The measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
Similar trianglesFrom the question, we are to determine the measure of angle CED
In the diagram, we can observe that ΔABC is similar to ΔEDC
This is by the Angle-Angle similarity theorem
The theorem states that
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other
Thus,
Angle CAB = Angle CED
In the diagram,
Angle CAB = y
∴ Angle CED = y
Hence, the measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
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8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water Scott drank yesterday? Ascend Learning 8. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water . What was the number of pints of water Scott drank yesterday ? Ascend Learning
Answer:
4.2 pints
Step-by-step explanation:
3.5 × 1.2 = 4.2
Answer: 4.2 pints
Find the area of a circle with radius,
r
= 7.15m.
Give your answer rounded to 2 DP.
[tex] \boxed{\Large {\mathcal {{{\color{orange}{Area \: of \: circle \: = \: πr²}}}}}}[/tex]
r = 7.15m[tex]\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large πr²\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:{7.15}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:51.1225 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{ \cancel7} \: \times\: \cancel{51.1225} \: \: ^{ \red{7.303} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \:Area \: of \: circle }\:\large\blue\implies \tt \large {22} \: \times\:7.303 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \: 160.666 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Hence , the area of circle is 160.66 m²
Given :-
Radius of circle = 7.15mTo Find :-
Area of circleSolution :-
Area of Circle = πr²
putting the value of π and rArea = 3.14×(7.15)² m²
= 160.52465 , which rounded off to 2DP would be 160.52 m²
Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?
Answer:
50
Step-by-step explanation:
if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.
if 60% = 30 then
100% = ?
100x30÷60
Which is an exponential decay function
Answer:
should be either b or c
Step-by-step explanation:
ee ni mee ni my nee mo
80 pupils in a sports centre are surveyed. the pupils can only use the swimming pool and the gym. 32 pupils use the swimming pool. 43 pupils use the gym. 19 pupils use neither the swimming pool nor the gym. find the probability to select a pupil that uses the swimming pool but not the gym.
[tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.
It is given that:
Total students are 80
32 pupils use the swimming pool
43 pupils use the gym
19 pupils use neither the swimming pool nor the gym
To know the pupils who use both add 32+43 = 75
75-61= 14 pupils use both
32-14 = 18 pupils use only the swimming pool
43-18= 29 pupils use only the gym
Hence, [tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.
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Which set of equations has 3, 1 as its solution
Answer:
D.) A and D
Step-by-step explanation:
To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.
First, look for x = 3. This is the number located on the x-axis (horizontal line).
From this spot, since y = 1, move up 1 unit.
At this point, two lines intersect. These lines are lines A and D.
I need the answer too this fasttt.
Answer:
I'm pretty sure its a since if the exponints negite they drop the the bottom and non of the others look right
Hope This Helps!!!
Answer:
1/r^7 + 1/s^12
Step-by-step explanation:
See attached image.
The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.
The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have data set:
30, 35, 35, 45, 46, 46, 52, 55, 57
We can find below details from the data set:
Population size = 9
Minimum: 30
First quartile: 35
Median = 46
Third quartile = 53.5
Interquartile Range = 18.5
Maximum = 57
Outliers = none
Thus, the box plot first represents the data set option first is correct.
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answer help me me me me
Answer:
409
Step-by-step explanation:
296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.
Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of point B.
(−0.5, 1)
(4, −2)
(−5, 4)
(−1, 1)
Answer:
B. (4, -2)
Step-by-step explanation:
Please see attachment.
Hope this helps!
If not, I am sorry.
Tom sees an enormous thundercloud approaching
from the west. He sees a lightning flash at the top
of the cloud and hears thunder 15 seconds later. His
angle of sight to the top of the cloud is 65°. How
high is the top of the thundercloud off the ground?
Sound takes 5 seconds to travel 1 mile.
Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The angle is of 65º.The vertical distance is the height h.The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.Hence:
tan(65º) = h/3.
h = 3 x tan(65º)
h = 6.43 miles.
The thundercloud is 6.43 miles above the ground.
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Question 11 of 17
What are the coordinates of the point that is of the way from A to B?
Step-by-step explanation:
b l think so
33
65
56
Is this tangent?
Answer:
Yes it is what is the question you are answering and it's 90 degree
Answer:
yes line is a tangent to the circle
Step-by-step explanation:
the angle between a tangent and the radius of a circle is 90°
If the triangle is right then the line touching the circle is a tangent.
using the converse of Pythagoras' identity
if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right
longest side = 65 and 65² = 4225
56² + 33² = 3136 + 1089 = 4225
then the triangle is right and the line touching the circle is a tangent
Really confused about this one anyone mind to help 100 points
Answer:
9(x - 5)
Step-by-step explanation:
Just write the equation according to the sentence. It's THAT SIMPLE.
Answer:
d
Step-by-step explanation:
A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.
The probability that Alex takes out three red apples is 1/30.
The probability that Alex takes out one green apple and two red apples is 1/10.
What are the probabilities?The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)
4/10 x 3/9 x 2 /8 = 1 / 30
The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)
6/10 x 4/9 x 3/8 = 1 / 10
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whats the y-inter of the line? interpet the y-inter in the context of the problem
Answer:
How do you interpret the y-intercept in the context of the problem?
The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.
Step-by-step explanation:
In the diagram shown, the area of the triangle is 44.3m². If b = 14.1m and the angle at C = 48°, work out x. Round to 1 DP. X C b
If the height of the triangle will be 6.28 meters. Then the value of x will be 8.46 meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In the diagram shown, the area of the triangle is 44.3 m².
If b = 14.1 m and the angle at C = 48°.
Then the value of x will be
The height of the triangle will be
A = 1/2 × B × H
44.3 = 1/2 × 14.1 × h
h = 6.28 m
Then the value of x will be
sin 48° = 6.28 / x
x = 8.455 ≈ 8.46 m
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Determine the period.
The top of a tree makes angles s and t with points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and point L is y meters from the base of the tree.
1. In terms of x and y, find the height of the tree. Include your calculations.
2. If m∠t = 40° and y = 8 meters, calculate the height of the tree, rounded to two decimal places.
1. In terms of x and y, the height of the tree is [tex]h = y \times tan \ t^\circ[/tex] and[tex]h = x \times tan \ s^\circ[/tex]
2. The height of the tree is 6.71 meters
Trigonometry
From the question, we are to determine the height of the tree in terms of x and y
Using SOH CAH TOA, we can write that
[tex]tan \ t^\circ =\frac{h}{y}[/tex]
∴ [tex]h = y \times tan \ t^\circ[/tex]
Also,
[tex]tan \ s^\circ =\frac{h}{x}[/tex]
∴ [tex]h = x \times tan \ s^\circ[/tex]
2. If m∠t = 40° and y = 8 meters,
Then, the height of the tree
h = 8 × tan40°
h = 6.71 meters
Hence, the height of the tree is 6.71 meters
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__________ typically are used to display continuous measures.
The histograms typically are used to display continuous measures.
Charts TypesThere are different types of charts: histogram, line chart, pie chart, and others.
The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.
From the explanation, it is possible to identify the histograms typically are used to display continuous measures.
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Population 422 increasing by 10 people per year. Write an equation to determine the population (y) after any number of years (x).
Answer:
y = 10x + 422
Step-by-step explanation:
¿Es necesario que los triángulos congruentes tengan el mismo tamaño?
I don't understand your question
Sorry!!! :)
If the unit rate is 30 miles per hour, then how much miles is traveled in 9 hours?
Which are two possible reasons for the change within the frog population?
–3.2, 4.8, –7.2, 10.8, …
The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.
What is a geometric series?When all the terms of a geometric sequence are added, then that expression is called geometric series.
The given sequence ;
–3.2, 4.8, –7.2, 10.8, …
The common ratio
= -4.8/ 3.2
= - 1.5
The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.
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Which piecewise defined function is shown on the
graph?
f(x) =
f(x)
f(x)=
f(x) =
DONE
x+ 2, if 0 < x <4
x-3,if 4 < x <8
x+2, if 0≤x≤4
x-3,if 4 ≤x≤8
Intro
x+2, if 0 < x≤4
x-3, if 4 < x≤8
[x+2,if 0≤x <4
x-3, if 4 < x <8
10
8
20
2
9
8
x
10
Answer: (4)
Step-by-step explanation:
The first part has a closed hole at x=0 and an open hole at x=4, so it should be [tex]0 \leq x < 4[/tex].
This eliminates all the options except for (4).
The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A function that is based on a series of intervals is known as a specific goal. The absolute value serves as a frequent illustration. Other piecewise functions include the Boolean stepping, rectangle, and triangle functions.
The slope of the line is one. And the y-intercept is 2 and -3. Then the equation of the line is given as,
f(x) = x + 2, 0 ≤ x < 4
f(x) = x - 3, 4 ≤ x < 8
The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.
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what choices are solutions to equation below x^-7x=-24/4
check all that apply
a. x=2
b. x=6
c. x=1
d. x=12
Please help thank you
Answer:
Line A: 4
Line B: -2
Step-by-step explanation:
Line A
Pick any two points from the graph such as (2, -1) and (3, 3)
Use the gradient formula to calculate the gradient:
Change in y/change in x
-1 -3/2-3 = -4/-1 = 4
The gradient of line A is 4
Line B
(1, -1) and (0, 1)
-1 - 1/1 - 0 = -2/1 = -2
The gradient of line B is -2
Answer:
Line A is 4.
Line B is -2.
Step-by-step explanation:
See attached image
PLEASE HELP!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!
Answer:
-11 < x < 7
(first option listed)
Step-by-step explanation:
we know that x² + 4x < 77
first, we should rewrite our expression in standard
x² + 4x - 77 < 0
factor {find two numbers that multiply to c (77) and add to b (4) }
(x - 7) (x + 11) < 0
set both roots to 0:
x - 7 < 0
+ 7 + 7
x < 7
x + 11 < 0
x > -11
so, x will be < 7 and > -11
which can be expressed as
-11 < x < 7
So, -11 < x < 7
Answer:
-11 < x < 7
Step-by-step explanation:
1st option;
4 questions! Write an equation in slope-intercept form for each of the following:
1) Slope -4 ; y-intercept 6
2) Slope 3 ; passes through (2,5)
3) (1,-1) , (-2,0)
4) (0,0) (4 - 3 1/2)
These are practice questions! ASAP!
what is the logarthic form
Answer:
Step-by-step explanation:
The answer is (C).