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3 years ago

How do you make 'a' the subject of the formula: ab - cd = ac

1 answer:

3 0

First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a'
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

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What is the volume of the square pyramid with base edges 54 yd and slant height 45 yd?

Effectus [21]

The answer is V = 34,992 y^3

You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).

To manually compute, get the h (height) first before computing for V (volume).

h^2 = l^2 - (s/2)^2 : l (slant height), s (base edge/side)
h = √((45^2) - (54/2)^2)
h = 36

Then find V (volume) : s (side), h (height)

V = 1/3 (s^2)(h)
V = 1/3 (54^2)(36)
V = 34,992 y^3

7 0

3 years ago

Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have

mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

$P =\dfrac{48}{52} = 0.92$

4 0

2 years ago

The area of a bulletin board is 55 ft2. The length is nine feet less than four times the width. Find the length and the width, i

galben [10]

Answer:

The length and width are 11ft and 5ft respectively

Step-by-step explanation:

let the

length = L

Width = W

Area = LW = 55

The length is nine feet less than four times the width

L = 4W - 9

W (4W - 9) = 55

4W^2 - 9W -55 = 0

4W^2 - 20W + 11W - 55 = 0

4W(W - 5) + 11(W - 5) = 0

(W - 5)(4W + 11) = 0

W - 5 = 0 , 4W + 11=0

W = 5 or - 11/4

since the width cannot be negative, W = 5

LW = 55

L = 55/5

L = 11

The length and width are 11ft and 5ft respectively.

7 0

3 years ago

If a coin is flipped 3 times what is the probability of getting heads at least once

Sergio [31]

Answer: 1.5 times

3 flips divided by 2 sides of a coin would be 1.5

this could be wrong

3 0

2 years ago

Read 2 more answers

Which of the following points IS a solution to the system: y > - 3x + 4 / y > 2x / - y < 7 Selected answer is not corre

Lady bird [3.3K]

Answer:

Solution : Third Option

Step-by-step explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.

$\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}$

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

6 0

3 years ago