In ∆ABC,
Angle A = 60°
Angle B = 45°
To Find:The measurement of Angle C.
We know that the sum of all the interior angles of a triangle is 180°.
Explanation:Angle A + Angle B + Angle C = 180°
By putting the respected values, we get
60° + 45° + Angle C = 180°
or, 105° + Angle C = 180°
By transposition method, we get
Angle C = 180° - 105°
Angle C = 75°
Answer:The measurement of Angle C is 75°
THE DIFFERENCE OF
TWO NUMBERS IS 10,WHILE THEIR PRODUCT IS 39.FIND THESE NUMBERS
The numbers are 13 and 3.
Let the numbers be x and y. Equation representing difference of these numbers-
x - y = 10 : equation 1
Equation representing product of these numbers- x × y = 39 : equation 2
Rewriting the equation 2 in terms of y
y = 39/x : equation 3
Keeping the value of y from equation 3 in equation 1
x - 39/x = 10
Multiplying the equation by x
x² - 39 = 10x
Rearranging the equation
x² - 10x - 39 = 0
Factorising the equation
x² - 13x + 3x - 39 = 0
x(x - 13) +3 (x - 13) = 0
(x + 3) (x - 13) = 0
Value of x = 13 and -3
Taking positive value of x
Keeping value of x in equation 3
x = 13
y = 39/13
y = 3
Hence, the numbers are 13 and 3.
Learn more about equations -
https://brainly.com/question/26310043
#SPJ9
(Please need help )Cedrick traded his Halloween candy with his friends. He likes Snickers as his favorite
candy. If Cedrick had 32 pieces of candy, and after trading with his friends, came home
with 28 Snickers. What percent of his candy consists of Snickers?
Answer:
87.5%
Step-by-step explanation:
28/32=0.875
0.875*100= 87.5
87.5% of 32 = 28
At a particular factory, every product is inspected by two men. The first inspector catches 80% of the defectives and sends them back for repairs. All the remaining items are sent to a second inspector, who misses about 40% of the defectives that get past the first inspector.
Given that a product was found to be defective, what is the probability that it was found by the first inspector?
The probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.
What is probability?Probability is a linear scale measurement of the likelihood of an outcome occurring out of many possible outcomes.
Probability refers to the chance that something or an event happens when other events could have occurred.
Probability is measured in percentages, fractions, or decimals. The probability of an outcome does not exceed one. When it is one, it shows that the event is certainly going to happen.
Data and Calculations:Percentage of defectives found by the first inspector = 80%
Percentage of defectives not found by the first inspector = 20% (1 - 80%)
Percentage of defectives not found by the second inspector = 40%
Percentage of defectives found by the second inspector = 60% (1 - 40%)
Thus, the probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.
Learn more about probability at https://brainly.com/question/13604758
#SPJ1
i need to find the slope like asap help thanks
Answer:
1
Step-by-step explanation:
Using a slope triange we can see that the rise is 1 and the run is 1 and 1/1=1
You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean backpack weight.
Give your answer as a decimal, to two places
Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
find the domain and function of y=6+9x/6-|x-1|
Thank you so soooo much for the help!!
======================================================
Explanation:
Rule: We cannot divide by zero.
Because of that rule, we'll set the denominator equal to zero and solve for x. This way we can determine the x value(s) that are to be excluded from the domain.
6 - |x-1| = 0
|x-1| = 6
x-1 = 6 or x-1 = -6
x = 6+1 or x = -6+1
x = 7 or x = -5
Those x values are to be excluded from the domain, since they make the denominator zero.
Imagine a number line in which we poked open holes at -5 and 7
The portion to the left of -5 is x < -5The portion between -5 and 7 is -5 < x < 7The portion to the right of 7 is x > 7Combining everything gets us x < -5; -5 < x < 7; x > 7
Problem
Tapiwa raked 5%, percent more leaves than Adam raked. Tapiwa raked 357liters of leaves.
How many liters of leaves did Adam rake?
The 340 liters of leaves did Adam rake.
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let X = the liters of leaves that Adam raked.
We have to find How many liters of leaves did Adam rake.
According to given question we have
Convert 5.0% into a decimal by moving the decimal point two spaces to the left we get
Then Tapiwa raked X + .05X liters of leaves is equal to 1.05X liters of leaves is equal to 357.
Divide both sides by 1.05
X = 340 liters
Therefore, the 340 liters of leaves did Adam rake.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ1
For the following data, approximate the mean number of unused vacation days at the end of the year.
column chart ( (Days Frequency)(1-3 1)(4-6 22)(7-9 14)(10-12 2)(13-15 17) )
The mean number of unused vacation days is 8.64.
What is the mean number?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
To find the mean of the unused vacation days, find the midpoint of the upper and lower boundary and then multiply by its respective frequency and divide the sum by the sum of frequency.
Days Frequency Mid point (mid point x frequency)
1 - 3 1 (1 + 3) / 2 = 2 (2 x 1) = 2
4 - 6 22 (4 + 6) / 2 = 5 (5 x 22) = 110
7 - 9 14 (7 + 9) / 2 = 8 (8 x 14) = 112
10 - 12 2 (10 + 12) / 2 = 11 (11 x 2) = 22
13 - 15 17 (13 + 15) / 2 = 14 (14 x 17) = 238
Sum 56 484
Mean - 484 / 56 = 8.64
To learn more about mean, please check: https://brainly.com/question/25842202
#SPJ1.
What is the answer to this question?
The line which shows another way to name the ray LR is line: LD.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
What are collinear points?Collinear points can be defined as three or more points that all lie on the same straight line (single line). Based on the geometric figures shown in the image below, the three collinear points include the following:
Point MPoint LPoint DPoint RIn this scenario, the line which shows another way to name the ray LR is line LD because it points upward in the same direction as ray LR.
Read more on collinear points here: https://brainly.com/question/24391959
#SPJ1
I GIVE BRAINLILSTE
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
A
Step-by-step explanation:
He increased by 10% because of 80% to 90% is 10%
So, the Answer is A
Answer:
12.5%
Step-by-step explanation:
The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.
First, find the difference 90-80=10
Then find the percent of 80 that the difference is.
10/80=0.125
0.125 in a percent form is 12.5%
So, there was a 12.5% increase.
Which point is located at 3/4
Answer:
The point with coordinates (-3,4) is located in quadrant II. The point with coordinates (-4,0) is located on the x-axis. The point with coordinates (0, -5) is located on the y-axis.
Answer:
in the upper right Quadrant.
Step-by-step explanation:
I hope this helps
PLEASE HELP!!!!
Directions:
In Australia, huge trees are filled with birds or sunset. Although it can be hard to see these birds at first, you can always here them! Write a decimal and a percent for each fraction.
Question:
The parrots in the tree, 8/12 are green, Round to the nearest hundredth
Teacher made a table to show which months her students birthdays took place. There are four birthdays in August and in total they are 33 students. What is the ratio of students with August birthdays to the total number of students
Answer:
4:33 or 4/33
Step-by-step explanation:
2x + 4y =450 4x + 2y = 420
2x+4y=450
2x=450-4y
x=450-4y÷2----- equation 1
4x+2y=420
4x=420-2y
x=420-2y÷4----- equation 2
putting the value of x in equation 1
x=450-4y÷2
420-2y÷4=450-4y÷2
2(420-2y)=4(450-4y)
840-4y=1800-16y
840-1800=-16y-4y
-960= -12y
y=80
putting the value of y in equation1
2x+4y=450
2x+4×80=450
2x+320=450
2x=450-320
2x=130
x=130÷2
x=65
the value of x is 65 and y is 80At a concession stand, one hot dog and one hamburger cost $2.75; one hot dog and cost $11.75 . Find the cost of one and the cost of one .
The cost of hot dogs are 1.25 and the cost of hamburgers are 1.50.
How to calculate the cost?Let x=hot dogs a/
Let y = hamburgers
x + 7y = 11.75
x + y = 2.75
Subtract the second equation from the first.
x + 7y = 11.75
-(x + y = 2.75)
------------------------
6y = 9.50
divide by 6
y = 1.50
Substitute the y value in the simplest equation to solve for x
x + y = 2.75
x + 1.50= 2.75
-1.50 -1.50
x = 1.25
Hot dogs are 1.25 and hamburgers are 1.50.
Learn more about cost on:
https://brainly.com/question/25109150
#SPJ1
At a concession stan,one hot dog and one hamburger cost $2.75, one hot dog and seven hamburgers cost $11.75. Find the cost of one hot dog and one hamburger
is y=9(2x) linear or non linear
Answer:
Linear
Step-by-step explanation:
You can simplify the equation by distributing the 9 in:
y = 18x ⇒ And this equation is indeed linear
So, that means that y = 9(2x) is linear
Hope this helps! :)
y = 9(2x) is a linear function as the function given exactly one output for one input.
Given that,
To determine whether the given expression is a linear function or nonlinear function,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The given function y = 9(2x)
Simplifying the given function,
y = 18x
Above relation shows that y has linear relationship with x,
Thus, y = 9(2x) is a linear function as the function gives exactly one output for one input.
learn more about function here:
brainly.com/question/21145944
#SPJ6
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
Step-by-step explanation:
Original = $874,990
New = $769,991
874,990 - 769,991/874,990
104,999/874,990
0.12
Turn to percentage
0.12 * 100
= 12%
Answer:
12%
Step-by-step explanation:
Given:
Original list price = $874,990New list price = $769,991Percent change formula
[tex]\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100[/tex]
Substitute the given values into the formula:
[tex]\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}[/tex]
Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.
1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if peter shop has 81 plain colored shirts how many more printed shirts than plain shirt
Answer:
Step-by-step explanation:
Let total shirts be x.
Then, Striped shirts = 1/9x
Remaining Shirts= 8/9x
Therefore, Printed Shirts = 5/8 × 8/9x
= 5/9x
Remaining Shirts
or
Plain Shirts= x - ( 5/9x + 1/9x )
= 3/9x
Acc. to problem,
Plain Shirts=81
Therefore,
3/9x=81
=> x=81×9/3
=> x=27×9=243
Therefore,
Total Shirts= 243
I hope that helps you
Answer: 54
It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D
Can someone help me please
Answer:
[tex]2x^2+4x+2[/tex]
Step-by-step explanation:
[tex](f \circ g)(x)=f(g(x)) \\ \\ =f(x+1) \\ \\ =2(x+1)^2 \\ \\ =2(x^2+2x+1) \\ \\ =2x^2+4x+2[/tex]
Answer:
the other answer is right mark them as brainliest!!!
Step-by-step explanation:
I need help answering this question if possible please.
The value of cotθ where θ is in fourth quadrant is [tex]-\frac{5}{\sqrt{171} }[/tex] which is option (A).
Trigonometric ratios are defined as the values of all trigonometric functions based on the aspect ratio values of a right triangle. The ratio of the sides of a right triangle to one of its acute angles is known as the trigonometric ratio of that particular angle. The three sides of a right triangle are: hypotenuse (longest side) , vertical (opposite of angle) , Base (side adjacent to corner) According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides.
It is given that cosθ = 5 /14 . ....(1)
As we know that cosθ = Base / Hypotenuse ...(2)
On comparing equation (1) and (2) , we get
Base = 5 and Hypotenuse = 14
Using Pythagorean theorem , we get
Hypotenuse² = Perpendicular² + Base²
14² = P² + 5²
196 = P² +25
171 = P²
± [tex]\sqrt{171}[/tex] = P
Then , cotθ = Base / Perpendicular
= ±[tex]\frac{5}{\sqrt{171} }[/tex]
As in fourth quadrant cotθ is negative so cotθ will be negative.
So , we will consider the negative value .
Cotθ = - [tex]\frac{5}{\sqrt{171} }[/tex]
Learn more about trigonometric ratio here :
https://brainly.com/question/11967894
#SPJ9
HELP PLEASE EITHER ONE!! JUST SHOW ME HOW!! THANK YOU
Can someone help with this question. “Write an equation of the inverse of the relation y=2x-3”
1/4 = ?/8 Please help :(
Answer:
1/4 = 2/8
Step-by-step explanation:
—Math1/4 = p/8
p = 8/4
p = 2
Follow my account^^
Help me Plssssssssssssss
Answer:
86 is the answer as it is the number after 85
Question
Find the volume of a cone with height 5 feet and radius of its base 5 feet. Use 3.14 for it. Round the answer to the nearest
hundredth.
Answer:
26.183 ft^3
Step-by-step explanation:
Step one:
given
cone
height 5 feet and
radius of its base 5 feet
Required
The volume
Step two:
the formula for the volume of a cone is
v=1//3πr^2h
substitute
v= 1/3*3.142*5*5
v=78.55/3
v=26.183 ft^3
pls help worth a lot of points
When combining lengths to make a new length does the order or lengths matter? ( this is the acrobat Cecil tightrope thing)
Answer: It does not matter.
Step-by-step explanation:
Its because of the commutative property.
2y−3x=−27
5y+3x=6
x=x=x, equals
y=y=y, equals
Answer:
x = 7
y = -3
Step-by-step explanation:
You can add both standard equations to cancel out x, and solve for y.
Because -3x + 3x = 0.
Then substitute the solved y value into either equation to find x.
why do you think baby Yoda is awsome admit it you can resist the cuteness of baby Yoda do the math you can't
Answer:
I love baby Yoda.
Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3
Answer:
Baby Yoda is indeed very cute
Step-by-step explanation:
They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression
for Cecil's weight in terms of Dylan's weight.
Answer: Cecil’s weight is the sum of Alan's weight and Bruce's weight.
Alan’s weight in terms of Dylan's weight is 2d + 3.
Bruce’s weight in terms of Dylan's weight in 3d − 12.
So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).
Here’s theAnswer a question here’s the photo