What is the approximate measure of angle T in the triangle below?
2.7 cm
3.9 cm
4.3 cm
[Not drawn to scale)
Answers
Answer:
Angle T = 79°
Step-by-step explanation:
From the question given above, the following data were obtained:
Side opposite U (u) = 2.7 cm
Side opposite S (s) = 3.9 cm
Side opposite T (t) = 4.3 cm
Angle T =?
The value of angle T can be obtained by using cosine rule as illustrated below:
t²= s² + u² – 2suCosT
4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T
18.49 = 15.21 + 7.29 – 21.06 × CosT
18.49 = 22.5 – 21.06 × CosT
Rearrange
21.06 × Cos T= 22.5 – 18.49
21.06 × Cos T = 4.01
Divide both side by 21.06
Cos T = 4.01 / 21.06
Cos T = 0.1904
Take the inverse of Cos
T = Cos¯¹ 0.1904
T = 79°
Related Questions
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answers
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
6yd,3yd,7yd,
Answers
Answer:
the volume is 42 yds
Step-by-step explanation:
multiply 6x3x7=126
divide 126 by 3
126/3=42
Joe ran 1 1/4 laps in 2 minutes. How many laps did Joe run on average per minute?
Answers
Answer
2.5/4
Step-by-step explanation:
If you do 1 1/4 divided by 2 that would equal 2.5/4 I hope that helps!
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answers
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Martin needs 3.25 gallons of paint for his small barn and 1.25 gallons of paint for his shed. he spends $81 on paint, how much does the paint cost per gallon?
Answers
Answer:
$24.92, $65
Step-by-step explanation:
1. $81 divided by 3.25 = 24.9230769231 = $24.92
2. $81 divided by 1.25 = $64.8, rounded could be $65.
sorry if I'm wrong :).
[tex]1/5(6+3+1)^{2}[/tex]
Answers
Evaluate
6+3+1
10
1/5*10 2
1/5*100
100/5 multiple the #
20
find the value of each variable or indicated measures
Answers
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Answers
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answers
Answer:
A
Step-by-step explanation:
yyjvgyujjjjuyrcjkoiffffgy
What is the volume of this cube?
Answers
Answer:
50
Step-by-step explanation:
im not that sure sorry
Answer:
The answer is 0.125.
Step-by-step explanation:
The forumla to find volume of a cube is a3. (Let a repersent 0.5) 0.5x0.5x0.5 is 0.125
What is the area of this figure?
Answers
Answer:
Area = 183
Split the shape into two and calculate the area, or something
Write 3+5/10+6/100+8/1000 as a decimal
Answers
Answer:
3.568
Step-by-step explanation:
3+0.5+0.06+0.008=3.568
what is the complementary angle of 90
Answers
It is when two Angles add up to 90 degrees
for example 30 + 60
Evaluate the expression.
3×2⁴
Answers
Which of the following was the immediate cause of the Sepoy Rebellion?
Answers
The immediate cause for the revolt was the introduction of the new Enfield rifle to the British Indian Army.
Answer:
Indian soldiers were forced to use pig- and cow-based cartridges in their guns.
Step-by-step explanation:
Find the missing height in the diagram.
4 ft
81
12 ft
feet
3
64
16 ft
Answers
Answer:
2feet at the least man
Answer:
4ft
Step-by-step explanation:
i did 12ft - 8ft which would of gotten the length of the bottom length.
calculate the perimeter of a quarter circle 2mm use pi=3.14
Answers
Answer:
Step-by-step explanation:
If the radius of the circle is 2mm, the circumference is 4π mm.
Arc length of the quarter circle = π mm.
Perimeter of the quarter circle = arc length + 2 radii = 4π + 4 mm = 16.56 mm
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6
Answers
It was 3 degrees below so the 3 will be a negative 3. Then by 10 it rose up by 3 so it is a positive 3. So -3+3=0
What’s the answers for these questions and how do you solve it?
Answers
Use the following probability model to answer the question.
Event: For each adult resident in a city we ask how many
vehicles they own.
Number of Vehicles
Probability
0.04
0
1
0.41
0.38
0.13
UWN
0.03
0.01
Find the probability that an adult resident has 3 or more
vehicles. Give your answer as a number between 0 and 1.
Answers
Answer:
Step-by-step explanation:
Number of Vehicles Probability
0 0.04
1 0.41
2 0.38
3 0.13
4 0.03
5 0.01
X= 1
.13+.03+.01=0.17 (the amount with 3 or more cars)
0.17/1(Total amount of all probability)= 0.17 has 3 or more cars.
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that an adult resident has 3 or more is 0.17
What is probability?
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The probability distribution of the number of vehicles is given as,
P(x) where x is the number of vehicles.
P(0) = 0.4
P(1) = 0.41
P(2) = 0.38
P(3) = 0.13
P(4) = 0.3
P(5) = 0.1
The probability that an adult resident has 3 or more.
= P(3) + P(4) + P(4)
= 0.13 + 0.03 + 0.01
= 0.17
Thus,
The probability that an adult resident has 3 or more is 0.17
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts?
Answers
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
That's the answer.
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answers
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
Find 10.8% of 405. Round to the nearest tenth.
Answers
Steps:
405 * 10.8%
405 * 0.108 = 43.74
43.74 = 43.7
A quality-assurance worker wants to systematically sample 120 glass jars each day from a conveyor belt in a factory that puts out 3,600 jars each day. If the worker will select every kth jar, what is the best value of k for the worker to use? Enter a whole number.
Answers
Answer:
The best value of k for the worker to use is 30.
Step-by-step explanation:
Sample of 120 jars from a set of 3,600.
If the worker will select every kth jar, what is the best value of k for the worker to use?
The best case would be starting at 0 and ending at 3600, finding 120 values, which means that k is given by the division of 3600 by 120. So
[tex]k = \frac{3600}{120} = \frac{360}{12} = 30[/tex]
The best value of k for the worker to use is 30.
-4x + 21 > -3
What could x be??
Answers
Answer:
x < 6
Step-by-step explanation:
subtract 21 on both sides
-4x > -24
divide both sides by -4 and flip the sign (bc you're dividing by a negative)
x < 6
3 * n + 2 = ?
2 * n + 7 = ?
Answers
Answer:
1.3n+2
2.2n+7
Step-by-step explanation:
for number 1.you are multiplying 3 and n which gives you 3n but 2 you cant because it dosent have a variable to times with it says plus instead of times.
and for number 2 it the same thing 2 times n equals 2n + 7 is 2n + 7 .
If this doesnt help then im sorry but this is how i know and yeah have a wonderful day.
A flag pole casts a shadow that is 10 feet long. A nearby windmill casts a shadow that is 18 feet long. If the flag pole is 18 feet tall, how tall is the windmill, to the nearest tenth of a foot?
Answers
Answer:
26
Step-by-step explanation:
i need my points
Answer:
26?
Step-by-step explanation:
If a square has sides that equal 5 meters, what is the perimeter?
Answers
Which function has zeros at x = -2 and x = 5?
Оооо
f(x) = х2 + 2x – 10
f(x) = х2 - 2x – 10
f(x) = х2 + 3х – 10
f(x) = х2 – 3х – 10
Answers
Tim used 4 1/2 cups of oranges,3 1/2 cups of apples,and 5 1/2 cups of pears in a fruit salad.How many cups of fruit did Tim use altogether?
Answers
Answer:
13 1/2 cups of fruit
Step-by-step explanation:
4 1/2+ 3 1/2= 8
8+ 5 1/2= 13 1/2
i hope this helps!!!