Answer:
10x + 50 = 90; 4 hours
Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total charge
we know that
The total charge is equal to the number of hours multiplied by the rate of $10 per hour plus a flat fee of $50
so
The linear equation that represent this problem is
For y=$90
substitute in the equation and solve for x
Subtract 50 both sides
Divide by 10 both sides
therefore
10x + 50 = 90; 4 hours
The answer is 45°
By determining the angles of triangle ACB (A=30°, B=45°, C=105° (total of 180°)) and knowing that angle 1 correlates to angle 4 ((1)°=(4)°), we can find angle 1, which is 45°, equal to angle 4.
Answer:
10 / 16
Step-by-step explanation:
10/16
5 x 2 = 10
8 x 2 = 16
For this problem we just have to add the underground growth(1.25) to the above ground growth(8.5)
1.25+8.5= 9.75 units
Answer:
302 cm²
Step-by-step explanation:
To find the surface area of the figure, find the area of each face and add them together.
<u>The cube</u>
There are 9 faces for the 2 cubes on top of the blue prism. Each face measures as 2cm by 2 cm. The area of one face is A = 2*2 = 4 cm². Since there are 9 faces, the surface area of the cubes is 9*4 = 36 cm².
<u>The rectangular prism</u>
There are 6 faces for the blue prism. Four of the faces measure 11 cm by 5 cm. Two of the faces measure 5cm by 5 cm. Find the area by multiplying each face's measurements.
11*5 = 55
Four faces: 4*55 = 220 cm²
5*5 = 25
Two faces: 2*25 = 50 cm²
All together the surface area of the figure is 36 + 220 + 50 = 306.
However notice that the cube sits on top of the blue prism and covers up a portion of the face. The area it covers is 4 cm². Subtract 306 - 4 = 302.