Answers
Answer:
4x+68=180
4x=180-68
4x=112
4. 4
x= 28°
question 2 has been solved that way because 5x+70°=180 because they are on a straight line and angles on a straight line are 180°
Related Questions
a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
Answers
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
Answer:
35cm
Step-by-step explanation:
Which sentence describes a benefit that short-term disability insurance offers a policyholder? A. It provides 30% to 40% of the policyholder's income for up to one year. B. It provides 10% to 25% of the policyholder's income for up to two years. C. It provides 50% of the policyholder's income for up to one year. D. It provides 40% to 60% of the policyholder's income for up to one year.
Answers
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
Insurance is a risk sharing device where the risk is shared between the policyholder and the insurance company through regular periodic payment called premium. What Short term disability insurance does is to make do with the income of a person that has to leave his/her place of work as a result of sickness or injury. It provides financial assistance while the individual convalesces at home. The employee are liable to receive 40 to 60 % of their gross weekly income pending on the premium paid. This coverage period is 9 to 52 weeks, (i.e 2.25 to 12 months).
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau
Answers
Answer:
Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)
Step-by-step explanation:
The information given is not enough to determine the probability.
We need to know, how many Clouseau are seen each year, then we can find the desired probability.
The Parameters:
Total number of manta rays seen each year = 450
Probability that if a manta ray is spotted at random, it would be clouseau,
P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)
P = C/T
P = C/450
The perimeter of a rectangular field is 354 yards. If the width of the field is 78 yards, what is its length?
Answers
Answer:
99
Step-by-step explanation:
Answer:
The length is 138 yards.
Step-by-step explanation:
354 - 78 = 276
276/2 = 138
6 divided 2 (1+2) and 9 - 3 divided by 1/3 +1
Answers
Answer:
1
Step-by-step explanation:
Work between parenthesis first, so distribute the 2 into both digits within the parenthesis then add the together.
Now divide that number by the 6 at the beginning of the problem to get your first answer.
Now you work on the second part, divide 3 by 1/3 which would give you 9.
9-9=0
0+1=1
1 is your overall answer
Answer:
1 ; 18/4
Step-by-step explanation:
6/ 2(1+2) ; 9 - 3/(⅓ + 1)
6/ 2(3) ; 6/ (4/3)
6/6 ; 6 / (4/3)
1; (6×3)/4
1 ; 18/4
Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?
(Use 3.14 for Pi)
Answers
Answer:
3847
Step-by-step explanation:
To get your radius
diameter/2= 70/2=35.
Radius=35
Area=πr^2 =3.14x 35x35= 3846.5
approximately=3847
1. MONDAY (5/18): Which of the following functions matches the graph to the right
a) f(x) = -⅙(x+3)²+6
b) f(x)=-⅙(x-3)²+6
c) f(x) = -6 (x+3)² +6
d) f(x) = -6 (x-3)² + 6
Answers
Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...
[tex]4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6[/tex]
a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast
Answers
Answer:
Multiplication Property of Equality
Step-by-step explanation:
Answer:
Division Property of Equality..
Step-by-step explanation:
How do you solve 15 less than or equal to
3 - 4s
Answers
Answer:
-3 is greater than or equal to s
Step-by-step explanation:
subtract 3 on both sides
then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)
How fast was a driver going if it left skid marks that were 63 feet long on wet concrete? (The coefficient of friction is 0.97)?
Answers
Answer:
Step-by-step explanation:
Let m be the mass of the vehicle
frictional force = μ mg
μ is coefficient of friction ,
deceleration = μ g
= .97 x 32
a = - 31.04 ft /s
v² = u² - 2 a s
0 = u² - 2 a s
u² = 2 a s
= 2 x 31.04 x 63
= 3911.04
u = 62.54 ft / s
Answer:
43mph
Step-by-step explanation:
Took the test
21.14,7.2,4.5 are these irrational or rational?
Answers
Answer:
Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.
Step-by-step explanation:
easy please help asap
Answers
1.Understand the problem
2.Gather your resources
3.Come to answer
4.Check your answer and present solution
Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.
Answers
Answer:
It would take 15 years
Step-by-step explanation:
The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:
FV=PV*(1+r/4)^n*4
FV is the target savings of $1,000
PV is the amount invested which is $600
r is the rate of interest of 3.4%
n is the unknown
1000=600*(1+3.4%/4)^4n
1000=600*(1+0.0085 )^4n
1000=600*(1.0085)^4n
1000/600=1.0085^4n
1.666666667 =1.0085^4n
take log of both sides
ln 1.666666667 =4n ln 1.0085
4n=ln 1.666666667/ln 1.0085
4n=0.510825624 /0.008464078
4n=60.35218768
n=60.35218768 /4
n= 15.09
What is the Solution?
Answers
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Answer:
w = 2 and w = 6
Step-by-step explanation:
Given
[tex]\frac{w}{2w-3}[/tex] = [tex]\frac{4}{w}[/tex] ( cross- multiply )
w² = 4(2w - 3) ← distribute
w² = 8w - 12 ( subtract 8w - 12 from both sides )
w² - 8w + 12 = 0 ← in standard form
(w - 2)(w - 6) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 2 = 0 ⇒ w = 2
w - 6 = 0 ⇒ w = 6
What is 1/3 of 60% as a fraction
Answers
60% *0.01 = 0.6
1/3*0.6=0.2=2/10=1/5
Answer:
1/5
The fraction is 1/5.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
60%
= 60/100
= 6/10
= 3/5
Now,
1/3 of 60%
= 1/3 x 3/5
= 1/5
Thus,
The fraction is 1/5.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ5
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answers
Answer:
C. [tex]b^{27}[/tex]
Step-by-step explanation:
Assume b is a number like 3
([tex]3^{9}[/tex])³=19683³=7625597484987
[tex]3^{24}[/tex]=282429536481
B is definitely wrong. Not even going to try.
[tex]3^{27}[/tex]=7625597484987
D is definitely wrong. Not even going to try.
What is the probability that the proportion of people who will order coffee with their meal is between 2% of the population mean? If in a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.
Answers
Answer:
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.9, n = 144[/tex]
So
[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]
What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?
This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So
X = 0.92
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.7881
X = 0.88
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]
[tex]Z = -0.8[/tex]
[tex]Z = -0.8[/tex] has a pvalue of 0.2119
0.7881 - 0.2119 = 0.5762
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
Please help me. Only answer if you know the answer. In circle O, PA and PB are tangents. The figure is not drawn to scale.
a. Prove that APO is congruent to BPO.
b. Find BOD for AOP = 64. Explain your reasoning.
Answers
Answer:
a. See down below
b. 116 degrees
Step-by-step explanation:
a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.
b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!
The base of a triangle is 3cm and the height is 5cm. What mathematical operations described must be performed in order to find the area of this triangle
Answers
im lost!! can someone please help me. will vote brainliest
Answers
Answer:
Answer is >= 1. The reason is that you can't take the square root of a number and it be a rational number. So you have to avoid having a number that is negative under the square root symbol. In addition, you have to make sure you don't have a zero in the denominator because that would make the answer undefined.
Answer is C
Step-by-step explanation:
Answer:
I belive the answer is c
Try using desmos cauculater ;)
Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5 m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.
Answers
Answer:
8.66 meters
Step-by-step explanation:
Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.
Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.
We have to:
c ^ 2 = a ^ 2 + b ^ 2
c = 10
a = 5
replacing
b ^ 2 = 10 ^ 2 - 5 ^ 2
b ^ 2 = 75
b = 8.66
that is to say that the height at which the ladder reaches the wall is 8.66 meters
A survey asked 40 students if they play an instrument and if they 20 students are in band.
3. 20 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Total
Band
Not in band
D.A.
0
20
20
Play instrument
Dont play
instrument
15
20
5
40
15
25
Total
Toto
Band and play
instrument
Not in band and
play instrument
B.
Not in band and
PREVIOUS
a
Answers
Answer: try the answer B
Step-by-step explanation:
Mr.Cho made a two way table to describe members of his family.which could describe the row and column headings for Mr.Chos table
Answers
Answer:c
Step-by-step explanation:
Took test
please Help it’s urgent
Answers
Answer:
Angle IAJ
Step-by-step explanation:
X idea again. They are opposite to each other in the immediate area around them.
A farmer picks 242 apples on monday and 118 apples on tuesday on wednesday she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left?
Answers
Answer:
Step-by-step explanation:
The apples picked on Monday and Tuesday = 242 + 118 = 360
Apples sold on Wednesday = 360 - 109 = 521
Number of apples left = 251
Equation used: (242 + 118) - 109
I NEED HELP FAST, 20POINTS
Which of the following statements is true?
| A | < | D |
A + B = D
C ≥ D
| B | > C
Answers
Answer:
| A | < | D |
Step-by-step explanation:
| A | is going to be 4 units since A = -4
| D | i sgoing to be 3 units since D = 3
Answer:
The answer is |A|< |D|
Step-by-step explanation:
Just did it and it was right
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *
Answers
Answer:
It was a cylinder shape
volume of cylinder is
= \pi {r}^{2} h
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)
Answer
2484.11
Step-by-step explanation:
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answers
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
A company has been forced to reduce its number of employees. Today the company has 29% fewer employees than it did a year ago. If there are currently 142 employees, how many employees did the company have a year ago?
Answers
250 is not the answer
Step-by-step explanation:
Idk
. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?
Answers
Answer:
The answer is .007874989
Step-by-step explanation:
