Math Ic Helpp Questions!!

Test Preparation SAT Subject Test Preparation
1

<p>i have a couple of questions that im struggling with ! i really need you guys to help me answer them :)</p>

<ul>
<li><p>in a right angle triangle PQR ( PQ has a length of 6 the others are blank)
SIN P = 0.5. What is the length of side QR ??
A.2
B.3
C.5
D.6
E.12</p></li>
<li><p>The junior class is sponsoring a drama production to raise funds and plans to charge the same price for all admission tickets. The class has $700 in expenses for this production . If 300 tickets are sold, the class will make a profit of $1100. What will the profit for the class if 500 tickets are sold?
A$1133
B$1833
C$2300
D$3000
E$3700</p></li>
<li><p>For which of the following equations is it true that the sum of the roots equals the product of the roots??
A x^2 - 4 =0
B x^2 - 2x+1=0
C x^2 -4x+4 =0
D x^2 -5x+6=0
E x^2 +4x+4 =0</p></li>
<li><p>What is the least integer value of k such that x^2(3k+1)-6x+2= 0 has no real roots ??
a5
b2
c1
d-1
e-2</p></li>
</ul>

<p>*If angle A is an acute angle and sin^2 A/cos^2 A = 2.468
What is the value of tan A?
A1.234
B1.571
C2.468
D4.963
E6.091</p>

<hr>

<p>Thats all, i hope u guys answer my questions and help me out !!
Thanks in advance:)</p>

2

<p>Question 2 is easy actually. OK you need to remember that the class has $700 in expenses. If the benefit was $1100 this means that the total amount of money collected was $1100 + expenses = 1100+700 =1800. Thanks to this, we can find the price of one ticket. Since 300 tickets were sold, this means that the price of one ticket is 1800 / 300 = $6.
So if 500 tickets are sold, the class will collect 500 x 6 = $3000 from which are substracted $700 for the expenses. Therefore, the benefit, when 500 tickets are sold, is 3000-700= $2300. ( choice C )</p>

3

<p>Question 1: Is PQ the hypothenus of the triangle ? I think it is. So, to find QR you need to know that sin(angle)= opposite side / hyp which is here:</p>

<p>sin(P)= QR/PR <=> QR= sin(P) x PR
<=> QR= 0.5 x 6
<=> QR= 3 ( choice B )</p>

4

<p>Question 3: Could you check that there is no mistake in what you sent. </p>

<p>Question 4: You can try to plug in the choices and see for which one the equation has no solution. I tried and I think the answer is 2 ( b ).</p>

<p>Question 5: sin²(A) / cos² (A) = tan²(A)
Therfore, tan²(A)= 2.468 so tan(A)= 1.571 ( B )</p>

5

<p>Answer to #3 is C</p>

6

<p>thanks for the answers mourad :slight_smile:
that really helped -</p>

7

<p>3 is c b/c -b/a is sum and c/a is product so just plug and in see which fits</p>

<p>4 is b. u just have to keep the quadratic formula in mind and realize that
4ac>b^2 b/c that will make the part inside the sqrt negative</p>