Mathematics College

Find the value of tan T rounded to the nearest hundredth, if...

Answers

Answer 1

The measure of the tan of the angle T is 3.4286

How to determine the measure of the tan of the angle T

From the question, we have the following parameters that can be used in our computation:

Opposite = RS

Hypotenuse = 50

Adjacent = 14

The opposite of the angle T can be calculated as

Hypotenuse² = Opposite² + Adjacent²

Substitute the known values in the above equation, so, we have the following representation

50² = RS² + 14²

Evaluate the like terms

RS² = 2304

Take the square root of both sides

RS² = 48

The measure of the tan of the angle T is then calculated as

tan(T) = RS/Adjacent

Substitute the known values in the above equation, so, we have the following representation

tan(T) = 48/14

Evaluate

tan(T) = 3.4286

Hence, the value is 3.4286

Related Questions

help I’ll give brainliest

Answers

Answer: The median of the upper half of a set of data is the upper quartile ( UQ ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range . The interquartile range or IQR is the range of the middle half of a set of data.

Step-by-step explanation:

Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O

Answers

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

Table of functions

From the given table, we need to determine which of the table is a linear table.

To determine that, we must check which of the table has a constant rate of change

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Learn more on function here: https://brainly.com/question/3632175

There are 1/6 gallons of water in a 2/3 gallon container. What fraction of the container is filled?

Answers

Answer:

1/4

Step-by-step explanation:

2/3 multiply top and bottom of fraction by 2

4/6 is the capacity of the container

1/6 is filled

so 1/4 of the container is filled

Answer:

1/4

Step-by-step explanation:

it takes 2/6 per each 1/3 of a gallon there for there would be 4/6 in 2/3

Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18

Answers

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

The PTA is holding a raffle. The prize is a camera worth $55000. Each raffle ticket costs $2. 29 tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.

Answers

Answer: $1,894.55

Step-by-step explanation:

The expected value is the sum of the different outcomes multiplied by the probability that that particular outcome comes true.

Probability of winning = 1/29 tickets

Probability of losing = 28/29 tickets

Gain if you win

= Price - cost of tickets

= 55,000 - 2

= $54,998

Loss if lose:

= -$2

Expected value = (Probability of winning * gain if you win) + (Prob. of losing * loss)

= (1/29 * 54,998) + (28/29 * -2)

= $1,894.55

On the next test, one of the students score 100 but the remaining 4 students score 50 again. What is the average score on this second test?

Answers

Answer:

Step-by-step explanation:

50+50+50+50+100= 300

divide by 5 students

300/5 = 60

Answer:

now I can answer correctly! 60 is the average

Step-by-step explanation:

100+50(4) =300

50(4)= 200+100=300

300/5= 60

express 729 as a power of 27

Answers

27 to the 2nd power
so uh
27^2

find c and round to the nearest tenth

Answers

Answer:

C=9.7

Step-by-step explanation:

Haha

An airport has two long-term parking lots. The cost to park, y, in each lot for x days is shown in the tables.

A system of linear equations can be used to determine on which day the cost to park is the same for both lots. One of the equations in the
system is y=6x. What is the other equation in the system?

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

Hey there,

For Lot A I found the slope to be 4/1. You can do this by picking two points and finding the change in y over the change in x, or you can just look at the graph and realize that to get from one y variable to the other you're adding 4 and to get from one x variable to the other you're adding one. That means it's equal to 4/1 which is the same thing as 4. We know that at 1 the cost is $16. The y-intercept has to be equal to 12, meaning that they started off with $12 and are gaining $4 every day.

I hope this helps :)

At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?

Answers

Answer:

he gets 4.33 dollars back

Step-by-step explanation:

add 2.75+1.20+1.35+0.37= 5.67

10-5.67=4.33 $

Answer:

4.33

Step-by-step explanation:

if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67

simplify the ratio of 55/121

Answers

Answer:

Thus, 5/11 is the simplified fraction for 55/121 by using the GCD or HCF method. Thus, 5/11 is the simplified fraction for 55/121 by using the prime factorization method.

I hope it's helpful!

An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.

Answers

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

3 men, 3 women

↓

_______________________|________________________

↓ ↓ ↓ ↓

3 men 2 men 1 man 0 men

0 women 1 woman 2 woman 3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 × 1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

This month the animal shelter had 50 puppies.
Some puppies were adopted. Now there are 40
puppies. What is the percent of change?

Answers

Answer:

5 percent change

Step-by-step explanation:

Type the ordered pair for each vertex below

Answers

Answer:G = 7,3H = 9,6I = 11,3Hope this helps!!♥︎

The first one is G=7,3.

which of the following is not a composite number a6 b7 c8 d9

Answers

Answer:

7 isn't a composite number

Step-by-step explanation:

Answer:

7, it's a prime number

Step-by-step explanation:

4x9? i have a math test on times

Answers

Answer:

the answer is 36

.......

Answer:

4x9? i have a math test on time

Step-by-step explanation:

Is 36

4+4+4+4+4+4+4+4+4= 36

An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?

Please write it as a fraction.

Answers

Answer:

35/16

Step-by-step explanation:

Answer:

2.1875

Step-by-step explanation:

35/16=2.1875

2.1875 pounds

Paul and James are class fellows and their ages are consecutive natural numbers. The product of their ages is 63.Paul is elder than James. Determine ages of both Paul and James.

Answers

Answer:

Step-by-step explanation:

There are no consecutive natural numbers with a product of 63. But, there are two consecutive ODD natural numbers with a productd of 63. Could it be that you typed the problem incorrectly?

When solving quadratic equation, what do the X value stand for as it relates to plotting the graph of the equation?

Answers

Step-by-step explanation:

step 1. The x values refer to the domain of the function.

step 2. if you set y = 0 and solve the quadratic equation the x values refer to the point the graph crosses the x axis.

Find the missing sides to the triangle seen below.

Answers

Answer:

Step-by-step explanation:

you got to eat it and then division then multiple

Answer:

Step-by-step explanation:

Is a scale factor of K= 8.5
A reduction or Enlargement and please explain why:)

Answers

Answer:

Enlargement

Step-by-step explanation:

Because when 8.5 will be multiplied by a number, it will increase the value of that number by 8.5 times.

Enlargement, when multiplying future points by 8.5, it will only increase.

Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?

Answers

Answer:

about 29 seconds and 74 meters

Step-by-step explanation:

What is the difference between the leg and hypotenuse of a right triangle?

Answers

Answer:

The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight

Step-by-step explanation:

Sorry i did my best explanation

9/10 of a 70-foot-long driveway has already been paved. How many feet of the driveway has been paved?"

Answers

Answer:

Step-by-step explanation:

Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh

Answers

Answer:

If the initial velocity being is a straight line, and the final velocity being 0 km/hr, or o m/s, then:

v(final) = v(initial) + at

0 = 72 Km/h + (-=a * 10 s)

- a * 10 s = 72 km/hr * hr/3600s * 1000m/km = 20m/s

a = - (20 m/s) / (10 s)

a = - 2 m/s^2

That’s 2 m/s^2.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Step-by-step explanation:

Formula : distance=speed×time

time.= 10s = 10÷60÷60= 1/360h

speed = 72km/h

distance = 72×1/360 = 0.2km

What additional information would allow the triangles to be proven similar by AA?
Question options:

A)

≅

B)

≅

C)

∠M ≅ ∠P

D)

∠Q ≅ ∠P

Answers

The additional information would allow the triangles to be proven similar by AA is: C. ∠M ≅ ∠P.

What is the AA Similarity Theorem?

The acronym, "AA" stands for "angle-angle". Thus, the AA similarity theorem is a triangle theorem that is used to prove that two triangles that have two pairs of corresponding congruent angles are similar to each other.

The figure given shows two triangles, triangle MNO and triangle PQR, which have a pair of corresponding congruent angles, angle MNO and angle PQR [both are congruent because they are right angles that are equal to angle 90 degrees.]

Thus, this is not enough to prove that both triangles are similar to each other by the AA similarity theorem.

In other to prove that both triangles are similar by AA, we need to be given or shown that both triangles also have another pair of corresponding congruent angles.

Thus, the additional information needed can be: C. ∠M ≅ ∠P.

Learn more about the AA similarity theorem on:

https://brainly.com/question/2166570

#SPJ1

2 f(x)=x2 + 2x cómo se evalúa?

a) f(3)
b) f(-1)
c) f(x-3)

Answers

Answer:

b) f (-1) ese es el resultado

Round to the nearest percent

Answers

The answer is 20%. 18% rounded is 20%

what’s the answer please

Answers

Answer:

option c. complementary.

Answer:

answer. option c....

Step-by-step explanation:

option c

Solve for x
-18x + 21 > -15
OR
20x – 13 >27

Answers

Answer:

x<-3 or x>2, 2<x<-3

Step-by-step explanation:

Subtract/add from each side then divide, if dividing by a negative reverse the sign.

Answer:

all values are x

Step-by-step explanation:

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