Ask question

Ask question

All categories

3 years ago

5

the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th

e pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

2 answers:

miss Akunina [59]3 years ago

5 0

Answer:

The volume of the pyramid is $V=187\ ft^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

$B=93.5\ ft^{2}$

$H=6\ ft$

substitute

$V=\frac{1}{3}(93.5)(6)=187\ ft^{3}$

Pepsi [2]3 years ago

3 0

Answer:The answer is 187 ft to the 3 power

You might be interested in

A student is training for the swim team during July and August one summer. She swims one hour every day, while averaging 800 met

Alex787 [66]

Step-by-step explanation:

Please find the attachment.

Let x be the number of hours the student swims per day.

We have been that a student swims one hour every day, so in 2 months the student will swim 60 hours.

We are also told that the student swims 800 meters each day. This means that slope of the graph that represents the total meters swam during the time of her training program will be 800.

So in 60 days the student will swim $60\times 800=48,000\text{ meters}$ .

We can see from our attached graph that at x equals 60 our y is approximately 48.

Since y-axis represents the number of meters in thousands, so 48 stands for 48,000.

Therefore, attached graph is the right choice.

3 0

3 years ago

Find the image of (-1,3) translated 2 units down and rotated 180 degrees counterclockwise

miss Akunina [59]

Answer (1,-1)

It said I needed more than 20 characters

7 0

3 years ago

marta [7]

Step-by-step explanation:

Commission earned

= 1/32 * Total sales

= 1/32 * $24,000

= $750.

4 0

3 years ago

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

so

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

3 years ago

Please help someone I need to turn this in in like 10 mins please helpppppp

konstantin123 [22]

Answer:

3.6 - 0.65 = 2.95

Step-by-step explanation:

subtract

3.6 - 2.95 = 0.65

6 0

3 years ago