Answer:
2l + 2w = 60
Step-by-step explanation:
||
Writing ratios for real-world situations
There are 3 red marbles and 8 blue marbles in a bag.
Answer:
3:11 or 8:11
Step-by-step explanation:
I think your missing some imformation! I'm guessing the ratio of picking a red marble is 3:8 while a blue marble is 8:3
Factoring using GCF 15cd + 30c^2d^2
Answer:
15cd(1 + 2cd)
Step-by-step explanation:
greatest common factor is 15cd
[tex]15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)[/tex]
????????????????????
Answer:
[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]
Step-by-step explanation:
This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.
As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.
Furthermore, let two segments (in green) be drawn one from point C and point D.
To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].
Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,
[tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].
Then, performing cross multiplication yields
[tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].
Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.
Question 19 of 40
Which of the following is the correct definition of an angle?
OA. A shape formed by two intersecting lines or rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting rays
D. A shape formed by two intersecting lines from a common point
The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.
What is a line segment?A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.
Now, an 'angle' is formed by two rays having a common end-point.
As the angle has a common endpoint,
Therefore it is not possible to form an angle by intersecting two rays having different endpoints.
Hence, option D is correct.
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One third of all guitars that are sold in the shop is a Stratocaster, one fourth of them are Telecasters, and one fifth of them is a Les Paul. If Jamie goes and buys a guitar, what are the chances she gets a telecaster or a Les Paul?
A. 58%
B. 53%
C. 45%
D. 43%
The probability that Jamie buys a telecaster or a Less Paul is 45% or forty-five percent.
How to find out the probability?1. Find the individual probabilities:
Probabilities to buy a telecaster:
1/ 4 = 0.25Probabilities to buy a Les Paul:
1/ 5 = 0.22. Add the probabilities:
0.25 + 0.2 = 0.453. Multiply by 100:
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Which of the following is equivalent to the expression, i^39?
O A. -1
OB. 1
O C. -i
O D. i
The scale on a map says 1 inch = 25 miles. If two towns are 3 1/2
apart on the map, what actual distance separates them?
Answer:
87.5 miles
Step-by-step explanation:
Distance between points = 3 1/2 × 25 = 87.5 miles
What is [3-8]-(12÷3+1)²
Answer:
-30
Step-by-step explanation:
What is [3-8]-(12÷3+1)²
[3-8]-(12÷3+1)² =
[3 - 8] - (4 + 1)² =
-5 - (5)² =
-5 - 25 =
-30
John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest the money? Round to the hundredth.
John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
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Chico, California, hosts the annual Silver Dollar Fair.
In 2016, contestants competed in the Inaugural World Silver Dollar
Pancake Eating Championship, where they had 8 minutes to eat as
many one-ounce silver dollar pancakes as possible.
Answer: what is the question
Step-by-step explanation:
Given 2 and 4 are vertical angles
prove 2 and 4.
Statements and reasons.
help
∠2 and ∠4 are vertical opposite angles and they are congruent.
How to prove vertical angles?Vertically opposite angles are congruent.
Therefore, let proof ∠2 and ∠4 are vertical angles
Hence,
m∠2 + m∠3 = 180
∠2 and ∠3 are linear pair.
m∠3 + m∠4 = 180
∠3 and ∠4 are linear pair.
∠2 and ∠4 are vertical angles
m∠2 + m∠3 = m∠3 + m∠4
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Answer: View picture below!
Step-by-step explanation: Just did it!
The stock of Company A lost 2% today to $73.50. What was the opening price of the stock in the beginning of the day?
The opening price of the stock in the beginning of the day will be $75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The stock of Company A lost 2% today to $73.50.
Let x be the opening price of the stock in the beginning of the day.
Then the opening price of the stock in the beginning of the day will be
0.98 · x = 73.5
x = 73.5 / 0.98
x = $75
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Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your
answer with no spaces.
v+2=4(x-3)
Answer here
graph the line through (1,1) with slope 3/2
Answer:
y = (3/2)x - (1/2)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m" (3/2). To find the value of "b", you should plug "m" into the equation in addition to the "x" and "y" values from the given point (1,1)
(1,1) ----> x = 1, y = 1
m = 3/2
y = mx + b <----- Slope-intercept form
y = (3/2)x + b <----- Plug (3/2) into "m"
1 = (3/2)(1) + b <----- Plug values into "x" and "y" from point
1 = (3/2) + b <----- Multiply (3/2) and 1
(2/2) = (3/2) + b <----- Change 1 into common denominator
(-1/2) = b <----- Subtract (3/2) from both sides
Because you now have values for both variables, you can construct your final equation.
y = (3/2)x - (1/2)
For which value(s) of xwill the rational expression below equal zero? Check
all that apply.
(x - 3)(x + 6)/x +7
A. -6
B. -7
C. 7
D. 3
E. 6
F. -3
Answer:
A. -6
D. 3
Step-by-step explanation:
1. The function j(x) is shown on the graph below.
Answer:
1) k = -3
2) B. The curve would be narrower, but the vertex would be in the same position.
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Question 1
When a graph is shifted up or down we add or subtract the number of units it has shifted from the function.
From inspection of the graph, the vertex of function j(x) is (0, 2)
From inspection of the graph, the vertex of function j(x) + k is (0, -1)
Therefore, function j(x) has been translated 3 units down.
Therefore, the value of k is -3, since the function of the graph is j(x) -3
Question 2
When discussing the stretching of curves, it is usual to always refer to it as a "stretch" rather than a stretch or compression.
If the scale factor a is 0 < a < 1 then the graph gets wider.
If the scale factor a is a > 1 then the graph gets narrower (i.e. "compressed").
h(x) to h(2x) means that the function h(x) has been stretched horizontally by a factor of 1/2. The other way to say this is that is have been compressed horizontally by a factor of 2. In any case, as a > 1 the graph gets narrower.
Therefore, the vertex would stay in the same place but the curve would be narrower.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \texttt{ \:The absolute maxima of f is f(-8) = 6} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Absolute maxima is the maximum possible value for a given x, of a function.
and here, the maximum value is at -8, and the maximum value is 6.
[tex]\qquad \tt \rightarrow \: maximum - \: \: f( - 8) = 6[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Please help!
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
8
4
3
2
Answer:
4 is the answer
Answer:
4 is the answer I believe
Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6
Answer:
he should check
3x and x
1/4 and 0.5
-m and 8m
-xy2 and 2xy2
Step-by-step explanation:
Answer:
The answer is A B C D H
Step-by-step explanation:
The variables x and y vary directly. Use the given values to write an equation that relates x and y
The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
The question is incomplete.
The complete question is:
The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6
From the question:
y ∝ x
y = kx ..(1)
k is the constant of proportionality after removing the proportional sign.
Plug x = 18 and y = 6
6 = 18k
k = 1/3
Plug the value of k in the equation (1)
y = (1/3)x
Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
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Pandas: There is a well-studied panda population in Wuyipeng. In 1981 there were 25 pandas and the researchers determined that they had an annual population grows by 6.6% each year. Which of the following models correctly represents this data?
The equation that models the data on pandas is FV = 25(1.066)^t.
What models the data?The formula for calculating future value of the pandas is:
FV = P (1 + r) ^n
FV = Future value P = Present value R = annual population growthN = number of yearsFV = 25(1.066)^t
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The radius of a circle is 5 cm (to the nearest cm). What is the smallest value
that the circumference could have?
Answer: 31 cm.
explanation:
Given, Radius = 5 cm (near to)
this means the radius is near 5 cm. It can be 4.9, 4.99, 4.999.....or 5.01,5.001,5.001...... and so on.
So, the circumference of the circle is given by:-
Circumference = 2× [tex]\pi[/tex] × r
⇒ 2 × 22/7 × 5 (for the smallest value, we'll consider r as 5 and then round off the circumference to the smallest value)
⇒ 220/7 ≈ 31.43 cm
rounding off to the smallest integer, we have
Circumference = 31 cm.
The smallest value that the circumference could have is 10 [tex]\pi[/tex]cm
Using Formula,
Circumference = 2 [tex]\pi \\[/tex] r
Radius = 5 cm
So, C = 2 [tex]\pi[/tex] 5
C = 10 [tex]\pi[/tex]cm
Therefore circumference is 10 [tex]\pi[/tex]cm.
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Suppose the equilibrium wage for unskilled workers in New Jersey is $16 per hour. How will the wages and employment of unskilled
workers in New Jersey change if the state legislature raises the minimum wage from $8.85 per hour to $15 per hour?
Wages of unskilled workers will increase/decrease/or not change?
Employment of unskilled workers will increase/decrease/or not change?
Answer:
it will increase the production
Step-by-step explanation:
How to solve this?? (-4)-(-8)+(-4)
find the area of this shape
Answer:
Area of shape is 9.42 units²
Step-by-step explanation:
From the picture we observe:
1. The shape is 3 quarters of circle as one quarter is excluded (note the right angle);
2. The radius of the circle is 2 units.
Use area formula of circle to find the area of given shape:
A = πr², area of circleA = 3πr²/4 = 3*3.14*2²/4 = 9.42 units², area of shapeAnswer:
a = 4pi
Step-by-step explanation:
The formula of finding a area of a circle is "a = piR^2.
Replace the R with the radius which is 2 for this circle.
8.6 - 4 x 2 + 3/10 please i need this answer
Answer:
0.9
Step-by-step explanation:
What are the values for y when x is 1, 3, and 5?
y = 3x + 10
Answer:
13, 19, 25.
Step-by-step explanation:
y=3x+10
-------------
x=1, y=3(1)+10=3+10=13
x=3, y=3(3)+10=9+10=19
x=5, y=3(5)+10=15+10=25
Look at the tree shown in the diagram. What is the bight of the tree rounded to the nearest tenth foot?
Answer:
Correct answer is B, 69.3 feet
Step-by-step explanation:
Since we have a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, so the length of the shorter leg is 1/√3, or √3/3 times the length of the longer leg.
[tex]120( \frac{ \sqrt{3} }{3}) = 40 \sqrt{3} = 69.3[/tex]
What is the formula for finding the area of abc?
The formula for finding the area of the triangle ΔABC will be half of the product of the base and height. Then the formula is A = 1/2 x BC x AD.
What is the area of the triangle?The area of the triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the triangle.
The triangle is given below,
We have
B = BC
H = AD
Then we have
A = 1/2 x BC x AD
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solve for x -
[tex]\bold{x {}^{2} + 5x + 6 = 0}[/tex]
ty! ~
[tex] {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.[/tex]
The value of x = -2 and -3 .
Answer:
hope it helps...
it has both co ordinate and factorization
