Answer:
circumference of a circle =2 pi r
radius=14/2=7
2×3.14×7=43.96ft
The circumference of the circle is 43.96 ft.
Given,
Diameter of the circle = 14 ft
π = 3.14
We need to find the circumference of a circle.
What is the circumference of a circle?The circumference is the total length of the surface of the circle.
The circumference is given by:
= 2πr
r = radius of the circle
Diameter = 2radius
Example:
We have,
Diameter = 14 ft
π = 3.14
Radius = diameter / 2 = 14/2 = 7 ft
Circumference:
= 2πr
= 2 x 3.14 x 7
= 43.96 ft
Thus the circumference of the circle is 43.96 ft.
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Which situation best represents a proportional relationship?
Answer:
Option (3)
Step-by-step explanation:
Two variables 'x' and 'y' show the proportional relationship if,
y ∝ x
y = kx
Here, k = Proportionality constant
Option (1)
If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.
For y = 3 and x = 2,
3 = 2k
k = 1.5
For y = 6 and x = 3
6 = 3k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option A doesn't show the proportional relationship.
Option (2)
Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
For y = 20 and x = 4,
20 = 4k
k = 5
For y = 24 and x = 6,
24 = 6k
k = 4
Here, proportionality constant is different in both the cases.
Therefore, there is no proportional relationship.
Option (3)
Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.
For y = 27 and x = 9
27 = 9k
k = 3
For y = 81 and x = 27,
81 = 27k
k = 3
Here, proportionality constant is k = 3 for both the cases.
Therefore. Option (3) is the answer.
Option (4)
Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.
For y = 8 and x= 2.
8 = 2k
k = 4
For y = 16 and x = 8,
16 = 8k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option (4) is not the answer.
what are the steps to this?
Answer:
B=112
Step-by-step explanation:
Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112
Answer:
b = 112°
Step-by-step explanation:
The two angles from a straight line. so, they add to 180° .
b + 68° = 180°
subtract 68° from each side
b + 68° - 68° = 180° - 68°
b = 112°
4 people can paint a house in 6 hours.
a)
How long would it take 1 person to paint the house?
Answer:
24 hours
Step-by-step explanation:
4 people can do the work in 6 hours
4*6 = 24 work hours
It will take 1 person 24 work hours to complete the job
Answer:
24 hours
Step-by-step explanation:
This question is a tricky one, but easy to solve at the same time. Normally the answer to this question would be 1 person = 24 (blank). But since we are talking about time, unit rates would not help very much. Multiply 4*6=24. It would take one person (assuming he goes as fast ad the others) 24 hours to complete the job.
Solve: 8(x + 4) = 5(x + 3)
ANSWER! PLS
Answer:
I think -3x-17 sorry if wrong
Step-by-step explanation:
8x+ 32= 5x+15
-3x-17
Answer:
[tex]8(x + 4) = 5(x + 3) \\ 8x + 32 = 5x + 15 \\ 32 - 15 = 8x - 5x \\ [/tex]
-3x-17
Considering recurring decimals, the fraction 20⁄3 can be expressed as
7.77
6.66
3.66
9.88
Answer:
20/3=6.6666666666
Step-by-step explanation:
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Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Meaning of Congruent quadrilateralsA quadrilateral can be defined as a polygon shape that possesses four sides.
Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.
For example, a parallelogram needs to be proved by both the sides and the angles
In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
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Is Social Darwinism a justifiable reason to colonize other areas of the world and exploit the people and resources of that region?
Answer:
Social Darwinism provided an ideological justification for the social inequalities that capitalism had brought with it: these would result from the hereditary inferiority of the poor and the hereditary excellence of the richer classes, which are best enjoyed under a laissez-faire system. Applied to peoples and races, it became a justification for racism and imperialism.
As can be seen, social Darwinism is a retrograde political and philosophical stance, which considered different ethnic or national groups as different in terms of capacity or development possibilities. Therefore, since this position has been regarded as false, social Darwinism has no justification in our time.
help please!! where do the points go?
Answer:
See below.
Step-by-step explanation:
You can graph by finding ordered pairs for each function.
6. The diagram on the right shows right-angled triangles POR
and PRS. Given that tan 0 =
3
4
in em, the length of
(a) PR
(b) RS
Q
9 cm
R
Answer:
The answer is below
Step-by-step explanation:
Trigonometric ratios shows the relationship between the sides of a right angled triangle and its angles. Some trigonometric ratios are:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent.
In triangle PQR:
tanθ = QR / PQ
substituting gives:
3/4 = 9 / PQ
PQ = 9 * 4 / 3 = 12 cm
Applying Pythagoras in triangle PQR gives:
PR² = PQ² + QR²
PR² = 12² + 9²
PR² = 144 + 81 = 225
PR = 15 cm
Also in triangle PRS:
PS = (5/3)PR = (5/3)*15 = 25 cm
PS² = PR² + RS²
25² = 15² + RS²
625 = 225 + RS²
RS² = 400
RS = 20 cm
Which is equivalent to 38*?
o
8³x
[tex] \sqrt[3]{83} [/tex]
d
Find the zeros of each quadratic function using any method.
f(x)=(2x+1)(x-3)
===================================================
Explanation:
Set each factor equal to zero and solve for x. This is using the zero product property.
(2x+1)(x-3) = 0
2x+1 = 0 or x-3 = 0
2x = -1 or x = 3
x = -1/2 or x = 3
If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.
4(x+1)=2x+4
what is the value of x?
Answer:
x=0
Step-by-step explanation:
4(x+1)=2x+4
Distribute
4x+4 = 2x+4
Subtract 4 from each side
4x+4-4 = 2x+4-4
4x= 2x
Subtract 2x from each side
4x-2x = 2x-2x
2x=0
Divide by 2
x =0
Answer:
x = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
4(x + 1) = 2x + 4
Step 2: Solve for x
Factor: 4(x + 1) = 2(x + 2)[Division Property of Equality] Divide 2 on both sides: 2(x + 1) = x + 2[Distributive Property] Distribute 2: 2x + 2 = x + 2[Subtraction Property of Equality] Subtract x on both sides: x + 2 = 2[Subtraction Property of Equality] Subtract 2 on both sides: x = 0I don’t understand the problem or question
Answer:
Part A
a. Could be a parallelogram but cannot be a rectangle
Part B
c. 100°
Step-by-step explanation:
Part A
The polygon constructed by Andrew = Four sided polygon having no right angles
From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus
The rectangle, and square both have 4 right angles
Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square
The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'
Part B
The given parameters of the rhombus EFGH are;
Angle E = 3·x + 5, angle H = 4·x
The characteristics of a rhombus are;
The sum of the interior angles of a rhombus = 360°
The opposite angles of a rhombus are equal
The sum of the adjacent angles = 180° (The adjacent angles are supplementary)
Therefore, in the rhombus EFGH, we have;
Angle E, and angle H are supplementary angles
∴ Angle E + angle H = 180°
Substituting the values of angle E and angle H gives;
3·x + 5 + 4·x = 180°
7·x = 180° - 5 = 175°
x = 175°/7 = 25°
Angle H = 4·x
∴ Angle H = 4 × 25° = 100°
Angle H = 100°
Angle F = angle H = 100°
Therefore, angle F = 100°
Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
Set up an equation and solve for x
Answer:
x = -10
Step-by-step explanation:
verticle angles are congruent
80 + x = 70
Subtract 80 from both sides
x = -10
what is the length of AB
Answer:
I think the answer is 6.6
Find the surface area of the space figure represented by the net.
245.5 cm2
263 cm2
173.5 cm2
191 cm2
Answer:
B. 263 cm²
Step-by-step explanation:
Surface area of the figure represented by the net = area of all parts of the net which consists of 3 rectangles and 2 triangles
✔️Area of the first two equal rectangles = 2(L*W)
L = 12 cm
W = 6 cm
Area of the first two equal rectangles = 2(12*6)
= 144 cm²
✔️Area of the third rectangle = L*W
L = 12 cm
W = 7 cm
Area = 12*7
= 84 cm²
✔️Area of the two equal triangles = 2(½*b*h) = b*h
b = 7 cm
h = 5 cm
Area = 7*5
= 35 cm²
✔️Surface area of the space figure = 144 + 84 + 35
= 263 cm²
Consider the trapezoid shown below.
6 in.
4 in.
6 in.
6 in.
(not drawn to scale)
Answer:
36
Step-by-step explanation:
1/2bh
1/2 (6*4) =12
Considering there are three triangles we will multiply by 3
12*3=36
I need the answer to 3 times 300
Answer:
900
Step-by-step explanation:
3*300=900
Answer:
3 x 300=900
brainly me pls
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
Find mZSGH if mZFGH = 108°
Answer:
22
Step-by-step explanation:
FGH - FGS = SGH
108 - 86 = 22
Answer:
∠ SGH = 22°
Step-by-step explanation:
∠ FGS + ∠ SGH = ∠ FGH , that is
86° + ∠ SGH = 108° ( subtract 86° from both sides )
∠ SGH = 22°
find the T.A for the prism
Answer:
I dont know
Step-by-step explanation:
I have no clue I know nothing about math
which inequality is represented by this graph
Answer:
[tex]x\geq -53[/tex]
Step-by-step explanation:
Answer:
x ≥ -53
Step-by-step explanation:
Here is a trick the arrow is going to the right so the arrow in the inequality must go to the right and if the circle is closed there must be a line under the arrow in the inequality.
Can I get Brainliest please!
If 12 rolls of toilet paper cost $4 how many rolls of toilet paper can you buy for $8?
Answer:
24 rolls
Step-by-step explanation:
12 rolls x rolls
------------ = ------------------
4 dollars 8 dollars
Using cross products
12*8 = 4x
96 = 4x
Divide by 4
96/4 = 4x/4
24 =x
24 rolls
Anyone know the answer ?!? Let me know please !!!
Answer:
25/35 = .71 = 71%
Step-by-step explanation:
(First correct answer will get brainliest) Find the value of x that makes CDE FGH
Answer:
x =3
Step-by-step explanation:
We can use a ratio to solve
4x 18
------ = ----------
18 27
4x*27 = 18*18
108x=324
Divide each side by 108
x =3
Which of the following represents the range of the graph below?
10l
- 10
10
- 10
Answer:
y>0
Step-by-step explanation:
The range is the values the y can take
We see that y is greater than zero
y>0
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
Mean=7.7
Median=7
Mode=10 and 6
Range=7
Answer:
Mean = 7.7
Median = 7
Mode = 6 and 10
Step-by-step explanation:
Arrange the data in ascending order :
4 , 6 , 6 , 7 , 10 , 10 , 11
Mean is the sum of the data by number of data.
[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]
Median is the middle number.
[tex]Median = \ 7[/tex]
Mode most frequent value in the data
[tex]Mode = \ 6 \ and \ 10[/tex]
convert the surveyor's bearing 145° to a compass bearing
Answer:
S55°E is the compass bearing
Step-by-step explanation:
145° - 90° = 55°
The bearing will be in between South and East because from North to South is 180° and 145° is bigger than 90°
Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?
Answer:
The answer is 3.
Step-by-step explanation:
To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.