MATHEMATICS HIGH SCHOOL

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer 2

Answer:

Answer:

55 i believe

28 + 27 = 55

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HeLpPLZZZ (Edge). Which line on the graph represents the information in the table? Cost of Pencils Number of Pencils Total Cost (in $) 2 0.50 4 1.00 6 1.50 8 2.00 On a coordinate plane, the x-axis is labeled Number of pencils and the y-axis is labeled total cost in dollars. Line a goes through points (1, 4) and (2, 8). Line b goes through points (1, 2) and (2, 4). Line c goes through (2, 1) and (4, 2). Line d goes through (4, 1) and (8, 2). line a line b line c line d

Answers

Answer:

Line D- (4, 1) and (8, 2).

Step-by-step explanation:

The table representing the information is given below:

$\left|\begin{array}{c|c}$Number of Pencils(x)&$Total Cost(in $)(y)\n----&----\n2&0.50\n4&1.00\n6&1.50\n8&2.00\end{array}\right|$

On the coordinate plane, the x-axis is labeled Number of pencils and the y-axis is labeled total cost in dollars.

Therefore, any point that matches with the (x,y) pair on the table represents the information in the table.

Only Line D matches with the pair (4,1) and (8,2)

Answer:

Line D

Step-by-step explanation:

What is the quotient of 2/3 ➗ 5?

Answers

2/3 divided by 5

2/3 divided by 5/1

2/3 x 1/5

=2/15

Indra baked and frosted a rectangular cake to sell at a bake sale for the Model UN club. The cake, including frosting, was 4 inches high, 16 inches wide, and 12 inches long. She centered the cake on a circular tray. The circular tray had a radius of 10 inches. What is the area, to the nearest square inch, of the tray that is not covered by the cake?A. 100
B. 114
C. 122
D. 314
E. 192

Answers

Answer:

C. 122

Step-by-step explanation:

Given,

Dimension of the cake:

Length = 12 in Width = 16 in Height = 4 in

We have to find out the area of the tray that is not covered by the cake.

Indra centered the cake on a circular tray.

Radius of the tray = 10 in.

So area of the tray is equal to π times square of the radius.

Framing in equation form, we get;

Area of tray = $\pi* r^2=3.14*{10}^2=3.14* 100=314\ in^2$

Since the cake is placed in circular tray.

That means only base area of cake has covered the tray.

Base Area of cake = $length* width=12* 16=192\ in^2$

Area of the tray that is not covered by the cake is calculated by subtracting area of base of cake from area of circular tray.

We can frame it in equation form as;

Area of the tray that is not covered by the cake = Area of tray - Base Area of cake

Area of the tray that is not covered by the cake = $314-192=122\ in^2$

Hence The area of the tray that is not covered by the cake is 122 sq. in.

The surface area of a square pyramid is found using the formula 2003-05-05-00-00_files/i0080000.jpg, where b is the length of the base and h is the height. The surface area of a square pyramid whose base is 3 feet long is 51 2003-05-05-00-00_files/i0080001.jpg. What is the height of the pyramid, in feet?

Answers

Given:
base = 3 ft
surface area = 51 ft²
height = ?

surface area of a square pyramid = B + 1/2 nbl

n = number of triangle
b = base measure
l = slant height

51 ft² = (3ft)² + 1/2 * 4 * 3ft * l
51 ft² = 9ft² + (4*3ft / 2) l
51 ft² - 9 ft² = 12ft/2 * l
42 ft² = 6 ft * l
42 ft² / 6 ft = l
7 ft = l

height of the pyramid is 7 feet.

A water tank can hold 234 cubic meters of water. How many gallons can the water tank hold?A. 61,776 gallons
B. 6,176 gallons
C. .886 gallons
D. 23,400 gallons