Check the picture below.
so we really have the perimeter of a 10x10 rectangle and a circle with a radius of 5.
\(\stackrel{\textit{\Large total perimeter}}{\stackrel{\textit{rectangle}}{(10+10+10+10)}+\stackrel{\textit{circle}}{(2\cdot \pi\cdot 5)}}\implies 40+10\pi \stackrel{\textit{rounded up}}{71.42}\)
Nolan Arenado has 593 at-bats in the 2021 season. He had 151 hits and 81 runs. Which of the following shows the correct calculation of his batting average
The correct calculation of the average is given as 0.2546
How to solve for the averageThe average is a measure of central tendency that represents the typical value in a set of data. It is also known as the arithmetic mean and is calculated by adding up all the values in a set of data and then dividing the sum by the total number of values in the set.
The calculation of the average would be gotten by the number of hits / by the total bats that he had
This is given as
151 / 593
= 0.2546
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If $22,000 is invested in an account earning 4.5% interest compounded continuously,
determine how long it will take the money to quadruple. Round to the nearest year.
Use the model A = Pet where A represents the future value of P dollars invested at
an interest rate r compounded continuously for t years.
OA) 31 years
B) 36 years
C) 3 years
D) 308 years
Answer:
approx 32years so pick answer A
Step-by-step explanation:
22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979
An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.
If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.
What is the conversion table?The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions
For instance, the conversion table shows that 12 inches equal 1 foot.
The length of the fossil = 489.44 inches
12 inches = 1 foot
489.44 inches = 40.8 feet (489.44 ÷ 12)
Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.
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Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
please help i don’t feel like typing
Answer: q=13
Step-by-step explanation:
add the separate the q, add 4 to the 9= 13
13=q
There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.w
What is the probability of getting 2 reds?
Answer:
There are 9 total marbles
in the equation Y = 8x+ 5 the name for y are
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Andrew left his house at time zero and drove to the store, which is 10 blocks away, at a
speed of 5 blocks per minute. Then he stopped and went into the store for 2 minutes.
From there, he drove in the same direction at a speed of 5 blocks per minute until he
got to the bank, which is 10 blocks away from the store. He stopped at the bank for 3
minutes. Then he drove home at a speed of 4 blocks every minute. Make a graph of
showing the number of blocks away from home that Andrew is 2 minutes after he
leaves his house, until he gets back home.
the graph of Andrew's distance from home will look like this: Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10 Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
What is graph?Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.
From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.
At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).
When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).
Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).
Therefore, the graph of Andrew's distance from home will look like this:
Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10
Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
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Help please geometry
The area of the shaded region = 30.903 in²
From the attached figure we can observe that the radius of the circle R is r = 6 in.
Using the forula for the area of circle, the area of circle R would be,
A₁ = πr²
A₁ = π × 6²
A₁ = 36π
A₁ = 113.097 in²
So, the diameter would be d = 6 × 2 = 12 in.
The circle R is inscribed in a square.
So, the side length of square is equal to the diameter of the circle.
This means the side length 'a' os square = 12 in.
Using the formula of the area of square,
A₂ = side²
A₂ = a²
A₂ = 12²
A₂ = 144 in²
so, the area of the shaded region would be,
A = A₂ - A₁
A = 144 -113.097
A = 30.903 in²
This is the required area.
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The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.
Answer:
The width is 4 cm
The length is 12 cm.
Step-by-step explanation:
Area of a rectangle
Given a rectangle of width W and length L, its area is calculated as follows:
\(A=W\cdot L\)
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
\(W\cdot L=48\)
\(W\cdot 3W=48\)
Simplifying:
\(3W^2=48\)
Solving:
\(W^2=48/3=16\)
\(W=\sqrt{16}=4\)
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
If the average of 7 positive integers is 100, find the highest possible value of the largest number.
PLS ANSWER QUICKLY FOR THE SAKE OF THE GOD!!!1
Answer:
Step-by-step explanation:
]This problem is for my math class
Solve the inequality below
6x - 5 < 55
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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et: G6D
1. Identify the Exterior Angles Theorem.
Answer:
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles
Use the following sample data to answer the questions below
Favorite cola Number of responses
29
Coke
Pepsi
Diet Coke
Diet Pepsi
Coke Zero
Other
21
37.
28
19.
16
150
150
2
17)
a. Find the Probability of selecting a Coke person from this group.
Answer:
To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.
The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.
Therefore, the probability of selecting a Coke person from this group is:
P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064
So the probability of selecting a Coke person from this group is approximately 0.064.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of birds is ____the number the year before.
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
Exponential functionA generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is 1.6 times the number the year before.
__
Additional comment
A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.
Answer: 1.6
Step-by-step explanation:
8/9 Divided by 6/9 = ?
A. 17/54
B. 16/27
C. 4/3
D. 24/5
Answer:
4/3
Step-by-step explanation:
\( \frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}\)
24+15t+12p-3t-2p+13
identify the terms.
please explain
Answer:
10p+12p+37
Step-by-step explanation:
Combine like terms:
12p-2p=10p
15t-3t=12t
24+13=37
10p+12t+37
hope this helps if not its ok ig
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Answer:
8
Step-by-step explanation:
On a bus, the lady sitting in front of me silently passed gas, but why did my mom (who was sitting next to me) silently ask me "did you pass gas" and accuse me??
Answer: lol she was lowkey trying to call out the lady in front of you without directly addressing her. Or she was just trying to mess with you cuz that's how moms are
Step-by-step explanation:
A car travels a distance of 112km at an average Speed of 70km/h. It then Travells Further for 60km at an average Speed of 50 km/hr. Calculate for the entire Journey of the total time taken.
The total time taken for the entire journey is 2.8 hours.
To calculate the total time taken for the entire journey, we can use the formula:
Time = Distance / Speed
For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:
Time1 = 112 km / 70 km/h = 1.6 hours
For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:
Time2 = 60 km / 50 km/h = 1.2 hours
To find the total time for the entire journey, we sum up the times for both parts:
Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours
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A mixture of nuts contains 2 kg of cashew nuts and
600 grams of peanuts. What is the ratio of peanuts to cashew nuts in the mixture?
Answer:
3 : 10
Step-by-step explanation:
2 kg = 2000g
600g peanuts : 2000 cashew nuts
600 : 2000
divide both sides by a common divisor ( 200)
600/200 : 2000/200
3 : 10
a bag contains 8 blue chips, 7green chips and 2 white chips. if two chips are drawn without replacement, what is the probability of drawing a blue chip and a green chip
b=8, g=7, w=2, total=17
(8/17)(7/16)=56/272=7/34
Answer:
7/34
Step-by-step explanation:
Johannesburg is is 3/5 as tall as his sister. Johannesburg is 90cm tall. How tall is his sister
Johannesburg's sister is 54cm tall
Explanation:
3/5 = 0.6
0.6 * 90 = 54
54 is 3/5 of 90, therefore Johannesburg's sister is 54cm tall
Find the area of AXYZ. (Hint: Draw a rectangle whose sides contain points X, Y, and Z.)
Ay
Y
-4
X
-2
Area: I
4
2
-2
N
2
square units
4 x
So
The area of triangle XYZ is of 13.3 units².
What is the missing information?The missing information are the vertices of the triangle, given as follows:
X(-3,2).Z(1,-1).Y(3,4).What is the area of a triangle?The area of a triangle is given by half the base multiplied by the height, that is:
A = 0.5bh
For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:
\(b = \sqrt{(1 + 3)^2+(-1 - 2)^2}\)
b = sqrt(25)
b = 5.
The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:
\(h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}\)
h = sqrt(4² + 3.5²)
h = 5.32.
Thus the area of the triangle is given by:
A = 0.5 x 5 x 5.32 = 13.3 units².
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Consider the following equation:
cos x = x^3
Use your calculator to find an interval of length 0.01 that contains a root. (Enter your answer using interval notation.)
If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]
The given equation is
cos x = x^3
Move the term x^3 to the left hand side of the equation
cos x - x^3 = 0
Therefore the equation will be
f(x) = cos x - x^3
Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem
Plot the function in the graph
From the graph, we can see that the value of
x = 0.865
The interval of length = 0.01
Then the intervals will be 0.86 and 0.87
Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]
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What else must you know to prove the triangles congruent by ASA? By SAS?
Note that given the proof of congruence by SAS, the only thing remaining to know is that "2 corresponding sides and the corresponding included angles of both triangles are equal."
What is the rationale for the above response?The definition of SAS Congruency is as follows:
The SAS postulate states that two sides and the included angle of one triangle are identical to the corresponding two sides and the included angle of another triangle.
As demonstrated in the triangle, the angles mCAD and mACB are congruent. Thus; m∠CAD ≅ m∠ACB
Because m∠CAD and m∠ACB are congruent, AD and BC must also be congruent. Now, because AC is shared by both triangles ABC and ADC, we get two matching equal sides with the included corresponding equal angles.
As a result, the SAS Congruence postulate is proven.
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If the area of 400sq.units, then the length of the field is
Answer:
area=400sq units
then
Area of square=l^2
√400=l
l=20 units
List some foods that you eat regularly. How much do you think you spend on food a month?