All categories

2 years ago

The perimeter of rectangle is 294 cm. The width is 57 cm. Find the length.

1 answer:

4 0

The perimeter of a rectangle is length + length + width + width (also know as the distance around the whole shape) so an equation like this can be written:

294 = 57 + 57 + 2l (as in the length times two, or length + length)

294 = 114 + 2l

180 = 2l

90 = l

So the length of this rectangle is 90

You might be interested in

Consider the expressions 12 + 4y and 4( y + 3 )what is the value of each expression when y = 5

Neko [114]

Answer:

Both expressions equals to 32.

Step-by-step explanation:

You just plug in 5 for each expression: 12+4(5)=32, 4(5+3)=32.

4 0

2 years ago

Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested $\$400$

Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$

5 0

2 years ago

In G(n) = 6(0.5)n-1, what is the first term of the sequence?

Rashid [163]

I would say B, but don't quote me on it

3 0

2 years ago

What's -3+(0+9) ?? <br> I need to know by tonight

Crank

The answer is 6.
To do this, remember PEMDAS?
You would first have to add what is in the parenthesis THEN do -3 + 9 to get 6.

6 0

2 years ago

Read 2 more answers

Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

5 0

2 years ago