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marusya05 [52]
3 years ago
11

The hospital is 3.1 miles west of the fire station. What is the length of straight line between the school and the hospital? Rou

nd to the nearest tenth. Enter your answer in the box.
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

2.1 miles

Step-by-step explanation:

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cestrela7 [59]

The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

<u>Explanation:</u>

We need to find the time at which the ball will be at height 19 feet.

Equation:

h = 3 + 34t - 16t²

19 = 3 + 34t - 16t²

16 = -16t² + 34t

-16t² + 34t - 16 = 0

On solving the equation, we get

t1 = 0.7 s and t2 = 1.42s

Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

4 0
3 years ago
For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m
torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

<u />

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $17,474.00
  • P = $7,790.00
  • r = 15% = 0.15
  • n = 12
  • t = number of years

Substitute the given values into the formula and solve for t:

\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}

\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)

\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}

\implies \sf t=5.419413037...\:years

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0
2 years ago
Read 2 more answers
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'?
Mademuasel [1]

Answer:

the anser is 7 :)

Step-by-step explanation:

5 0
3 years ago
Please help and explain the question is in the picture
Digiron [165]

Answer: 123 square feet

Step-by-step explanation: The question is a little odd, but I can break it down easily. It wants us to find the area of a three foot border around his room.

First, the whole area of his room is 20 x 24 = 480

Next, we have to make the measurements 3 feet smaller on each wall, so 17 x 21 = 357

Finally, to find the area of the border, we simply do 480 - 357 = 123

He needs to buy 123 square feet of carpeting

Hope this helps!

8 0
3 years ago
Read 2 more answers
If  the three angles  of  a quadrilateral are 120,  130, 10 then the fourth angle is​
Aloiza [94]

Answer:

100

Step-by-step explanation:

120 + 130 + 10 = 260

360 - 260 = 100

4 0
3 years ago
Read 2 more answers
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