MATHEMATICS COLLEGE

MZTRI = 3x - 5, mZIRB = x + 27,
and mZTRB = 86. Find the mZTRI.

Answers

Answer 1

Answer:

Answer:

m∠TRI = 43

Step-by-step explanation:

m∠TRI + m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86 {Combine like terms}

4x + 22 = 86 {Subtract 22 from both sides}

4x = 86 - 22

4x = 64 {Divide both sides by 4}

x = 64/4

x = 16

m∠TRI = 3x - 5

= 3*16 - 5

= 48 - 5

= 43

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Y/9 + 5 = 0 ???????????

Answers

Answer:

$y=-45$

Step-by-step explanation:

$(y)/(9)+5=0$

$(y)/(9)=-5$

$y=-45$

At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?

Answers

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

$tan( \pi/3) = (h)/(20) \nh = 20*1.73205\nh=34.64\ ft$

The building is 34.64 ft tall

2. Customers who purchase a certain model of car can order an engine in any of three sizes. Of all cars of this type sold, 45% have a small engine, 35% have a medium-sized engine, and 20% have a large engine. Of cars with the small engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the large engine fail. If a randomly chosen car of this model fails an emission test within two years, what is the probability it is a car with a small engine

Answers

Answer: 0.1397 ; 0.385

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

Jordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.

Answers

Answer:

Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)

Step-by-step explanation:

The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.

Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.

HOPE THIS HELPS ↖(^ω^)↗

PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!!!Hiking up a mountain, you notice that the air temperature drops 10°C for every 1000 Meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 Meters. Then evaluate the expression and explain it's meaning.
Please have a explanation and expression in your answer. If you get it done the way that I think is correct, you will get brainliest!❤❤

Answers

Answer:

x-10x3

Step-by-step explanation:

Because there are 3 thousands... and 3 times 10 is 30 so the total -30 is the amount that it drops

Answer:

10,000 I think.

Step-by-step explanation:

10 x 1000. Put the 0 at the back. So it has 4 zero and so you put the zero at the back and what is 1 x 1 well it's 1, so it's 10,000. I think.

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. Whatpercentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).