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sp2606 [1]
3 years ago
13

2 PART QUESTION!!

Mathematics
1 answer:
Llana [10]3 years ago
4 0
Last answer for the first question and in not sure about the second one
You might be interested in
Find the value of x and pls explain!!❤❤❤
AlexFokin [52]

Answer:

x = 52 degrees.

Step-by-step explanation:

Here we make use of the fact that the interior angles of any triangle add up to 180 degrees.  Before this we must find an algebraic expression for interior angle RQS:  

Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.

The sum of the three interior angles is then

108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.

Then 232 - x = 180.  Solving for x, we get x = 52 degrees.

5 0
3 years ago
If there are 2,400 students,<br> 52% are boys and 48% girls. <br> What is the ratio of boy and girl?
jek_recluse [69]

Answer:

13:12

Step-by-step explanation:

52% 2400 = 1248

48% 2400 = 1152

Reduce to 13/12 = 13:12

4 0
4 years ago
Read 2 more answers
The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Alexxx [7]

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

8 0
3 years ago
What is the value of x in the equation 1,331x^4-216=0?
yarga [219]
The value of x will be obtained as follows:
1331x^4-216=0
1331x^4=216
divide through by 1331
x^4=216/1331
x=(216/1331)^(1/4)
x=(6^3/11^3)^(1/4)
x=(6/11)^(3/4)
8 0
3 years ago
A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
lions [1.4K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.

So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

3 0
3 years ago
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