Answer:
Step-by-step explanation:
hello :
use equation for this circle : the center is : O(0,0)
the radius is 13
let (∆) this tangent in A(5,12) where an equation is : y-y1 = m(x-x1)
x1 = 5 and y1 =12 calculate : m the slope of this tangent
but (∆) tangent in A(5,12) for this circle : means the line (OA)⊥tangent(∆)
the slope of (OA)×m = -1
but the slope of (OA)= (12-0)/(5-0)=12/5
(12/5)×m =-1 so : m=-5/12
an equation for this tangent is y-12 = (-5/12)(x-5)
Answer:
12y + 5x = 169
Step-by-step explanation:
Slope of the normal:
(12-0)/(5-0)
12/5
Slope of the tangent
-5/12
y - 12 = (-5/12)(x - 5)
12y - 144 = -5x + 25
12y + 5x = 169
Write a real-world situation that can be modeled by the equation 834 -14s = 978 -10s
Answer:
Step-by-step explanation:
I have 834 dollars and I want to buy 14 pairs of shoes that are each s dollars. My total cost is the same as my friend. He has 978 dollars and he wants to buy 10 of the same shoes that I bought.
Apollo traveled 84 leagues in 6 days. Then he doubled his rate. How long would it take him
at this new speed?
Answer:
168 leagues in 12 days
Step-by-step explanation:
84 : 6
if doubled, 6 x 2 = 12 and 84 x 2 = 168
168 : 12
2. How many congruent angles does an isosceles right triangle have?
What are the measures of the three angles?
Final answer:
An isosceles right triangle has two congruent angles, which are both 45 degrees. The right angle measures 90 degrees.
Explanation:
An isosceles right triangle has two congruent angles. In this type of triangle, the two legs that form the right angle are of equal length. Let's call that length 'x'. The hypotenuse, which is the side opposite the right angle, is equal to 'x' times the square root of 2. The congruent angles in an isosceles right triangle are both 45 degrees, and the right angle measures 90 degrees.
The scores of a dart game are 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c. If 33 is the only mode, 46 is the median, and a>c, what is the possible range of values for a?
The possible range of values for 'a' in the dart game score sequence, considering 46 as the median and 33 as the mode, is from 47 to 55.
Explanation:In the list of dart game scores 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c, with the information that 33 is the mode, 46 is the median, and a > c, we can deduce the following:
As 46 is the median in a list of 11 scores, it is the 6th score when the list is ordered. Thus, there must be four scores greater than 46 which are 49, 55, a, and b assuming that b also must be greater than or equal to 46 as a > c and a and b are both greater than c.
Since 46 is not a mode, there cannot be a third instance of it among the scores a, b, or c. This implies a and b cannot be 46. Therefore, a has to be at least 47.
Now, we also know that a is greater than c, but we do not have any other scores to compare c with. Given that we don't know if c is greater than 46, 46 could potentially be c that would make a at least 47, thus the range of possible values for a starts from 47 to any number greater than that but not 56 as the next score after 55 is 56 which is not a as a > c. Therefore, a could technically be any score above 47 that is less than 56, so the range for a is 47 to 55.
68 is 17% of what number?
Enter
Answer:
400
Step-by-step explanation:
Is means equals and of means multiply
68 = 17% * what number
Change to decimal form
68 = .17 * what number
Divide each side by .17
68/.17 = .17/.17 what number
400 = what number
The number is 400
68 is approximately 17 percent of 400.
To find out what number 68 is 17% of, we can use the following formula:
(17 / 100) x = 68
Let's solve for x:
(17 / 100) x = 68
To isolate x, we can multiply both sides of the equation by (100 / 17):
x = (68 × 100) / 17
x ≈ 400
Therefore, 68 is approximately 17% of 400.
To understand this calculation, think of the percentage as a proportion or ratio. In this case, we are trying to find the ratio of 68 to the unknown number. The result, 0.17, represents how much of the unknown number 68 comprises. By multiplying this ratio by the unknown number, we obtain the value of x, which is approximately 400. Thus, 68 is roughly 17% of 400, indicating that 68 represents 17% of the value 400.
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The histogram displays the tree growth in one year for a sample of trees measured at Shady Farms.
How many trees measured grew 10 or more inches over the year?
How many trees are represented in the histogram?
Answer:
1.48 2.100
Step-by-step explanation:
To find out how many trees grew 10 or more inches, you should look at the '10 or more inches' section of the histogram and check the frequency, which represents the tree count. To find the total number of trees represented, you should add up the frequencies of all growth rate sections.
Explanation:To determine how many trees measured grew 10 or more inches over the year, you need to look at the histogram for the section that represents 10 or more inches. The y-axis of a histogram indicates frequency, which in this case, means the number of trees. Count the number of instances within the section for 10 or more inches. The total number of trees represented in the histogram can be found by adding the frequency (tree counts) for each section which corresponds to tree growth rates.
For example, if the '10 or more inches' section shows a frequency of 20, it means 20 trees grew 10 or more inches over the year. If the frequencies corresponding to all growth rates total up to 50, it means the histogram represents 50 trees.
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Question 2 - Brianna spends 7 3/5 hours in school each day. Her lunch period is 30
minutes long, and she spends a total of 42 minutes switching rooms between classes.
The rest of her day is spent in 6 classes that are all the same length. How long is each
class?
Answer:
64 minutes
Step-by-step explanation:
7⅗ hours = 7⅗ × 60 min
= 38/5 × 60
= 456 minutes
456 - 30 - 42 = 384 minutes for 6 classes
384/6 = 64 minutes per class
which equation has a constant of proportionality equal to 9?
Answer: 9y = 2x is the constant proportionality of 9
Step-by-step explanation:
Answer:
9y = 2x is the constant proportionality of 9
Step-by-step explanation:
2 dot plots on number lines going from 80 to 100 in increments of 2. For Deanna's Quiz Scores, there are 0 dots above 80, 82, and 84, 2 dots above 86, 3 above 88, 3 above 90, 2 above 92, 3 above 94, 2 above 96, and 0 above 98 and 100. For Amy's Quiz Scores, the are 0 dots above 80, 2 above 82, 1 above 84, 2 above 86, 1 above 88, 2 above 90, 1 above 92, 2 above 94, 3 above 96, 1 above 98, and 0 above 100. Use the dot plots to answer the questions. Deanna’s mean quiz score is approximately . Amy’s mean quiz score is approximately .
Answer:
Deanna’s mean quiz score is approximately is 90.93 Amy’s mean quiz score is approximately is 90.27
Step-by-step explanation:
:)
Answer:
Deanna’s mean quiz score is approximately
✔ 90.93
Amy’s mean quiz score is approximately
✔ 90.27
A class consists of 55% boys and 45% girls. It is observed that 25%
of the class are boys and scored an A on the test, and 35% of the
class are girls and scored an A on the test.
What is the probability of a student chosen at random and is found
to be a boy, given that the student scored an A?
A- 0.7778
B- 0.4545
C- 0.6364
D- 0.5556
Answer:
B 0.4545
Step-by-step solution
25/100 are boys and got an A
35/100 are girls got an A
so there are 25/55 students that got an a
if you convert to decimal its
0.4545...
A rectangle has a height of 2y^3+52y
3
+52, y, cubed, plus, 5 and a width of y^3+6yy
3
+6yy, cubed, plus, 6, y.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
9514 1404 393
Answer:
2y^6 +12y^4 +5y^3 +30y
Step-by-step explanation:
Given:
rectangle height: 2y^3 +5
and width: y^3+6y
Find:
the area as a polynomial
Solution:
The area is the product of height and width:
A = (2y^3 +5)(y^3 +6y)
A = (2y^3)(y^3 +6y) +5(y^3 +6y)
A = 2y^6 +12y^4 +5y^3 +30y . . . . area of the rectangle
The area of the rectangle, given the height 2y^3+52y and the width y^3+6y, is calculated by multiplying these expressions together. In standard form, the area is 2y^6+64y^4+312y^2.
Explanation:The question pertains to the calculation of the area of a rectangle given the expressions for its height and width. The area of a rectangle is calculated by multiplying its height and width together.
The given height of the rectangle is 2y^3+52y and the width is y^3+6y. Therefore, to calculate the area, we multiply these two expressions together. Using distributive properties of multiplication over addition, we get:
Area = (2y^3+52y) * (y^3+6y)
=
2y^6+12y^4+52y^4+312y^2
So, the area of the rectangle in standard form is 2y^6+64y^4+312y^2.
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Find the area of a circle with a
circumference of 11(3.14) feet.
Answer:
Approximately: 9.63
Step-by-step explanation:
Which of the following is an example of a rational number?
Question 12 options:
A)
3.
B)
3.456733244…
C)
D)
∞
what is -5x+-33x x= what
Answer: -38x
Step-by-step explanation: We will be solving for x.
Since both values in the equation have a variable of x, simply add -5x to -33x.
x is already simplified so we can not technically solve for it.
-5x + (-33x) = -38x (We could add the two values since they are equivalent, but we can not solve for x.)
Point R was rotated about the origin (0,0) by 90° clockwise.
Which figure is the image of R?
The mapping rule for a 90° clockwise rotation is (x, y) → (–y, –x), so R ( 2, -5) becomes (-5, -2).
Answer:Point C is the image of R.
The point C is the image of R.
Here,
Point R was rotated about the origin (0,0) by 90° clockwise.
We have to find the image of R.
What is 90 degree Clockwise rotation?
To rotate the figure 90 degrees clockwise about a point, every point (x,y) will rotate to (y, -x).
Now,
By figure;
Point R is ( 2, -5 )
Now, Point R was rotated about the origin (0,0) by 90° clockwise.
The image of point (x, y) = (y, -x)
Hence, the image of R = (-5, -2 ) = Point C
So, by graph;
Point C is image of Point R.
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Angle? Line? Line segment? Point?Ray?
Answer:
Ray XY
Step-by-step explanation:
Starts with a point ends with an arrow
Work out the percentage change when a price of £20 is increased to £50.
Answer:
The percentage change from 20 to 50 is 150 %
Step-by-step explanation:
(50 - 20) / 20) * 100 = 150 %
Answer:
150%
Step-by-step explanation:
Let's say the 20 increased by x%. Then, we can write the equation:
20 + x% * 20 = 50
Notice that both terms on the left side have 20, so we can factor this out:
20 * (1 + x%) = 50
Divide both sides by 20:
1 + x% = 50/20 = 2.5
Subtract 1 from both sides:
x% = 1.5
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 1.5
Multiply both sides by 100:
x = 150
Thus, the percent increase is 150%.
Hope this helps!
The solution to the system of equations is (-1, -7)
5x + y = -12
4x - y = 3
true or false
Answer:true
Step-by-step explanation:
Harry took a loan from the bank.
D represents Harry's remaining debt (in dollars) after t months.
What was the size of Harry's loan?
Answer:
Step-by-step explanation:
The " -200 " decreases the amount owed by $200 every month
So...he pays $200 per month
What is the area of a right triangle with a hypotenuse of 8 inches if one of the acute angles is 45 degrees?
.........................
hope this helps ^-^
16in^2
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?
Answer:
33 cm/year
Step-by-step explanation:
H = 33t + 210
Slope= 33
Slope is also the rate or change:
Growth rate: 33 cm per year
Answer:
Consider the given function:
[tex]h(t)=210+33t[/tex]
From the linear function, 210 is the height of the tree from whenever Renata moved to her new home, and 33 states that the tree grows 33 cm per year.
So "How fast does the tree grow?"
The tree grows 33 cm per year.
PLEASE HELP ASAP
Select the correct answer from the drop-down menu.
Find the polynomial.
{5} is the solution set of
Reset
Next
Answer:
the third one down is the answer
Option C is correct, x² - 10x + 25 = 0 is the polynomial for the solution set of {5}.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The polynomial with a solution set of {5} for the equation
x²-5x+25=0
x is the variable of the given polynomial
We know that (a-b)²=a²+b²-2ab
x²-5x+25 can be converted to (x-5)²
(x-5)² = 0
Expanding the square, we get:
x² - 10x + 25 = 0
Hence, x² - 10x + 25 = 0 is the polynomial for the solution set of {5}.
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hello:) how to do this? using partial fractions
Line
a
is parallel to line
b
. Which statement about lines
a
and
b
is true?
Math item stem image
Answer:
?
Step-by-step explanation:
Lin need need to mix a specific shade of orange for the set of the school play. The color uses 3 parts yellow for ever 2 parts red.
So I understand that for example: cups of red paint=6 and you have to multiply 6 by 3 to get 21 put I don’t know how to get the total cups of paint
Answer:
Could you provide more detail so that I can help. Perhaps a screenshot or photo of the problem?
Step-by-step explanation:
Find the length of the missing side
The length of the missing side is
Answer:
52 m
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 39^2 = 65^2
a^2 + 1521 = 4225
4225 - 1521 = 2704
Square root of 2704 = 52
Answer:
52m
Step-by-step explanation:
as this is a right angled triangle (has a 90° angle), you can use the Pythagoras theorem to work out the missing side.
Pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
side A squared (labeled on diagram below)
+ side B squared
= side C squared
for this example though, we don't know the length of side B so we need to swap around the formula.
[tex]c^{2} - a^{2} = b^{2}[/tex]
replace the letters for their numbers,
[tex]65^{2} - 39^{2} = b^{2}[/tex] (calculate)
[tex]65^{2} - 39^{2} = 2704[/tex]
2704 = b² but we want b by itself so we will square root b² (2704)
[tex]\sqrt{2704} = 52[/tex]
∴ side B = 52m (remember we were calculating in meters)
I hope this was helpful :-)
Which of the following circles has the greatest area?
A. Diameter: 10 yards
B. Diameter: 145/11 yards.
C. Diameter: 15.5 yards.
D. Radius: 8 yards
Answer:
C
Step-by-step explanation:
Please help. 3. What is the approximate perimeter of △ABC?
15 units is wrong btw, I already tried that.
The perimeter of a triangle is the sum of the lengths of all the sides of a triangle. The perimeter of the given triangle ABC is 14.2 units.
Distance between two points x and y can be calculated using the formula : √(x²+y²)
∴ Length of AB =[tex]\sqrt{(3-(-1))^{2}+(4-1)^{2} }[/tex]= [tex]\sqrt{4^{2} +3^{2} }[/tex] = 5
Length of BC = [tex]\sqrt{((-1)-(-2))^{2}+(1-5)^{2} }[/tex] = [tex]\sqrt{1^{2}+(-4)^2 }[/tex] = √17
Length of AC = [tex]\sqrt{(3-(-2))^{2}+(4-5)^{2} }[/tex] = [tex]\sqrt{5^{2}+(-1)^2 }[/tex] = √26
Perimeter of triangle ABC = Length of AB +Length of BC + Length of AC
= 5 + √17 +√26
= 5 + 4.123 + 5.099
= 14.222
≅ 14.2
Therefore, the approximate perimeter of ΔABC is 14.2 units.
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The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater range?
Group of answer choices
A)girls
B)boys
C)the ranges are the same
Answer:the girls
Step-by-step explanation:
Try It!
1. Use a ruler and protractor to draw a quadrilateral with
two equal sides that meet at a right angle, and two
nonadjacent angles of the same measure. What is the
name of the quadrilateral you drew?
The quadrilateral I drew is a _____
Answer:
You drew a square
Answer:
It's a kite, I was on the edpuzzle.