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3 years ago

John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?

Mathematics

1 answer:

Liula [17]3 years ago

7 0

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

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Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

3 years ago

Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio

AleksandrR [38]

The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

3 0

2 years ago

What is the least common denominator for the fractions1/6and 3/4 ?

melomori [17]

A. 12; Least common denominator is the least multiple that the denominator have together. So you multiply the denominators until you get the first number they both have in common.
6*1 = 6
6*2 =12

4*1 =4
4*2 =8
4*3 = 12

Since the first number they both have in common is 12, the least common denominator is 12

3 0

3 years ago

A jug of water is 1/3 full. If 5 children equally share the water, what fraction of the full jug does each child get?

love history [14]

The answer would be B) 1/15

7 0

3 years ago

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May you please help me with number 12 a. and b. and show work. thank you

notka56 [123]

(a)7x4=28
2x2=4
28-4=24
24-1=23 points
(b)20/4=7 correct answers

6 0

3 years ago

Read 2 more answers