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kirill115 [55]
3 years ago
10

Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0
Note that a squared pyramid has a square base & 4 equal triangles.
To find the lateral the lateral area you calculate the area of the 4 equal triangles  and to find the surface area (total Area) you add the area of the base:

Area of each triangle = side (5) x slant (9) and you divide by 2

==>Aera of 1 triangle = (9x5)/2 = 45/2 & for the 4 triangles

Lateral area = (45/2) x 4 = 90 in²

Now the base area (square) = 5 x 5= 25 in²

so the surface area = 90+25 = 115 in² (answer a)
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a pile of sand has a weight of 90kg The sand is put into a small bag, a medium bag and a large bag in the ratio of 2 : 3 : 7 Wor
just olya [345]
Hi there!

To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.

12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.

Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.

~ Hope this helps you!
3 0
3 years ago
Combine the like terms to create an equivalent expression <br> 4z- (-3z)
NNADVOKAT [17]

Answer:

7z

Step-by-step explanation:

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4z - (-3z)\\4z+3z\\7z

4 0
3 years ago
What are the coefficient(s) in the expression 6y+3x-2​
Maslowich

Answer:

6 and 3

Step-by-step explanation:

3 0
3 years ago
I really need help please! Number 5!! (Factoring)<br><br> Please show how you got it.
Citrus2011 [14]

Answer:

(4×-3)(2x-1)

Step-by-step explanation:

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8x²-4x-6x+3

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7 0
3 years ago
Need 19 plz don’t rlly understand but if u can help that would be amazing thanks &lt;3
Neko [114]

Answer:

I got zero but I am not sure if that is right

Step-by-step explanation:

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3 years ago
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