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Tamiku [17]
3 years ago
12

13s - r^2; if r = 9 and s = 6

Mathematics
2 answers:
FromTheMoon [43]3 years ago
8 0

Answer:

27

Step-by-step explanation:

r = 9

s = 6

r^2

= r x r

= 9 x 9

= 81

13s

= 13 x 6

= 108

13s - r^2

= 108 - 81

= 27

Tcecarenko [31]3 years ago
3 0

Answer:

27

Step-by-step explanation:

✌️❤️✌️

............

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Michael saves $423 dollars a month for college.
alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

\text{Actual amount saved}=\$423\times 48

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

423\approx 400\\\\48\approx 50

\text{Actual amount saved}=\$400\times 50

\text{Actual amount saved}=\$20,000

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

5 0
3 years ago
A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle w
tamaranim1 [39]
<h3>Answer:</h3>

30 ft; 0.4 min

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you ...

... Sin = Opposite/Hypotenuse

Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...

... Hypotenuse = Opposite/Sin

Filling in the values from this problem, we have ...

... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft

The time it takes to travel that distance is given by ...

... time = distance/speed

... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min

3 0
3 years ago
Suppose you want to know how fast you traveled from the park to the library. As you moved, your speed varied from second to seco
frutty [35]

Step-by-step explanation:

In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.

If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.

Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours

Now, using formula of speed = distance/time

v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h

It means that the average speed of the person is 4 km/h. Hence, the given statement is true.

6 0
3 years ago
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