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3 years ago

Let x2+11x=3 .

1 answer:

4 0

X= 3/13. First you need to combine like terms, which would make 13x, and your equation would be 13x=3. then divide both sides by 13 and your X equals 3/13.

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the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surfa

Elden [556K]

Answer:

i. Curved surface area = 2310 $cm^{2}$

ii. Total surface area = 3696 $cm^{2}$

iii. volume = 12936 $cm^{3}$

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2 $\pi$ r

132 = 2 $\pi$ r

r = $\frac{132}{2\pi }$

= $\frac{66}{\pi }$

r = 66 x $\frac{7}{22}$

= 3 x 7

= 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

$l^{2}$ = $h^{2}$ + $r^{2}$

= $28^{2}$ + $21^{2}$

= 784 + 441

= 1225

l = $\sqrt{1225}$

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = $\pi$ rl

= $\frac{22}{7}$ x 21 x 35

= 22 x 3 x 35

= 2310

curved surface area of the cone is 2310 $cm^{2}$ .

ii. Total surface area = $\pi r^{2}$ + $\pi$ rl

= $\pi$ r(r + l)

= $\frac{22}{7}$ x 21 (21 + 35)

= 22 x 3 x 56

= 3696

The total surface area of the cone is 3696 $cm^{2}$ .

iii. volume of a cone = $\frac{1}{3}$ $\pi r^{2}$ h

= $\frac{1}{3}$ x $\frac{22}{7}$ x $21^{2}$ x 28

= 12936

The volume of the cone is 12936 $cm^{3}$

5 0

3 years ago

Sarah had (x) dollars. Rachel had four times as much as Sarah. Addie had 10 dollars less than Sarah. How much money did they hav

Oduvanchick [21]

Answer:

5X - 10

Step-by-step explanation:

Sarah had X

Then, Rachael had 4X

And, Addie had X - 10

Total dollar = X + 4X + X - 10

= 5X - 10

6 0

3 years ago

Best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $108 for and 300 miles, while mary

IgorLugansk [536]

$\frac{108}{300 \: mi} \div \frac{?}{1 \: mi}$
$\frac{108}{300 \: mi} \div \frac{0.36}{1 \: mi}$
$\frac{0.36}{1 \: mi} = \frac{192}{600 \: mi}$
The above statement is false.
Therefore the prices cannot be determined.

5 0

4 years ago

The sum of two numbers is 310. The difference between the two numbers is 24. a. Find the smaller number, b. Find the greater num

Julli [10]

Answer:

143 and 167 hope this helps

7 0

3 years ago

Read 2 more answers

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles

Olin [163]

Answer: $24+3r\geq100$