The radius of the circle is 5.30 cm.
What is a radius?A radius is a line that extends from the center of a circle to any point of the circumference.
To calculate the length of the radius of the circle, we use the formula below.
Formula:
A = πr²......... Equation 1
Make r the subject of the equation
r = √(A/π).................. Equation 2Where:
A = Area of the circler = Radius of the circleπ = PieFrom the question,
Given:
A = 88.44 cm²π = 22/7Substitute these values into equation 2
r = √(88.44/(22/7))r = √(88.44×7/22)r = √(28.14)r = 5.30 cmHence, the radius of the circle is 5.30 cm.
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In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 9 centimeters and b = 3 centimeters, what is c? If
necessary, round to the nearest tenth.
4) c = ?
centimeters
Answer:
c=9.5 centimeters
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
90=c^2
c=[tex]\sqrt{90}[/tex]
c=9.487
c=9.5
Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.
Part A: Which data set has a stronger linear relationship?
Part B: How do you know this?
Select two answers, one for Part A and one for Part B.
Data set T has strong linear relationship as it is a perfect positive correlation
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
Part A &B : Data set T has strong linear relationship as it is a perfect positive correlation
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Complete this statement:
10x^3a+6xa^2=2xa( )
Answer:
2xa(5x^2 + 3a).
Step-by-step explanation:
We are factorising:-
Divide the left side by 2xa and place the result in the parentheses:
10x^3a+6xa^2 = 2xa(5x^2 + 3a )
Answer:
2xa(5x² +3a-1)
Step-by-step explanation:
10x³a+ 6xa²-2xa=2xa-2xa
10x³a+ 6xa²-2xa=0
Factor 10x³a+ 6xa²-2xa:
2ax(5x² + 3a -1)
awnser pls quickly :)))
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
pls give the steps as well
Answer:
-6.4
Step-by-step explanation:
√2(√3×2 - √1×8) = -6.41472901342
Round to the nearest tenth = -6.4
A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to another point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
Properties of a square.All the sides are equal.Opposite sides are parallel to each other.The diagonal intersects at right angle.Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
c = hypotenuse a and b are other legsTherefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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Answer: 5.7 units
Step-by-step explanation:
Select the correct line plot that accurately shows the data set above.
Answer:
B
Step-by-step explanation:
1,2 2,3 1,6 1,9 3,10 2,11 1,13 3,15 3,16 2,17
x,y
x= how many goals they made were the same
y= the actual number of soccer goals
(This is just how I organized how to make the chart)
11
12
13
14
15
16
17
18
19
20
Which equation is equivalent to 4x+3 = 64?
O 2x+6=24
O 22x+6=26
O 42x+6 - 42
O 4X+3 - 46
Answer:
Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64
The equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
The given equation is [tex]4^x^+^3=64[/tex]
Four to the power of x plus three equal to sixty four
x is the variable in the equation
We have to find the equivalent equation
We know that 2×2×2× 2×2×2 , 2⁶=64
[tex]4^x^+^3=2^6[/tex]
Now [tex](2^2)^x^+^3=2^6[/tex]
[tex]2^6^x^+^6=2^6[/tex]
Hence, the equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
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What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
Meaning of a CircleA circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.
The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.
In conclusion, The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
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Which best describes the three-dimensional figure that can be made from the net shown?
a triangular prism that might not have 4 congruent and equilateral triangles
a triangular pyramid that might not have 4 congruent and equilateral triangles
a triangular prism that must have 4 congruent and equilateral triangles
a triangular pyramid that must have 4 congruent and equilateral triangles
Answer:
Option C
Step-by-step explanation:
See here the net seems like a equilateral triangle
And another equilateral traingle is inscribed in itSo 4 equilateral trianglesHence option C
1) Find the volume of the rectangular pyramid below.
21 cm
1 cm
29 cm
Answer:
3349.5 [tex]cm^{3}[/tex]
Step-by-step explanation:
see image
You are investing $1500 at 6.2% compounded annually. How much money will you have in 12 years?
Answer:
$3087.35
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $1500r = 6.2% = 0.062n = 1t = 12 yearsSubstituting given values into the equation and solving for A:
[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]
Select all the correct figures.
Which figures show starting steps in the construction of an equilateral triangle?
Question 4 (1 point)
(01.01)
Evaluate 48 + 24 = 8-22. (1 point)
O a
ob
51
c
Od
the answer is A 47
Step-by-step explanation:
48+24÷8-2²
48+3-2²
48+3-4
=47
hope it helps!
what is the value of x
Answer:
x= 96
Step-by-step explanation:
I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.
f(x) = 4(4 + x) whats the answer? and would that be the constant rate?
Answer:
f(x)=16+ 4x
the constant rate would be 4
Step-by-step explanation:
Answer: y=4x+16
Step-by-step explanation:
check the attachment please. I also need to know the value of y
Answer:
Angle MBR = 31°
y = 14
Step-by-step explanation:
There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.
59 + y + 17 = 90
add.
76 + y = 90
subtract 76.
y = 14
Then you can find Angle MBR:
y + 17
= 14 + 17
= 31
Alternatively, you could find MBR first and then find y. It comes out the same either way.
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answer:
8 inches.
Step-by-step explanation:
3 1/4 + 4 3/4
= 3 + 4 + 1/4 + 3/4
= 7 + 4/4
= 7 + 1
= 8 inches.
Answer:
The child grew 8 inches
Step-by-step explanation:
Step 1: Convert to improper fractions
[tex]3\frac{1}{4}[/tex]
[tex]\frac{1+(3*4)}{4}[/tex]
[tex]\frac{1+12}{4}[/tex]
[tex]\frac{13}{4}[/tex]
[tex]4\frac{3}{4}[/tex]
[tex]\frac{3+(4*4)}{4}[/tex]
[tex]\frac{3+16}{4}[/tex]
[tex]\frac{19}{4}[/tex]
Step 2: Combine the fractions
[tex]\frac{13}{4}+\frac{19}{4}[/tex]
[tex]\frac{13+19}{4}[/tex]
[tex]\frac{32}{4}[/tex]
[tex]8[/tex]
Answer: The child grew 8 inches
I am very confused about this but only need the answer.
Please Help
Answer:
C
Step-by-step explanation:
The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.
The circumference of the circle 1 is less than the circumference of the circle 2.
What is circumference?Circumference is "a distance around the circle".
According to the question,
The area of the circle 1 is 6π and the area of the circle 2 is 7π.
Area of the circle = π.r²
Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.
Hence, the circumference of the circle 1 is less than the circumference of the circle 2.
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What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet
Answer:
42 square feet
Step-by-step explanation:
10 ×3= 30
4×3=12 divided by two =6 ×2= 12
(multiply because there are two triangular ends)
12+30=42
what is the answer to this question?
Answer:
y = 96
Step-by-step explanation:
given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
to find k use the condition when y = 24 , x = 2 , then
24 = k × 2² = 4k ( divide both sides by 4 )
6 = k
y = 6x² ← equation of proportion
when x = 4 , then
y = 6 × 4² = 6 × 16 = 96
On a coordinate plane, rhombus w x y z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
The area of the rhombus is 24 square units.
What is a Rhombus?This has to do with the quadrilateral that each side are of the same length.
Calculations and Parameters:Given the data:
Length WY is 3 - (-5) = 8 units.
Length XZ is 4 - (-2) = 6 units.
Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:
1/2 * 8 * 6
= 24 square units.
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Answer:
A
Step-by-step explanation:
function f is shown below
f(-3)
f(4)
find x when f(x) = 5
find x when f(x)= -3
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
f(-3)f(-3) = 02. f(4)
f(4) = -33. x when f(x) = 5
f(x) = 5x = 04. x when f(x) = -3
f(x) = -3x = ±4What number when added to 1 1/3 is 2
Answer:
2/3 or .66 repeated
Step-by-step explanation:
1 1/3= 1.33
1.33 + .66..7 is 2
Answer:
[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let the number be x
Given condition:
[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]
which figures appear to be congruent
A) 1,4
B) 1,4 and 5
C) 1 and 5
D) 4 and 5
Answer:
Explain your answer C) 1 and 5
The price of a box of colored pencils increased from $8.00 to $8.48. What was the percent increase in the price?
Step-by-step explanation:
100% = $8.00
1% = 100%/100 = 8/100 = $0.08
the price went up by $8.48 - $8.00 = $0.48.
how many % is this ?
as many % as 1% fits into this difference :
0.48 / 0.08 = 6%
the price increase was 6%.
What is the degree measure of major
arc QTS?
Answer:
320
Step-by-step explanation:
20*2 = 40
360 - 40 = 320
Put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
Answer
Step-by-step explanation:
easy
Help please this needs to be turned in tommorrow soo im trying to rush and when i rush i cant focus
Answer: Hello! Hope this helps.
Step-by-step explanation: 6 - 7x/2
So its the first answer.
PLease Help its a math problem see image attached i am struggling with this
Answer:
f(x) = (x+5)^2-1
Step-by-step explanation: