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Stels [109]
4 years ago
12

A) calculate the surface area of the equilateral triangular prism.

Mathematics
1 answer:
weqwewe [10]4 years ago
7 0
(A)
Area of 2 triangles
= 2(1/2 × 8 × 7)
= 56cm^2
Area of 3 rectangles
= 3(20 × 8)
= 480cm^2
Surface area of equilateral triangular prism
= 56 + 480
= 536cm^2

(B)
Volume of triangular prism
= 1/2 × 8 × 7 × 20
= 560cm^3

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What is 15% of $10.00
Katarina [22]
In mathematics, the word 'of' always means multiplication, so to find out what 15% of $10.00 is, all we need to do is multiply the percentage by the dollar amount we are reducing.

In order to do this, we must first convert the percentage into a decimal. To do this, we can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.

15% = 0.15

So now, we can multiply.

0.15 * 10 = 1.5

which is our answer.
15% of $10.00 is $1.50.
Hope that helped! =)
3 0
3 years ago
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Question 3
Vilka [71]

Answer:

Diamond cannot conduct electricity but graphite can why

6 0
3 years ago
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é: a) r = 6 b) r = 7 c) r = 9 d
Maslowich

Answer:

1) b) r = 7

2) e) 82

Step-by-step explanation:

Progressão aritmética:

Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.

O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:

a_n = a_1 + (n-1)r

Tomando o m-ésimo termo como referência, tem-se que:

a_n = a_m + (n-m)r

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:

a_5 = 40, a_9 = 68. Então:

a_n = a_m + (n-m)r

68 = 40 + 4r

4r = 28

r = \frac{28}{4} = 7

Então a resposta correta é dada pela alternativa b.

2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:

O primeiro termo é a_1 = 72 e o oitavo termo é a_8 = 107. Com isso, é possível encontrar a razão.

a_n = a_1 + (n-1)r

107 = 72 + 7r

7r = 35

r = \frac{35}{7} = 5

Então, o terceiro termo é:

a_3 = a_1 + 2r = 72 + 2(5) = 82

Logo, a resposta correta é dada pela alternativa e.

5 0
3 years ago
Which ratio forms a proportion with 14/42
NeX [460]
It could be anything with same (equal ) results, 
We can reduce it or multiply a constant number, 
14/42 = 1/14 = 2/28

In short, Your Answer would be 1/14

Hope this helps!
7 0
3 years ago
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Use the discriminant to determine the number of real solutions to the quadratic equation.
MAVERICK [17]

Answer:

12x2+12x+1=0

Step-by-step explanation:

well first you need to add all the x's and add your additional numbers, keep all +'s signals and then minuse the addition numbers which makes your anserw negitive and then divide your ansew by your x.

3 0
3 years ago
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