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1 year ago

Find the volume of the cylinder.

Mathematics

1 answer:

monitta1 year ago

4 0

Answer:

3.14×5(2)×6=471.24

Step-by-step explanation:

you have to take square of 5

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Slope of (-7,-2) (9,4)

Olenka [21]

Answer:

m= $\frac{3}{8}$

Step-by-step explanation:

1. Use the slope equation to solve the problem

$\frac{y_{2} -y_{1}}{x_{2} -x_{1} }$

2. Plug in your values into the equation.

$\frac{4-(-2)}{9-(-7)}$

3. Simplify the equation.

m= $\frac{3}{8}$

4 0

2 years ago

Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac

dangina [55]

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

$A=P(1+\dfrac{r}{12})^{t}$

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

$130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69$

Hence he need to invest $107,836.69 .

8 0

2 years ago

What is the height in meters of a person who is 6 ft 1.0 in. tall? (assume that 1 meter equals 39.37 in.)?

Romashka [77]

1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch

The height of the person in inch is = 72+1 = 73 inch

1 meter.............39.37 in
x meters.......... 73 in

x = 73/39.37 = 1.85 meters

8 0

3 years ago

A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?

ella [17]

Answer:

$x=11$

Step-by-step explanation:

We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.

We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.

$\text{Area of trapezoid}=\frac{(a+b)}{2}\times h$ , where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.

Upon substituting our given values in above formula we will get,

$63=\frac{7+x}{2}\times 7$

$63=(7+x)*3.5$

Upon dividing both sides of our equation by 3.5 we will get,

$\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}$

$18=7+x$

Let us subtract 7 from both sides of our equation.

$18-7=7-7+x$

$11=x$

Therefore, the value of x is 11 units.

5 0

2 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

2 years ago