Answer:A
Step-by-step explanation:
The round wading pool at the Greenville Community Center has a diameter of 8 feet. What is the pool's circumference? use 3.14 for pi
Answer:
25.12 feet
Step-by-step explanation:
To find the circumference of the round wading pool with an 8-foot diameter using 3.14 for pi, the formula C = πd is used, resulting in a circumference of 25.12 feet.
The question is asking to find the circumference of a round wading pool with a diameter of 8 feet using 3.14 for pi. The formula for the circumference of a circle is C = πd, where C represents the circumference, π (pi) is approximately 3.14, and d is the diameter of the circle. Given that the diameter (d) of the pool is 8 feet, we substitute the values into the formula to get:
C = 3.14 × 8 feet = 25.12 feet
Therefore, the circumference of the wading pool is 25.12 feet.
Which expression shows a way to find 20% of 950?
950
20
20
What is it
To find 20% of 950, first convert the percentage to a decimal (20% becomes 0.20) and then multiply that value by 950. The mathematical expression representing this calculation is 0.20 x 950, which yields the result: 190.
Explanation:The question is asking about how to find 20% of 950 in mathematics. Here's how you do that:
First, turn the percentage into a decimal. 20% becomes 0.20 in decimal form because percent means 'per hundred'. Thus 20 per hundred is 0.20 as a decimal.Next, to find 20% of 950, you multiply the decimal form of the percentage (0.20) by 950. The mathematical expression that represents this operation is: 0.20 x 950.Therefore, 20% of 950 equals 190. Learn more about Percentage Calculation here:https://brainly.com/question/329987
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To find 20% of 950, convert 20% to decimal form as 0.20 and multiply it by 950. The result of this calculation is 190, which represents 20% of 950.
Explanation:The expression to find 20% of 950 is obtained by multiplying 950 by the percentage in decimal form. Since 20% as a decimal is 0.20, you multiply 950 by 0.20 to find the answer. The calculation is as follows:
Convert the percentage to a decimal: 20% = 0.20Multiply the value by the decimal percentage: 950 × 0.20Calculate the result: 950 × 0.20 = 190So, 20% of 950 is 190.
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Immediately after jumping out of a plane, a 65kg skydiver starts to fall towards the
Earth with an acceleration of 9 8ms? Calculate the downwards force on the
skydiver at the instant he leaves the plane (show working):
it's physics not maths don't know how to change it
Answer:637kgms-2
Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2
The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.
1
5
• 5 = 1
√2 (
1
√2
) = 1
Inverse property of multiplication: For all real numbers except , a • = 1.
Answer:
[tex]\text{Inverse property of multiplication: For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]
Explanation:
These are the examples given to illustrate the inverse property of multiplication:
[tex]1/5\cdot 5=1\\\\ \sqrt{2}\cdot (1/\sqrt{2})=1[/tex]
And you must complete the statement to describe the property.
Inverse property of multiplication: For all real numbers except __, a • __ = 1.In the first example, 1/5 and 5 are reciprocal numbers of each other, also known as multiplicative inverses. And the example is showing that the product of 1/5 and its reciprocal is 1.
In the second example, [tex]\sqrt{2}\text{ and }(1/\sqrt{2})[/tex] are reciprocal of each other. Again, the example is showing that the product of those a number at its reciprocal is 1.
That is a general property, that can be written as:
[tex]a\cdot 1/a=1[/tex]
That property is satisfied by any number except 0, because the reciprocal of [tex]0[/tex] , i.e. [tex]1/0[/tex] is not defined.
Then, the statemen is:
[tex]\text{For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]
The statement that best describes the inverse property of multiplication is: Inverse property of multiplication: For all real numbers except 0, a * a⁻¹ = 1.
This means that if you multiply a number by its reciprocal, you will always get 1.
The examples you provided illustrate this property nicely:
5 * 1/5 = 1
√2 * 1/√2 = 1
Note that the inverse property of multiplication does not hold for the number 0, because the reciprocal of 0 is undefined.
Here is another example of the inverse property of multiplication:
3 * 1/3 = 1
You can check any other real number and its reciprocal, and you will always find that the product is 1.
The inverse property of multiplication is a useful property in mathematics, and it is used in many different areas, such as algebra, calculus, and physics.
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A scale diagram of a garden shows the length as 14.5 cm. If the scale is 1:150, what is the actual length? The garden is m in length
The actual length of the garden is 2175 cm.
Explanation:To find the actual length of the garden, we can use the scale. The scale indicates that 1 cm on the diagram represents 150 cm in real life. Since the length on the diagram is 14.5 cm, we can multiply this length by the scale factor to find the actual length.
Actual Length = Length on Diagram × Scale Factor = 14.5 cm × 150 = 2175 cm
Therefore, the actual length of the garden is 2175 cm.
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Find the greatest common factor (GCF) of both terms 30 and 60
Answer:
30
Step-by-step explanation:
The product of t and three is 13.5
Answer: t = 4.5
Step-by-step explanation: 13.5/3 = 4.5
Answer:
T = 4.5
Step-by-step explanation:
The way to solve this is simple.
You just have to divide 13.5 by 3
and then you get the answer of 4.5!
Hope this helped!
~Oreo!!
13-9-x/11=3x/22+121/2
Answer:
x=-248 3/5
Step-by-step explanation:
13-9-x/11=3x/22+121/2
4-x/11=3x/22+121/2
4-121/2=3x/22+x/11
8/2-121/2=3x/22+2x/22
-113/2=5x/22
5x/22=-113/2
5x=(-113/2)*22
5x=-113*22/2
5x=-113*11
x=-1243/5
x=-248 3/5
If the equation of a function is y = x2 - 5, what is the output when the input is -1?
Answer:
y = - 4
Step-by-step explanation:
The output is the value of y for a given input x
For an input of - 1, substitute x = - 1 into the equation.
y = (- 1)² - 5 = 1 - 5 = - 4 ← output
Can you please help me just need the answer pls.please need help
Answer:
20
Step-by-step explanation:
Western North Carolina Woods have a deer population density of 3.5 deer per acre. If there are a total of 435 deer, how many acres are in this parcel of woods?
There are about 124.29 acres in this parcel woods
Step-by-step explanation:
The given is:
Western North Carolina Woods have a deer population density of 3.5 deer per acreThere are a total of 435 deerWe need to find how many acres are in this parcel of woods
∵ The population density = 3.5 deer per acre
- That means 1 acre for every 3 dears
∵ There are a total of 435 deer
∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres
- By using cross multiplication
∴ 3.5 × x = 1 × 435
∴ 3.5 x = 435
- Divide both sides by 3.5
∴ x = 124.29
There are about 124.29 acres in this parcel woods
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On a map with a scale of 2 cm = 1 km, the
distance from Beau's house to the beach is
4.6 centimeters. What is the actual distance?
A 2.3 km
B 4.6 km
© 6.5 km
D 9.2 km
Answer:
A. 2.3km
Step-by-step explanation:
Since 2cm = 1km
4.6cm = xkm
xkm = 4.6 x 1 / 2
= 2.3km
Answer:
I would believe that the answer is A. 2.3 km
Step-by-step explanation:
If 2cm=1km
then 4cm=2km
not to mention the km is 1/2 or the cm
so i would believe that .6cm would be .3km
therefore the answer must be 2.3km
Help please! these questions are really confusing me
Answer:
Figure 1: Option A : [tex]$ \sqrt{\frac{\textbf{3}}{\textbf{2}}} $[/tex] ; [tex]$ \frac{\textbf{1}}{\textbf{2}} $[/tex] ; [tex]$ \sqrt{\textbf{3}}} $[/tex]
Figure 2: Option B: [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{10}} $[/tex] ; [tex]$ \frac{\textbf{9}}{\textbf{10}} $[/tex] ; [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{9}} $[/tex]
Figure 3: Option C: [tex]$ \frac{\textbf{4}}{\textbf{5}} $[/tex] ; [tex]$ \frac{\textbf{3}}{\textbf{5}} $[/tex] ; [tex]$ \frac{\textbf{4}}{\textbf{3}} $[/tex]
Step-by-step explanation:
[tex]$ \textbf{Sin A} \hspace{1mm} \textbf{= } \hspace{1mm} \frac{\textbf{opp}}{\textbf{hyp}} $[/tex]
[tex]$ \textbf{Cos A} \hspace{1mm} {\textbf{=} \hspace{1mm} \frac{\textbf{adj}}{\textbf{hyp}} $[/tex]
[tex]$ \textbf{Tan A} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{Sin A}}{\textbf{Cos A}} $[/tex]
We can simply follow these three formulas to solve the problem.
Figure 1:
Sin A = [tex]$ \frac{6\sqrt{3}}{12} $[/tex] = [tex]$ \frac{\sqrt{3}}{2} $[/tex]
Cos A = [tex]$ \frac{6}{12} = \frac{1}{2} $[/tex]
Tan A = [tex]$ \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}} $[/tex] = [tex]$ \sqrt{3} $[/tex]
Figure 2:
Sin A = [tex]$ \frac{2\sqrt{19}}{20} $[/tex] = [tex]$ \frac{\sqrt{19}}{10} $[/tex]
Cos A = [tex]$ \frac{18}{20} = \frac{9}{10} $[/tex]
Tan A = [tex]$ \frac{\frac{\sqrt{19}}{10}}{\frac{10}{9}} $[/tex] = [tex]$ \frac{\sqrt{19}}{9} $[/tex]
Figure 3:
Sin A = [tex]$ \frac{16}{20} $[/tex] = [tex]$ \frac{4}{5} $[/tex]
Cos A = [tex]$ \frac{12}{20} = \frac{3}{5} $[/tex]
Tan A = [tex]$ \frac{\frac{4}{5}}{\frac{3}{5}} $[/tex] = [tex]$ \frac{4}{3} $[/tex]
Hence, the answer.
Add
(-1 - i) + (-10 + 3i)
Answer:
the sum of the 2 expressions is -11+2i.
Step-by-step explanation:
-1-10=-11
-i+3i=2i
-11+2i
I need help on this please can someone help me with this
Answer:
C. 11
Step-by-step explanation:
First, find the value of "x" by solving the first equation. You need to move every other number to the other side of "x". When you move a number, you have to do the opposite operation to both sides.
5x + 6 = 10 The opposite of +6 is -6.
5x + 6 - 6 = 10 - 6 Subtract 6 from both sides
5x = 10 - 6 The "6" on the left cancelled out. Simplify the right side
5x = 4 The opposite of multiply by 5 is divide by 5
5x/5 = 4/5 Divide both sides by 5
x = 4/5 Value of "x"
Substitute the value of "x", which is 4/5, in the "x" for the second equation.
10x + 3
= 10(4/5) + 3 Multiply 10 and 4/5
= [tex]\frac{10*4}{5}[/tex] + 3 Combine into the numerator
= [tex]\frac{40}{5}[/tex] + 3 Divide the top by the bottom
= 8 + 3 Add
= 11 Value of second equation
Therefore the value of 10x + 3 is 11.
How do you solve it
Answer:
Step-by-step explanation:
400-65=335
Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (4,5), (-6,-6), and (-14,2), respectively. The epicenter of an earthquake is determined to be 10 units from X, 5 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located?
Find the coordinates of the epicenter.
Answer:
(-2, -3)
Step-by-step explanation:
A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.
_____
The simultaneous equations for the circles can be solved algebraically.
The epicenter is 10 units from X, so lies on the circle ...
(x -4)^2 +(y -5)^2 = 10^2
x^2 -8x +16 +y^2 -10y +25 = 100
x^2 +y^2 -8x -10y = 59
__
The epicenter is 5 units from Y, so lies on the circle ...
(x +6)^2 +(y +6)^2 = 5^2
x^2 +12x +36 +y^2 +12y +36 = 25
x^2 +y^2 +12x +12y = -47
__
The epicenter is 13 units from Z, so lies on the circle ...
(x +14)^2 +(y -2)^2 = 13^2
x^2 +28x +196 +y^2 -4y +4 = 169
x^2 +y^2 +28x -4y = -31
__
Subtracting the second equation from each of the other two, we get ...
(x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)
-20x -22y = 106 . . . . eq1 -eq2
(x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)
16x -16y = 16 . . . . . . . .eq3 -eq2
These simultaneous linear equations can be solved a variety of ways. We might use substitution:
x = y+1 . . . . . from eq3 -eq2 divided by 16
10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2
21y = -63 . . . . . . . . . . . . simplify, subtract 10
y = -3
x = y+1 = -2
The epicenter is located at (x, y) = (-2, -3).
What is distance formula?
Answer:
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
Step-by-step explanation:
Answer:
The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2
Step-by-step explanation:
The 5th power of what number is equal to 3^15?
3^15 = 14,348,907
Which means...
x^5 = 14,348,907
If we execute [tex]\sqrt[5]{14348907}[/tex] and do the same with x^5 we get...
x = 27
So the 5th power of 27 is equal to 3^15.
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
The fifth power of the number 27 is equal to 3¹⁵.
To find the fifth power of a number that is equal to 3¹⁵, we need to determine what number raised to the power of 5 gives us 3¹⁵.
Let's call the number we are looking for "x." So, we need to solve the equation:
x⁵ = 3¹⁵
To find x, we can take the fifth root of both sides of the equation:
x = (3¹⁵[tex])^{(1/5)[/tex]
x = 3³
x = 27
This means that if we raise 27 to the power of 5 (27⁵), we will get 3¹⁵ (3 raised to the power of 15).
In conclusion, the number we are looking for is 27, as 27^5 is equal to 3¹⁵.
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Write an expression to represent:
"15 times a number w"
Answer:
15×w
Step-by-step explanation:
15 times w is a number bigger 15 times or added up again and again 15 times:
w+w+w+w+w+w+w+w+w+w+w+w+w+w+w or 15×w
The expression to represent "15 times a number w" is written as 15w. Substituting ½ for w would lead to the multiplication 15 × ½, resulting in 7.5.
Explanation:To represent the phrase "15 times a number w," you would write the algebraic expression 15w. This is accomplished by using the coefficient 15 to indicate that the number w is being multiplied by 15. So, if you were to substitute the value ½ for w into this expression, you would perform the multiplication 15 × ½ to get the result, which simplifies to 7.5.
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Number 24 only please help me please
Check the picture below.
the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.
now, let's simply use proportions for those similar triangles.
[tex]\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}[/tex]
please help REAL ANSWERS ONLY
Use the distance formula: sqrt((x2-x1)^2+(y2-y1)^2)
Plug in variables:
sqrt((-3-2)^2+(5-8)^2)
sqrt((-5)^2+(-3)^2)
sqrt(25+9)
sqrt(34)
Rounded to the nearest tenth is 5.8 units
Hope this helped.
What number is halfway between .2 and .3
Final answer:
The number halfway between 0.2 and 0.3 is 0.25, which is found by adding the two numbers and dividing the total by 2.
Explanation:
The number halfway between 0.2 and 0.3 can be found by calculating the average of the two numbers. To find the average, you add the two numbers together and then divide by 2.
To show the steps:
Add 0.2 and 0.3 together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the midpoint: 0.5 ÷ 2 = 0.25.Therefore, the number that is halfway between 0.2 and 0.3 is 0.25.
The number halfway between 0.2 and 0.3 is 0.25.
To find the number halfway between 0.2 and 0.3, you calculate the average of the two numbers. Here's the step-by-step process:
Add the two numbers together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the average: 0.5 / 2 = 0.25.So, the number halfway between 0.2 and 0.3 is 0.25. This method ensures that you find the exact midpoint between two values.
What is 199000/10000 as a decimal?
Answer:
19.9
Step-by-step explanation:
divide 199000 by 10000
=19.9
Answer:
19.9
Step-by-step explanation:
If NS = 2x + 7 and SQ = 5x - 23, find NQ
Incomplete Question Consider here NS = SQ then we may solve for NQ
Answer:
Therefore,
[tex]NQ=54\ units[/tex]
Step-by-step explanation:
Consider N -S -Q as a Straight line as shown in the figure below such that,
[tex]NS = 2x + 7[/tex]
[tex]SQ = 5x -23[/tex]
[tex]NS =SQ[/tex] ..............Consideration
To Find:
NQ = ?
Solution:
[tex]NS =SQ[/tex] .....Given Consideration
Substituting the values we get
[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]
Therefore,
[tex]NS = 2\times 10 + 7 = 27[/tex]
[tex]SQ = 5\times 10 -23=27[/tex]
N -S-Q is a Straight Line,
Then BY Line Addition Postulate,
[tex]NQ=NS+SQ[/tex] ...............N-S-Q
Substituting the values we get
[tex]NQ=27+27=54\ units[/tex]
Therefore,
[tex]NQ=54\ units[/tex]
12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
ticket sales the school sold 5 senior citizen tickets and 9 student tickets for a total of $144. The
school took in $192 on the second day by selling 14 senior citizen tickets and 6 student tickets.
What is the price each of one senior citizen ticket and one student ticket?
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
11. What must be true about p and q if the equation shows equivalent fractions
Answer:
p and q are both equal to 20.
Step-by-step explanation:
40 / 2 = p, so p = 20
100 / 5 = q, so q = 20
Assume that y varies directly with x. If y = -15 when x = -5, find y when x = 3.
Write and solve a direct variation equation to find the answer.
y=
Answer: Y = 9
Step-by-step explanation:
Y & X
Y = KX
K = Y / X = - 15 / - 5 = 3
X = 3
K= 3
Y=?
Y = KX = 3 x 3 = 9
Therefore, when X = 3, Y = 9
If there is a 61% chance that carol gets accepted to Andover university, what is the chance, or probability, that carol does not get accepted
Answer: if I am correct it is 39%
Step-by-step explanation:
Be sure to explain your reasoning.
Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?
Answer:
Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.
Step-by-step explanation:
Given:
Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.
If she uses 2 cups of pineapple juice.
Now, to find the cups of orange juice.
So, to solve by using unitary method:
As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.
So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]
[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]
[tex]=\frac{8}{3}[/tex] cups.
Thus, 2 cups of pineapple juice is needed for orange juice of = [tex]\frac{8}{3} \times 2[/tex]
= [tex]\frac{16}{3}[/tex]
= [tex]5\frac{1}{3}[/tex] cups.
Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.