The length of segment TU for the intersecting chords is determined as 28.
What is the length of TU?The length of segment TU is calculated by applying intersecting chord theorem for two chords in a circle as shown below.
From the given diagram we will have the following equation;
UV (UV + TU) = WV (WV + XW)
We know that TU is 3 more than XW;
TU = XW + 3
So our new equation becomes;
26( ( 26 + XW + 3) = 27( 27 + XW)
26(29 + XW) = 27 (27 + XW)
Simplify further as follows;
754 + 26XW = 729 + 27XW
754 - 729 = XW
25 = XW
The length of segment TU is calculated as;
TU = 3 + 25
TU = 28
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Sarah's favorite candy consists of sour patch kids and M&Ms. She has 17 total packages of sour patch kids and M&Ms. She has 5 more packages of sour patch kids than M&Ms. How many packages of each Candy does Sarah have?
Answer:
Sarah has 11 packages of sour patch kids and 6 packages of M&Ms
Step-by-step explanation:
11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem
Answer:
Sarah has 11 packages of sour patch kids and 6 packages of M&Ms
Step-by-step explanation:
11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem
hope this helps
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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Use the slope formula to find the slope of the line through the pair of points (−2,6) and (−3,−4).
Answer:
10
Step-by-step explanation:
Slope Formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
=\(\frac{-4-6}{-3-(-2)}\)
=\(\frac{-10}{-1}\) = 10
Hope this helps!
8. In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a road
which leads to the top. Find the number of degrees contained in the angle which the road makes with the
horizontal.
7.18° the angle which the road makes with the horizontal.
Define Trigonometric functions
The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given,
Height of hill = 250 feet
Length of the slope = 2000 feet
find the angle,
we know, sin(x) = perpendicular / hypotenuse
sin(x) = 250 / 2000
x = sin^-1 (0.125)
x = 7.18°
Hence, 7.18° the angle which the road makes with the horizontal.
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If you were to roll a six-sided number cube 60 times, about how many times would you expect the number cube to land on a 1?
Answer:
10
Step-by-step explanation:
Probability is the likeliness of happening of an event.
Probability of any event A can be be defined by
no. of time event A happens/ total no. all possible event that can occur
___________________________________
In the problem
probability of occurrence of 1 on rolling a cube is needed.
A cube has six sides with one written on one sides and rest has 2,3,4,5,6.
No of times 1 can occur on rolling the dice once will be = 1
Since there six sides and and each has different number (1,2,3,4,5,6)
There is chance that each of the number can come.
Thus, total no possible outcome = 6
Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome = 1/6
_____________________________________________
If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.
If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome
Thus , If you were to roll a six-sided number cube 60 times, about 10 times it is expected that the number cube to land on a 1.
Answer:
20
Step-by-step explanation:
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. What is C?
Answer:
C is 6.3
Step-by-step explanation:
We can apply the pythagorean theorum to find C.
A is 2, B is 6
A^2 + B^2 = C^2
2^2 + 6^2 = C^2
C^2 = 40
C = 6.32455532
What is the circumference of a circle with a radius of 11 cm? (Use = 3.14.)
A.
103.62 cm
B.
69.08 cm
C.
34.54 cm
D.
379.94 cm
First, we need to follow the circumference of a circle formula, which is \(C = 2 \pi r\). Since we know the radius, we can plug 11 for the radius and 3.14 for pi.
The equation should now look like this: \(C = 2 * 3.14 *11\). Then, we multiply. After solving, the circumference of the circle is 69.08 centimeters.
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
Approximate -16+√40 to the nearest tenth.
A:9.7
B:6.3
C:-6.3
D:-9.7
Answer:
D. -9.7
Step-by-step explanation:
the square root of 40 is 6.32
-16 + 6.32 = -9.68
-9.68 rounded the nearest tenth is -9.7
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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A sequence of translations maps triangles ABC to triangle A'B'C'.
Triangle ABC has vertices A(5,7), B(-5,4), and C(1,7).
The coordinates of A' are (2,9).
What are the coordinates for B' and C'?
*Don't forget the parenthesis when answering.
B' is:
C' is:
Using translation concepts, it is found that:
B' is: (-8, -2). C' is: (-2, 9).-------------------
In the original triangle, we have A(5,7).After the translation, the coordinates are: A'(2,9).That is, 3 was subtracted from the x-coordinate, while 2 was added to the y-coordinate. Thus, the translation rule is: \((x,y) \rightarrow (x - 3, y + 2)\).Applying the same for vertices B and C:\((-5,-4) \rightarrow (-5 - 3, -4 + 2) = (-8, -2)\)
\((1,7) \rightarrow (1 - 3, 7 + 2) = (-2, 9)\)
Thus:
B' is: (-8, -2).
C' is: (-2, 9).
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What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10
choices
48,237.07
48,236.7
4,830.07
none of these
:)
Answer:
48,236.7
Step-by-step explanation:
40,000 + 8,000 + 200 + 30 + 6 + 7/10
7/10 can also be written .7
A car depreciates in value each year. Which of the following is NOT true about the value of the car after t years
Answer:
The car will be worth more in 20 years than the amount it was purchased for.
Step-by-step explanation:
If you look at the graph you see a downward trend, not an upward. That makes it impossible for it to be worth more Hopefully this helps.
Answer: B (top right)
Step-by-step explanation:
Find the distance between the points ( – 5,1) and (1,9)
Answer:
10 units
Step-by-step explanation:
I worked out the problem, I hope this helps!
2/5gal fill up 3/4 of a tank how many gallons will it take
Answer:
8/15 gallons or 0.5333 gallons
Step-by-step explanation:
x = total
0.4 = 0.75x
0.4/0.75 = x
0.533 = x
0.533 = 8/15
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Round 98.643 to the nearest hundredth place.
Answer:
98.64
Step-by-step explanation:
Answer: 98.640
Step-by-step explanation:
The hundredth place is 4 so u look to the right where the next digit is. Then you have to look if the next digit is 5 or more or 5 or less. 3 is 5 or less so u look back to the left where the 4 is and u leave that same but make the 3 a 0 and then u will get 98.640.
x=3y−5 2x+12y=-4 please solve the system of equations and show your work
sub x = 3y - 5 into equation 2
2(3y - 5) + 12y = -4
6y - 10 + 12y + 4 = 0
18y - 6 = 0
18y = 6
y = 6/18
y = 1/3
sub y = 1/3 into equation 1
x = 3(1/3) - 5
x = 1 - 5
x = -4
Which is the correct formula to find the area of triangle AED? A B D E C area of triangle AED 1 • CDAE 2 area of triangle AED = AE - DE 2 area of triangle AED 1 2 • CE - AE area of triangle AED = AE - AE Reset Next
Answer:
option b.
area of triangleAED=1/2×AE×DE
Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?
The rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
What is the transformations rule that was used here?A transformation is a rule that is used to manipulate the position of a point of geometric figure.
Analyzing the figure, rotation of ΔJKL through the angle 90 degrees in a counter-clockwise direction gives us ΔJ'K'L' .
ΔJ"K"L" is been gotten also using ΔJ'K'L' through the refraction of ΔJ'K'L' across the x-axis.
In this case, rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
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Answer: C). 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Step-by-step explanation:
the corollary to the polygon angle-sum theorem finds the measure of each interior angle of a regular n-gon. *write a formula to find the measure of each interior angle using n
The Corollary to the polygon is explained below and the formula to find the measure of each interior angle is " (n - 2)×180°/n " .
The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :
that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)
In a regular "n-gon" , all the interior angles are said to be congruent.
Let "x" be measure of each interior angle of a regular n-gon.
So , we can write ;
⇒ Sum of interior angles = (n)×(x) ;
Equating the above expressions with equation(1),
⇒ (n)×(x) = (n - 2) × 180° ;
On Solving for x,
⇒ x = (n - 2)×180°/n ;
Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n .
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A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 168 ft3. If they already have the length measured at 7 feet and the width at 6 feet, what is the height needed to reach the desired volume?
3 feet
3.25 feet
4 feet
4.25 feet
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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What is the answer to 1010 + 0101? (Binary) *
Answer:
1111 is the answer to your question.
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
A recipe that makes 18 chocolate chip cookies calls for 2.5 cups of flour. How many cookies can you make if you have 3.75 cups of flour (and enough of the other ingredients)?
Answer:
27
Step-by-step explanation:
3.75/2.5x18=27
a histogram showing u.s. household income is highly skewed right. which of following statistics would best describe the center of the distribution? question 10 options: 1) median 2) variance 3) mean 4) mode
......,,........,.....-.......
The median would best describe the centre of the distribution for a highly skewed right histogram of US household income. The correct option is A.
What is the median?The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.
Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.
The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.
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