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viva [34]
3 years ago
7

Find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and

5 cm.

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0
Check the picture below.

the base of it is one of the triangles, and thus, the sides are just the 3 rectangles.

notice all you have is a 3x5 rectangle, a 5x5 one and a 4x5 rectangle.

get their area, sum them up, and that's the lateral, sides, area of the triangular prism.

(3 · 5)  +  (5 · 5)  +  (4 · 5)

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Solve for z: yz + 4z = z - y²<br><br><br><br>​
poizon [28]

Answer:

Step-by-step explanation:

yz+4z=z-y²

yz+4z-z=-y²

yz+3z=-y²

z(y+3)=-y²

z=-\frac{y^2}{y+3 }

3 0
3 years ago
Consider the number 284,682
Law Incorporation [45]

Answer:

Hundred thousand's 200000

Ten thousand's = 80000

Thousand's = 4000

Hundreds = 600

Tens = 80

Ones = 2

This is the place value of 284682

Two hundred eighty-four thousand six hundred eighty-two

5 0
3 years ago
Read 2 more answers
What's the answer? 5h(k-13)+3=49-k equality<br><br>please answer...
postnew [5]

Answer: 50k maybe the


Step-by-step explanation:


5 0
3 years ago
A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with
OleMash [197]

Answer:

The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

<u><em>Taking the value </em></u>\pi<u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times 2^2\times \frac{h}{3}

6=3.14\times 4\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

18=12.56h

<em>Dividing both sides by 12.56 we get:</em>

1.43=h

h=1.43\ inches.

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

Volume =\pi r^2h

Volume=3.14\times 2^2\times 1.43

Volume=3.14\times 4\times 1.43

Volume=17.96\ oz.

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0
3 years ago
Please help me. (20 points)
alexandr402 [8]

Hello from MrBillDoesMath!

Answer:

75

Discussion:


A plane triangle has 180 degrees. Using this in the diagram gives  

x + 81 + angle BAC = 180             (***)

(The diagram is a bit fuzzy but I think the above numbers are accurate)

The diagram also shows that  (156 + angle BAC )= 180 as a straight line has 180 degrees. So

angle BAC = 180 - 156 = 24

Substituting this in (***) above gives

x + 81 + 24 = 180 =>

x + 105 = 180   =>               (as 81 + 24 = 105)

x = 180  107 = 75


Check: Does

x + 81 + angle BAC = 180   ?

75 + 81 + 24 = 180.  Yes




Thank you,

MrB

7 0
3 years ago
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