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satela [25.4K]
3 years ago
6

What is the supplement of angle 42°

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0
For you to get the complement of 42 degrees subtract 42 degrees from 90 degrees
48 degrees is complement of 42 degrees
Dmitrij [34]3 years ago
3 0
138 degrees is the answer cause 180-42 =138

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A house purchased for $230,000 has lost 6% of its value each year for the last four years. What is the house worth now?
lutik1710 [3]
You can use the compound growth to work this out,

Firstly you need to make a multiplier for -6%;
1-(6/100) = 0.94

The you times the amount of money by 0.94 to the power of 4 because you are working out 4 years:
230000*0.94^4 = 179527.26

The answer is $179527.26,
Hope this helps! :)
3 0
3 years ago
R = {10, 15, 20}
Umnica [9.8K]

Answer:

R n S = {20}

Step-by-step explanation:

n in sets means same elements found in the sets which are being compared

5 0
3 years ago
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.
Yuki888 [10]

Answer:

{1,3,5,7,9,11}

Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

(The dots mean it continues with that pattern forever and ever.)

And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

8 0
3 years ago
Read 2 more answers
-3x+4y=-4 -2x+5y=9<br>solve the following system of equations
Vesnalui [34]

the answer is x= 8, and y=5

3 0
3 years ago
Read 2 more answers
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