Answer:
22.)
m/8 = 15/24
8×15= 120
120÷24= 5
m=5
23.)9/p = 4/48
9×48= 432
432÷4=108
p=108
24.) 10.50÷3= 3.50
thats $3.50 per pizza.
9 pizzas= $31.50
plus one pizza aka, 31.50+3.50= $35
therefore, 10 pizzas would cost $35
26.) 5/2 = d-2/4
cross multiply:
5×4=2(d-2)
20= 2(d-2) divide both sides by 2
20÷2 = 2(d-2)÷2
10= d-2 exchange places with d and 10 and change signs
-d= -2-10
-d=-12 change the sign on both sides when the variable is negative.
d=12
sinx-✓(1-3sin2x)=0
-✓(1-3sin2x)=-sinx
apply squared both sides
(-✓(1-3sin2x)^2=(-sinx)^2
1-3sin2x=sin2x
collect like terms
-3sin2x-sin2x+1=0
-4sin2x+1=0
-4sin2x=-1
devide both sides by -4
sin2x=-1/-4
sin2x=0.25
sinx*sinx =0.25
[sinx]^2 = 0.25
apply square root both sides
<h2>✓(sinx)2 = ✓0.25</h2>
<h2>sinx=0.5</h2><h2> </h2><h2>x=sin^-(0.5)</h2>
<h2>x=30°</h2>
<h3>check quadrant where sin is positive, sin is +ve in second quandrant</h3>
180-x= Theta(X)
180-30=X
X=150°
therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)
Answer: B
Step-by-step explanation:
Part 1:
Proportion: 1/2 per foot.
Solve: The tree is 10 feet tall.
Solution in a sentence: To solve this, you take the shadows length, and double it to get objects actual height.
Part 2:
Proportion: 2 male horses to 3 female horses
Solve: There are 18 Female Horses.
Soulution in a Sentence: To solve this, you take the amount of male horses, divide it in half, then multiply it by 3 to get the answer.
Part 3:
Proportion: 3 drops to every 4 pints of water.
Solve: There are twelve drops in the 16 pints of water.
Solution: Every four pints of water, there is three drops. So you take the sixteen pints, divide it by four. Then, multiply it by three to get you answer.
Answer:
It decreases by 7.5 psi
Step-by-step explanation:
:)