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diamong [38]
3 years ago
9

a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 19 feet mor

e than the length of the shortst side. find the dimensions if the perimeter is 187 feet
Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Let's assume

shorter side as x

so, first side =2x

third side =x+19

now, we can find perimeter of triangle

perimeter of any triangle is

first side + shortest side + third side

so, we get

P=2x+x+x+19

we are given perimeter=187

so, we can set it to 187

and then solve for x

187=2x+x+x+19

187=4x+19

4x+19-19=187-19

4x=168

x=42

so,

shortest length is x=42 feet

First side =2x=2*42=84feet

third side =x+19=42+19=61 feet

so, dimensions are

first side is 42 feet

second side is 84 feet

third side is 61 feet................Answer

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The slope of the line below is -4. Which of the following is the point-slope
vodka [1.7K]

Answer:

y+2= -4(x-8)

Step-by-step explanation:

6 0
1 year ago
Suppose that administrators of a large school district wish to estimate the proportion of children in the district enrolling in
11Alexandr11 [23.1K]

Answer:

95% z-confidence interval for the proportion of all children enrolled in kindergarten who attended preschool is between a lower limit of 0.528 and an upper limit of 0.772.

Step-by-step explanation:

Confidence interval = p + or - zsqrt[p(1-p) ÷ n]

p is sample proportion = 39/60 = 0.65

n is the number of children sampled = 60

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Divide significance level by 2 to obtain critical value (z)

0.05/2 = 0.025 = 2.5%

z at 2.5% significance level = 1.96

zsqrt[p(1-p) ÷ n] = 1.96sqrt[0.65(1-0.65) ÷ 60] = 1.96sqrt[0.2275 ÷ 60] = 1.96sqrt(3.792×10^-3) = 1.96×0.062 = 0.122

Lower limit = p - 0.122 = 0.65 - 0.122 = 0.528

Upper limit = p + 0.122 = 0.65 + 0.122 = 0.772

95% confidence interval is between 0.528 and 0.772

5 0
2 years ago
the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per
attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0
2 years ago
HELP<br> i suck at this and dont understand so its really helpfull if you explain it
xxTIMURxx [149]

Answer:add the area of all 3 faces then label them length width height then use the formula SA=2lw+2lh+2hw, and u wil get ur awnser

Step-by-step explanation:

hopefully this helps

8 0
2 years ago
How just how do you do this?
vlabodo [156]
You need to get y alone for both equations. for x-y=7, you subract x from both sides. (giving you -y = 7 - x) then, multiply the whole equation by -1 to make the y positive, which gives you y = x - 7.
here is the system in y intercept form so you can graph it easier:
*y = x - 7
*y = x + 4
5 0
3 years ago
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