All categories

4 years ago

Can anyone help me with this problem? Thank you.

Mathematics

1 answer:

taurus [48]4 years ago

3 0

Answer:

Step-by-step explanation:

1. +/- sqrt(1 - sin^2) = cos(theta)

2 1/cos(theta) = sec(theta)

You might be interested in

Suppose a figure is located in Quadrant I. Which of the following sequences will result in an image that is located in Quadrant

lesantik [10]

Answer:

So option b is right.

Step-by-step explanation:

Given that a figure is located in Quadrant I.

The figure is transformed and the image is located in quadrant iv.

We have to select the option which would have resulted in this.

A) rotating 360 degrees would result in the same place i.e. I quadrant hence wrong.

B) rotating 180 degrees counterclockwise, will make y coordinate negative but x coordinate will remain as it is.

Hence we get image in the IV quadrant.

THis option is correct

C) Rotating90 degrees counterclockwise will not transform all the coordinates to the IV quadrant hence wrong

D) Rotating 270 degrees counterclockwise would make the image in III quadrant hence wrong

So option b is right.

5 0

4 years ago

An insurance agent says the standard deviation of the total hospital charges for patients involved in a crash in which the vehic

lisov135 [29]

Let the null hypothesis be that the agent's claim is correct. Using a standard normal probability table we find:
$p-value=P(Z \ \textgreater \ 1.1)=0.14$
The p-value 0.14 is much larger than alpha = 0.01, so we cannot reject the agent's claim.

7 0

3 years ago

The ages of the student volunteers at an event are 13, 11, 12, 15, 16, 11, 12,

aliya0001 [1]

Answer:The mean is 13

Step-by-step explanation:

Add all up and divide by 10 because there are 10 numbers

6 0

3 years ago

Read 2 more answers

Help me please ......,,,,

xz_007 [3.2K]

Answer:

Step-by-step explanation: for #1 its 6

for #2 it 12

#3 is 818

#4 is 423

#5 is 87

#6 is 500

hope this helped!

3 0

3 years ago

Read 2 more answers

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

3 years ago