Answer:
x=8 and y=21
Step-by-step explanation:
12x-28=7x+12 (the 2 angles are equivalent)
12x-7x=12+28
5x=40
x=8
9y-77 + 12x-28 =180 (the sum of those 2 angles is a flat angle (180°))
9y-77+12*8-28=180
9y=180+28+77-96
9y=189
y=21
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
A sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum.
*Round to 2 decimal places and write out "inches"
Answer:
1.81 inches
Step-by-step explanation:
We are told that the sheet of metal to be used measures 12 inches by 10 inches.
Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.
Thus;
Length; L = 12 - 2x
Width; W = 10 - 2x
Height; H = x
Volume of the box is;
V = LWH
V = (12 - 2x)(10 - 2x)x
Factorizing out, we have;
V = 4x[(6 - x)(5 - x)]
Equating V to zero, we can find the domain of the function;
At V = 0,
4x = 0; 6 - x = 0 ; 5 - x = 0
x = 0, x = 6, x = 5
The dimensions have to be positive. Thus;
0 ≤ x ≤ 5
Expanding the volume equation;
V = 4x[30 - 5x - 6x + x²]
V = 4x[30 - 11x + x²]
V = 4x³ - 44x² + 120x
dV/dx = 12x² - 88x + 120
Equating to zero to find the value of x that makes volume maximum;
12x² - 88x + 120 = 0
Using quadratic formula gives;
x = 1.81 or 5.52
From our domain, we have 0 ≤ x ≤ 5.
1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.
Answer:1.81
Step-by-step explanation:
x=1.81
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
I need help please help me guys with the correct answer
Answer:the answer is D
Step-by-step explanation:
it is
Solve the following exponential equation 23x+1 = 52x-3. Give an exact answer and an
approximation to 4 decimal places if needed. Show all work.
Answer:
x = 0.1379
Step-by-step explanation:
23x + 1 = 52x - 3
-23x -23x
-----------------------
1 = 29x - 3
+3 +3
------------------
4 = 29x
÷29 ÷29
-------------------
x = 0.1379
what's the sum of 6+y
Answer:
6y?
It's probably wrong but off the top of my head, 6y
Find the unit rate and slope of the graph (ignore what I put down)
Answer:
slope: 5/7
0.714 mile per hour
Step-by-step explanation:
slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)
Mile per hour: 5/7 cross multiply with x/1, make into an equation:
7x=5 x 1
7x = 5
x = 0.714
Please help i need it done asap
Thank you have a great day
what is the measure of the larger angle in this degree?
It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series?
The answer is 5841 minutes.
Which expression is equivalent to sqrt(80)?
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
HELP
A house on the market was valued at $357,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house
Decrease :
Current value :
Answer:
$324,870.00
Step-by-step explanation:
357,000.00 x .09 = $32,130.00
357,000.00 - $$32,130.00 = $324,870.00
Analyzing Intersections of Lines and Planes
Use the given diagram to answer the question.
Which line is the intersection of two of the planes
shown?
х
V
w
Which line intersects one of the planes shown?
B
z
Which line has points on three of the planes shown?
Done
DO
Answer:
x z y
Step-by-step explanation:
i took the assignment
Answer:
X , Z , Y
Step-by-step explanation:
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
PLZ HURRY IT'S URGENT!!!
What is the linear inequality shown in the graph?
options:
y≥2x−4
y 2x−4
Answer:
option 1
Step-by-step explanation:
hope that helps you :)
Answer:
y>/ 2x -4
Step-by-step explanation:
This >/ means the line underneath
Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer
Answer:
The area of given figure is: 179.3
Step-by-step explanation:
The figure consists of a rectangle and a semi-circle
The length of rectangle is 14 and width is 10.
The width of rectangle is also the diameter of the semi-circle.
So,
d = 10
[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]
Area of Semi-Circle:
[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]
Area of Rectangle:
[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]
The total area will be the sum of area of rectangle and the area of semi-circle
So,
[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]
Rounding off to nearest tenth
The total area is: 179.3
Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
To learn more about triangle visit:
https://brainly.com/question/27682397
#SPJ1
Find the rate of change
Answer:
The rate of change of function is: 2
Step-by-step explanation:
Using the given table we have to exclude two pairs of input and output.
The rate of change or slope of function is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We take first two pairs of input/output from the table
(x1,y1) = (1,11)
(x2,y2) = (2,13)
Putting the values
[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]
Hence,
The rate of change of function is: 2
what expression gives the solution to -5+2x^2=-6x
Answer:
Step-by-step explanation:
2x² + 6x - 5 = 0
D = 36 + 40 = 76 = (2√19)²
[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2
[tex]x_{2}[/tex] = ( - 3 + √19) / 2
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
What is the slope of the line?
-2
1/2
1
2
In the diagram find m angle BAC
Answer:
I'm thinking b not 100 percent sure
Answer:
The answer is B) 122 degrees
Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
y=½x+5
Step-by-step explanation:
Passes through, (1,3)
Perpendicular to x-2y=-8.
Step 1
write the equation in form of y=mx+c
x-2y=8
-2y=-x+8
Dividing both sides of the equation by -2 we get;
y=-x/2+8
y=-½x+8
Thus the gradient is -½. Call it M1
Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e
M1 × M2= -1
Solve for M2
-½×M2=-1.
Dividing both sides by -½ we get
M2=-1×-2
M2=2Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8
Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).
Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.
Slope=∆x/∆y
M2=(x-1)/(y-3)
but M2 is 2
2=(x-1)/(y-3)
2/1=(x-1)/(y-3) Note: 2= 2/1
Cross multiplying we get:
2(y-3)=1(x-1)
Open the brackets
2y-6=x-1
Solve for y so as to write the equation in form of y=mx+c
2y=x-1 +6
2y=x+5
Divide both sides of the equation by 2
y=x/2+5
y=½x+5The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams
ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!
Answer:
ummm did you need help or....
Step-by-step explanation:
cause you got the answer right....
13 is 26%of what number
120 is 30% of what number
Answer:
1. 50%
2. 400
Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.
Answer: 4. Transporting quests to and from the airport and sightseeing trips.
Step-by-step explanation:
Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.
Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.
If the r-value, or correlation coefficient, of a data set is 0.841, what is the
coefficient of determination to three decimal places?
Answer: 0.707
Step-by-step explanation:
Answer: 0.707 is the correct answer!!
Step-by-step explanation:
5.) According to the Bureau of Labor Statistics, in 2012, 33% of
all American computer systems analysts were women. 145,000
women were doing this job. How many men were doing the same
job?
a. 47,850
b. 439,394
c. 294,394
d. 584,394
PSA this is due the 12th so please help me
Simplify the expression. 55−4x5+12
Answer:
First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.
Answer: 62.5
Step-by-step explanation:
Hope this helps!
:)