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Law Incorporation [45]
2 years ago
7

Please help!! ASAP

Mathematics
1 answer:
Kryger [21]2 years ago
6 0

Answer:

The answer is 117.3 in^{3}.

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = \frac{1}{3} \pi  r^{2} h.

Next, plug in the information given from the problem, and the formula will look like V = \frac{1}{3} (\pi) (4 in^{2}) (7 in).

Then, solve the equation, and the answer will be 117.3 in^{3}.

You might be interested in
In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.
Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

  • <ABD = <BDH = 38°
  • <DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

4 0
2 years ago
A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch
mylen [45]

Answer:

Option B ⇒ Area of base of each pyramid :

(\frac{x}{4})^2 in^2

Option A ⇒ Volume of pyramid :

\frac{1}{3} x^{2} \cdot y   cm3

Step-by-step explanation:

One side of tile consists of 4 pyramids and since length of whole tile is x,

So, the base length of each pyramid = \frac{x}{4}

⇒ Area of base of each pyramid = side²

⇒ Area =

(\frac{x}{4})^2 in^2

Volume of square based pyramid :

=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3

For 1. The correct Option is B

For 2. The correct option is A

7 0
2 years ago
Read 2 more answers
1/4 x 6 in simplest form
love history [14]

Answer:

1 1/2

Step-by-step explanation:

1*6=6

6/4=1.5

1.5 1 1/2

7 0
2 years ago
How to figure this out!
4vir4ik [10]
96  ---> 100%

60 ----> x



x=(60*100%)/96=62.5%
5 0
3 years ago
One bus leaves a stop every 9minutes. A second bus leaves the stop every 15 minutes. If they both leave at 1:25 P.M., AT what ti
jasenka [17]
1:40 because 25 plus 15 equals 40 and if it went over 60 it would 2:00 so the answer is 1:40
8 0
2 years ago
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