3 years ago

In a class of 31 pupils, 19 like apples, 15 like oranges and 4

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

34 “pupils” like both apples and oranges

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Find the volume of the triangular prism

gulaghasi [49]

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

V = Bh where B is the area of the base and h is the height

first we need to find the area of the base

The base is the triangle

We need to find the base dimension for the triangle

34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

= 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

3 0

3 years ago

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

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The total points scored in a basketball game can be calculated using the expression 3c + 3. If c = 41, how many points total wer

natima [27]

Answer: 126

Step-by-step explanation: substitute c for 41 and simplify

7 0

3 years ago

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X^5=16<br> what does x equal?

Alex777 [14]

it could be 5 root 16? im not sure

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3 years ago

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Equivalent expression for 7a+21

Mila [183]

Answer:

Step-by-step explanation:

If you factor the expression 7a+21 you can get:

7 × (a+3)

6 0

3 years ago