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Anika [276]
3 years ago
11

Find the lateral area of the prism. 120 sq. in. 150 sq. in. 720 sq. in.

Mathematics
1 answer:
mylen [45]3 years ago
3 0

For this case, we must find the lateral area of the pentagonal prism shown in the figure.

By definition:

A_ {l} = P_ {b} * h

Where:

A_{l}: Is the lateral area

P_ {b}: It is the perimeter of the base

h: It's the height

Substituting the values we have:

A_ {l} = 20 \ in * 6 \ in\\A_ {l} = 120 \ in ^ 2

Answer:

A_ {l} = 120 \ in ^ 2

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Identify the volume of the composite figure. HELP PLEASE!!
Ilya [14]

Answer:

Vol. of the composite figure is 189 m³

Step-by-step explanation:

Find the volume of the larger figure by mult. together its 3 dimensions:

V = (9 m)(8 m)(3 m) = 216 m³.

Next, find the volume of the "notch," which is (3 m)³, or 27 m³.

Finally, subtract the "notch" volume from the 216 m³ volume found earlier:

216 m³ - 27 m³ = 189 m³

4 0
4 years ago
Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3
eimsori [14]

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

8 0
3 years ago
Find how long it takes for $500 to double if it is invested at 6% interest compounded monthly
EastWind [94]

Answer:

11.581 years

Step-by-step explanation:

Formula:

AV=PV(1+\frac{i}{n})^{nt}\\1000=500(1+\frac{.06}{12})^{12t}\\2=1.005^{12t}\\log_{1.005}2=12t\\138.9757=12t\\t=11.5813

6 0
3 years ago
What does x equal in -2(4-3x)-6x=10
Natali [406]

Answer:

No solution

Step-by-step explanation:

-2(4-3x)-6x = 10

-8 + 6x - 6x = 10

-8 = 10

there is no solution because -8 cannot = 10

7 0
3 years ago
What is the product of 2.2 + 0.3d- 4
Novosadov [1.4K]

Hey there!

Firstly, you need combine your like terms

  • \bold{2.2AND-4}
  • \bold{0.3d} stays the SAME
  • \bold{2.2-4=-1.8}
  • \bold{0.3d+(-1.8)}
  • Combine the negative and the plus and make a negative symbol
  • \boxed{\boxed{\bold{Answer:0.3d-1.8}}}

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:)}


3 0
4 years ago
Read 2 more answers
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