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2 years ago

A Spanish test has 30 questions. A student answers 80% correctly.

Mathematics

1 answer:

ad-work [718]2 years ago

6 0

Answer:

Step-by-step explanation:

Lets start by working out 80% of 30

80% x 30=24

so the student answered 24 questions correctly

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The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha

xz_007 [3.2K]

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + $\sqrt{h^{2}+r^(2) }$ )
(r: radius, h: height, πr^2 is the area of the base of the cone, πr $\sqrt{h^{2}+r^(2) }$ is the lateral area of the cone). So:

A = $15\pi (15 + \sqrt{30^{2} +15^{2} } )$ ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A $L$ = $15\pi \sqrt{30^{2} +15^{2} }$ ≈ 1580.58 ft^2.

5 0

2 years ago

A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

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3 years ago

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before to

oksian1 [2.3K]

Answer:

Step-by-step explanation:

because is joy walked 14 steps and her friend walks 5 steps the answer is 19 steps 14+5=19

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1 year ago

The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how the variables are relate

klio [65]

The variables are the number of handbags and the time.

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3 years ago

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D, h, and p are coplanar ?

Allushta [10]

Answer:

Yes

Step-by-step explanation:

But if you stuck a pencil through the center of the picture the line that it makes would not be coplanar.

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3 years ago

Read 2 more answers