Answer:
x = 60°
Step-by-step explanation:
All the angles in a triangle add up to 180°. So, you have this equation.
87° + 33° + x = 180°
120° + x = 180°
x = 60°
The measure of angle x is 60°.
Hope that helps.
Use exact numbers
Answer:
357 mi²
Step-by-step explanation:
The shape is made of a triangle and a half-square
we will calculate the area of each one
let A1 be the area of the half-circle:
A1= (10²*π)/2 = 50π mi²
Let A2 be the area of the triangle:
A2= 10*20=200 mi²
let At be the total area:
At =A1+A2= 200+50π =357.07≈ 357 mi²
Let t hours be the time the second car is driving untill it overtakes the first car. The nfirst car is hours on the road.
If the lead car is going 60 mph, then for the hours it will go the distance
If the second place car is going 70 mph, then for the hours it will go the distance
These distances are equal, then
Answer: 9 hours
Answer:
C
Step-by-step explanation:
3x+2-x>8
2x+2>8
2x>8-2
2x>6
x>3
Answer:
C
Step-by-step explanation:
mL
mg
kL
kg
600 liters of soda is equal to 600,000 milliliters.
To convert liters to milliliters, we multiply by 1000 since there are 1000 milliliters in one liter. So, 600 liters of soda is equal to 600,000 milliliters.
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45