Answers
Related Questions
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
Answer:
\(x=30\\y=68\\z=82\)
Step-by-step explanation:
x = measure of the first angle
y = measure of the second angle
z = measure of the third angle
The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)
\(y+z=5x\)
The third angle is 14 more than the second
\(z=y+14\)
And remember that the sum of these three angles must be equal to 180.
\(x+y+z=180\)
Let's take these equations
\(y+z=5x\\z=y+14\\x+y+z=180\)
If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....
\(x+y+z=180\\x+(y+z)=180\\x+(5x)=180\)
Distribute the + sign
\(x+5x=180\)
Combine like terms;
\(6x=180\)
Divide by 6.
\(x=\frac{180}{6}\\ x=30\)
We have now defined that the measure of the first angle is 30º.
Let's take another equation... for example \(z=y+14\)
I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.
\(x+y+z=180\\30+y+(y+14)=180\)
Distribute the + sign and Combine like terms;
\(30+y+y+14=180\\44+2y=180\\\)
Subtract 44 to isolate 2y.
\(2y=180-44\\2y=136\)
Now divide by 2.
\(y=\frac{136}{2}\\ y=68\)
We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.
\(x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82\)
Solve UW. how do I get the answer?
Answers
Answer:
UW = 67
Step-by-step explanation:
UW = 6x - 35
VW = 4x - 20
UV = 19
So that means
4x - 20 + 19 = 6x - 35
4x - 1 = 6x - 35
-1 = 2x - 35
34 = 2x
x = 17
6(17) - 35
102 - 35 = 67
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
19 + ( 4x - 20 ) = 6x - 35
4x - 1 = 6x - 35
2x = 34
x = 17
UW = 6(17) - 35 = 67
The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?
Answers
let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
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sally’s department store just had a huge sale and now needs to increase the price of all items by 200%. what will be the price of a $22.00 shirt after the markup?
Answers
Answer:
44.00
Step-by-step explanation:
you take the 22.00 and then multiply it by 200% and you get 44.00
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface. (2 points)
Answers
Without additional information about the model house, it is impossible to accurately describe the surface that Molly does not need to paint. It could be any surface that will not be visible when the model house is displayed, such as the underside of a roof, the back of a wall, or the bottom of a floor.
Write a cosine function that has a midline of
�
=
5
y=5, an amplitude of 4, a period of
�
2
2
π
, and a horizontal shift of
�
4
4
π
to the right.
Answers
The cosine function that satisfies the given conditions is:
y = 4cos((2π/2)(x - 4)) + 5
Midline: The midline of the function is y = 5, which is the average value of the function. In the cosine function, the midline corresponds to the vertical shift of the graph. Therefore, we add 5 to the function to shift it vertically upwards.
Amplitude: The amplitude is 4, which represents the maximum distance between the midline and the peak or trough of the function. In the cosine function, the amplitude is the coefficient multiplying the cosine term. Here, the coefficient is 4.
Period: The period of the function is 2π/2, which is half the regular period of the cosine function. The period determines how frequently the function repeats itself. In this case, we use the coefficient (2π/2) inside the cosine term to adjust the period accordingly.
Horizontal Shift: The function has a horizontal shift of 4π/4 to the right. This shift corresponds to the value subtracted from the x-variable inside the cosine term. Here, we subtract (4π/4) or simply π from (x - 4) to achieve the desired shift.
The cosine function that satisfies the given conditions is:
y = 4cos((2π/2)(x - 4)) + 5 Combining all these components, we obtain the function y = 4cos((2π/2)(x - 4)) + 5, which satisfies the given conditions.
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A relation R on a set A is defined to be irreflexive if, and only if, for every x ∈ A, x R x; asymmetric if, and only if, for every x, y ∈ A if x R y then y R x; intransitive if, and only if, for every x, y, z ∈ A, if x R y and y R z then x R z. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.
Answers
Answer:
OMG IM ON THE SAME QUESTION
Step-by-step explanation:
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles?
∠W ≅ ∠C
∠W ≅ ∠D
∠W ≅ ∠A
Answers
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
HELP PLEASE : For numbers 3 & 4, draw a triangle for each to find the missing side.
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1) b = 2
2) c = 20
Explanation:
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
3) b = 2.24
4) c = 15.62
Step-by-step explanation:
Pythagorean formula:
a² + b² = c²
3)
a² + b² = c²
2² + b² = 3²
4 + b² = 9
b² = 5
b = 2.24
4)
a² + b² = c²
10² + 12² = c²
100 + 144 = c²
244 = c²
c = 15.62
Helppp me pleaseeeeeee
Answers
Answer:
where is ur question bro?
Answer:
what is your doubt
question??
1. Find extrema and intervals of increasing and decreasing the function
\(y = \frac{ {e }^ { - (x + 2)} }{x + 2} \)
2. Find inflection points and intervals of concavity and convexity of the function:
\(y = \frac{2x - 1}{(x - 1) ^{2} } \)
Answers
The function y = (e⁻⁽ˣ⁺²⁾) / x + 2 increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but concave downwards along (-∞, 1) ∪ (1 ,∞)
Extrema and Intervals of a FunctionAn extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.
The function given;
y = (e⁻⁽ˣ⁺²⁾) / x + 2
The extrema and intervals of increase or decrease of this function are
(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)
2. The inflection points and intervals of concavity and convexity of the function
y = 2x - 1 / (x - 1)² are
The function has no inflection pointsIt's concave downwards along (-∞, 1) ∪ (1 ,∞)Learn more on intervals of a function here;
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Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?
Answers
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.
Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.
If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.
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Find the width of a rectangle with an area of 13 3/4 square feet and a length of 5 1/2 ft
Answers
Answer:
2.6
Step-by-step explanation:
Could you mark this the brainlist
Answer:
2.5 or 2 1/2 ft is the width
Step-by-step explanation:
Area of rectangle = length × width
(13 3/4 can also be written as 13.75)
(5 1/2 can also be written as 5.5)
Area = l × w
13.75 = 5.5 × w
13.75 ÷ 5.5 = w
2.5 = w
Is the following number rational or irrational?
7.11
Choose 1 answer:
Rational
Irrational
Answers
Answer: Rational
Step-by-step explanation: Only numbers that go on infinitely like pi or the square root of 7 are irrational
Using the calculations for each ingredient:
How much did Hector's homemade sandwich cost?
That’s the picture of the prices please help this is due today!!
Answers
On solving the provided question we can say that to plot data - dread = $0.16; Turkey = $1.24; Cheese = $0.30
what is plotting data?The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables. Diagrams created by hand or on a computer are also acceptable. Move 2 units to the right after starting at the origin before going 3 units up. The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points. The pink dot with the letter P thus stands for 2.3. Before creating a line chart, you need first generate a number line for each value in your data collection. Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.
to plot data -
dread = $0.16
Turkey = $1.24
Cheese = $0.30
Lettuce = $0.06
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Determine a series of transformations that would map Figure X onto Figure Y.
Answers
Check the picture below.
Amelia rented a dvd and it was due to be returned on 26 november
she actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Anyone help please!!!!!
Answers
Answer:
Step-by-step explanation:
I'm not familiar with the conversions from American dollars. I can help you solve it though.
Count how many days from Nov 26 to Dec 26 and multiply that by 9p.
It's 30 days by 9p. Take that total and convert it.
Hopefully this helps you.
Find the missing angle
Answers
90 minus 63 equals 37
Answer:
27 degrees
Step-by-step explanation:
x together with 63deg form a right angle (90deg)
x + 63 = 90
x = 90 - 63
x = 27
Lol im SimpForKirishima my account got baneed comeback kait
Answers
Answer:
ion know who that is but heyyyy and they did u dirty
Step-by-step explanation:
Answer:
RIP, you will be rested in peace
Step-by-step explanation:
You are doing a case study of the death of John F Kennedy. You employ many data collection methods in
creating your case study. Here is an excerpt:
John F Kennedy was assassinated on November 22, 1963 in Dallas, Texas. Of the people that I
surveyed that were alive at the time, 90% of them knew exactly where they were when they heard the
news. My grandmother told me that she was in a college class when the professor came in and told
the class the news. A tear came to her eye when she remembered that day.
Which line reveals information obtained by a questionnaire?
A. John F Kennedy was assassinated on November 22, 1963 in Dallas, Texas.
B. Of the people surveyed that were alive at the time, 90% of them knew exactly where they were
when they heard the news.
C. My grandmother told me that she was in a college class when the professor came in and told the
class the news
D. A tear came to her eye when she remembered that day.
Answers
Answer:
B
Step-by-step explanation:
PLEASE ANSWER AT LEAST 1. IF YOU ANSWER 2 I WILL GIVE BRAINEST, THANKS, 5 STARS, AND EXTRA 50 POINTS! 20 POINTS FOR EACH QUESTION ANSWERED. PLEASE HELP!!!
1. A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3. If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?
2. The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?
3. If the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m, what is the value of B, the area of the base?
4. What is the volume of a rectangular prism with a length of 15 yards, a width of 8 yards, and a height of 5 yards?
5. A teacher purchased a fish tank for her classroom. The dimensions of the tank are 36 inches by 60 inches by 48 inches. What is the maximum amount of water that the tank can hold?
Answers
Answer:
2nd ones answer is 13.5 m.
4th ones answer is 600 yard³.
5th ones answer 86400 cm³/m³
Please give 20 point for each question.
why do you divided by 5?
Answers
you divide by five to find the quotient
x/5=y
5y=x
Answer:
becasue 5 is a good number to be divided by
Step-by-step explanation:
The temperature in Abu Dhabi is 28°C. The temperature in Moscow is 16°C colder. What is the temperature in Moscow
Plss help
Answers
Answer:
12 degrees celsius
Step-by-step explanation:
28 - 16=12
hope it helps
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
Answers
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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can someone please help me
50 points
Answers
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answers
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%
Answers
So find 56 in terms of percentage of 112. To do so, simply divide 56/112 to get 0.5. That is 50.0% in terms of percentage.
The answer is B.
Solve the inequality: -2x + 7 < 23
Answers
Answer:
x > -8
Step-by-step explanation:
-2x + 7 < 23
Subtract 7 from each side
-2x + 7-7 < 23-7
-2x < 16
Divide by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
Step-by-step explanation:
\( = - 2x + 7 < 23\).
Move the constant to the right side..
\( = - 2x < 23 - 7\)
Subtract 7 from 23
\( = - 2x < 16\)
Change the symbol and reverse the symbol of the inequality to other direction...
\( = 2x > - 16\)
Now....divide both side by the same number
\( = x > - 8\)
A half circle is joined to an equilateral triangle with side lengths of 12 units.Select all the expressions that correctly calculate the perimeter of the shape.
Answers
The perimeter of the figure described in the question is 42.84cm
How to get the perimeter of the figure?The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.
So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.
The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:
C = 3.14*D
In this case, the circumference of half circle is:
C = 3.14*D/2
Replacing the value of the diameter:
C = 3.14*12cm/2 = 18.84cm
Adding the two sides of the triangle we get the perimeter.
P = 18.84cm + 2*12cm = 42.84cm
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
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.
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