Answer:
In ALL circles, the diameter is twice the radius.
Therefore, the ratio of of radius to diameter in ALL circles is .5
Step-by-step explanation:
Answer:
1 : 2
Step-by-step explanation:
Diameter = 36 ft
Therefore, radius = 36/2 = 18 ft
Ratio of the circle’s radius to its diameter
[tex] = \frac{18}{36} \\ \\ = \frac{1}{2} \\ \\ = 1 \: : \: 2[/tex]
The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.
______________________________
Hey!!
Solution,
Area= 12 ft^2
height= 3 ft
Now,
Area=b*h
or, 12=b*3
or,b=12/3
b=4 ft.
The value of base is 4 ft.
hope it helps
____________________________
Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)
Answer:
[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]
Step-by-step explanation:
Length of rectangular garden (l) = 16 feet
Width of rectangular garden (w) = 4 feet
[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]
[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]
Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.
Answer
The answer is C. Trina is not correct because the two sides of the equation are equivalent.
Step-by-step explanation:
1. solve for x
-8(x - 4) + 2x = -4(x - 8) -2x
-8x + 32 + 2x = -4x + 32 -2x
-6x + 32 = - 6x + 32
0 = 0
This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.
Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.
Hope This Helps :p
C. Trina is not correct because the two sides of the equation are equivalent
I just took the quiz on edge
PLEASE HELP ASAP IM BEHIND RIP
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Answer:
If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²169 = 144 + 25169 = 169Confirmed
Now we can start,
Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.
Let's begin the equation,
→ 13² = 12² + 5²
→ 169 = 144 + 25
→ 169 = 169
→ LHS = RHS
Hence, the statement is proved.
Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?
A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t
Answer:
C. d = 16t
Step-by-step explanation:
Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.
What is the solution to this equation?
x + 7 = 23
A. x = 30
B. x = 14
c. x= 16
D. x = 29
________________________________
Solution,
X+7=23
or,X=23-7
X=16
The value of X is 16.
Hope it helps
Good luck on your assignment
______________________________
Answer:
Step-by-step explanation:
x + 7 = 23
When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.
x + 7 = 23
- 7 = -7 <-- This is where you remove from one side what you remove x + 0 = 16 from the other side.
Now that one side only has X, we can find the answer.
x = 16
Find the volume of the figure below. Round to the nearest tenth.
Answer:
The volume of the figure given is:
3057,57 cm^3Step-by-step explanation:
To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.
Volume of the cylinder.
The formula to find the volume of a cylinder is:
Volume of a cylinder = PI * r^2 * hWhere:
PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).
r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)
h = height (in this case is 7 cm too, you can find these values in the figure given)
Now we must replace the values:
Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.Volume of the rectangular prism.
The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:
Volume of a rectangular prism = width * length * height.When we replace the values given in the figure:
Volume of a rectangular prism = 11 cm * 20 cm * 9 cm Volume of a rectangular prism = 1980 cm^3At the last, we add the two volumes found:
Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3 What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3
Answer:
336
Step-by-step explanation:
Given the expansion: [tex](7+4x)^3[/tex]
[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]
Therefore, the coefficient of the second term is 336.
If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?
Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign
Step-by-step explanation:
[tex](g*h)(x)=g(x)*h(x)[/tex]
So this means the functions should be multipled and both evaluated at x = 5
The value of the composition of functions ( g o f ) ( 5 ) = 4
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as h ( x )
Now , the value of h ( x ) is
h ( x ) = x - 7
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = x²
Now , the composition of function ( g o f ) ( 5 ) is given by
The value of f ( 5 ) = 5 - 7 = -2
Now , the value of g ( -2 ) is
g ( -2 ) = ( -2 )²
g ( -2 ) = 4
Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4
To learn more about composition of functions click :
https://brainly.com/question/17673639
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Hitting the baseball over the lights
Meanwhile, at the ballpark, Juan was practicing his hitting while talking to the girls
standing around watching. He started telling them how he hit the ball over the 50 foot
light tower yesterday. The girls were unsure that he really did that.
The formula for this hit is: H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball actually hang in the air?
Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
What is the slope of the line represented by the equation y + 3 = -4(x - 5)?
Answer:
-4
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
Where m is the slope and (x1,y1) is a point on the line
y + 3 = -4(x - 5)
The slope is -4
I need help with this
what is the inverse of the function f(x)= 19/x³
What are the solutions to the system of equations?
x² + y² = 5
y= 2x
Answer:
(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)
Step-by-step explanation:
Solve the equation using the Quadratic Formula: *
x2 – 3x + 3 = 5x + 1
Answer:
please mark brainly
Step-by-step explanation:
Answer:
Exact form : x = 4 ± √14
Decimal form : x 7.74165738..., 0.25834261...
Step-by-step explanation:
I hope this helps you out. ☺
Add.
3x2 - 5x+1
2x2 +9x-6
+
A. 5x2 + 4x+7
B. 5x2 - 4x + 5
C. 5x2 + 4x - 5
D. 5x2 + 14x - 5
Answer:
C
Step by step
3x2 - 5x+1 + 2x2 + 9x-6
Combine like terms
5x2 + 4x - 5
You are welcome and don't for get to click THANKS
Answer:
c
Step-by-step explanation:
I did the quiz just now
Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93
Answer:
x = 93
Step-by-step explanation:
Given
<QSR = 35
<SRQ = 58
<SQP = x
Required
Find x
To find the value of x, a triangle needs to be drawn (See attachment).
From the attachment;
<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)
<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)
Substitute <QSR = 35 and <SRQ = 58 in equation 2
<SQR + 35 + 58 = 180
<SQR + 93 = 180
Subtract 93 from both sides
<SQR + 93 - 93 = 180 - 93
<SQR = 87
SUbstitute 87 for <SQR in Equation 1
<SQP + 87 = 180
Subtract 87 from both sides
<SQP + 87 - 87 = 180 - 87
<SQP = 93
Recall that <SQP = x
So, x = 93
Answer:
x = 93
Step-by-step explanation:
cuz it is
Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each balloon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
Which description most accurately summarizes the sample results?
Answer:
For his balloon to grow bigger, more manure is needed to enhance more growth energy
The mean of cow manure with mashed bananas is always more than the mean of only cow manure in any country.
Then the correct option is B.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy.
He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle.
After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced.
The mean of cow manure will be
Mean = 10+11 +13 +13 + 14 +15 + 15 + 15 + 18 + 18 + 19 + 20 +22+25+26/15
= 254/15
= 16.93
The mean of cow manure with mashed banana will be
Mean = 22+22+26+29+30+31+36+36+38+39+43+46+46+49+50/15
= 543/15
= 36.2
Thus, The mean of cow manure with mashed bananas is more than the mean of only cow manure.
Learn more about the mean link is given below.
brainly.com/question/521501
#SPJ7
Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7
Answer:
x < -7
Step-by-step explanation:
-5x + 7 > 42
Subtract 7 from each side
-5x + 7-7 > 42-7
-5x > 35
Divide each side by -5, remembering to flip the inequality
-5x/-5 <35/-5
x < -7
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
Answer:
[f(2) - f(-1)]/3
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Answer:
7 over 12
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Write as a mixed number 5.06
Answer:
5[tex]\frac{3}{50}[/tex]
Step-by-step explanation:
0.06 = 6/100 = 3/50
Answer:
5 [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
There are 30 dogs at the park. 56 of the dogs are large.
Which method is a way to find the number of large dogs at the park?
Answer:
30-56
Step-by-step explanation:
It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].
A miniature golf course recently provided its customers with 6 golf balls, of which 3 were blue. What is the experimental probability that the next customer will receive a blue golf ball?
can someone please help me with this question ?
Answer:
Yes, because it passes the vertical line test
Step-by-step explanation:
A function has one output for each input. This is called a one to one correspondent. This is shown by the vertical line test
This graph passes the vertical line test and is therefore a function
Answer:
D
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
-------------------------------------------------------------------------------------------
Example: The first table is a function because each input value has only 1 output value, but the second table has more that one output value per input. (View Attached Picture Below)
The input value 4 in Table A has only 1 output value, 20. But in Table B, the input value for 4 has 2 output values, 16 and 17. So Table A is a function, while Table B is not.
CO
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius
temperatures for select Fahrenheit temperatures.
Table A
Table B
с
-10
0
10
20
30
F
14
32
50
68
86
F
14
32
50
68
86
C
-10
0
10
20
30
The tables show that the two functions are
ordered pair
✓ for the other function
because the ordered pair (x, y) for one function is the
A Intro
Answer:
it's is a
because the law states
Answer:
First 1 is Inverse and the second one is y=x
What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction? m = 3 m = 6 all real numbers no solution
Answer:
No solution.
Step-by-step explanation:
Given fraction is:
[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
But, the above equation was solved at the condition that:
[tex]m\neq 3[/tex]
So, there is no solution for the given equation.
Answer:
D on Edge2020 (No solution)
Step-by-step explanation:
Find the area of the figure.
Answer:
First find the area of the rectangle.
length x width = area
160 x 20 = 3200 area of rectangle
150 - 20 = 130
160 - 110 = 50
length x width / 2 = area of triangle
130 x 50 = 6500 / 2 = 3250
3200+3250=6450 square meters
Hope this helps
Step-by-step explanation:
How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answer:
D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Step-by-step explanation: I did the test. Stay safe and have a good one!
Answer:
what the first person said "D"
Step-by-step explanation:
i need 29 part b and c please help!
Answer:
$1.50
Step-by-step explanation:
29 part c
3÷2= 1.50
3 is the cost
and 2 is the cups
for 3 drinks it would cost $1.50
Mrs. opsahl drove 399 miles on 14 gallons of gas.how many miles per gallon did her car get
Answer:
28.5 miles per gallon
Step-by-step explanation:
399 divided by 14 gives you the number 28.5