What is the measure of the missing angle:
1150
75°
?
750
40°
40°
35°
Answer: The measure of the missing angle is 115∘.
Step-by-step explanation: To find missing interior angles, you have to add the two angles that are known and see how much they add up. The work is done below:
40∘ + 75∘ = 115∘.
In order to find out the missing interior angle, we have to subtract 115∘ from 180∘ to find that angle:
180∘ - 115∘ = 65∘, which is the missing angle that is inside the triangle.
Now, you're probably wondering how any of this has to do with finding the angle that has a ? on it. Well, us finding the missing interior angle inside of the triangle is what's going to help us find that angle with a ? on it. To find that angle, you need to subtract 65∘ from 180∘ to find the angle that you need:
180∘ - 65∘ = 115∘.
Therefore, 115∘ is your answer.
Let me know if this is right! :)
Suppose you have a tray that is 10 inches squared in area. Choose objects to fill the tray (e.g. muffins, cookies, etc.). Then, establish both a quantity of objects AND the overall density of the objects on the tray.
This is a practical exercise. However, the following definitions and equations will help you to arrive at the density of the objects you will put on the tray.
What is density?Population density is defined as the number of people (in this case) items (N)/area of space that they occupy. (A)
Note that the area to be occupied by the items you will put on the Square Tray is 10 X 10 = 100inches.
Assuming the number of items that you put on the tray (that is total number of muffins, cookies, biscuits etc) equals 50,
The Density will be = 50/100
= 0.5 objects/In
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2. Find the general relation of the equation cos3A+cos5A=0
[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi[/tex]
Step-by-step explanation:Find angles[tex]cos3A+cos5A=0[/tex]
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Transform the expression using the sum-to-product formula[tex]2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0[/tex]
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Combine like terms[tex]2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]
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Divide both sides of the equation by the coefficient of variable[tex]cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]
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Apply zero product property that at least one factor is zero[tex]cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0[/tex]
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Cos (8A/2) = 0:Cross out the common factor[tex]cos\ 4A=0[/tex]
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Solve the trigonometric equation to find a particular solution[tex]4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}[/tex]
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Solve the trigonometric equation to find a general solution[tex]4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}[/tex]
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cos(-2A/2) = 0Reduce the fraction[tex]cos(-A)=0[/tex]
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Simplify the expression using the symmetry of trigonometric function[tex]cosA=0[/tex]
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Solve the trigonometric equation to find a particular solution[tex]A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}[/tex]
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Solve the trigonometric equation to find a general solution[tex]A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z[/tex]
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Find the union of solution sets[tex]A=\frac{\pi}{2}+n\pi[/tex]
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A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ ZFind the union of solution sets[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z[/tex]
I hope this helps you
:)
Sasha is making custom designs using the small trapezoidal prism she wants to cover each of the eight prisms in her current design in striped cloth on all sides she has 3500 cm² of stripped cloth does Sasha have enough cloth to cover all a prisms in her current design choose from the drop-down menu to correctly complete the statement
What is the total price of a boat with an original price of 12916$, if it is sold at a 15% discount? The sales tax rate is 3 3/4 %
Answer:
$11390.30
Step-by-step explanation:
Discount
12916 x 0.15 = 1937.4
Discounted price
12916 - 1937.4 = 10978.6
Tax of 3 and 3/4 percent which I think is 0.0375
10978.6 x 0.0375 = 411.6975
Total
10978.6 + 411.6975 = $11390.2975
When given angle measures of 15°, 65°, and
90°, is it impossible to draw a triangle, possible
to draw only one triangle, or possible to draw
more than one triangle? Explain.
Answer:
it is impossible
Step-by-step explanation:
all shapes need to have all angles to add up to 180 but this triangle adds up to 170
What is the value represented by the letter E on the box plot of the data?
45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90
Answer:
90
Step-by-step explanation:
90 because it's your maximum.
Solve each equation a x - b x / x + C equals D if a cannot equal to B + d
Answer:
x=dc/a-b-d
I hope this helps
A cylinder has a base diameter of 6 feet and a height of 2 feet. What is its volume in cubic feet, to the nearest tenths place?
The cylinder that has a diameter and height of 6 feet and 2 feet respectively has a volume of 56.5 ft³
Volume of a cylindervolume of a cylinder = πr²h
where
h = heightr = radiusTherefore,
radius = 6 / 2 = 3 feet
height = 2 feet
volume of the cylinder = 3.14 × 3² × 2
volume of the cylinder = 3.14 × 9 × 2
volume of the cylinder = 3.14 × 18
volume of the cylinder = 56.52
volume of the cylinder = 56.5 ft³
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Find m
This is geometry math
Answer: 120
Step-by-step explanation:
Please help fast. PLEASE PLEASE PLEASE
Answer:
D
Step-by-step explanation:
By subtracting the second part of the equation, you are doing the same as adding a negative.
How many different ways can three people from leni isko ping leody manny selected to attend a meeting
The selection of the three people is an illustration of combination
The number of different ways the three people can be selected is 10
How to determine the number of selection?From the question, we have the following parameters:
Number of people, n = 5Number of people to select, r = 3The number of different selections is then calculated using the following combination formula
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!3!}[/tex]
Evaluate the difference
[tex]^5C_3 = \frac{5!}{2! * 3!}[/tex]
Evaluate the quotient
[tex]^5C_3 = 10[/tex]
Hence, the number of different ways the three people can be selected is 10
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What are the removable discontinuities of the following function? f (x) = startfraction x squared minus 36 over x cubed minus 36 x endfraction x = –6, x = 0, and x = 6 x = –6 and x = 6 x = 0 and x = –6 x = 0 and x = 6
The removable discontinuity is at negative 6 and 6. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is given as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x^3-36x}[/tex]
The expression can be written as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x(x^2-36)}[/tex]
[tex]f\rm (x) = \dfrac{1}{x}[/tex]
The non-removable discontinuity is x = 0.
More about the function link is given below.
https://brainly.com/question/5245372
Answer :its B
Step-by-step explanation: got it right on edg 2022
answwer this please for 20 points and brainiest
Answer:
ur mom
Step-by-step explanation:
8%
Find the surface are of the rectangular prism below.
Answer:
The surface of the rectangular prism is 268
Step-by-step explanation:
SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps
Find the center and radius of the circle given by this equation x^2- 10x + y^2 + 6y -30=0
Answer:
center=(5,-3)
radius = 2 unit
Step-by-step explanation:
Answer:
(5,-3) radius-- 2
Step-by-step explanation:
Write an equation in slope-intercept form of the line shown.
A graph of a line. The line passes through ordered pair 1 comma negative 3 and ordered pair 3 comma 1.
An equation is
Answer:
y= - 1/2x +2.5 or the slope is 2 if were going positive y-int is the same
Step-by-step explanation:
Rose is 60 inches tall. How many feet tall is Rose?
Enter the correct answer in the box.
Answer: 5 feet
Step-by-step explanation:
Answer: 5 feet
Step-by-step explanation:
(3x • 6)(6x • 4) it's asking me to make another equation to equal
Answer:
(18x) * (24x)
Step-by-step explanation:
Please help! Will mark brainlyest.
(0,-2)
it'll remain same
hope it helps...!!!!
What size pizza should she order to get 37.68in of crust?
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Answer:
↝[tex]r = \frac{471}{25\pi} [/tex]
Solution:
[tex]2\pi r = 37.68[/tex]
[tex] \frac{2\pi r}{2\pi} = \frac{37.68}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi}[/tex]
[tex]r = \frac{471}{25\pi} [/tex]
────────────────────
If u evaluate it it will become
=5.996958256
════════════════════
Explanation:
#Carry on learning
Give the appropriate theorem or postulate that can
be used to prove the triangles similar:
A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate
Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.
The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side lengths of the window?
The perimeter of a triangular window is the sum of its side lengths
The side lengths of the window are 33 inches, and 54 inches
How to determine the side lengths?The ratio is given as:
Ratio = 11: 18 : 18
Rewrite as:
Ratio = 11x: 18x : 18x
Express as sum
Sum = 11x + 18x + 18x
Sum = 47x
The perimeter is 141 inches.
So, we have:
47x = 141
Divide both sides by 47
x = 3
Recall that:
Ratio = 11x: 18x : 18x
So, we have:
Ratio = 11*3: 18*3 : 18* 3
Ratio = 33: 54 : 54
Hence, the side lengths of the window are 33 inches, and 54 inches
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Write two equivalent expressions to represent the sum of the angles of this triangle.
please help I can't remember how find the sums of a triangles angles
100 points
Answer:
Step-by-step explanation:
The 3 angles add up to 180 degrees
2y + 2y + 5y = 180
9y = 180
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]
So, the required expression is :
[tex]\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180[/tex]
or
[tex]\qquad \tt \dashrightarrow \:9y = 180[/tex]
if you solve for y, you will get y = 20°
And the angles as 100°, 40° and 40°
Write the next three terms of the geometric sequence 2916,972,324,108
Step-by-step explanation:
The common ratio is: r=0.3333333333333333
The sum of this series is: s_4=4320
The general form of this series is: a_n=2916*0.3333333333333333^(n-1)
How can I save the earth
Answer:
Recycling etc.
Step-by-step explanation:
Eliminate Waste from Lunches.
Stop Littering.
Reduce Paper Consumption.
Save Electricity.
Save Water.
Swap Regular School Supplies.
Bring Reusable Bags to the Grocery Store.
Walk to School or Take a Bike, Avoid Taking Cars or Carpool When Possible.
If using the method of completing the square to solve the quadratic equation x^2-5x-27=0 which number would have to be added to "complete the square"?
Answer:
can you mark brainliy
Step-by-step explanation:
x²-5x+(-5/2)²=27+(-5/2)²
(x-5/2)²= 133/4
x-5/2= ±√(133/4)
x= (5/2)± √(133/4)
x= ...
CaN AnYoNE hElP?~ find the area pls.
326.555 in2
349.45 in2
303.66 in2
607.32 in2
Answer:
Im pretty sure the answer is B) 349.45 in^2
Step-by-step explanation:
Hope This helps
Have A great Day
~Zero~
Do number 7 please thanks
Answer:
120%
Step-by-step explanation:
1998/1665 = 1.2
1.2x100 = 120%
The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?
f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,
f(2) - f(1) = -0.6 - 0.7 = -1.3
so for all natural numbers n, we should have
f(n) - f(n - 1) = -1.3
Then
f(6) - f(5) = -1.3 ⇒ f(6) = -4.5 - 1.3 = -5.8
f(7) - f(6) = -1.3 ⇒ f(7) = -5.8 - 1.3 = -7.1