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3 years ago

A triangle can be formed with side lengths 5, 7 and 10. True False

Mathematics

1 answer:

marysya [2.9K]3 years ago

4 0

Answer:

TRUE

Step-by-step explanation:

it is an obtuse scalene triangle, watch the picture.

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A farmer has a water tank for cows in the shape of a cylinder with a radius of 7 ft and a height of 3 ft. The tank comes equippe

natima [27]

Answer:

volume of the tank be when the sensor turns on = 92.316 ft³

Step-by-step explanation:

Volume of a cylinder = πr²h

Pi = π = 3.14

Radius = r = 7 ft

Height = h = 3 ft

Volume of a cylinder = πr²h

= 3.14 × 7² × 3

= 3.14 × 49 × 3

= 461.58 ft³

The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.

volume of the tank be when the sensor turns on = 20% of Volume of a cylinder

= 0.20 * 461.58 ft³

= 92.316 ft³

volume of the tank be when the sensor turns on = 92.316 ft³

5 0

3 years ago

What is the surface area of a cube that has a side length of 2.2 meters?

zubka84 [21]

Answer:

the answer is c 29.04 meters squared

Step-by-step explanation:

first you multiply 2.2 by 2.2 to get 4.84 then you multiply that by 6 to account for all of the faces

5 0

2 years ago

Read 2 more answers

According to exponent rules, when we multiply the expressions with like bases we ________ the exponents

notsponge [240]

Answer:

A. Add

have a nice day :)

3 0

3 years ago

What is the unit multiplier for inches and feet

Sveta_85 [38]

Answer:

Step-by-step explanation:

Inches÷12=Feet

Feet·12=Inches

3 0

4 years ago

The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a

mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let X = the waiting time for the bus at the parking lot.

The random variable X is uniformly distributed with parameters a = 0 to b = 15.

The probability density function of X is given as follows:

$f_{X}(x)=\frac{1}{b-a};\ a$

(a)

The standard deviation of a Uniformly distributed random variable is given by:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

Compute the standard deviation of the random variable X as follows:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

$=\sqrt{\frac{(15-0)^{2}}{12}}$

$=\sqrt{\frac{225}{12}}$

$=\sqrt{18.75}\\=4.33$

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

$X=2\times SD=2\times4.33=8.66$

Compute the value of P (X > 8.66) as follows:

$P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\$

$=\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\$

$=\frac{1}{15}\times |x|^{15}_{8.66}\\$

$=\frac{15-8.66}{15}\\$

$=0.4227$

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0

3 years ago