Balance from Bank Statement Outstanding Checks Deposits not yet Recorded

14 km 48 km What is the length of the hypotenuse? kilometers

Volgvan

14 km I don’t know somethings I have to do it hypothesis

5 0

3 years ago

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Help me pls due in 5 mins

Drupady [299]

Answer: $215\ cm^2$

Step-by-step explanation:

Given

Here the given figure can be divided into two shapes i.e. rectangle and a trapezium

For rectangle ABCD Area = $10\times8=80\ cm^2$

Area of trapezium CEFD Area is $\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}]$

$\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2$

Total shaded area $=80+135=215\ cm^2$

5 0

3 years ago

If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)

Lelu [443]

Hello :
If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
(f+g)(x)= f(x) +g(x) = x/2-2 +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5

4 0

4 years ago

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Find EXACT area of regular hexagon (keep in radical form)

pickupchik [31]

Answer:

1. $24\sqrt{3}$ 2. $162\sqrt{2}$

Step-by-step explanation:

1. The area of a hexagon is A = $\frac{3\sqrt{3} }{2} a^{2}$

Here our a is 4, so plugging in 4 to our equation gives $\frac{3\sqrt{3} }{2} (4^{2})$ which simplifies to $24\sqrt{3}$

2. The area of an octagon is $2\sqrt{2} r^{2}$

Here our r is 9, so plugging in 9 to our equation gives $2\sqrt{2} (9^{2} )$ which simplifies to $162\sqrt{2}$

6 0

4 years ago

Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

$=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}$

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

$\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}$

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

4 0

3 years ago

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