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Agata [3.3K]
3 years ago
12

Evaluate: -1 2/5 ÷ 14/15

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

Step-by-step explanation: Turn the mixed number into an improper fraction. -1 2/5 becomes -7/5.  To divide fractions, you keep the first fraction, change the division sign to mulitplication and flip the second fraction.  Then just multiply across the top and across the bottom. You will get 105/70.  Reduce by dividing both numerator and denomination by 35   Result will be 3/2.

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If two angles are supplementary and congruent, what is the measure of each angle?
matrenka [14]

Answer:

90

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

8 0
2 years ago
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Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
What is the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6?
mr_godi [17]
Hello : 
<span>the equation all lines passes through (-5, -1) is :
y - (-1) = m(x -(-5))   m the slope
if this line parallal </span><span>to the line y=4x-6 so : m= 4  (same slope )
</span><span>the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6:    is  : 
</span> y+1 =4(x+5)
y = 4x +19

8 0
2 years ago
Which is equivalent to sqrt x^10<br> A. X-5<br> B. X -1/5<br> C. X sqrt 10<br> D. X 1/5<br> E. X^5
Lesechka [4]
<h3>Answer:  E) x^5</h3>

\sqrt{x^{10}} = x^5

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is \sqrt{a^b} = a^{b/2}

A more general rule is

\sqrt[n]{a^b} = a^{b/n}

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

5 0
2 years ago
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Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last mon
amm1812

Answer:

I think she used 180 tablespoons of butter this month.

Step-by-step explanation:

7 0
3 years ago
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