Calculate the value of OK.

Mathematics

1 answer:

spin [16.1K]3 years ago

3 0

For this similar trapezoids we can write

|MH|/|RS| = |AT|/|OK|

4/17 = 2/|OK|

|OK| = 2*17/4 = 8.5

|OK|=8.5

You might be interested in

So help me if its this guy who s p a m s bitly or a person who wants f r ee points I will r e p or t them until they are b a n n

Luda [366]

Answer:
B. (1,-4)
Explanation in picture

7 0

3 years ago

Read 2 more answers

the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1

mixas84 [53]

$\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}$

Since this can't happen, let's suppose that P=150, then:

$\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}$

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

$\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}$

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

$\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}$

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

6 0

2 years ago

At the beach roger built a sand castle that was 2and 2/8 feet high if he added a flag that was 2 and 1/4 feet high what is the t

kvasek [131]

let's firstly convert the mixed fractions to improper fractions and then sum them up.

$\bf \stackrel{mixed}{2\frac{2}{8}}\implies \cfrac{2\cdot 8+2}{8}\implies \stackrel{improper}{\cfrac{18}{8}}~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{18}{8}+\cfrac{9}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)18+(2)9}{8}}\implies \cfrac{18+18}{8}\implies \cfrac{36}{8}\implies \cfrac{9}{2}\implies 4\frac{1}{2}$