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Ne4ueva [31]
3 years ago
5

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, h  = 15 m

Radius of cylinder, r = z m (Labelled as z)

Volume of cylinder, V = 1696.5\ m^{3}

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

V = \pi r^{2} h

Where r is the radius of cylinder

h is the height of cylinder

Putting the values of V, r \text{ and } h:

1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m

Hence, The missing dimension, radius = 6.00 m

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What is the measure of angle R?
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Step-by-step explanation:

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3 years ago
Ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.​
Stells [14]

Answer:

150 Naira

Step-by-step explanation:

3 + 5 = 8

Since Ade receives in a 3 to 5 ratio, Ade receives 3/8 of the total.

3/8 × 400 = 150

Answer: 150 Naira

8 0
2 years ago
On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction
seraphim [82]

The correct option is (A). The solution of the equation is x=48.125.

Given an equation x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60.

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60

Now, we will simplify the right-hand side equation by taking LCM, we get

\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

96x=4620

Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60 is x=48.125.

Learn more about solution of equation from here brainly.com/question/1477785

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4 0
2 years ago
For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b
dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e^{0.053t} where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute H=4,000 in our given formula and solve for t as:

4,000= 1,500e^{0.053t}

\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}

\frac{8}{3}=e^{0.053t}

e^{0.053t}=\frac{8}{3}

Take natural log of both sides:

\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})

0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})

0.053t\cdot (1)=0.9808292530117262

\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}

t=18.506212320

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

2000+18.5=2018.5

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0
3 years ago
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