What is the distance to the earth’s horizon from point P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

To find the lateral area of a prism, we calculate the combined area of its vertical rectangular faces, excluding the top and bottom faces. This prism has dimensions of 3m x 6m x 15m. It has two pairs of congruent rectangular faces: one pair with dimensions 3m x 15m and the other with dimensions 6m x 15m. The area of each face is determined by multiplying its length by its height. For the first pair of faces, the area is 3m * 15m = 45 square meters each. Similarly, for the second pair, the area is 6m * 15m = 90 square meters each. Adding these areas together (2 * 45 + 2 * 90), we get a lateral area of 270 square meters.

Complete answer;

find the lateral area of the prism 3m 6m 3m 6m 15m

Answer:

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Step-by-step explanation:

From the diagram, B has coordinates [tex](-5,0)[/tex].

We want to find the coordinates of B' after a translation by the rule;

[tex](x,y)\rightarrow(x+5,y-2)[/tex],

We apply the rule to obtain;

[tex]B(-5,0)\rightarrow B'(-5+5,0-2)[/tex],

This implies that;

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Therefore the correct answer is B

Answer:

\text{If QR is tangent to circle then m}\angle PQR=90^o

\text{We can use the converse of Pythagorean theorem}

8\ and\ 4\sqrt3\\\\check:\ 4^2+(4\sqrt3)^2=8^2\\16+16\cdot3=64\\16+48=64\\64=64\ -O.K.\\\\2\ and\ 4\sqrt2\\\\check:\ 4^2+2^2=(4\sqrt2)^2\\16+4=16\cdot2\\20=32\ -FALSE\\\\3\ and\ 5\\\\check:\ 3^2+4^2=5^2\\9+16=25\\25=25\ -O.K.\\\\2\ and\ 2\sqrt5\\\\check:\ 4^2+2^2=(2\sqrt5)^2\\16+4=4\cdot5\\20=20\ -O.K.\\\\6\ and\ 10\\check:\ 4^2+6^2=10^2\\16+36=100\\52=100\ -FALSE

\text{Answer:}\boxed{8\ and\ 4\sqrt3;\ 3\ and\ 5;\ 2\ and\ 2\sqrt5}

10.

\text{Look at the pictures}

\text{Therefore}\\\\C=2\cdot8+2\cdot16+2\cdot9+2\cdot6=16+32+18+12=78cm

Other\ method:\\C=2\cdot(8+16+6+9)=2\cdot39=78cm

Step-by-step explanation:

Answer:

one triangle

Step-by-step explanation:

Let the digits of the 3 digit number be [tex] x-2,x,x+2 [/tex]. where [tex] x [/tex] is an integer greater than 1. It is given that the sum of the 3 digits is 15. Hence,

[tex] x-2+x+x+2=15\\
3x=15\\
x=5 [/tex]

Thus the digits are [tex] 3,5,7 [/tex].

Therefore, the number is [tex] 357 [/tex].

We assume that the digits of the number is increasing from the 100th place.

Final answer:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. If we assume a success rate of 35 percent, approximately 82 raptors were successful that year.

Explanation:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. The success rate is between 35 and 40 percent. So, if we assume a success rate of 35 percent, we can calculate the number of successful raptors as follows:

Number of successful raptors = 35% of 234 raptors

Number of successful raptors = 0.35 * 234

Number of successful raptors = 81.9

Rounding to the nearest whole number, approximately 82 raptors were successful in 2015.

Nina will need 3 rows and 3 columns of square tiles. She will use 9 color tiles in total to cover the square.

To determine how many rows and columns of square tiles Nina needs, and how many color tiles in total she will use, let's break down the problem step by step:

1. Width and Height of the Square:

2. Rows and Columns Calculation:

  Since the square has 3 tiles across the top, and assuming the square is symmetric (same number of tiles in width and height):

3. Total Number of Color Tiles:

To find out how many color tiles Nina will use in total, calculate the area of the square:

Area of the square = [tex]\( \text{Number of rows} \times \text{Number of columns} \)[/tex]

Area = [tex]\( 3 \times 3 = 9 \)[/tex] color tiles

Therefore:

Nina will need 3 rows and 3 columns of square tiles.

She will use 9 color tiles in total to cover the square.

We have been given that the cost to start the sandwich stand is $230.

Now, the cost of one sandwich is given by $4.25

Also, it has been given that total 75 sandwiches sold.

Thus, the cost of 75 sandwiches is given by

[tex]75 \times 4.25\\ \$ 318.75[/tex]

Now, the sandwich stand cost $230 and the earning in selling of 75 sandwiches is $ 318.75.

Therefore, the profit is given by

[tex]318.75-230 =\$88.75[/tex]

Hence, I can make $88.75 on selling of 75 sandwiches.

t will represent temperature  

t > -15°

Answer:

review and revisions

Step-by-step explanation:

To find the arc length when the central angle is 139 degrees, multiply the fraction of the circle that the angle represents (139/360) by the circle's circumference formula (2πr), where r is the radius.

Calculating Arc Length with a Known Central Angle

To calculate the arc length when the central angle is 139 degrees, you need to know the radius of the circle. The arc length, As, is the distance traveled along the circumference of a circle as the radius is rotated through a given angle. Since there are 360 degrees in a full revolution, a central angle of 139 degrees represents a fraction 139/360 of the full circle.

The circumference of the entire circle is given by the formula 2πr, where r is the radius. Therefore, the arc length can be calculated by multiplying the fraction of the circle represented by the angle (in this case, 139/360) by the total circumference. The formula to determine the arc length As is:

As = (139/360) × 2πr

By knowing the radius and the central angle, you can substitute these values into the formula to find the arc length for any circular path.

Secrecy (also called clandestinity or furtiveness) is the practice of hiding information from certain individuals or groups who do not have the "need to know", perhaps while sharing it with other individuals. That which is kept hidden is known as the secret.

Answer - C

Add 4530 + 540 + 400 = 5470