Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)
= 258 (yd2)
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Hence if we covert 28,500,000 in scientific notation and write in the form then x is equal to 7.
What is scientific notation?
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Given number is 28500000
we can write 28500000 as
or we can write it as
and now we can write it in Scientific notation form as
So x=7
Hence if we covert 28,500,000 in scientific notation and write in the form then x is equal to 7.
To learn more about scientific notation visit : brainly.com/question/5756316
Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
Answer:
29.4≤μ≤32.6
Step-by-step explanation:
The datas given from the questions are as shown:
Number of people n = 24
Mean xbar= $31
Standard deviation σ = $6
Confidence Interval formula is expressed as:
CI = xbar ± Z(σ/√n)
Z value for 80% confidence interval is 1.282
Substituting the values into the Confidence Interval formula will give;
CI = 31 ± 1.282{6/√24}
CI = 31 ± 1.282(1.225)
CI = 31 ± 1.57045
CI = 31+1.57045 and 31-1.57045
CI = (29.42955, 32.57045)
CI = (29.4, 32.6) to 1dp
The confidence interval will be within the range 29.4≤μ≤32.6
The water in the tank is decreasing at a rate of 2 gallons per minute.