Answers
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You can use Pythagoras theorem as it is a right angle
a^2 + b^2 = c^2
where 'c' is the hypotenuse
Rearrange this to find a side length
c^2 - a^2 = b^2
where 'b' is the missing length
10^2 - 8^2 = b^2
100 - 64 = b^2
b^2 = 36
Square root this to get the answer
b = 6cm
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Related Questions
Ken used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard? Use 3.14 for ππ.
Answers
Answer:
31.4 yards
Step-by-step explanation:
The circumference of a circle is 2 × 3.14 × 5=31.4 yards
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations with their solution sets. y + 12 = x2 + x x + y = 3 y − 15 = x2 + 4x x − y = 1 y + 5 = x2 − 3x 2x + y = 1 y − 6 = x2 − 3x x + 2y = 2 y − 17 = x2 − 9x -x + y = 1 y − 15 = -x2 + 4x x + y = 1 Solution Set Linear-Quadratic System of Equations {(-2, 3), (7, -6)} arrowRight {(-5, 8), (3, 0)} arrowRight {(-2, 5), (3, -5)} arrowRight {(2, 3), (8, 9)} arrowRight
Answers
Answer:
Step-by-step explanation:
The solution of this systems of equations is the intersection of both graphs
Let's kick start with a:
a)
[tex]y+12 = x^2+x \\ \\ x+3 = y[/tex]
From the first attached diagram by using graph:
the solution is the set {(-5, 8), (3, 0)}
b)
[tex]y-15=x^3+4x \\ \\ x-y =1[/tex]
Using the graph tool from the last diagram below;
the solution is the set⇒( there is no solution)
c)
[tex]y+5 =x^2-3x \\ \\ 2x+y =1[/tex]
From the second attached diagram by using graph:
the solution is the set {(-2, 5), (3, -5)}
d)
[tex]y-6=x^2-3x \\ \\ x+2y =2[/tex]
the solution is the set ⇒ there is no solution (shown in the last diagram below)
e)
[tex]y-17=x^2-9x \\ \\ -x+y =1[/tex]
the solution is the set {(2, 3), (8, 9)} as shown in the third diagram
f) Lastly:
[tex]y-15=-x^2+4x \\ \\ x+y =1[/tex]
Using the graph tool from the fourth diagram below;
the solution is the set {(-2, 3), (7, -6)}
The solution to the system of equations are the truth values of the system of equations
[tex]\mathbf{(a)\ y + 12 = x^2 + x,\ x + 3 = y}[/tex]
The graphs of the equations intersect at (-5,8) and (3,0).
So, the solution set is {(-5,8), (3,0)}
[tex]\mathbf{(b)\ y - 15 = x^3 + 4x,\ x - y = 1}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(c)\ y + 5 = x^2 - 3x,\ 2x + y = 1}[/tex]
The graphs of the equations intersect at (-2,5) and (3, -5).
So, the solution set is {(-2, 5), (3, -5)}
[tex]\mathbf{(d)\ y - 6 = x^2 - 3x,\ x + 2y = 2}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(e)\ y - 17 = x^2 - 9x,\ -x + y = 1}[/tex]
The graphs of the equations intersect at (2,3) and (8,9).
So, the solution set is {(2, 3), (8, 9)}
[tex]\mathbf{(f)\ y - 15 = -x^2 + 4x,\ x + y = 1}[/tex]
The graphs of the equations intersect at (-2,3) and (7,-6).
So, the solution set is {(-2, 3), (7, -6)}
Read more about system of equations at:
https://brainly.com/question/12895249
What is the m∠2 if m∠4 = 81° and m∠3 = 40°?
a. 40°
b. 59°
c. 41°
d. 60°
Answers
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
Find the area of the triangle ABC given angle A = 45°, b = 8, and c = V2.
Answers
Answer:
180
Step-by-step explanation:
triangle 1/2 base x height = area 45 x 4 = 180
What is the solution set to the equation x^2+6x+3=0
Answers
Answer:
That is a quadratic equation in which
a = 1
b = 6
c = 3
The quadratic formula is:
x = [-b +- sqr root (b^2 -4*a*c)] / 2*a
x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2
x1 = [-6 + sqr root (24)] / 2
x2 = [-6 - sqr root (24)] / 2
Step-by-step explanation:
If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.
A. (4, 11)
B. (1, 3)
C. (-2, -7)
D. (1, -2)
Answers
Answer:
The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).
=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4
=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11
=> B(4, 11)
=> Option A is correct
Hope this helps!
:)
what i 12 x Q is greater than 12 but less than 24
Answers
Answer:
12 x 1.5 = 18.
Step-by-step explanation:
Pretty much anything between 1 and 2. :P
I need help with these 3 question please and thank you I am so lost I been on this page for like hour now can someone please help me
Answers
Answer:
the 'questions' that you have posted are the answers for the questions above
Step-by-step explanation:
PLEASE HELP ME IM CRYING :(
Draw a picture for each mixed number.
Use fraction circl es or grid paper for each. 3 2/3 hours
Answers
Answer:
Step-by-step explanation:
im doing fraction circles
3 2/3
1 5/6
1 3/4
pls mark me brainliest
Solve the missing elements for each problem. Use 3.14
Answers
radius = diameter/2
diameter = radius * 2
circumference = 3.14 * diameter
area = 3.14 * radius * radius
A bag contains five red marbles, two orange marbles ,one yellow marble , and two green marbales. Two marbles are drawn from the bag. What is the approximate probability of choosing an orange marble and green marble?
Answers
Answer:
Should be 4/10
Step-by-step explanation:
If you add all the marbles up you get the total/denominator of 10. Then you find the fraction for orange marbles which is 2/10. Then the green, 2/10. Add the numerators and keep the denominator the same.
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is ____________. (continuous, discrete)
The independent variable is the ___________. (amount remaining on the card, numbers of months after the first year)
The dependent variable is the _____________. (amount remaining on the card, numbers of months after the first year)
Answers
Answer:
The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the
number of months after the first year.
The dependent variable is the
amount remaining on the card.
The answers are; The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the number of months after the first year.
The dependent variable is the amount remaining on the card.
What is dependent and independent variables?The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Given that, A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse, which meant that, when the number of months after the first year increases, the amount on the remaining car decreases, linearly.
The Independent variable is the numbers of months after the first year.
The Dependent variable is the amount on the remaining card, because this amount depends on the time it has passed since the first year, which is our independent variable.
If we call "Y" our dependent variables and "X" our Independent variable, This relationship can be written as Y= 25 - 2.5x.
If no months had passed since the first year, then x= 0 and the amount in the card equals $25, while if one month has passed since the first year, x= 1 and y= 22.5 (The amount in the card in this case is $22.5.)
Hence, The answers are a) discrete b) numbers of months after the first year c) amount remaining on the card
For more references on dependent and independent variables, click;
https://brainly.com/question/1479694
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The image of (-2, 6) after a dilation with respect to the origin is (-10, 30). What is the
scale factor of the dilation?
Answers
-2*5 is=-10
6*5=30
a−8a=210, then a= [blank] .
Answers
a=-30 because -30-(8 x -30)=210.
Can someone answer this fast
Answers
Answer:
C.
Step-by-step explanation:
Well the measure of the angle between the two angles that you have been given is 180 - 45 - 75 which is 60°
75° + 60° = 135°
The arc that the central angle intercepts is equal to it.
Arc VX is 135°
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder?
Answers
Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
Answer:
21 cm.
Step-by-step explanation:
V = π r^2 h
1029π = π * 7^2 * h The π is common so:
1029 = 7^2 h
h = 1029 / 49
= 21 cm.
What is the relationship between a sample and a population?
a. A sample is a census that represents a population.
b. A sample and a population share the same meaning.
c. A sample is a small part of a population that represents that population.
d. A population is a small part of a sample that represents that sample.
Answers
Answer:
c. A sample is a small part of a population that represents that population.
Step-by-step explanation:
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Relationship between sample and population : A sample is a small part of a population that represents that population.
Given,
Relationship between sample and population .
Here,
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Know more about sample and population,
https://brainly.com/question/30324262
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a) Simplify 48 : 64
I'm really not good at ratio
Answers
Answer:
3:4
Step-by-step explanation:
They both go into 16
48/16 = 3
64/16 = 4
3:4
Answer:
3:4
is the answer according to me
Find the volume of the composite figure if necessary on answer to the nearest 10
Answers
Answer:
Volume = 2448 cm3
Step-by-step explanation:
Volume = volume of cube + volume of pyramid
= 12*12*12 + 12*12*15/3
= 1728 + 720 =2448
PLEASE HELP ...find the volume of the composite solid
Answers
Answer:
≈ 113.1 in³
Step-by-step explanation:
The figure comprises of a cylinder and a cone.
V cylinder = bh= πr²hV cone = 1/3bh = 1/3πr²hTotal volume is:
V = π*2²*8 + 1/3π2²*3 ≈ 113.1 in³What is the domain of this function?
Answers
Answer:
Option A
Step-by-step explanation:
A domain of a function are all the inputs of the function. (or x-values)
The picture is a function mapping.
The left 'oval' contains the domain, as the right 'oval' contains the range.
The numbers in the left oval are [-1,3,5]. Therefore, they are the domain of the function.
Option A should be your correct answer.
If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?
Answers
Answer:
Step-by-step explanation:
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
Epstein family is making 11 gift baskets for a charity auction. Mrs. Epstein has already completed 4 1/3 baskets and Mr. Epstein has completed 1.5 baskets. How many more baskets need to be made?
What type of problem is this? How can you tell?
1.a part-whole problem because Mr. Epstein has made part of the amount Mrs. Epstein has made
2.a part-whole problem because the unmade part of the 11 baskets is unknown
3.a comparison problem because the number of completed baskets is compared to the number of unmade baskets
4.a comparison problem because the number of baskets Mrs. Epstein has completed is compared to the number Mr. Epstein has completed
ill give brainliest if u awnser
Answers
Answer:
2.a part-whole problem because the unmade part of the 11 baskets is unknown
Step-by-step explanation:
It is the only one that wold make sense with this problem
Answer:
the answer is b
Step-by-step explanation:
edge 2021
Siobhan scores 4 out of 10 marks in a science test,
what is her score as a percentage?
Answers
Answer:
40 percent
Step-by-step explanation:
covert fraction 4 out of ten is 40 %
Answer:
40%
Step-by-step explanation:
A percentage is basically x/100.
Therefore, if we convert Siobhan's mark into a fraction, we get 4/10. Then, by converting the fraction to fit x/100, we get 40/100 (remember, we must do the same to both the numerator and the denominator, so in this case it's multiply them by 10). Now that we have x, we can fit that into the answer to get 40%.
what trinomial is represented by the tiles in the square?
Answers
Answer:
X^2-12x+ C
Step-by-step explanation:
Move 12x
To find the value c=(b/2^2,divide the coefficient of X by 2 and square the result.
Divide 12 by 2
(-1.6)^2
Multiply-1 by 6
(-6)^2
Raise -6 to the power of 2
36
Which of the following equations has a solution of -50?
1.) X/2= -25
2.)-2r = 50
3.)b - (20) = -30
4.)n + (-16) = 65
Answers
Answer:
1
Step-by-step explanation:
when substituting the numbers back In #1 was the only one that -50 worked in
Answer:
1.) X/2= -25
Step-by-step explanation:
20 points plz help me out
Answers
Answer:
13) x=5
14) x=70
16) x=42
Step-by-step explanation:
Couldn't read 15 sorry
solve y=x+4
y=3x−1 to get the solution
Answers
Answer:
6
Step-by-step explanation:
x = 2 y = 6 Explanation: y = 3 x (1) y = x + 4 (2) Subtracting (1) - (2): 0 = 2 x − 4 2 x = 4 x = 4 2 = 2 y = 3 × 2 = 6
Answer:
x = 2.5
y = 6.5
Step-by-step explanation:
You can solve this by setting the two equations equal to each other, like so:
x + 4 = 3x - 1
Subtract x from both sides:
x + 4 = 3x - 1
-x - x
__________
4 = 2x - 1
Add 1 to both sides:
4 = 2x - 1
+1 + 1
_________
5 = 2x
Divide by 2:
2.5 = x
Plug in 2.5 for x into the equation:
y = x + 4
y = 2.5 + 4
y = 6.5
The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total.
Answers
Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.
A.
Circle
B.
Cube
C.
Rectangle
D.
Square
E.
Triangle
Answers
Answer:
Options C and E
Step-by-step explanation:
Option A. Circle
We can't get a cross section in the form of a circle.
Option B. Cube
We can't get a cross section in the form of a cube.
Option C. Rectangle
When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.
Option D. Square
We can not get a square by slicing a rectangular pyramid.
Option E. Triangle
By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.
Options C and E will be the answer.