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dimaraw [331]
3 years ago
12

The diagram below represents a street intersection. The dashed lines are new streets that are being proposed. If the turn repres

ented by

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:

Step-by-step explanation:

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Which of these sequences is a geometric sequence?
podryga [215]
3, 9, 27, 81, 343, 729, … is a geometric sequence because each term is obtained by multiplying 3 to the preceding term.
7 0
3 years ago
Read 2 more answers
Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o
nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three  locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353

So distance AB is 74 metres.

5 0
3 years ago
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2 : Supp
Andru [333]

Answer:

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

Step-by-step explanation:

Estimate of the proportion of people who pass out at more than 6 Gs.

Number of people who passed out divided by the size of the sample.

We have that:

Sample of 502 people, 140 passed out at G forces greater than 6. So the estimate is:

p = \frac{140}{502} = 0.279

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

8 0
3 years ago
Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh
kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0
3 years ago
What is the value of x?​
WINSTONCH [101]

Answer:

\large\boxed{x=8\sqrt2}

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2

\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2

5 0
3 years ago
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