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just olya [345]
3 years ago
15

What is the height of a cylinder with volume 6,908 cubic feet and with a base radius of 10 feet?

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
Base = 3.14 x 10 x 10 = 314
height = volume/base
=6908/314
=22 feet
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Tucker bought a new speaker priced at $45 and the sales tax is 7%. What is the total cost of the speaker after tax?
OleMash [197]
The total cost is $41.85


Amount Saved = 45 x 7 / 100
Amount Saved = 315 / 100
Amount Saved = $3.15 (answer).
In other words, a 7% discount for a item with original price of $45 is equal to $3.15 (Amount Saved).
Note that to find the amount saved, just multiply it by the percentage and divide by 100.
3 0
3 years ago
Read 2 more answers
In ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. Find the measure of ∠J to the nearest degree.
nydimaria [60]

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(\angle J)=\frac{22}{54}

Using inverse sine or arcsin, we will get:

\angle J=\text{sin}^{-1}(\frac{22}{54})

\angle J=24.042075905756^{\circ}

Upon rounding to nearest degree, we will get:

\angle J\approx 24^{\circ}

Therefore, the measure of angle J is approximately 24 degrees.

8 0
3 years ago
James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?
Tpy6a [65]
Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.
7 0
3 years ago
According to the graph, the system of linear equations has how many solutions?
slamgirl [31]

no solutions → C

The 2 given lines are parallel and never intersect thus no solution


8 0
3 years ago
Read 2 more answers
Please help me solve
mihalych1998 [28]

Answer:

x = 36.3°

using tane rule:

\sf tan(x)= \dfrac{opposite}{adjacent}

Here!

  • x = missing angle
  • opposite = 22
  • adjacent = 30

=============

\hookrightarrow \sf tan(x) = \dfrac{22}{30}

\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )

\hookrightarrow \sf x= 36.253^{\circ \:}

\hookrightarrow \sf x= 36.3^{\circ \:}        ( rounded to nearest tenth of a degree)

3 0
3 years ago
Read 2 more answers
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