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Slav-nsk [51]
3 years ago
8

6. This box plot shows the number of minutes passengers spent in a station waiting room. What is the range of times spent in the

waiting room? 7. This box plot shows the number of minutes passengers spent in a different station waiting room. What is the inter-quartile range of times spent in the waiting room? 8. This box plot shows the lengths of leaves (in centimeters) collected by a botanist. Express the minimum length as a percentage of the maximum length. 6 points if correct​

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

For 6, 30. For 7, 20. And for 8, 15.

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Factor using a GCF:<br> ​ 16xy2+28xy+8y
Lorico [155]

Answer:

4y( 4xy + 7x +2)

Step-by-step explanation:

16xy^2+28xy+8y

16xy^2 =2*2*2*2*x*y*y

28xy = 2*2*7 *x*y

8y = 2*2*2*y

The common factors are 2*2*y = 4y

2*2*2*2*x*y*y + 2*2*7 *x*y+2*2*2*y

2*2*y( 2*2*x*y + 7 *x+2)

4y( 4xy + 7x +2)

7 0
3 years ago
Given a 30-60-90 triangle with a long leg of 9 inches, determine the length of the hypotenuse
lianna [129]

A Quick Guide to the 30-60-90 Degree Triangle

The 30-60-90 degree triangle is in the shape of half an equilateral triangle, cut straight down the middle along its altitude. It has angles of 30°, 60°, and 90°. In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.

Note: The hypotenuse is the longest side in a right triangle, which is different from the long leg. The long leg is the leg opposite the 60-degree angle.

Two of the most common right triangles are 30-60-90 and the 45-45-90 degree triangles. All 30-60-90 triangles, have sides with the same basic ratio. If you look at the 30–60–90-degree triangle in radians, it translates to the following:

30, 60, and 90 degrees expressed in radians.

The figure illustrates the ratio of the sides for the 30-60-90-degree triangle.

A 30-60-90-degree right triangle.

A 30-60-90-degree right triangle.

If you know one side of a 30-60-90 triangle, you can find the other two by using shortcuts. Here are the three situations you come across when doing these calculations:

Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.

Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.

Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

In the triangle TRI in this figure, the hypotenuse is 14 inches long; how long are the other sides?

Because you have the hypotenuse TR = 14, you can divide by 2 to get the short side: RI = 7. Now you multiply this length by the square root of 3 to get the long side:

The long side of a 30-60-90-degree triangle.

6 0
3 years ago
A boat is heading towards a lighthouse, whose beacon-light is 145 feet above the water. The boat’s crew measures the angle of el
GREYUIT [131]

Answer:

The ship's horizontal distance from the lighthouse is approximately  1,303.03 feet.

Step-by-step explanation:

3 0
2 years ago
Direction: Transform each pair of equations into slope-interaction form (y=mx + b) and identify slope (m) and y-intercept (b). W
Lunna [17]

Answer:

will I write the answer in the copy and show you

7 0
3 years ago
Read 2 more answers
Helppp please needed before tomorrow!!!!!!!!!!​
mel-nik [20]

Answer:

The function is 200+50t (t= # of months)

Step-by-step explanation:

The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.

3 0
2 years ago
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