What is x? The degree of the angle of x
What is x? The degree of the angle of x - 1

Answers

Answer 1
Answer:

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.


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y=2/3x+2/3 bc slope is 2/3 and 4-2/4-1=2/3

Find the area of the figure to the nearest square unit.

Answers

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

  • The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

  • The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

  • The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

In a rally race the lead car is ahead by 1 1⁄2 hours. If the lead car is going 60 mph and the second place car is going 70 mph and starts 1 1⁄2 hours after the lead car, how long will it take to overtake the leader?

Answers

Let t hours be the time the second car is driving untill it overtakes the first car. The nfirst car is t-1(1)/(2) hours on the road.

If the lead car is going 60 mph, then for the t-1(1)/(2) hours  it will go the distance

60\cdot(t-1(1)/(2))\ m.

If the second place car is going 70 mph, then for the hours it will go the distance

70\cdot t\ m.

These distances are equal, then

60(t-1(1)/(2))=70t,\n \n60t-60\cdot (3)/(2)=70t,\n \n10t=90,\n \nt=9\ hours.

Answer: 9 hours

Need help please guysssssss

Answers

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:

Salma sold 600 liters of soda at a baseball game. How much is this in milliliters?Be sure to include the correct unit in your answer.
mL
mg
kL
kg

Answers

Final answer:

600 liters of soda is equal to 600,000 milliliters.


Explanation:

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.


Learn more about Converting units here:

brainly.com/question/31429209


A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above

Answers

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