MATHEMATICS MIDDLE SCHOOL

An airplane traveling at 400 mph at a cruising altitude of 7.2 mi begins its descent. If the angle of descent is 1 degree from the horizontal, determine the new altitude after 15 minutes. Round to the nearest tenth of a mile.

Answers

Answer 1

Answer:

New altitude = 5.5 miles

Step-by-step explanation:

We are given;

Velocity = 400 m/h

Angle of descent = 1°

Altitude = 7.2 miles

Time = 15 minutes = 15/60 hours = 0.25 hours

Now, the downward component of its speed is;

Vy = (400)sin(1°)

Vy = 6.98 mph

After a time t, its height will be;

h(t) = (7.2 - 6.98t) miles, for t = hours

We are given;t = 0.25 hrs

Thus;

h(0.25) = 7.2 - (6.98*0.25) miles

h(0.25) = 5.46 miles

h(0.25) ≈ 5.5 miles to the nearest tenth

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Ramil and Carly collected the honey from 4 of his beehives. From the first hive collected 1/3 gallons of honey. The last hives yielded 1/4 gallon each. How many gallons of honey did Ramil and Carly collect in all?

Answers

Answer:

We know that:

First hive gave 1/3 gallon.
The other three hives gave 1/4 gallon each.

To find the total gallons of honey, we just have to sum all of it.

$H=(1)/(3)+(1)/(4)+(1)/(4)+(1)/(4)\nH=(1)/(3)+3(1)/(4)\nH=(1)/(3)+(3)/(4)\nH=(4+9)/(12)=(13)/(12)$

As a mixed number:

$(13)/(12)=1(1)/(12)$

Therefore, Carly collected 1 and 1/12 gallons. Or, 1.08 gallons in total.

(536363636363)(6363637373)(0)

Answers

0. Anything multiplied by 0 is 0.

Anything that you use to multiply with a zero you answer overall is going to be a zero

Solve for x, I tried but I don’t think I did it right.

Answers

Answer:

x = 1

Step-by-step explanation:

You got it right but you need to solve for x

8x(8x + 6x) = 7(7+9)

8x(14x) = 7(16)

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LAST QUESTION TODAY!! 1/3 of 18 is....? Thanks so much

Answers

Answer:

Step-by-step explanation:

1/3 x 18 = 6

18 x 1/3 = 18/3, which is 6

How do you write 10,458,340 in exsapanded form

Answers

Ten-million, four-hundred and fifty-eight thousand, three-hundred and forty.

10,000,000+400,000+50,000+8,000+300+40+0

Use the Distributive Property to rewrite the expression. –6(r– 8)

Answers

-6(r - 8) Original Mathematical Expression.

-6 * r + - 6 * -8 Distribute.

-6r + 48 Multiply.

48 - 6r Switch around expression.

Answer: -6r + 48 or 48 - 6r

Distributive property simplifies a expression.

-6(r-8)

(-6*r) - (8*-6)

-6r + 48

Final answer: -6r + 48

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