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3 years ago

A rectangle has a length of 12 cm and a diagonal of 13 cm. What is the width? *Hint: Draw a picture

Mathematics

1 answer:

Hitman42 [59]3 years ago

3 0

Answer:

width = 5cm

Step-by-step explanation:

hope it helps

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The distance from london to manchester is 199.9miles what is this to the nearest 10miles

Nadusha1986 [10]

Answer:

1,000 miles

Step-by-step explanation:

Maybe? Let me know if this helped

8 0

3 years ago

Read 2 more answers

This is a proportion. What is the value of X?

Verizon [17]

Answer:

x = 15 or x = - $\frac{2}{5}$

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - $\frac{2}{5}$

7 0

2 years ago

If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

As a salesperson, you are paid $52 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequali

ArbitrLikvidat [17]

Answer:

s≥16

Step-by-step explanation:

3s+52≥100

3s≥100-52

3s≥48

s≥48/3

s≥16

6 0

2 years ago

Ali has q quarters. Tom has four more quarters than Ali.

Anna35 [415]

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

7 0

2 years ago