Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
 
        
                    
             
        
        
        
Answer: Total Volume =  15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume:  C = (1/3)*(πr^2) * h
semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)
r = 3 mm  and  h = 5mm
so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume =  15π + 18 π= 33π cubic mm
 
        
             
        
        
        
Answer:
by using Pythagoras law
h²=p²+b²
13²=9²+b²
169-81=b²
b=√88=2√22m is your answer
 
        
             
        
        
        
Answer:
Each tulip costs $1.50
Step-by-step explanation:
First, write an equation using the numbers given. It should look like this:
2.25(8) + 5x = 25.50
Next, multiply 2.25 by 8 to get: 18 + 5x = 25.50. Then, subtract 18 from both sides:
18 + 5x = 25.50
-18           -18
5x = 7.50
Finally, divide both sides of the equation by 5 to get $1.50
So, each tulip costs $1.50. Hope this helped!