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Thepotemich [5.8K]
3 years ago
6

Hey can some one help me with this

Mathematics
2 answers:
mixer [17]3 years ago
8 0
The area of a rectangular surface is given by the product of its length and width. The total area Jake wants to paint is that of the four side walls and the ceiling. That is ...
  A = (8 ft)(14 ft) +(8 ft)(12 ft) +(8 ft)(14 ft) +(8 ft)(12 ft) +(14 ft)(12 ft)
  A = (8 ft)*2*(14 ft +12 ft) +(14 ft)(12 ft) . . . . rearranging to simplify a bit
  A = 2*(8 ft)(26 ft) +(14 ft)(12 ft)
  A = 416 ft² +168 ft²
  A = 584 ft²

6 pints of paint will cover 6*(90 ft²) = 540 ft², not quite enough. The next higher multiple of 90 ft² is 7*(90 ft²) = 630 ft², more than adequate.

Jake will need to purchase 7 pints of paint.


The cost of Jake's purchase will be 7*$7.98 = $55.86.
Leno4ka [110]3 years ago
3 0
Hello!

First you have to find the surface area of what he is painting

Finding the areas of all the rectangles he is painting

14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168

Add all these up

112 + 112 + 96 + 96 + 168 = 584

Divide this by the amount of area a pint of paint covers

584 / 90 = 6.4888...

He needs 7 pints of paint because he needs more than 6

Multiply this by the cost of 1 pint of pint

7 * 7.98 = 55.86

The answer is $55.86

Hope this helps!
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How many degrees does a minute hand of a clock turn through from 6:20 am to8:00 am on the same day ? A. 680 degrees B. 600 degre
Phoenix [80]

Answer:

B 600

Step-by-step explanation:

A clock is a circle with 12 equal sectors. A circle has 360 degrees so every time a minute hand number goes to another number it changes 30 degrees. After a full hour the time is 7 20 and it changes 360 degrees since the minute hand change over time was 12. 30x12=360.

Then it from 7 :20 and 8 00 the change 8 so is 30×8=240

360+240=600

3 0
3 years ago
Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t
omeli [17]

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one.  Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

3 0
3 years ago
A straight road crosses two parallel railway tracks. The angle between the road and the
Mumz [18]
<h3>Answer:  95 degrees</h3>

=======================================================

Explanation:

I recommend drawing it out to see what's going on. See the drawing below.

In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.

Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.

7 0
2 years ago
Point A is the midpoint of side XZ and point B is the midpoint of side YZ. Triangle X Y Z is cut by line segment A B. Point A is
AveGali [126]

Answer:

<h3>B. 4units</h3>

Step-by-step explanation:

Find the diagram attached. The diagram is a similar triangle.

From the diagram, XZ/XY = CA/AB

Given XZ = 2x-2+2x-2 = 4x-4

XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3)  =0

(x-3)(x-1) = 0

x = 3 and 1

Next is to get length AX.

Given AX = 2x-2

Substitute x = 3 into the expression

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence the measure of length AX is 4 units

4 0
2 years ago
Hillel is juggling flaming torches to raise money for charity. His initial appearence raises $500, and he raises $15 for each mi
7nadin3 [17]

Answer:

r(t) = 15t+500

Step-by-step explanation:

Since the amount of money (r) is a function of the time (t) we will make it the y-value.  t is how much time and he gets $15 a minute so we multiply t by 15.  500 is how much he gets paid for doing it.  If he showed up and just left, he would still get 500.

8 0
2 years ago
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