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2 years ago

Write the decimal as a percent: 0.89

Mathematics

2 answers:

tankabanditka [31]2 years ago

7 0

Answer:

89 as a percentage is 0.0089%

Paha777 [63]2 years ago

4 0

Answer:

0.0089

Step-by-step explanation:

Because when we want to change decimal as percents we need to replace the period on the left side 2 times. But when we want to change percent as a decimal, then we need to move the period 2 times on the right.

ex:

.72 decimal= 0.0072

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Expand: In (4a)^3<br> help please

Gala2k [10]

Answer: 3ln4 + 3lna

Step-by-step explanation:

$\ln (4a)^{3}\\=3 \ln 4a\\=3(\ln 4+\ln a)\\=\boxed{3\ln 4+3\ln a}$

4 0

1 year ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

3 years ago

Beaker A contains 1 liter which is 30 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which

alekssr [168]

Answer:

1.25 liters of oil

Step-by-step explanation:

Volume in Beaker A = 1 L

Volume of Oil in Beaker A = 1*0.3 = 0.3 L

Volume of Vinegar in Beaker A = 1*0.7 = 0.7 L

Volume in Beaker B = 2 L

Volume of Oil in Beaker B = 2*0.4 = 0.8 L

Volume of Vinegar in Beaker B = 1*0.6 = 1.2 L

If half of the contents of B are poured into A and assuming a homogeneous mixture, the new volumes of oil (Voa) and vinegar (Vva) in beaker A are:

$V_{oa} = 0.3+\frac{0.8}{2} \\V_{oa} = 0.7 \\V_{va} = 0.7+\frac{1.2}{2} \\V_{va} = 1.3$

The amount of oil needed to be added to beaker A in order to produce a mixture which is 60 percent oil (Vomix) is given by:

$0.6*V_{total} = V_{oa} +V_{omix}\\0.6*(V_{va}+V_{oa} +V_{omix}) = V_{oa} +V_{omix}\\0.6*(1.3+0.7+V_{omix})=0.7+V_{omix}\\V_{omix}=\frac{0.5}{0.4} \\V_{omix}=1.25 \ L$

1.25 liters of oil are needed.

6 0

3 years ago

What is the domain of g(x) = sqrt x +1

Shkiper50 [21]

There can be no negative in a sqrt
so x+1 must be equal or greater then 0
x+1 $\geq$ 0
x $\geq$ -1
so all answers must be greater then or equal to -1
-1,0,1,2,3,4,5,6,7,8
(-1,infinity) is the domain

7 0

3 years ago

Brad wants to buy flowers for his friend with $33. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies tha

Darina [25.2K]

Let x=the amount of roses that Brad buys. (x+3)=the number of daisies that Brad buys.

x+(x+3)=33

Simplify this problem to find the amount of roses:

2x+3=33

2x=30

x=15

So, Brad buys 15 roses and 18 daisies.

Since roses cost $3, 15*3=45.

The roses cost $45.

Hope this helps! :)

8 0

3 years ago