Answer:
Step-by-step explanation:
Circumference of a circle is expressed as;
C = 2πr
r is the radius of the circle
Given
C = 53.38cm
radius r = 8.5cm
Substitute into the formula to get π
From the formula;
π = C/2r
π = 53.38/2(8.5)
π = 53.38/17
π = 3.14cm
The value of pi is 3.14 cm
Answer:
It's C
Step-by-step explanation:
What is the probability that a point chosen at random in the triangle is also in the blue square?
O 1/6
O 1/3
O 1/2
O 1
Answer:
1/3
Step-by-step explanation:
Area of a triangle = 1/2 x base x height.
Area of the shown triangle = 1/2 x 9 x 6 = 27 square inches.
Area of blue square = 3 x 3 = 9 square inches.
The probability of being in the blue are of the triangle = 9/27 which reduces to 1/3
please first click on the image.
the question :
If the pattern continues , what algebraic expression can be used to find the number of circles used in any figure ? how many circles will be in the 50th figure ?
Let the figure number be x.
Then the equation will be:
3x
There will be 3x circles in the figure number x.
So, number of circles in 50th figure will be
= 3(50)
= 3 × 50
= 150 circles
The number of circles in the 50th figure is 150 circles.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Here a pattern is shown in the form of the circles.
In the Figure 1, there are 3 circles.
In the figure 2, there are 6 circles.
In the figure 3, there are 9 circles.
It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.
So for the nth figure,
Number of circles will be 3n.
So for 50th figure, number of circles = 3 × 50 = 150 circles
Hence the number of circles in the 50th figure is 150.
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Please answer as fast as possible see the image
Answer:
111.9 units
Step-by-step explanation:
Area of semicircle: 1/2(πr^2)
r = 3
1/2(π(3)^2)
33.92920065
Area of Rectangle: w * l
l = 13
w = 3(2)
13 * 3(2) = 13 * 6 = 78
Total:
78 + 33.9 = 111.9 units
Answer:
92.1Step-by-step explanation:
total area = rectangle + semicircle
= (13 x 6) + (1/2 π 3²)
= 78 + 14.1
= 92.1
Find the product of all real values of r for which 1/2x=r-x/7
Answer:
[tex]r = \±\sqrt{14[/tex]
[tex]Product = -14[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]
Required
Find all product of real values that satisfy the equation
[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]
Cross multiply:
[tex]2x(r - x) = 7 * 1[/tex]
[tex]2xr - 2x^2 = 7[/tex]
Subtract 7 from both sides
[tex]2xr - 2x^2 -7= 7 -7[/tex]
[tex]2xr - 2x^2 -7= 0[/tex]
Reorder
[tex]- 2x^2+ 2xr -7= 0[/tex]
Multiply through by -1
[tex]2x^2 - 2xr +7= 0[/tex]
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
[tex]b^2 - 4ac = 0[/tex]
For a quadratic equation
[tex]ax^2 + bx + c = 0[/tex]
By comparison with [tex]2x^2 - 2xr +7= 0[/tex]
[tex]a = 2[/tex]
[tex]b = -2r[/tex]
[tex]c =7[/tex]
Substitute these values in [tex]b^2 - 4ac = 0[/tex]
[tex](-2r)^2 - 4 * 2 * 7 = 0[/tex]
[tex]4r^2 - 56 = 0[/tex]
Add 56 to both sides
[tex]4r^2 - 56 + 56= 0 + 56[/tex]
[tex]4r^2 = 56[/tex]
Divide through by 4
[tex]r^2 = 14[/tex]
Take square roots
[tex]\sqrt{r^2} = \±\sqrt{14[/tex]
[tex]r = \±\sqrt{14[/tex]
Hence, the possible values of r are:
[tex]\sqrt{14[/tex] or [tex]-\sqrt{14[/tex]
and the product is:
[tex]Product = \sqrt{14} * -\sqrt{14}[/tex]
[tex]Product = -14[/tex]
One company estimates same-day delivery as more than three less than half the total number of miles. Which
graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Option D is correct, the region above of the line y=x/2-3 that we can write as y>x/2-3
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We know by reading the exercise that the company estimates same day delivery as a region of the miles.
y>x/2-3
We need to represent this region in a graph.
One way is to find the graph of y=x/2-3
This line will divide the plane into two regions. Then, using any point that verifies the original equation we can find the graph.
y=x/2-3
If x=0
y=-3
The point (0, -3) is the interception of the line with y-axis.
Now if y=0
0=x/2-3
3=x/2
6=x
The point (6, 0) is the interception of the line with x-axis.
We know that y>x/2-3 will be the region above of or below of the line y=x/2-3
Now using an arbitrary point (0,0), for example and replacing in the expression :
0>-3
The point (0, 0) verifies the expression. Therefore, this point belongs to the region.
Finally, we conclude that the region is the region above of the line y=x/2-3 that we can write as y>x/2-3 and the correct option is D.
Hence , option D is correct, the region above of the line y=x/2-3 that we can write as y>x/2-3
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(I will give brainliest and extra points if you help me!! <3)
Solve three and one half times one and two thirds.
A) three and two sixths
B) four and two sixths
C) five and five sixths
D) six and five sixths
Answer:
im guessing c. I got 5.833333333
Step-by-step explanation:
Answer:
Mixed number: 5 5/6. Decimal 5.8333333.
Step-by-step explanation:
3 1/2 x 1 2/3
(3 x 2) + 1 = 7/2
(1 x 3) + 2 = 5/3
7/2 x 5/3 = 35/6
35 ÷ 6 = 5 5/6.
So its C.
Which city is the largest percent of people taking the train
Answer:
new york
Step-by-step explanation:
it has the highest number
WEATHER The highest and lowest recorded temperatures for the state of Texas are 120°F and -23°F. Find the difference in these extreme temperatures?
Answer:
the answer is 143°
Step-by-step explanation:
120 - (-23) = 143
The difference between the highest and the lowest temperature will be 143 Fahrenheit.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the highest and lowest recorded temperatures for the state of Texas are 120°F and -23°F.
The difference will be calculated by forming the equation below:-
Difference = 120 - ( -23 )
Difference = 120 + 23
Difference = 143
Therefore, the difference between the highest and the lowest temperature will be 143 Fahrenheit.
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what is the value of the expression x = 9 and y = 4
Answer:
1. 13
2. 18
If I'm wrong please let me know
Write a real-world division story for 8/2. Then write another real-world story that shows a different way to think about division
Answer:
Kinda cheesy:)
Step-by-step explanation:
If you what to give 2 friends candy and all you have is 8 pieces of candy, each friend will get 4 pieces of candy.
If (72)p = 76, what is the value of p? (5 points)
A. 2
B. 3
C. 4
D. 8
Answer:
8
Step-by-step explanation:
Marin Caswell needs 10% hydrochloric acid for a chemistry experiment. How much 5% acid should she mix with 60 milliliters of 20% acid to get a 10% solution?
Answer:
120 mL of 10% HCL will be used.
Step-by-step explanation:
to solve this, we have to generate an equation for the mixture, to get the volume of 10% HCl needed.
Let the volume needed = x
5% of x + (20% of 60ml) = 10% of ( 60 + x) ml of new mixture
0.05x + (0.2 × 60) = 0.1 × (60 + x)
0.05x + 12 = 6 + 0.1x
12 - 6 = 0.1x - 0.05x
6 = 0.05x
x = 6 ÷ 0.05
x = 120
Therefore, 120 mL of 10% HCL will be used.
What is the fraction equivalent to 3/9?
Answer:
1/3 or 2/6
Step-by-step explanation:
hope this helps :)
Mark studied a group of 30 whales. If each whale weird approximately 3.8x10.5 pounds, find the total weight of all 30 whales. Express in Scientific notation.
Answer:
1.197 * 10^3 lbs
Step-by-step explanation:
3.8 * 10.5 = 39.9 lbs each
Now, we multiply 39.9 by 30, which is 1197 lbs in total
In scientific notation, 1197 is 1.197 * 10^3
I hope this helped, please mark Brainliest, thank you !!
Answer:
114 × 10 ^ 5
Step-by-step explanation:
30: Number of whales
380,000: weight of each whale
30 × 38,000 = 11,400,000 total weight
Scentific notation: Expressing large numbers in a smaller way so
114 × 10 exp 5
PLS HELP ASAP
(2,9)(3,4)(-2,5) is this a function
Answer:
Not a function
Step-by-step explanation:
when plotted the points do not form a line
Answer:
no its not a function
Explanation:
A function is a relation (a set of ordered pairs) with the additional property that: no two pairs have the same first element and different second elements.
The definition is often stated as: A relation in which every x value is associated with exactly one y value. "Exactly one means one but two or more:
{(1,2);(2,3);(3,4);(2,5)} includes the points (2,3) and (2,5). Therefore these set of pairs are not a function.
what is 2+2 in math and the answer is 4
Answer:
4
Step-by-step explanation:
Here is my other question?
Answer:
Triangle A has one right angle
Step-by-step explanation:
a triangle can only have one right angle in it
this angle can be symbolized by the little square thing you see in the corner of the first picture
A box of cereal states that there are 90 calories in a 3/4 cup serving. How many calories are there in 4 cups of that cereal?
Answer:
Lets call the calories in one cup 'x'
so (3/4)x=90
Solving for x:
x=(90)/(3/4)
x=120
Now for 4 cups:
(4)(120)=?
480 calories in 4 cups of cereal
Answer: 480.
Step-by-step explanation:
3/4=90 so 1/4=30 so 30x4 is 120. 120=4/4=1 cup. 4 cups is 120x4=480, have a good day :D
a delivery person uses a service elevator to bring boxes of books up to an office. the delivery person weighs 160 lb and each box of books weighs 50 lb. the maximum capacity of the elevator is 1400 lb. how many boxes can the delivery person bring up at one time?
Can someone pls tell me this ASAP I need it in 15 minutes will give brainliest(the 4 question)
Answer: 90
Step-by-step explanation:
Jason’s family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas? Use the number-line diagram shown.
image d54bd69863f440d4825eb959d7d85b0d
A.
192 miles
B.
960 miles
C.
24 miles
D.
600 miles
Answer: 192 miles
Step-by-step explanation:
120/5=24
24*8=192
Help plzzzzzzzz will give brainliest
Answer:
78.4
Step-by-step explanation:
You add them all up and divide by however many numbers there are.
Answer:
78.4
Step-by-step explanation:
To find the mean of something, you need to add all the values together, then divide the sum by the number of numbers there are.
The sum of all the numbers is 784, and there are 10 numbers.
So, the equation you need to solve is:
784 / 10 = ?
This equals 78.4, so the mean is 78.4.
Amy and rose both compete in a race. Amy takes 42.8 seconds to finish, and Rose finishes in 49.2 seconds. How many seconds faster was Amy than Rose?
Answer:
6.4 seconds
Step-by-step explanation:
you subtract roses time by Amys time to find the difference.
Find the final hourly wage if a $6.00 starting wage is increased by 5.5% each year for 10 years
Answer:
The total earnings for a wage of 6 per hour, an average work week of 8 hours, and working a total of 521 weeks (10 year) per year is:
$48.00 per week
or $25,008.00 per year
But to figure out how much the wage is being increased by 5.5% you would add 5.5% to the salary per year so 25,008.00 + 1,375.44= 26,383.44
What is 1 + 1? Figure out the question 1st for brainliest.
\THE ANSWER IS 2 I WAS FIRST
What is the Equivalent ratios for 16:14
Answer:
14:16
Step-by-step explanation:
Answer:
8:7 or 8/7
Step-by-step explanation:
Ratios work the same as fraction because they can also be written as fractions therefore, the ratio 16:14 can also be written as 8:7 or 8/7
Find the Slope -6,7 -10,10
Answer: -4,3
Step-by-step explanation: When you find slope of two points you do the change of y over x. Which basically means you subtract x and subtract y. Both values. -10-(-6) 10-7. -4,3.
A right triangle, DEF, is shown below.
What is sin FDE?
Answer:
22.6°
Step-by-step explanation:
Reference angle = <FDE
Side opposite to <FDE = 5
Hypotenuse = 13
The trigonometric ratios to apply is:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(\angle FDE) = \frac{5}{13} [/tex]
[tex] sin(\angle FDE) = 0.3846 [/tex]
[tex] \angle FDE = sin^{-1}(0.3846) [/tex]
[tex] \angle FDE = 22.6 [/tex] (nearest tenth)
Write the equation of the line that is parallel to y=4x-3 and passes through the point (5,12)
Answer?
____________
Answer
y=4x-8
Step-by-step explanation:
m = 4
y- 12 = 4(x-5)
simplify and keep it in point-slop form
y=4x-8
what is the slope of the following line?
Answer:
The slope is [tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
Hope this helps, and it will also be, in longer & greater terms: [tex]y= \frac{1}{-2}x + 2[/tex].
I hope my answer is also correct.
Answer:
-1/2
Step-by-step explanation:
The answer is -1/2 because of rise over run.
A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.