFE :3

4 0

2 years ago

HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!

dmitriy555 [2]

Answer:

2n + 11

Step-by-step explanation:

You can combine 4n and -2n.

You get 2n + 11

8 0

2 years ago

The diagram shows a logo made from 3 circles.

Cloud [144]

Answer:

% area of the shaded region = 33%

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

Area of the middle circle = πr²

= π(7)²

= 49π

Area of the inner circle = π(4)²

= 16π

Area of the shaded region= 49π - 16π

= 33π

Area of the outermost circle = π(10)²

= 100π

% area of the shaded region = $\frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100$

= $\frac{33\pi }{100\pi }\times 100$

= 33%

Therefore, area of the shaded region is 33% of the complete logo.

3 0

3 years ago