Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
click the red heart button to give thanks :) happy holidays
Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
I need help with this question in Geometry.
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
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Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?
A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain
Miami gets 6.12 more inches of rain.
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68
While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Hence, For Miami;
= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68
= 25.02
For Tampa;
= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69
= 18.90
Thus, Find difference as;
= 25.02 - 18.90
= 6.12
Therefore, Miami gets 6.12 more inches of rain.
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Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.
Given:
The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples.
To find:
what fraction of a ton did they give away?
Solution:
According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,
[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]
[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]
So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.
Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.
Lin drove her car at a constant speed 164 miles in 4 hours. Manuel rode his motorcycle 140 miles in 3.5 hours. Who rode faster? By how much?
Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)
And he was faster by 30 minutes...
This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)
Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
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The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?
Answer:
What are the answers?
Step-by-step explanation:
what is the circumference
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.
HELPPPPPPPPPPPPPPPPPPP!!!
Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
3.2 geometry worksheet
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
y+1=5(x−9) is it linear or non-linear?
Answer:
yes its linear
Step-by-step explanation:
3/4 divided by 1/5
HELPPP
Answer:
3.75
Step-by-step explanation:
3/80 as a fraction maybe
3 3/4 as a mixed fraction
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D
Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$
Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
What is the completely factored form of this polynomial? 4x4+12x2+9
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
plz mark as brainliest i tryed my best im sure its right
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
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Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0