42yd is your answer
Answer:
area of shaded region =area of (square -circle)
=l²-π(d/2)²
=14²π(14/2)²=196-49π=42.061=42yd
Find the equation of a line that passes through points (9,3) and (-6,5)?
Answer:
Y= X - 31.5
Step-by-step explanation:
find the gradient then the equation
Answer:
y-3 = -2/15 (x-9)
Step-by-step explanation:
First, we should find the gradient, m, which is [tex]\frac{rise (change.in.the.y.value)}{run (change.in.the.x.value)}[/tex]
This is [tex]\frac{3-5}{9-(-6)} =-\frac{2}{15}[/tex]
A linear (straight) line has a general equation y=mx+c
y = [tex]-\frac{2}{15\\}[/tex]x+c
We can rewrite the equation into the general form:
y-y1 = m(x-x1)
where y1 is the value of a y coordinate and x1 is the x value of the coordinate that the y1 value was taken from.
This stems from the idea that 0 = 0.
To make that equation true, we can make both sides equal to 0.
To do that, y - y1 has to be - and x-x1 has to be zero. m can be ignored as anything multiplied by 0 is 0.
Up until here, y1 and x1 are arbitrary constants. They are values that we have to find. However, we don't actually. We have coordinates that the x and y will equal to. (9,3)
Because 9 - 9 = 0 and 3 - 3 = 0, we can state that the value of y1 is 3 and x1 is 9.
Hence, the equation is y-3 = -2/15 (x-9)
You can rearrange the equation to make it into the form y = mx + c, but this is usually not necessary.
I hope this helped.
Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.
Answer:
exterior angle: 22.5°, interior angle: 157.5°
Step-by-step explanation:
the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides
=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°
the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]
=> [tex]\frac{360}{16}[/tex] = 22.5°
50 POINTS if p=(-2,-1) and Q=(-6,-3) are the endpoints of the diameter of a circle, find the equation of the circle
Answer:
(x+4)^2 + (y+2)^2 = 5
Explanation:
Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].
Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].
Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:
(x-h)^2 + (y-k)^2 = r^2
This becomes:
(x+4)^2 + (y+2)^2 = 5
Answer:
-4 , -2 , 5Step-by-step explanation:
(x-(-4))^2+(y-(-2))^2=5
since 2 negatives equal a positive, - -4 = +4
same thing for -2
(x+4)^2+(y+2)^2=5
R
SECTION II (50 MARKS)
Answer ANY FIVE questions in this section.
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
a) Calculate the length of AB, correct to one decimal place (4marks)
Answer:
17.4cm
Step-by-step explanation
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
To get the length of AB, we will use the cosine rule
AB² = BC² + AC² - 2(BC)(AC) cos <ABC
AB² = 8² + 12² - 2(8)(12) cos 120
AB² = 64 + 144 - 192cos12
AB² = 208 - (-96)
AB² = 208 +96
AB² = 208 - (-96)
AB² = 304
AB² = 17.4cm
Hence the length of AB is 17.4cm
What are Even number?
Even numbers are 2,4,6,8,10 :) ✨
Answer:
Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.
.................................................................. help ,,,,,
Answer:
Possible answer: 5a/ -6
Step-by-step explanation:
Not 100% sure to be honest.
Factor 3n^4 – 42n^3 + 147n^2
with work plasss
Answer:
3n^2(n−7)^2
Hope this helps you a lot!!!! Also sorry I dont have work its hard to explain on a computer.
Sara spent $27 on three volleyballs. How much did each volleyball cost?
CNJ
하
2 15find the zeros of the quadratic polynomial and verify the relationship between the zeros and coefficients T square - 15
Step-by-step explanation:
Here is your answer in the attachment.
Hope it helps :)
Which expression is equivalent to 2(3g - 4) - (8g + 3)?
Answer:
Step-by-step explanation:
6g - 8 - 8g - 3
-2g - 11
Answer:
-2g - 11
Step-by-step explanation:
2(3g - 4) - (8g + 3)
Use the distributive property to multiply 2 by 3g - 4.
6g + 2(-4) - (8g + 3)
6g - 8 - (8g + 3)
Find the opposite of 8g + 3.
6g - 8 - 8g - 3
Combine like terms.
-2g - 8 - 3
Subtract 3 from -8 to get -11.
-2g + 11
The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.
find the interior angles of a regular polygon which has 6, 10 and 20 sides
Answer:
(6)=120°
(10)=72°
(20)=36°
Step-by-step explanation:
(n-2)×180°
(6-2)×180°=720°
6÷720°=120°
10÷720°=72°
20÷720°=36°
pls help me my homework is due in a couple hours
Answer:
I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25
Help me, please!!
A triangle is shown with one side being 110 and the other 25 what is X?
Group of answer choices
110
25
180
45
Answer: 45
Step-by-step explanation:
110+25 is 135 180 minus 135 is 45
Shifts in demand worksheet At every grocery store in the area, the price of hot dogs has been at an all-time high.
Answer:
The answer is "Hot dog buns".
Step-by-step explanation:
In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.
It costs $10 to enter a petting zoo. Each cup of food to feed the animals is $2. If you have $14, write and solve an equation to determine how many cups of food you can buy.
PLEASE WRITE AN EQUATION
Answer:
5 cups
Step-by-step explanation:
To do this simply, we can just count up how many cups we can buy.
starting balance=
$12.50
after cup 1=
12.5−2.5=$10.00
after cup 2=
10−2.5=$7.50
after cup 3=
7.5−2.5=$5.00
after cup 4=
5−2.5=$2.50
after cup 5=
2.5−2.5=$0.00
From this, we can see that after buying the 5th
cup, the buyer is out of money, so that means that you can buy
5 cups of food to feed the animals before running out of money.
The number of cups is 2 cups
The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of cups be = x
The total amount y = $ 14
The cost of entering the zoo = $ 10
The cost of of feeding the animals per cup = $ 2
So , the equation will be
Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )
Substituting the values in the equation , we get
y = 2x + 10 be equation (1)
On simplifying the equation , we get
14 = 2x + 10
Subtracting 10 on both sides of the equation , we get
2x = 4
Divide by 2 on both sides of the equation , we get
x = 2 cups
Therefore , the value of x is 2 cups
Hence , the number of cups is 2 cups
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What's the value of
[tex] \sqrt{21 \times 21 \times 2 \times 2} [/tex]
Answer:
42
Step-by-step explanation:
as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42
Answer:
Hey!
Your answer after multiplying would be[tex]\sqrt{1764}[/tex] which equals 42.So, the answer is:-42!Hope this helps you!
:)
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $1.50 per slice of pizza. Nasim purchased a membership to this pizza shop. How much would Nasim have to pay the pizza shop if he bought 20 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answer: Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
Step-by-step explanation:
Let x = number of slices
As per given,
Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)
i.e. Total monthly cost for x slices = 5+1.5x
If x=20
Then, Nazim have to pay = 5+1.5(20)
= 5+30= $35
i..e Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
There are some cubes in a bag
1/6 of the cubes are red
The rest of the cubes are blue
Write the ratio of the number red cubes to blue cubes
Give your answer in the form 1:n
Answer:
Step-by-step explanation:
please help with this
...............
Answer:
d
Step-by-step explanation:
[tex]\frac{33}{4-\sqrt{5\\} }[/tex]
Answer:
[tex]12+3\sqrt{5}[/tex]
Step-by-step explanation:
[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]
solve for x
20
33
14
Step-by-step explanation:
by basic proportionality therom
x/33=14/20
20×x=14×33
20x=462
x=462/20
x=23.1
The value of x from the triangle is x = 22.1
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the triangle be ABC and ADE
The triangles ΔABC ≅ ΔADE
Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
So , the ratio of the sides will be
AD / AB = AE / AC
Substituting the values in the equation , we get
14 / 20 = x / 33
Multiply by 33 on both sides of the equation , we get
The value of x = ( 14 x 33 ) / 20
The value of x = 462 / 20
The value of x = 23.1
Therefore , the value of x is 23.1
Hence , The value of x from the triangle is x = 22.1
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please help me with this
Answer:
B part
Step-by-step explanation:
Answer attached .....
Hope it helps ^_^
posting this again, PLS help !!!
Answer:
A) They will pay more with the new price plan than the current one.
B) The new price plan is cheaper for 7 games.
Step-by-step explanation:
Current price charges;
$3 to rent shoes
$4 per game
New price plan;
$11 to rent shoes
$2 per game
A) If a customer rents shoes and plays 2 games;
At current price;
Cost = 3 + 4(2) = $11
At new price plan;
Cost = 11 + 2(2) = $15
Thus, they will pay more with the new price plan than the current one.
B) Customer bowls 7 games;
At current price;
Cost = 3 + 4(7) = $31
At new price plan;
Cost = 11 + 2(7) = $25
Thus, the new price plan is cheaper for 7 games.
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
Use the coordinate plane. Identity the ordered pair
that names each point.
PLEASE ANSWER THIS IS URGENT
Answer:
A= (-1.5, 1)
B= (0.5, -2)
C= (-1, -1.5)
D= (1, 1.5)
Eight minus the quotient of two and a number .
Answer:
8 - (2/x
hope it is helpful
The shadow of a 100 m long vertical pole is
of 10 m. Then what will be the angle of
inclination? Round your answer to the
nearest tenth of a degree.
Alex has six candy bars he wants to cut into fifths. How many 1/5 size pieces will he have
Answer:
30 pieces.
Step-by-step explanation:
According to the word problem, Alex wants to cut all six of his candy bars into fifths.
5/5 = one whole candy bar.
If there will 5 pieces for every candy bar, we can multiply 5 by 6.
5 x 6 = 30.
There will be 30 of the 1/5 size pieces.
–7 + 5j = 8j − 10
please help i really need it
Answer:
J = 1
Step-by-step explanation:
-7 + 5(1) = 8(1) - 10
-7 + 5 = 8 - 10
-2 = -2
j=1
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D) (-2, -9)
Step-by-step explanation:
X( -11, 8)
M(-6.5, -0.5)
-11 - (-6.5) = -11 + 6.5 = -4.5
8 - (-0.5) = 8 + 0.5 = 8.5
To get from Midpoint to endpoint:
(x , y) → (x - 4.5, y + 8.5)
Y endpoint:
M(-6.5, -0.5) → (-6.5 + 4.5, -0.5 - 8.5)
Y( -2, -9)