If we start with a circle with a marked radius line, and turn the circle a bit, the area marked off looks something like a wedge of pie or a slice of pizza; this is called a "sector" of the circle, and the sector looks like the green portion of this picture:
circle with central angle "θ" and radius "r" marked, delineating the sector, which is shaded a light green
The angle marked off by the original and final locations of the radius line (that is, the angle at the center of the pie / pizza) is the "subtended" angle of the sector. This angle can also be referred to as the "central" angle of the sector. In the picture above, the central angle is labelled as "θ" (which is pronounced as "THAY-tuh").
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Suppose that LM = 36. Use the Triangle Proportionality Theorem to find PM. Round to the nearest tenth
Answer: 14.4units I think
Solve the inequality
J+7>3j-4
Answer:
E. j<5.5
Step-by-step explanation:
Step by step explanation
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the bottom of the window is b feet. The distance between the ceiling and the top of the window is a feet.
This relationship can be described by the equation
a
=
15
−
(
b
+
6
)
a=15−(b+6).
The customer wants the window to have 5 feet of space above it. Is the customer describing a or b? What is the value of the other variable?
Answer:
2.5 feeeeeeeeeeeeeeeeeeeet i think
Place the following events in sequence:
A) Your body begins overheating;
B) Nerves and hormones communicate with the hypothalamus;
C) You begin sweating
Answer:
acb
Step-by-step explanation:
Place the following events in sequence:
Your body begins overheating;You begin sweatingNerves and hormones communicate with the hypothalamus;.What is Nerve cells?Nerve cells, also known as neurons, are "excitable" cells that can convert different stimuli into electrical signals by sending continuous sequences of information about the internal and external environment to the central nervous system (CNS).
These are found all over the body but are particularly concentrated in the brain and spinal cord. The nervous system is built on nerves as well as the brain and spinal cord.
The nervous system sends information from the brain and spinal cord to the rest of your body, so if part of this system is damaged, these signals can't be transmitted effectively which leads to balance problems and falls.
Thus, the following events in sequence:
Your body begins overheating;You begin sweatingNerves and hormones communicate with the hypothalamus;.Learn more about Nerve cells, here:
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30 points!
Which expression is equivalent to 32^3 sqaure root of 18y divided by 8^3 sqaure root 3y, if y is not equal to 0?
A)12^3 sqaure foot of 2y^2
B)4^3 sqaure root of 6
C)4^3 sqaure root of 15y
D)4^3 sqaure root of 6y
Answer:
B
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors
The correct answer is [tex]4\sqrt[3]{6}[/tex] which is option B.
What is radical?
The symbol [tex]\sqrt[n]{x}[/tex] indicates a root which is called as radical and it is read as x radical n or nth root of x.
How to simply the radical in the given expression?Factor the terms of numerator of the given expression.
[tex]\frac{4\cdot8\sqrt[3]{3\cdot6y} }{8\sqrt[3]{3y} }[/tex]
On dividing the common factors we get,
[tex]4\sqrt[3]{6}[/tex]
Therefore, the simplified expression for the given expression is [tex]4\sqrt[3]{6}[/tex] which is option B.
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The circumference of a circle is 147 cm.
What is the radius of the circle?
Answer:
r≈23.4cm
Step-by-step explanation:
A study has been done to test the effect of rock music on auditory attention. Eighteen eighth-grade students are randomly divided into two groups of 9 students, and the same hearing test was given to these students. The first group of students listened to rock music for 25 minutes right before taking the test, and the other group of students took the test without listening to the music. Here are their scores.
Group with music: 78 85 87 93 97 80 94 88 86
Group without music: 64 66 77 84 63 72 85 79 80
Assume normal populations with equal variance and construct a 95% confidence interval for the mean difference.
Find the lower bound of the confidence interval (round off to the nearest integer).
Answer:
The Lower bound of the confidence interval to the nearest integer = 6
Step-by-step explanation:
Calculate the Lower bound of the confidence interval
First step : Calculate the mean and standard deviation for each groups
Group 1 ( group with music )
N = 9
Total ( ∑x ) = 788
mean = 788 / 9 = 87.55
Variance ( s^2 ) = 39.777
s = [tex]\sqrt{39.77}[/tex] = 6.31
Group 2 ( group without music )
N = 9
∑x = 670
mean = 670 / 9 = 74.44
variance ( s^2 ) = 72.27
s = [tex]\sqrt{72.27}[/tex] = 8.50
Next : Calculate the pooled variance , standard error and confidence interval
Pooled variance ( Sp^2 ) : 896.43 / 16 = 56.03
standard error : S ( M1 - M2 ) = √((56.03 / 9) + (56.03 / 9)) = 3.53
confidence interval : μ1 - μ2 = ( M1 - M2 ) ± Ts ( M1 - M2 )
= 13.1111 ± (2.12 * 3.53 )
= ( 5.630 , 20.591 )
The Lower bound of the confidence interval to the nearest integer = 6
Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 158 inches? Enter the answer in the box.
meters
Question 8
2 pts
You stand 40 feet from a tree. The anlge of elevation from the ground to
the top of the tree is 47 degrees. How tall is the tree? (round to the nearest
tenth)
9514 1404 393
Answer:
42.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.
tan(47°) = height/(40 ft)
height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)
height ≈ 42.9 ft
The tree is about 42.9 feet tall.
Question 2 Solve the problem below using a graphing calculator. Estimate o points
your answer to four decimal places
X^2= 4/x + ln(x)
A 1.5874
B 1.4596
C. 1.7241
D. 1.6985
A small jet can fly
858
858
miles in
3
3
hours with a tailwind but only
702
702
miles in
3
3
hours into a headwind. Find the speed of the jet in still air.
Answer:
The speed of the jet in still air is 260 miles per hour.
Step-by-step explanation:
Given that a small jet can fly 858 miles in 3 hours with a tailwind but only 702 miles in 3 hours into a headwind, to find the speed of the jet in still air the following calculation must be performed:
858/3 = 286
702/3 = 234
(286 - 234) / 2 = X
52/2 = X
26 = X
286 - 26 = 234 + 26
260 = 260
Therefore, the speed of the jet in still air is 260 miles per hour.
2(x + 1),
x = 5
Substitute
Answer:
12
Step-by-step explanation:
2(5+1) =
2(6) =
12
While shopping in Georgetown, Ruben bought a wooden bench that was marked down 80% from an original price of $66.72. If the sales tax in Georgetown is 5%, what was the total cost of the wooden bench?
Answer:
14.01
Step-by-step explanation:
Answer:
$14.01
Step-by-step explanation:
pls I need the answer and explanasion
Answer:
=no of children who like oatmeal/toatal population*100%
=15/50*100%
=(1500/50)%
=30%
Step-by-step explanation:
The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________.
Answer:
Volume of a cylinder.
Step-by-step explanation:
The given equation is :
[tex]V=\pi r^2 h[/tex]
Where
r is the radius
h is the height
This equation is used to find the volume of a cylinder.
For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :
[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]
So, the given equation is used to find the volume of a cylinder.
If you answer this question correctly i'll give you brainliest
Answer:
175
Step-by-step explanation:
Simplify ((7+sin^2 theta+cos^2 theta)/(4sin^2 theta + 4cos^2 theta))
Answer:
2
Step-by-step explanation:
[tex]\frac{7+sin^{2}\theta+cos^{2}\theta}{4sin^{2}\theta+4cos^{2}\theta}} = \frac{7+(sin^{2}\theta+cos^{2}\theta)}{4(sin^{2}\theta+cos^{2}\theta)}} =\frac{7+(1)}{4(1)}}=\frac{8}{4} =2[/tex]
[tex](sin^{2}\theta +cos^{2}\theta=1)\\[/tex]
A cable is 60 meters long. How long is the cable in decimeters?
Be sure to include the correct unit in your answer.
Answer:
600 decimeters
Step-by-step explanation:
multiply the meter length by 10
60x10=600
The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student works, given that it's a
senior.
Grade
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P( Work | Senior) = [?]
Round to the nearest hundredth.
Answer:
[tex]P(Work | Senior) = 0.14[/tex]
Step-by-step explanation:
Given
The attached table
Required
[tex]P(Work | Senior)[/tex]
This is calculated using:
[tex]P(Work | Senior) = \frac{P(Work \ n\ Senior)}{P(Senior)}[/tex]
This gives:
[tex]P(Work | Senior) = \frac{n(Work \ n\ Senior)}{n(Senior)}[/tex]
From the table:
[tex]n(Work \ n\ Senior) = 5[/tex]
[tex]n(Senior) = 25 + 5+ 5 = 35[/tex]
So:
[tex]P(Work | Senior) = \frac{5}{35}[/tex]
[tex]P(Work | Senior) = 0.14[/tex]
Answer:
14%
Step-by-step explanation:
add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).
The hypotenuse of a right triangle will be a diameter of the triangle. True or false?
help needed!! Mark as brainliest
Given:
The equation is:
[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]
To find:
Whether the equation is true or not.
Solution:
We have,
[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]
Taking LHS, we get
[tex]LHS=2\sum_{n=3}^7n^2[/tex]
[tex]LHS=2[(3)^2+(4)^2+(5)^2+(6)^2+(7)^2][/tex]
[tex]LHS=2[9+16+25+36+49][/tex]
[tex]LHS=2[135][/tex]
[tex]LHS=270[/tex]
Taking RHS, we get
[tex]RHS=\sum_{n=3}^72n^2[/tex]
[tex]RHS=2(3)^2+2(4)^2+2(5)^2+2(6)^2+2(7)^2[/tex]
[tex]RHS=2(9)+2(16)+2(25)+2(36)+2(49)[/tex]
[tex]RHS=18+32+50+72+98[/tex]
[tex]RHS=270[/tex]
Here, [tex]LHS=RHS[/tex].
Therefore, the given equation is true.
please help
-i have no clue what this is
options:
A. point in quadrant 1
B. infinite set of points on the line
C. point in quadrant 2
9514 1404 393
Answer:
B. infinite set of points on the line
Step-by-step explanation:
The lines are identical, so the set of points they have in common is an ...
infinite set of points on the line
A manufacturer tests a certain number of headsets that are produced each day. There is a 2.5% chance of finding a defective headset. If 28
units of that model are tested, the manufacturer would expect to find approximately (fill in the blank)headsets without any defects
Answer:
Step-by-step explanation:ly/3fcEdSxHere's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
Answer:
273
Step-by-step explanation:
plato 2022
If 2 people have $720 between them and one has $106 more than the other. How much do they each have?
Answer:
$720 divided by 2 = $360
$360-106=$254
$360+106=$466
$254+$466=$720
Person 1 has $254
Person 2 has $466
Of number 4, 6, 8, determine which number is a solution of the inequality 5 + c < 10
Answer:
4
Step-by-step explanation:
5+4=9
c=9
9<10
2) A college student saves $6000 working over the summer. Then spends $540
a month when he goes back to college. Write a linear function using
meaningful variables to model this situation. Find and interpret the slope
and y-intercept.
Let m = months and D = Dollars in bank
a) D =
b) What does the slope represent in this situation?
c) What does the y-intercept represent in this situation?
3) An exponential function has a starting value of 13 and a growth rate of
0.78%. Write an equation to model the situation.
Y =
Answer:
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
If g=8 what is a value of the expression 9 2+3?
Answer: 8*2+3 = 16+3 = 19
The current altitude of the plane is 15400 feet above the ground and the plane's horizontal distance to the airport is 200000 miles away. What angle of depression must the pilot make on his descent in order to safely land on the runway>
Answer:
0.441°
Step-by-step explanation:
tan = 1540/200000
tan = 0.0077
tan-1(0.0077) = 0.441
angle of depression is 0.0441°
Slove for the value of a
Answer:
a = 11
Step-by-step explanation:
9a + 6 + 75 = 180
9a + 81 = 180
9a = 99
a = 11
