Using the digits 1-9 each only once, create three equivalent ratios..

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0

2 years ago

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

kompoz [17]

Answer:

$LJ=15\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

$KJ^{2}=JM^{2}+KM^{2}$

we have

$JM=3\ units$

$KM=6\ units$

substitute

$KJ^{2}=3^{2}+6^{2}$

$KJ^{2}=45}$

$KJ=\sqrt{45}\ units$

simplify

$KJ=3\sqrt{5}\ units$

step 2

Find the value of cosine of angle MJK in the right triangle JKM

$cos(JKM)=JM/KJ$

substitute the values

$cos(JKM)=\frac{3}{3\sqrt{5}}$

simplify

$cos(JKM)=\frac{\sqrt{5}}{5}$ -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

$cos(JKM)=KJ/LJ$

we have

$KJ=3\sqrt{5}\ units$

$cos(JKM)=\frac{\sqrt{5}}{5}$ ----> remember equation A

substitute the values

$\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}$

Simplify

$LJ=5(3)=15\ units$

8 0

2 years ago

Read 2 more answers

Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit

juin [17]

Answer:

hjgfghjk

Step-by-step explanation:

:)

8 0

1 year ago

What is the midpoint between (-4,4),(-2,2)

Otrada [13]

The answer is b (-3,3)

3 0

2 years ago

Alice sleeps an average of 9 hours per night a cat can sleep up to 20 hours per day about how many more hours does a cat sleep i

SashulF [63]

Answer:

330 hs

Step-by-step explanation:

If Alice sleeps an average of 9 hs and her cat sleeps an average of 20 hours each day we can say that her cat sleeps an average of 11 hours more per day than her.

If the cat sleeps 11 hours more than her per day, for getting the hours he sleeps more by month we just need to multiply the daily value by the number of days in a month. Thus,

30 * (11) = 330

So, her cat sleeps an average of 330 hours more than her in a month, which can be decomposed in 11 hours a day.

I hope it is understandable.

7 0

2 years ago