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3 years ago

14

What is five thirds of a right angle

1 answer:

scoray [572]3 years ago

5 0

Angle is 90 degrees, so five-thirds of a right angle is 90*5/3=450/3=150 degrees.

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In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?

anygoal [31]

Answer:

(b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

6 0

2 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

2 years ago

Read 2 more answers

I need to see the steps for simplifying 3(m-5)+m

grigory [225]

Answer:

4m - 15

Step-by-step explanation:

a( x + y) = ax + ay

$3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15$

4 0

2 years ago

Read 2 more answers

(help)Name the intersection of the two planes in the image below.

serg [7]

Answer:

XZ

Step-by-step explanation:

The intersection of the 2 planes is along the line XZ

3 0

2 years ago

When the car moves forward by 180cm , each wheel does one full turn . What is the diameter of the wheels to the nearest cm?

Sav [38]

Since 180cm is one full turn you divide it by pie which is 3.14

=180/3.14

=180/3 (Rounded down)

=60

3 0

2 years ago