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3 years ago

Find the sum of 4.5 x 10^-1and the quotient of 7x10^-4 and 8x10^-3

Mathematics

1 answer:

eduard3 years ago

5 0

Answer:

4.5=9+8=10 cause we subbed

8+9=17

Step-by-step explanation:

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Find the value of the angle θ rounded to 1 DP.

kogti [31]

Answer:

Step-by-step explanation:

Sin 21 = $\frac{opposite side}{hypotenuse}$

Sin 21 = $\frac{BC}{15}$

0.3583 = $\frac{BC}{15}$

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = $\frac{opposite side}{adjacent side}$

Tan ∅ = $\frac{4}{5.37}= 0.7448$

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

5 0

2 years ago

(x+y)×(x+y) tell me the answer

lys-0071 [83]

The answer is x2 + 2xy + y2.

4 0

3 years ago

Read 2 more answers

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th

irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: $FV=P(1+r)^n$

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: $r=\frac{0.09}{2}=0.045$

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

$FV=1540(1+0.045)^{12}$

$FV=1540(1.045)^{12}$

$FV=1540(1.69588)$

$FV=2611.6552$

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0

3 years ago

Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de

Travka [436]

Let x = width
x+1 is then the length

2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)

3 0

3 years ago

5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation

kirza4 [7]

We want to find the value that makes

$P(X\ge x)=0.2$

To find it we must look at the standard normal table, using the complementary cumulative table we find that

$P(Z\ge z)=0.20045\Leftrightarrow z=0.84$

Then, using the z-score we can find the minimum score needed, remember that

$z=\frac{x-\mu}{\sigma}$

Where

σ = standard deviation

μ = mean

And in our example, x = minimum score needed, therefore

$\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}$

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0

1 year ago