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kondaur [170]
3 years ago
13

Find the length of the radius of a sphere with a surface area of 5541.77 cm2.

Mathematics
1 answer:
ladessa [460]3 years ago
6 0
The area of a sphere: A  = 4.π.R²

A= 5541.77 → 5541.77 = 4.π.R²

R² = (5541.77)/(4.π)
R² = 441; → R =√441; R = 21 cm

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Assuming that the ship travels at a constant speed, what is its speed?
Ilia_Sergeevich [38]

Answer: S= d/p

Step-by-step explanation: Take the distance (d) divided by time (t) and you should have your answer

4 0
2 years ago
8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
amm1812

Answer:

K = 43

Step-by-step explanation:

We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:

5y + 4x = 8

Rearrange

5y = 8 – 4x

5y = –4x + 8

Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4

Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.

This can be obtained as follow:

For perpendicular lines, their gradient is given by:

m1 × m2 = – 1

With the above formula, we can obtain the gradient of the line as follow:

m1 × m2 = – 1

m1 = –4

–4 × m2 = – 1

Divide both side by –4

m2 = –1/–4

m2 = 1/4

Finally, we shall determine the value of k as follow:

Coordinate => (k, 4) and (3, –6)

x1 coordinate = k

y1 coordinate = 4

x2 coordinate = 3

y2 coordinate = –6

Gradient (m) = 1/4

m = (y2 – y1) / (x2 – x1)

1/4 = (–6 – 4) / (3 – K)

1/4 = –10 /(3 – K)

Cross multiply

3 – K = 4 × –10

3 – K = –40

Collect like terms

– K = – 40 –3

–k = –43

Divide both side by – 1

K = –43/–1

k = 43

3 0
2 years ago
Walter pays $2.53 to ship a package
Ivan

Answer:

what is the rest of the equation?

Step-by-step explanation:

7 0
2 years ago
Which list accurately sorts the sequence of events that preceded the United States' entry into World War II?
mr Goodwill [35]

♡ The Question ♡

-Which list accurately sorts the sequence of events that preceded the United States' entry into World War II?

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧

* ♡ The Answer ♡

-The Germans conquered France; the Germans invaded the Soviet Union; Japan attacked Pearl Harbor; the United States declared war on Japan.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

-The Germans conquered France and invaded the Soviet Union before the Japanese attacked Pearl Harbor and the United States entered World War II.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧

*♡ Tips ♡

-No tips provided!

3 0
2 years ago
A customer from cavallaros fruit stand picks a sample of 4 oranges at random from a crate containing 60 oranges of which 5 are r
Nuetrik [128]
I honestly don't know if this is right but it may make sense:
x is the event of picking up a rotten orange.
Probability that x is more than or equal to 1
= 1 - p(x=0)
so use binomialpdf on calculator
where trial is 4, p = 1/12(5/60), x = 0
1 - binoomialpdf(4, 1/12, 0)
and u get 0.294
3 0
3 years ago
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