Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?
Answer:
the new surface Will be 1/4 pf the old surface
Step-by-step explanation:
because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.
so 294:4 Is 73.5
excuse me for my bad English but I'm italian
What's 0. (6) as a percentage?
Answer:
Write as a percent.0.6 = 0.60 = 60%
Answer:
Its 60 percentage
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
Please teach me these question step by step. Thank you
Answer:
a. 499
Step-by-step explanation:
a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.
the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.
Find the x-intercept or the
y-intercept of 8x+2y=6.
a. (0,3)
b. (3,0)
c. (-3,0)
d. (0,-3)
0,3 is the y-intercept (wich is always at x=0)
see screenshot for illustration.
you meant y-intercept, right?
Someone help on these
Problem 5
Start with the 30-60-90 triangle template
If you divide all values in that template by 2, then you'll get the diagram shown below.
Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2
So that diagram shows that cos(30) = sqrt(3)/2
Answer: Choice A) 30 degrees===========================================================
Problem 6
Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive
tan = sin/cos = negative/negative = positive
So tangent is positive in Q3
Answer: Choice C) tangent===========================================================
Problem 7
Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.
So,
cos(170) = cos(-170)
Then we'll find a coterminal angle of -170 which involves adding on 360
-170+360 = 190
The angles -170 and 190 point in the exact same direction
This then means cos(170) = cos(-170) = cos(190)
Or in short, cos(170) = cos(190)
Answer: Choice A) cos(190)what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answer:
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The _____________ may be the average of 2 values in a data set.
A. range
B. interquartile range
C. mode
D. median
Answer:
as per my nowledge ans wud be b
as A means difference of highest and lowest
C means value appearing frequently
D means middle number or ascending or descending sequence
beainliest plz
Answer:
b
i dont want brainlist
Step-by-step explanation:
2-6=? need help please
Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖
Answer:
[tex]x =2[/tex]
Step-by-step explanation:
Given
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Required
Find x
We have:
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Apply exponent rule
[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]
[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]
Apply product and quotient rules of logarithm
[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]
[tex]\log (5x^4) =\log(80)[/tex]
Cancel log on both sides
[tex]5x^4 = 80[/tex]
Divide by 5
[tex]x^4 = 16[/tex]
Take 4th roots of both sides
[tex]x =2[/tex]
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?
Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
The number of used books sold will be 7 and that of the new book will be 9.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given
Number of used books = u
Number of new books = v
In the first case;
12u + 4n = 136
In the second case;
28u + 4n = 248
By both equations,
u = 7 and n = 9
So the number of used books is 7 and the new is 9.
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Answer:
eegwhwiwveejekjeevwhejecs
If 3x + 6y = 7z, find x + 2y in terms of z.
Answer:
Does the answer help you?
if 2x + 3x.find the value of x
if 2x + 3x = ? the question is incomplete or is it about traingle
11) Seven times a number subtracted from 29 gives 43. Find the number.
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x-2=-14
29-(-14)=43
hope this helps :)
10. What is the smallest number that can be added to 367 to produce a result divisible by 3?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer:
The smallest Number added to 367 to produse a result divisible by 3 is
(B) 2
EXPLANATION:
(A) 1
367 + 1 = 368
368 NOT DIVISIBLE BY 3
(B) 2
367 + 2 = 369
369 IS DIVISIBLE BY 3
Answer:
Hello,
Answer B
Step-by-step explanation:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Since 3+6+7+=3*(1+2+2)+1
we need to add 2 to the number.
Answer B
Simplify this expression: 4(1 – 26) + 76 – 10.
Answer:
-b - 6
Step-by-step explanation:
4(1 - 2b) + 7b - 10
Apply the distributive property:
4(1 - 2b) + 7b - 10
(4)(1) + (4)(−2b) + 7b + (−10)
4 + (−8b) + 7b + (−10)
Combine like terms:
4 + −8b + 7b + −10
(−8b + 7b) + (4 - 10)
-b - 6
Answer:
-b - 6
Step-by-step explanation:
4 (1 - 2b) + 7b - 10
4 - 8b + 7b - 10
-b - 6
will mark brainliest help!
In parallelogram ABCD, m∠B = 105°.
What is the value of x. (Round your answer to the nearest tenth, if necessary.)
Answer:
52.5
Step-by-step explanation:
Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement
Now, m<B = 105°, since ABCD is a parallelogram, <B = <D
so, m<ADC = 105° so, m<ADE = 180°-105° = 75°
Now, m<EAD+m<AED+m<ADE = 180°
or, m<AED+m<AED+m<ADE = 180°
or, x+x+75°=180°
or, 2x=180+75°
or, 2x=105°
or, x=52.5°
Someone please help me find y if you don’t mind Thankyouu so much
Answer:
Step-by-step explanation:
Decreasing rate = 12% = 0.12
y = 2400 * (1- 0.12)^x = 2400*(0.88)^x
x = 8 years
[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]
Do you think mathematics is used when collecting and reporting your data ? Give your reasons.
which is greaterr 0.5 or 0.14
Answer:
To determine which number is greater, 0.5 or 0.14, you must determine which of the two has a higher ratio with respect to a whole number. Thus, since 0.5 is equal to 1/2 and 0.14 is equal to 7/50, 0.5 is the greater number.
find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
If mn, solve for x.
(3x + 9) (x + 21)
2
3x. + 63x + 9x + 189
Step-by-step explanation:
Use distributive law, in other words multiply the first bracket terms by the second bracket terms
please help me! asap!
Answer:
First option
Remove 2 tiles
the sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
Answer:
r = 100
6.5r = 650
Step-by-step explanation:
let r be resistors.
6.5r + r = 750
Simplify:
6.5r + r = 750
7.5r = 750
------ ------
7.5 7.5
r = 100
100 × 6.5 = 650
One resistor is 100 ohms, and he other is 650 ohms.
Hope this helped.
The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
S O L U T I O N :According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size
Let us assume the other resistor's size be x
Here,
The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x
Given that : the sum of two resistors in 750 ohms
1st Resistor + 2nd Resistor = 750 ohms 6.5x + x = 750 ohms7.5x = 750 ohms x = 750/7.5 ohms x = 100 ohmsFINDING SIZE :
First Resistor's Size = 6.5x = 6.5*100 = 650 ohms
Other Resistor's Size = x = 100 ohms
_________________________________[Note : Symbol of ohm is Ω]
What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3
Answer:
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3
Step-by-step explanation:
A trigonometric function is the same as
[tex]f(x) = a \cos(b(x + c)) - d[/tex]
Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.
Given the function
[tex]7 \cos(2x + \pi) - 3[/tex]
The amplitude is 7, and the midline is -3. The period is
[tex] \frac{2\pi}{2} = \pi[/tex]
The phase shift is
[tex]2x + \pi = 0[/tex]
[tex]2x = - \pi[/tex]
[tex]x = - \frac{\pi}{2} [/tex]
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3.
Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.
For which of the following sample sizes will the sampling distribution be approximately normal?
Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/
A) 25
B) 50
C) 75
Answer:
B. 50
Step-by-step explanation:
Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.
Find the volume of this object.
Use 3 for it.
Volume of a Cylinder
V= Tr2h
Volume of a Cone
V= Tr?
3
8 in
4 in
13 in
V~ [?]in3
We are required to find the volume of the object which comprises of a cylinder and a cone
The volume of the object is 108 in³
Volume of a cylinder = πr²h
π = 3
r = diameter / 2 = 4 in / 2 = 2 in
h = 8 in
Volume of a cylinder = πr²h
= 3 × (2 in)² × 8 in
= 3 × 4 in² × 8 in
= 96 in³
Volume of a cone = πr²h/3
= (3 × (2 in)² × 3 in) / 3
= (3 × 4 in² × 3 in) / 3
= 36 in³ / 3
= 12 in³
The volume of the object can be found by adding the volume of the cylinder and the volume of the cone
Total volume = Volume of a cylinder + Volume of a cone
= 96 in³ + 12 in³
= 108 in³
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The drama club sells sweatshirts for $9 dollars each to raise money for their club.
Answer the questions below .
Answer:
m=9n
Step-by-step explanation:
Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27
The equation for the total money raised will be m = 9n.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.
From the table:-
The number of Sweatshirts Money raised
1 9
3 27
4 36
The equation will be written as:-
m = 9n
m = 9 x 1 = 9
m = 9 x 3 = 27
m = 9 x 4 = 36
Therefore, the equation for the total money raised will be m = 9n.
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