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Sergeeva-Olga [200]

3 years ago

6

Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measu

res 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?
A) 3
B) 3.5
C) 4
D) 4.5

1 answer:

mihalych1998 [28]3 years ago

8 0

The answer would be C. Multiply 4 and 8 which is 32 then divide that by 8 which equals 4.

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max and some friends shared the cost of a meal. The meal cost $51 and each person contributes $17. How many people share the cos

stiv31 [10]

Answer:

3 people

Step-by-step explanation:

$51/$17 = 3 people

- We know to start with $51 dollars because that is the total price of the meal.

- We also know each meal costs $17.

- Next, ask youself what we are trying to find? We are trying to find how many people are eating.

- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.

- $51/$17 = 3 people (whole cost/individual cost = # of people)

- To check this take 3 x 17 = 51 (Now we know it is correct)

- If you would like a further explanation please let me know.

5 0

3 years ago

A car rental company charges a base fee of $30 per day to rent a car, along with an additional $0.18 per mile driven. If George

sladkih [1.3K]

George's cost per day is

... c = 30 + 0.18m

We want c < 55, so we can write

... 30 + 0.18m < 55 . . . . . your inequality

_____

Here is the solution to the inequality

... 0.18m < 25

... m < 25/0.18

... m < 138.9

George must drive less than 138.9 miles that day.

3 0

3 years ago

Read 2 more answers

fair coin is tossed three times. What is the probability that all three tosses land on heads,given that:(a) the first toss lands

maxonik [38]

Answer:

(a) The probability that all three tosses land on heads given that the 1st toss lands on Heads is $\frac{1}{4}$ .

(b) The probability that all three tosses land on heads given that at least one toss lands on heads is $\frac{1}{7}$ .

Step-by-step explanation:

The sample space of tossing 3 coins is:

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} = 8 outcomes.

(a)

The sample space such that the 1st toss lands on Heads is:

S₁ = {HHH, HHT, HTH, HTT} = 4 outcomes.

The probability that all three tosses land on heads given that the 1st toss lands on Heads is:

P (3 Heads | 1st toss is Heads) = $\frac{P(3\ Heads\ \cap \ 1st\ toss\ is\ Heads)}{P(1st\ toss\ is\ Heads)}$

$=\frac{\frac{1}{4} }{\frac{4}{8} } \\=\frac{1}{8}\times \frac{8}{4}\\ =\frac{1}{4}$

Thus, the probability that all three tosses land on heads given that the 1st toss lands on Heads is $\frac{1}{4}$ .

(b)

The sample space such that at least one toss lands on heads is:

S₂ = {HHH, HHT, HTH, THH, HTT, THT, TTH} = 7 outcomes

The probability that all three tosses land on heads given that at least one toss lands on heads is,

P (3 Heads | At least 1 Heads) $=\frac{P(3\ Heads\ \cap\ At\ least\ 1\ Heads)}{P( At\ least\ 1\ Heads)}$

$=\frac{\frac{1}{7} }{\frac{7}{8} } \\=\frac{1}{8}\times \frac{8}{7}\\ =\frac{1}{7}$

Thus, the probability that all three tosses land on heads given that at least one toss lands on heads is $\frac{1}{7}$ .

4 0

3 years ago

9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cab

dexar [7]

Answer:

791.2 ft

Step-by-step explanation:

The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.

$H=\sqrt {x^{2}+y^{2}}$

where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then

$H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft$

6 0

4 years ago

Read 2 more answers

I need help with this question

vichka [17]

Answer:

12

step by step explanation:

-22+34=12

8 0

4 years ago