2 years ago

Are DEF and RPQ Congruent?

Mathematics

1 answer:

monitta2 years ago

6 0

I believe the answer is b.

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The bar graph shows how each month's rainfall compares to the historical average.

mina [271]

Answer:

a. The difference in rainfall is 4.03in

b. The total amount of rainfall for the year is negative, -1.73

Step-by-step explanation:

a. Wettest month 2.36in and dryest month -1.67in

2.36

-1.67

-------

4.03

b. -0.45 + -0.88 + 0.94 + -1.67 + -0.96 + 0.83 + 2.36 + 1.39 + 0.35 + -1.35 + -0.9 + -1.39 = -1.73

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2 years ago

2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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2 years ago

I got a bunch of questions under my account if someone just wants to do some work

Sliva [168]

Answer:

Alr

Step-by-step explanation:

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2 years ago

The product of three positive integers is 300. If one of them is 5, what is the

Elan Coil [88]

Answer and Step-by-step explanation:

So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.

First, we divide 300 by 5.

The result is 60.

Now, we take different (reasonable) numbers that add to 16:

10 and 6

12 and 4

We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.

#teamtrees #WAP (Water And Plant)

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3 years ago

Find x. Give your answer in the

garri49 [273]

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

7 0

2 years ago