I’m struggling with this question need some help

Mathematics

1 answer:

Sonbull [250]1 year ago

8 0

Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).

So, for the first prism, the height is 117/(4*6.5) = 4.5

Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75

So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches

You might be interested in

You deposit $2000 into an account that pays 6% compounded monthly. a. How much money will you have in the account after 1 year?

Masteriza [31]

We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:

$\begin{gathered} \text{account}_{\text{year}}=2000\cdot(1+\frac{6}{100})^{12} \\ \text{account}_{\text{year}}=4024.4 \end{gathered}$

The effective annual yield (EAY) will be:

$\text{EAY}=\frac{account_{year}}{2000}-1=\frac{4024.14}{2000}-1=1.0122$

The EAY is 101.22%

8 0

9 months ago

In preparing a certain ointment, a pharmacist used 28.35 g of zinc oxide instead of the 31.1 g called for. Calculate the percent

Vilka [71]

Answer: 9.70%

Step-by-step explanation:

The formula to find the percentage error is given by :-

$\%\text{ error}=\dfrac{|\text{Estimate-Actual}|}{\text{Actual}}\times100$

Given : Actual mass of zinc oxide used by pharmacist = 28.35 g

Estimated mass of zinc oxide used by pharmacist =31.1 g

Now, $\%\text{ error}=\dfrac{|31.1-28.35|}{28.35}\times100$

i.e. $\%\text{ error}=\dfrac{2.75}{28.35}\times100$

i.e. $\%\text{ error}=9.70017636684\approx9.70\%$

Hence, the percentage of error on the basis of the desired quantity.= 9.70%

5 0

3 years ago

4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the

Stels [109]

Using geometric sequence concepts, it is found that:

a) The rule is: $P_n = 750000(0.5)^{n-1}$ .

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

$a_1 = 750000, q = 0.5$ .