Solve:

Please help me, I know it’s not the first one but I think it’s the last one. Can somebody please confirm or deny?

GaryK [48]

Answer:

B. 2.2π m² : 3.2π m²

Step-by-step explanation:

Given:

Slant height (l) = 2.2 m

Diameter (d) = 2 m

Radius (r) = ½(2) = 1 m

Required:

Lateral area and surface area

Solution:

✔️Formula for lateral area of a cone = πrl

Plug in the values

Lateral area of the cone = π*1*2.2

Lateral area = 2.2π m²

✔️ Formula for surface area of a cone = πr(l + r)

Plug in the values

Surface area of the cone = π*1(2.2 + 1)

Surface area = π(3.2)

Surface area = 3.2π m²

The answer would therefore be:

2.2π m² : 3.2π m²

7 0

3 years ago

How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int

s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

$A= Pe^{rt}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously , $A=1000e^{3.7\times5/100}$

⇒ $A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013$

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

$A=P(1+\frac{r/4}{100} )^{4t}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, $A=1000(1+\frac{3.7/4}{100} )^{4\times5}$

⇒ $A=1000(1+\frac{3.7}{400} )^{20}$

⇒ $A= 1202.19567617$

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228

4 0

3 years ago

Read 2 more answers

A salesman has a car for sale for $5000. He decides to increase the price by 40%. When no one buys the car, he decreases the new

Amiraneli [1.4K]

Answer:

0 because it fell apart after he glued it togheter

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How do you solve for #23

Bingel [31]

5 is you answer because absolute value is the distance on a number line from 0

8 0

3 years ago

What are the factors of 5x2 + 39x − 8?

prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:

Multiply the 5 and -8 = -40: this is what we will factor
The factors with add to 39 are 40 and -1.
Set up the problem:

$5x^{2}+39x-8 = 5x^{2}+40x-x-8$

Now, we can fo the math:

$5x^{2} -8 = 5x^{2} -8$

8(5x - 1) + x(5x - 1)

Factor (5x - 1) from this:

(5x - 1)(x + 8)

And we have our answer.

4 0

3 years ago