Answer:
163.6 in---------------------------
Given:
a = 56 in,m∠A = 55°.Find the missing sides:
56/b = tan 55° ⇒ b = 56 / tan 55° = 39.21 in,56/c = sin 55° ⇒ c = 56 / sin 55° = 68.36 in.Perimeter is:
56 + 68.36 + 39.21 = 163.57 ≈ 163.6 inMr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2, 10, 15, 3, 13, 9, 14, 7, 2, 9 The range is nothing.
Answer:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
Write the statement in if -then form Adjacent angles share a common vertex and a common side
If is the hypotesis, the first part of the conditional statement, and then is the conclusion of the statement.
So, the statement in if-then form.
If angles share a common vertex and a common side, they are adjacent.
b) Use the graph to estimate the
value of x when y = 1
Answer:
Hey bro you're welcome.
Step-by-step explanation:
There are 28 cub scouts in pack 7. The number of scouts is six more than twice the number of adults leaders. Find the number of adult leaders.
The total number of adult leaders is 11.
How to solve Simple Equation?When solving a simple equation, think of the equation as a balance, with the equals sign (=) being the fulcrum or center. A simple equation represents a relationship between two terms on either side of an equal sign. Simple equations also follow one or a combination of the four mathematical operations of addition, subtraction, multiplication and division. As mathematics becomes more complex in level, simple equations can become larger with additional terms and variables.
Types of simple equation:
Linear equation are the most common simple equation and typically consist of one or several terms on either side of an equal sign.
Exponential equations contain numerical terms and exponents and sometimes include variables, depending on the type of problem you are solving.
Given:
Number of cub = 28
Number of scouts is 6 more than twice the number of adult leaders
Let C = cub scouts
L = adult leaders
C = 6 + 2L
28 = 6 + 2L
28 - 6 = 2L
22 = 2 L
L = 11
Number of adult leaders are 11.
To know more about simple equation visit:
brainly.com/question/27433870
#SPJ1
eight candy bars cost $6.00. Caulatue the cost per candy bar
Answer:
about $1.34
Step-by-step explanation:
Answer:
$0.75
Step-by-step explanation:
6.00/8 = 0.75
also check with
0.75 x 8 = 6.00
HOPE THIS HELPS :)
If lina takes an assignment at 4:30 and it takes her 12 minutes to complete it at what time did she finished?
Answer: 4:42
Step-by-step explanation:
4:30 + 0:12 = 4:42
Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID
소
C
What is the length of segment CD?
Answer:
4
Step-by-step explanation:
I took a quiz
Please help. Use your calculator to work out. (:
Answer:
83.6155156
Step-by-step explanation:
\( \frac{ {16}^{2} - 17 }{ \sqrt{2.3 + 5.87} } \\ \\ = \frac{ 256 - 17 }{ \sqrt{8.17} } \\ \\ = \frac{ 239}{2.85832119 } \\ \\ = 83.6155156 \\ \)
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats in 10 seconds .Write an equation for h, the number of times Noah’s heart beats (at this rate) in m minutes.
Answer:
Step-by-step explanation:
48h = m
Answer:
80
Step-by-step explanation:
Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend. How many miles will she have run in 6 weeks?
Rachel will have ran 114 miles in six weeks.
There's five weekdays in a week: (3.2 x 5) = 16 miles
There's two days in a weekend: (1.5 x 2) = 3 miles
16 [weekday] + 3 [weekend] = 19 miles [7-day week]
(19 x 6) = 114 miles
Hope this helps, please mark brainliest. Have an amazing rest of your day and stay safe! xx
What is the pattern rule for 1,4,19,94,469,2344
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
For more such questions on polynomial, click on:
https://brainly.com/question/1600696
#SPJ8
Write an equation for the line in point slope form that passes through (4,3) and (2,-2).
Answer:
y-3=5/2×(x-4)
Step-by-step explanation:
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²1 in a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer. a blank answer scores 0. mike scored a total of 0 and he did not leave all of the answers blank
a) Either 3 or 4 questions did Mike answer correctly.
b) Either 7 or 8 questions did Sheila answer correctly.
What is a equation in math?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
a) Let mike did x correct
then, incorrect will be (10- x)
The equation is:
Now, 5x + (10 - x) (-3) = 0
=> 5x - 30 + 3x = 0
=> 8x = 30
=> x = 30/8
=> x > 3 and x < 4
b) Let Sheila did y correct
then, incorrect = (10 - y)
Now, 5y + (10 - y) (-3) = 32
=> 5y - 30 + 3y = 32
=> 8y = 62
=> y > 7 and y< 8
Learn more about Equation at:
https://brainly.com/question/29657992
#SPJ4
The given question is incomplete, complete question is:
In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.
A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?
You need to borrow $2550 to help contribute to an upcoming family reunion. You can borrow the money from two different banks.
Bank A will lend you $2550 for six months at an interest rate of 11.5%
How much money will you owe at the end of each period of time? Which bank offer will you choose and why?
Bank B will lend you $2550 for twelve months at an interest rate of 7.5%
Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.
How to calculate the simple interest?The formula to calculate the simple interest is;
I = PRT
Where;
P is principal
R is rate
T is time
Now, we are given that;
Bank A;
Principal amount; P = $2550
Interest rate; R = 11.5% = 0.115
Time; t = 6 months = 0.5 years
Thus;
I = (2550 * 0.115 * 0.5)
I = $146.625
Amount to be repaid = 2550 + 146.625
Amount to be repaid = $2,696.625
Bank B;
Principal amount; P = $2550
Interest rate; R = 7.5% = 0.075
Time; t = 12 months = 1 year
Thus;
I = (2550 * 0.075 * 1)
I = $191.25
Amount to be repaid = 2550 + 191.25 = $2,741.25
Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.
Read more about simple interest at; https://brainly.com/question/20690803
#SPJ1
5.13.1 - Test: Functions Unit Test
4A Math 8 Q4 / 5. Functions / 5.13. Functions Unit Test
PLS HELPPP
What are the next three terms in the sequence?
–6, 5, 16, 27, …
A. 38, 49, 60
B. 37, 47, 57
C. 36, 45, 54
D. 36, 46, 57
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year?
A. 48 bulbs
B. 384 bulbs
C. 768 bulbs
D. 1,536 bulbs
What are the first four terms of the sequence represented by the expression n(n – 1) – 5?
A. –7, –5, –3, 1
B. –5, –10, –15, –20
C. 0, 2, 6, 12
D. –5, –3, 1, 7
A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop in 5 seconds. Which graph shows the car’s speed over time?
Use the graph below to answer the question that follows.
Which statement describes the speed of the remote-control car over time?
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
B. The speed of the car increases from 4 mi/h to 2 mi/h in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
C. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds.
D. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds.
Given the function rule f(x) = x² – 5x + 1, what is the output of f(–3)?
A. 7
B. –5
C. 25
D. 5
Suppose you earn $12 each time you mow the lawn. Which function describes the relationship between your total earnings E and the number of times you mow the lawn, m?
A. E(m) = m + 12
B. m = 12E
C. E(m) = m – 12
D. E(m) = 12m
The data in the table illustrate a linear function.
x=0,2,4,6
y=-5,-2,1,4
What is the slope of the linear function? Which graph represents the data?
Which hill described in the table is the steepest and why?
A. Dixie Hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie Hill; it rises three-fifths foot for every 1 foot of horizontal travel.
C. Bell Hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty Hill; it rises 1 foot for every 5 feet of horizontal travel.
Which graph represents the linear function y = start fraction 1 over 5 end fractionx – 2?
Which graph represents the linear function y = –2x + 3?
Which function rule represents the data in the table below?
A. y = 4 + 5x
B. y = 3 + 6x
C. y = 5 + 4x
D. y = 6 + 3x
Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours?
A. y = 9.50x
B. y = 6.00x + 3.50
C. y = 3.50x + 6.00
D. y = 2.5x
The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
A. y = 1.10(x – 1) + 1.35
B. y = 1.10x + 1.35
C. y = 1.35x + 1.10
D. y = (1.10 + 1.35)x
Which function rule represents the data in the table?
A. y = –3x – 8
B. y = one-thirdx – 8
C. y = one-thirdx + 8
D. y = 3x + 8
Which quadratic rule represents the data in the table?
A. y = –2x² + 5
B. y = –x² + 5
C. y = x² – 5
D. y = x² + 5
Note: For questions 19–21, your teacher will grade your responses to ensure you receive proper credit for your answers.
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
Explain how to write a function rule from the table below. Then write a function rule.
x=0,2,4,6
y=2,1,0,-1
The graph below shows the average daily temperature over the period of a year. Explain how each labeled section of the graph relates to the four seasons.
Find the volume of the right cone below. Round your answer to the nearest tenth if
necessary.
Answer:
V = (1/3)π(3^2)(11) = 33π = 103.4
we know the diameter of the cone is 6, so its radius must be half that, or 3.
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=11 \end{cases}\implies V=\cfrac{\pi (3)^2(11)}{3} \implies V\approx 103.7\)
Dave borrowed $7400 from his uncle with simple interest of 6% and eventually repaid $8288 (principal and interest). What was the time period of the loan?
The time period of the loan was 1 year.
23 is what percent of 92
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
for such more questions on thermometer
https://brainly.com/question/9765708
#SPJ8
What is the value of the expression? Do not use a calculator.
tan
Tan2pie/3
The value of tan 2π/3 without calculator is -√3.
What is the value of tan 2π / 3 without calculator?The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;
the value of π = 180 degrees
So we can replace the value of π in the function with 180 degrees as follows;
tan ( 2π / 3) = tan (2 x 180 / 3)
tan (2 x 180 / 3) = tan (2 x 60)
tan (2 x 60) = tan (120)
tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.
tan (120) = - tan (180 - 120)
= - tan (60)
= -√3
Learn more about trig identities here: https://brainly.com/question/7331447
#SPJ1
(b) The population consists of all 15-year-olds living in the attendance district of a local high school. You plan to obtain a simple random sample of 200 such residents by using the student roster of the high school as the sampling frame. (Select all that apply.)
Home-schooled students cannot be sampled.
Dropouts cannot be sampled.
Students who are on a school trip cannot be sampled.
Students who are out sick cannot be sampled.
Students who are skipping class cannot be sampled.
The people that would not be sampled would be:
Dropouts cannot be sampled.Home-schooled students cannot be sampled.How to determine the groups that cannot be sampled.We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.
The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.
Read more on random sampling here:
https://brainly.com/question/17831271
#SPJ1
Select the true statement.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
The maximum water depth at Lake Tahoe, California in 2014 was 1644 feet. Because of the drought, the water level has been decreasing at an average rate of 6.2 feet per year. Create a model for the depth of the lake
Answer:
i would suggest putting this in a line graph
Step-by-step explanation:
the y axis can be the depth while the x axis can be the time passed since 2014
If y varies directly as x, and y = 8 when x = 4, find y when x = 24.
The value of y is 48
How to calculate the value of y in the variation ?y= kx
let's solve for k which is the constant
y= 8 , x= 4
k= 8/4
k= 2
Next is to calculate the value of y when x is 24
y = 2 × 24
y= 48
Hence the value of y is 48
Read more on variation here
https://brainly.com/question/16593778?referrer=searchResults
#SPJ1
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation: