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3 years ago

Which triangle’s unknown side length measures 53sqrt units?

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

8 0

The answer is the one with 10 and 47 I just got it right

Varvara68 [4.7K]3 years ago

4 0

Which triangle’s unknown side length measures 53 sqrt units?

assuming they are right triangles
we know that
c²=a²+b²

case a) 6 and 91sqrt
c=√91
a=6
b=√53
so
a²+b²----> 6²+√53²----> 36+53----> 89
89 is not √91²

case b) 10 and 47sqrt
c=10
a=√53
b=√47
a²+b²----> 53+47----> 100
100 is equal to 10²------> is ok

case c) 34sqrt and 19sqrt
c=√53
a=√34
b=√19
a²+b²----> 34+19----> 53
53 is equal to √53²----> is ok

case d) 20 and 73sqrt
c=20
a=√73
b=√53
a²+b²----> √73²+√53²----> 126
126 is not 20²

the answers are
10 and 47sqrt
34sqrt and 19sqrt

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liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

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e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

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The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

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3 years ago

What do the Roman Numerals CLXXV111 represent

fomenos

178.

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3 years ago

A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he

11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

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So, S.A of cone = π(5)² + (π×5×13)

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3 years ago

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insens350 [35]

Answer:

Option (A)

Step-by-step explanation:

Given:

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To Prove:

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Statements Reasons

1). LM ≅ OP 1). Given

2). MN ≅ PQ 2). Given

3). ∠P ≅ ∠M 3). Given

4). ΔLNM ≅ ΔOQP 4). By the SAS postulate of congruence.

[Side - Angle - Side]

Therefore, Option (A) will be the answer.

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antiseptic1488 [7]

Answer:

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