Find the surface area of each solid figure

A ball is thrown into the air with an initial velocity of 22 meters per second.

lbvjy [14]

Answer:

27.4 metres

Step-by-step explanation:

Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5

= -4.9(3)^2+22(3)+5.5

= 27.4

At 3 seconds the ball is 27.4 metres above the ground.

8 0

3 years ago

Carrie borrowed $960 in interest free to pay for a car repair. She will pay $120 monthly until the loan is paid off. How many mo

astraxan [27]

Answer:

It will take Carrie 8 months to pay off the loan

Step-by-step explanation:

Step 1: Determine the expression for total amount to be paid

T=m×n

where;

T=total amount to be payed

m=total payments per month

n=number of payments to be made

In our case;

T= $960

m= $120

n=unknown

replacing;

960=120×n

120 n=960

n=960/120

n=8 months

It will take Carrie 8 months to pay off the loan

6 0

3 years ago

Simplify 30x-140-(x-4)

balu736 [363]

Answer:

x = 4.7

Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

Add/subtract

29x - 136 = 0

+136

$29x = 136$

$\frac{29x}{29} = \frac{136}{29}$

$x = 4.689655172413793$

8 0

4 years ago

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

$\alpha =2arccos(\frac{5}{7})=88.83$

$A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2$

4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

$At=\frac{\pi }{4} (14ft)^2=153.93ft^2$

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

$\frac{116.36}{153.93} *100=75.6$

percentage of the total capacity is 75.6%

3 0

3 years ago

PLEASE HURRY. 55P WRONG ANSWERS GET REMOVED!!!!!!!

sertanlavr [38]

Answer:

1172. 08 in²

Step-by-step explanation:

Hi there !

A(prism) = 2(lw + lh + wh) - Ab(cylinder)

= 2(16*11 + 16*11 + 11*11) - πr²

= 2(176 + 176 + 121) - 3.14*16

= 2*473 - 50.4

= 946 - 50.24

= 895.76 in²

A(cylinder) = πr² + 2πr*h

= 3.14*16 + 2*3.14*4*9

= 50.24 + 226.08

= 276.32 in²

A(total) = 895.76in² + 276.32in² = 1172.08 in²

Good luck !

6 0

3 years ago