All categories

2 years ago

Volume =160.875m, length =6.5m, height =5.5m, breadth =?

Mathematics

2 answers:

lara31 [8.8K]2 years ago

7 0

Answer:

4.5m

Step-by-step explanation:

v=lbh

b=v/lh

= 160.875/(6.5×5.5)

=160.875/35.75

=4.5m

mestny [16]2 years ago

5 0

Answer:

b = 4.5 m

Step-by-step explanation:

Since we have 2 sides of the shape and the total volume, we can easily find the measurement of the third side which is the breadth by:

volume = 160.875

v = l×h×b

160.875m=(6.5m)×(5.5m)×b

160.875m=35.75b

b = 4.5 m

You might be interested in

Tasha invests in an account that pays 1.5% compound interest annually. She uses the expression P(1+r)t to find the total value o

zhenek [66]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 1.5\%\to \frac{1.5}{100}\to &0.015\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &5
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.015}{1}\right)^{1\cdot 5}\implies A=3000(1.015)^5\implies A\approx 3231.852$

5 0

2 years ago

Read 2 more answers

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of

muminat

Answer:

When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>

Step-by-step explanation:

As per the given statement:

The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a function.

The function that models the scenario is:

$f(h) = -2(h-4)^2 +22$ ......[1]

where

f(h) represents the company's profit

h represents the number of helicopters produced per week.

It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.

Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week

⇒ $f(1) = 4$ and $f(4) = 22$

we have to find when 6 helicopters are produced weekly, the company profit is;

⇒ h = 6 helicopters

Substitute this value in [1] to solve for f(6);

$f(6) = -2(6-4)^2 +22$

= $-2(2)^2 +22 = -2 \times 4 + 22 = -8 + 22 = 14$

Therefore, the company profit is, 14 thousand dollars.

4 0

2 years ago

Read 3 more answers

A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Anoth

algol [13]

Answer: the right answer is

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.

The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.

The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.

Step-by-step explanation:

e d g e n u i t y and it says check all that apply ,it was not (A).

5 0

2 years ago

Read 2 more answers

A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that angle AD

Valentin [98]

Refer to the diagram shown below.

Let x = m∠ADB.

Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°

Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°

Answer:
m∠BDC = 61°
m∠ADB = 29°