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4 years ago

PLz help.

Mathematics

2 answers:

Ahat [919]4 years ago

5 0

Answer:

a=6cm

Step-by-step explanation:

Semmy [17]4 years ago

4 0

Answer: $6\ cm$

Step-by-step explanation:

Given : The formula for the volume of a cube is :

$V=s^3$

The volume of a cube = $216\ cm^3$

Substitute V= 216 in the above formula , we get

$216=s^3$

Taking cube root on both the sides , we get

$\sqrt[3]{216}=s\\\\\Rightarrow\ s= \sqrt[3]{6^3}=6$

Hence, the side length of cube= $6\ cm$

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If 3sinA+4cosA=5 then find the value of cosA

deff fn [24]

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum

sin(A+B) = 1 => A & B are complementary

cos(A) = sin(B) = 4/5

8 0

3 years ago

William invested $12,000 in a bank account that pays 9 percent simple interest. His friend invested the same amount at another b

yarga [219]

<h3>Answer: B) 1.0 year</h3>

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Explanation:

We have these two functions

f(t) = 12(1.02)^(4t)
g(t) = 12(1.09)t

which represent the amounts for his friend and William in that order. Strangely your teacher mentions William first, but then swaps the order when listing the exponential function as the first. This might be slightly confusing.

The table of values is shown below. We have t represent the number of years and t starts at 0.5. It increments by 0.1

The f(t) and g(t) columns represent the outputs for those mentioned values of t. For example, if t = 0.5 years (aka 6 months) then f(t) = 12.48 and that indicates his friend has 12,480 dollars in the account.

I've added a fourth column labeled |f - g| which represents the absolute value of the difference of the f and g columns. If f = g, then f-g = 0. The goal is to see if we get 0 in this column or try to get as close as possible. This occurs when we get 0.09 when t = 1.0

So we don't exactly get f(t) and g(t) perfectly equal, but they get very close when t = 1.0

It turns out that the more accurate solution is roughly t = 0.9925 which is close enough. I used a graphing calculator to find this approximate solution.

It takes about a year for the two accounts to have the same approximate amount of money.