What is the radian measure of an angle equal to 225 ?

forty yards of fabric are used to make 9 school banners. how many yards of fabric does banner use? between what 2 whole numbers

saul85 [17]

Answer:

4 4/9,4 and 5

Step-by-step explanation:

6 0

2 years ago

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A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in

lana [24]

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

$P(Bedroom) = 0.4$

$P(Kitchen) = 0.1$

$P(Bathroom) = 0.2$

$P(Living\ room) = 0.15$

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

$Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)$

$Probability = 1 - 0.85$

$Probability = 0.15$

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

$Probability = P(Bedroom) + P(Kitchen)$

$Probability = 0.2 + 0.1$

$Probability = 0.3$

6 0

2 years ago

What is the mean of 20,12,29,15,49

Vinil7 [7]

Answer: the mean is 25

Step-by-step explanation:

to find the mean you basically add all the numbers up and divide them by how many numbers there r. so 20+12+29+15+49= 125 and then you divide 125 by 5 because there are 5 numbers and you get 25

6 0

2 years ago

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Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bike

amid [387]

Answer:

Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.

Let us find distance covered by Taylor.

$\text{Distance}=\text{Speed*Time}$

$\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}$

$\text{Distance covered by Taylor}=12.5*3\text{ Miles}$

$\text{Distance covered by Taylor}=37.5\text{ Miles}$

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

$\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}$

$\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}$

Now let us find speed at which Anya rode bike.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}$

$\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}$

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

6 0

2 years ago

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Stells [14]

Here, the surface area, in square units, of the triangular prism is 152 units².

We know that the area of any triangle can be calculated as

Area = 1/2 * base * height

The area of any rectangular figure can be calculated as

Area = length * width

Here, the length of the rectangular portion of the prism is 8 units.

The width of the lowermost rectangle is 5 units.

The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²

Again the width of the middle rectangle is 6 units.

So, the area of the middle rectangle = 6 * 8 units² = 48 units²

Now, the height and base of the triangles are 4 and 6 respectively.

So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²

Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²

Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.

Learn more about the area here -

brainly.com/question/3867236

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3 0

1 year ago

What is the radian measure of an angle equal to 225 ? ​

What is the radian measure of an angle equal to 225 ?