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liraira [26]
3 years ago
7

Find the volume of the oblique prism

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
Volume = 12 * area of triangular base

area of triangle = 1/2 base * height = 3 * height
                        height = sqrt(5^2 - 3^2)  = 4

area of triangle = 4*3 = 12

Vol  of prism = 12*12 = 144  cubic units
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What is 2+2+?+10+?-2+9=?
Dennis_Churaev [7]

2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21

ANSWER: ? = -21

P/s: ? = x < let ? is x >

ok done. Thank to me :>

3 0
2 years ago
Find the 92nd term of the arithmetic sequence 11, 19, 27,
fgiga [73]

Answer:

739

Step-by-step explanation:

a sub 92 = 11 + (92 - 1) * 8

a sub 92 = 11 + 728

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5 0
3 years ago
How would you solve these 2 maths problems?
sweet-ann [11.9K]

Answer:

see explanation

Step-by-step explanation:

(9)

Expand and simplify right side and compare coefficients of like terms on left side.

(x - 2)(x² + ax + b) + c

= x³ + ax² + bx - 2x² - 2ax - 2b + c

= x³ + x²(a - 2) + x(b - 2a) - 2b + c

compare with

x³ + 2x² - 3x + 4

x² terms

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a = 4

x terms

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constant terms

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c = 14

Thus a = 4, b = 5 and c = 14

-------------------------------------------------

(10)

Since both functions cross the x- axis at - 2 then (- 2, 0) satisfies both, that is

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and

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- 16 - 8(a + 3) - 92 - 2(b + 10) + 40 = 0

- 16 - 8a - 24 - 92 - 2b - 20 + 40 = 0

- 8a - 2b - 112 = 0

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Subtract (1) from (2) term by term

- 6b = 168 ( divide both sides by - 6 )

b = - 28

Substitute b = - 28 into (2)

- 8a + 56 = 112 ( subtract 56 from both sides )

- 8a = 56 ( divide both sides by - 8 )

a = - 7

Thus a = - 7 and b = - 28

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3 years ago
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marysya [2.9K]
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6 0
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m_a_m_a [10]
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