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3 years ago

What is the value of the expression

Mathematics

2 answers:

podryga [215]3 years ago

6 0

The answer would be 143/30 but u might have to simplify it

charle [14.2K]3 years ago

5 0

5 5/30 is the answer to the question.

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How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

3 years ago

(9CQ) Find the distance from the balloon to the soccer fields.

almond37 [142]

Answer:

The distance from the balloon to the soccer fields = 3.6 miles ⇒ answer (b)

Step-by-step explanation:

* Let the hot air balloon at point A , the soccer fields

at point B and the football field at point C

∵ The measure of the angle of depression to the

soccer fields is 20° 15'

∴ The measure of angle B = 20° 15'

∵ The measure of the angle of depression to the

football field is 62° 30'

∴ The measure of angle C = 62° 30'

∵ The sum of measures of the interior angles of any triangle = 180°

∴ The measure of angle A = 180 - (20° 15' + 62° 30') = 97° 15'

* The distance between the balloon and the soccer field

is represented by the side AB of triangle ABC

- Use the sin Rule to find the length of side AB

∵ a/sin(A) = b/sin(B) = c/sin(C)

- a is the side opposite to angle A, b is the side opposite

to angle B and c is the side opposite to angle C

∵ AB = c ⇒ opposite to angle C

∵ The distance between the two fields = 4 miles

∴ BC = 4 miles

∵ BC = a ⇒ opposite to angle A

∴ 4/sin(97° 15') = c/sin(62° 30')

∴ c = (4 × sin(62° 30')) ÷ sin(97° 15')

∴ c = 3.6 miles

∴ The distance from the balloon to the soccer fields = 3.6 miles

answer (b)

4 0

3 years ago

What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5,9.1)?

umka21 [38]

(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.

4 0

3 years ago

Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they h

Dafna1 [17]

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

At the beginning:

Stephen = x trees

Alice = x + 12 trees

At the end:

Alice = (x + 12) - 4 trees

Stephen = x + 10 trees

Total = 36

Then

$((x+12)-4)+(x+10)=36\\ \\(x+12-4)+(x+10)=36\\ \\(x+8)+(x+10)=36\\ \\x+8+x+10=36\\ \\2x+18=36\\ \\2x+18-18=36-18\\ \\2x=18\\ \\x=9$

Stephen - 9 trees

Alice - 9 + 12 = 21 trees

8 0

3 years ago

Read 2 more answers

Please help Thank yoy

BabaBlast [244]

Answer:

I think its graph 4

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers