I need part b do I divide by 6 or multiple by 6

Gnom [1K]

A good way to remember Pi would be 3.1459. You can remember it in a song or just simply repeat it until you can memorize it.

3 0

3 years ago

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ten selected students took a. altitude test out of the total score of 100 these students scored 60,50,50,70,40,80,65,55,50 and 9

ira [324]

Answer:

• mean = 61

• mode = 50

• median = 57.5

Step-by-step explanation:

• The mean is calculated by adding all the values together, and dividing the result by the number of values.

∴ mean = $\frac{60 + 50 + 50 + 70 + 40 + 80 + 65 + 55 + 50 + 90}{10}$

⇒ mean = $\frac{610}{10}$

⇒ mean = 61

• The mode of a set of values is the value that is the most common (has highest frequency) among them.

50 is the most common value.

∴ mode = 50

• The median is the middle-value of a set of ordered values.

∴ We have to first rearrange the set:

⇒ 40, 50, 50, 50, 55, 60, 65, 70, 80, 90

Now we need to find the middlemost value:

Since we have 10 values, which is an even number, we have to use the formula:

median = $\frac{(n/2)^{th} \space\ term \space\ + \space\ [(n/2) + 1]^{th} \space\ term }{2}$

where n is the number of values.

∴ median = $\frac{(10/2)^{th} \space\ term \space\ + \space\ [(10/2) + 1]^{th} \space\ term }{2}$

⇒ median = $\frac{5^{th} \space\ term \space\ + \space\ 6^{th} \space\ term }{2}$

The 5th and 6th terms in our ordered series are 55 and 60 respectively.

∴ median = $\frac{55 + 60}{2}$

⇒ median = 57.5

5 0

1 year ago

PLEASE HURRY!! WILL GIVE BRAINLIEST

inysia [295]

Trigonometric ratios are useful in calculating the side lengths of a triangle.

The length of the zip line is 222.5 ft
The height where the ladder rests against the tree is 38.6 ft
The distance between the base of the ladder and that of the tree is 10.4 ft
The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

(a) Length, z

First we calculate (h) using the following sine ratio

$\mathbf{sin(75) = \frac{h}{40}}$

Make h the subject

$\mathbf{h = 40sin(75)}$

Next, we calculate (z) using the following sine ratio

$\mathbf{sin(10)= \frac{h}{z}}$

Make z the subject

$\mathbf{z= \frac{h}{sin(10)}}$

Substitute $\mathbf{h = 40sin(75)}$

$\mathbf{z= \frac{40sin(75)}{sin(10)}}$

$\mathbf{z= 222.5 ft}$

Hence, the length of the zip line is 222.5 ft

(b) The height, h

In (a), we have

$\mathbf{h = 40sin(75)}$

Evaluate

$\mathbf{h = 38.6}$

Hence, the height where the ladder rests against the tree is 38.6 ft

(c) The distance, b

To do this, we make use of the following sine ratio

$\mathbf{sin(15) = \frac{b}{40}}$

Make b the subject

$\mathbf{b = 40sin(15)}$

$\mathbf{b = 10.4}$

Hence, the distance between the base of the ladder and that of the tree is 10.4 ft

(d) Distance, B

To do this, we make use of the following sine ratio

$\mathbf{sin(80) = \frac{B}{z}}$

Make B the subject

$\mathbf{B = z\ sin(80)}$

Substitute $\mathbf{z= 222.5 ft}$

$\mathbf{B = 222.5\ sin(80)}$

$\mathbf{B = 219.1}$

Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

Read more about trigonometry ratios at:

brainly.com/question/24888715

8 0

2 years ago

Find the perimeter of the quadrilateral in simplest form A quadrilateral has side lengths of 2 StartRoot 27 EndRoot inches, Star

Katen [24]

Answer: c on edge

Step-by-step explanation:

just finished

8 0

2 years ago

Read 2 more answers

I need this done by tonight!

ratelena [41]

Answer:

the answer is (x,y) = (6,6)

Step-by-step explanation:

1) first solve the equation for 2y

you should've gotten:

2y = -6 + 3x

5x - 2y = 18

2) substitute the value of 2y into the equation

5x - 2y = 18

so, 5x -(-6 + 3x) = 18

3) now solve 5x -(-6 + 3x) = 18

4) from that solving that equation, u should've gotten x = 6

5) now plug in 6 for x in the other equation, solve for y

( • stands for multiplication if u didn't know, we use this in higher levels of math so multiplication symbols and x variables aren't confused)

5 • 6 - 2y = 18

6) after solving for y in the previous equation, u should've gotten y = 6

7) now we know that x = 6 and y = 6, however it is always important to check if ur answer is correct by plugging in the x value y values u ended up with into the original system of equations.

checking ur work would look something like this:

2(6) = -6 + 3(6)

5(6) - 2(6) = 18

hope this helps <3

8 0

2 years ago