Step-by-step explanation:
Let the painting's width be w inches and length be l inches.
w + 6 = 2l
w = 2l - 6 --(1)
2w + 2l = 84 --(2)
sub (1) into (2):
2(2l - 6) + 2l = 84
2l - 6 + l = 42
3l = 48
l = 16
when l = 16, w = 2(16) - 6 = 26
area of painting = lw = 16 x 26 = 416square inches
Therefore, only statements 1, 3 and 5 are true
Topic: Algebraic equations + Simultaneous linear equations
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Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles
<h3>How to find altitude using visibility formula?</h3>
The visibility formula is given as follows:
v = 1.225√a
where
- a = altitude
- v = visibility
Therefore,
v = 67.1 miles
v = 1.225√a
67.1 = 1.225√a
divide both sides by 1.225
√a = 67.1 / 1.225
√a = 54.7755102041
square both sides
√a² = √54.7755102041
a = 7.40104789878
a = 7.4 miles
learn more on visibility here: brainly.com/question/16166215
Answer:
a) 84π b) 109.2π
Step-by-step explanation:
The formula to find this is v=πr^2h/3
r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.
252/3=84
and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π
B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.
The probability that the next customer will pay with cash is 0.76
<h3>What is the probability?</h3>
Formula to find the probability of an event is:
P(A) = n(A)/n(S)
where;
n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment/survey
We are given that;
45 customers paid cash
8 customers used a debit card
6 customers used a credit card.
Thus, the total number of customers:
n(S) = 45 + 8 + 6
n(S) = 59
Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45
Therefore, the probability that the next customer will pay with cash would be;
P(A) = n(A)/n(S)
P(A) = 45/59
P(A) = 0.76
Read more about Probability at; brainly.com/question/23047865
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Answer:
2
Step-by-step explanation:
= 2.54545454.....
The repeating digits are 54 ← group of 2
