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ella [17]
3 years ago
10

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm3, find the volume of the

larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

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1.
Margarita [4]

Answer:

The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Step-by-step explanation:

The quadratic function h(t) = -4.9t^2 + 22t + 5.5 represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.

To find h(3), substitute t = 3 into the function expression:

h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

5 0
4 years ago
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the
Vika [28.1K]

Answer:

The value of the test statistic is t=1.12.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.

The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.

The difference between sample means is Md=0.64.

M_d=M_1-M_2=2.65-2.01=0.64

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1.72^2+1.89^2}{20}}\\\\\\s_{M_d}=\sqrt{\dfrac{6.531}{20}}=\sqrt{0.327}=0.571

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12

5 0
4 years ago
In this triangle, the product of tan A and tan C is _________
s344n2d4d5 [400]

we know that

tan(45\°)=1

in this problem

tan (A)=tan(C)=tan(45\°)=1

therefore

tan (A)*tan(C)=1*1=1

<u>the answer is the option A</u>

1

6 0
3 years ago
Find the distance between (3, 4) and (-5, 8) <br> A) 4√5 B) 2 √35 C) 2 √3 D) √14
il63 [147K]

Answer:A) 4√5

Step-by-step explanation:

The formula for determining the distance between two points is expressed as

d = √[(x2 - x1)^2 + (y2 - y1)^2]

Where

d is the distance between the two points.

x2 represents the final value of x on the horizontal axis.

x1 represents the initial value of x on the horizontal axis.

y2 represents the final value if y on the vertical axis.

y1 represents the initial value of y on the vertical axis.

From the information given,

y2 = 8

y1 = 4

x2 = -5

x1 = 3

d = √[(- 5 - 3)^2 + (8 - 4)^2]

d = √(-8^2) + 4^2 = √64+16

d = √80

d = 4√5

6 0
3 years ago
Simplify the expression:<br><br> 5x + 8 – 13y – 4x – 18 + 16y
aleksandrvk [35]

\text{Hey there!}

\text{Simply the equation: 5x + 8 - 13y - 4x - 18 + 16y}

\text{First you have to combine the \bf{like-terms}}

\text{5x-4x = 1x}

\text{-13y + 16y = 3y}

\text{8 + (-18) = -10}

\boxed{\boxed{\bf{Answer: 1x + 3y - 10}}}\checkmark

~\frak{LoveYourselfFirst:)}

4 0
4 years ago
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