MATHEMATICS HIGH SCHOOL

The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid. a. ( 48 + 48 $\pi$ ) $cm^(2)$
b. ( 48 + 15 $\pi$ ) $cm^(2)$
c. ( 48 + 30 $\pi$ ) $cm^(2)$
d. ( 24 + 15 $\pi$ ) $cm^(2)$

Answers

Answer 1

Answer:

Answer:

100πcm².

None of the options is correct

Step-by-step explanation:

Total surface area of a cone $S$ = $\pi r^(2)+\pi rl\n$

Since the diagram is half of a cone, its surface area will be $S = (\pi r^(2) +\pi rl)/(2)$

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

$S = (\pi (8)^(2) +\pi (8)(17))/(2)\nS = (64\pi + 136\pi )/(2) \nS = 32\pi + 68\pi \nS = 100\pi cm^(2)$

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Please help! Asap! (Photo)

Answers

Answer: 1 true 2 false

Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong

You spent $7 more than you had. Write an integer to represent this? Would it be -7?

Answers

Answer:

The required integer would be $-7$ .

Step-by-step explanation:

We have been given that you spent $7 more than you had. Write an integer to represent the given situation.

Since you spent $7 more than your savings, so your account will be debited with $-$7$ .

Therefore, the integer $-7$ represents the given situation.

that would be correct

Which option is a function

Answers

(x,y)
for every x there is exatly 1 y
basically, x never repeats with a differnt y

first one works, no x's repeart

2nd is not, 1 repeats wwth 9 and -4

3rd is correct

4th is wrong, 0 repreats with 3 and 7

5th is correct

so the functions are 1st 3rd 5th

I need to know. is this a function? yes or no? y = 1/4x

Answers

Answer: Yes y=1/4x is a function because it crosses through the orgin once, Straight through the middle. Plus it's linear slope of 4.

Answer:

yes it is a function it crossed the x

the area of a rectangle is given by 6x²+19x+15. if x represents 4m, what are the dimensions of the length and width of the rectangle?

Answers

Answer:

Length = 17m

Width = 11m

Step-by-step explanation:

Expression for the area of the rectangle = 6x² + 19x + 15

Factorising the quadratic expression

6x² + 19x + 15 = (6x² + 9x) + (10x + 15) = 3x(2x + 3) +5(2x + 3) = (3x + 5)(2x + 3)

x = 4m

Length = 3x + 5 = 3(4) + 5 = 12 + 5 = 17m

Width = 2x + 3 = 2(4) + 3 = 8 + 3 = 11m

Solve the following equation for x, in terms of an and b. Enter the numerator of the fraction in blank 1 and the denominator in blank 2 and 3. X=_/_- , _

Answers

Answer:

I can help you solve the equation for x, in terms of a and b. Here are the steps and the results:

To solve the equation for x, we need to isolate x on one side of the equation and simplify the expression on the other side, we can write:

x + a = b x = b - a

Therefore, the solution for x is x = b - a. This is a fraction with numerator b - a and denominator 1. To enter the answer in the blanks, we can write:

x = b - a / 1 - , _

I hope this helps you understand how to solve equations for x. If you have any questions, please let me know.

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