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yanalaym [24]
3 years ago
6

A school bus has 825 students and 55 teachers. How many students are there per teacher?

Mathematics
1 answer:
icang [17]3 years ago
4 0
Divide 825 by 55 to find 15 students per teacher.

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Can someone help me find x
Viefleur [7K]

Answer:

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

Step-by-step explanation:

We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, x, and its hypotenuse 10 in. To find x, we are using the trig function that relates  the opposite side with the hypotenuse; in other words, the sine trig function.

sin\alpha =\frac{opposite}{hypotenuse}

sin(35)=\frac{x}{10}

x=10sin(35)

x=5.735764364

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

4 0
3 years ago
A dog pen in the shape of a rectangle is to be built using one wall of a house as a side. If 132 feet
diamong [38]
This is a very poorly written question. im assuming the house wall is at least 130 ft since there is no information given about it.

each set of side lengths has three elements, the long side and the two short sides. we're asked to list all whole number possibilities so start anywhere, the two short sides being 1ft
(1 1 130). the long side has to be the difference of 132 and the length of both short sides.

the area is one of the short sides times the ling side, in the first case 1*130=130 sqft

continuing the list

(2 2 128) area=256
(3 3 126) area=378
(4 4 124) area=496
(5 5 122) area=610

the short sides increase by 1, the long side decreases by 2, the area gets bigger, but the difference between the areas are 4 less each time. dividing the first difference, 122, by 4 will give us a number to make a better guess from.

122÷4=30.5

so lets try

(30 30 72) area=2160

lets try 31 and see if that gives a smaller area

(31 31 70) area = 2170

(32 32 68) area =2176

(33 33 66) area = 2178

(34 34 64) area = 2176

so the area is decreasing now which means the maximum area is found when thw long side is 66 feet and the short sides are 33 feet.

as far as listing all possibilities, you see the pattern i started, i leave the rest to you
6 0
3 years ago
Must Just one match to fix the equation ?<br> 6 + 4 = 4
zhannawk [14.2K]

Answer:

6 + 4 × -2/4 = 4

Step-by-step explanation:

hi hope u understand

3 0
3 years ago
Read 2 more answers
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra
Sergeu [11.5K]

Answer:

r=\sqrt{10}\text{ m}

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

V=\pi r^2h, where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be h = 0.7 meters at V=22\text{ m}^3.

Upon substituting these values in above formula, we will get:

22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})

22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}

\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2

r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}

r^2=10\text{ m}^2

Now, we will take positive square root of both sides as radius cannot be negative.

\sqrt{r^2}=\sqrt{10\text{ m}^2}

r=\sqrt{10}\text{ m}

Therefore, radius of tank would be approximately square root of 10 m.

5 0
3 years ago
Factor *<br> (x^2/9)- 64
Hoochie [10]

Step-by-step explanation:

We use

a ^{2}  -  \times ^{2}  = (a -  \times )(a +  \times )

Now we have

\frac{ { \times }^{2} }{9}  - 64 = ( \frac{ \times }{3} ) ^{2}  -  {8}^{2}  \\  = ( \frac{ \times }{3}  - 8)( \frac{ \times }{3}  + 8)

Hope that useful for you

5 0
3 years ago
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