The measure of the tan of the angle T is 3.4286
How to determine the measure of the tan of the angle TFrom 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
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This month the animal shelter had 50 puppies.
Some puppies were adopted. Now there are 40
puppies. What is the percent of change?
Answer:
5 percent change
Step-by-step explanation:
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?
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
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
What additional information would allow the triangles to be proven similar by AA?
Question options:
A)
≅
B)
≅
C)
∠M ≅ ∠P
D)
∠Q ≅ ∠P
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.
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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.
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
so
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
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.
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?
Is a scale factor of K= 8.5
A reduction or Enlargement and please explain why:)
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.
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?
Answer:
about 29 seconds and 74 meters
Step-by-step explanation:
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?
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 :)
what’s the answer please
Answer:
option c. complementary.
Answer:
answer. option c....
Step-by-step explanation:
option c
find c and round to the nearest tenth
Answer:
C=9.7
Step-by-step explanation:
Haha
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.
Answer:
35/16
Step-by-step explanation:
Answer:
2.1875
Step-by-step explanation:
35/16=2.1875
2.1875 pounds
Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh
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
Find the missing sides to the triangle seen below.
Answer:
95
Step-by-step explanation:
you got to eat it and then division then multiple
Answer:
95
Step-by-step explanation:
4x9? i have a math test on times
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
When solving quadratic equation, what do the X value stand for as it relates to plotting the graph of the equation?
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.
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.
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
There are 1/6 gallons of water in a 2/3 gallon container. What fraction of the container is filled?
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
9/10 of a 70-foot-long driveway has already been paved. How many feet of the driveway has been paved?"
Answer:
63
Step-by-step explanation:
Type the ordered pair for each vertex below
What is the difference between the leg and hypotenuse of a right triangle?
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
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
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
Solve for x
-18x + 21 > -15
OR
20x – 13 >27
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:
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?
Answer:
60
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
Round to the nearest percent
simplify the ratio of 55/121
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!
help I’ll give brainliest
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 of the following is not a composite number a6 b7 c8 d9
Answer:
7 isn't a composite number
Step-by-step explanation:
Answer:
7, it's a prime number
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
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 functionsFrom 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 changeLooking 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.
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express 729 as a power of 27