Answers
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
Related Questions
Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?
Answers
We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.
We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.
[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]
[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]
[tex]\text{Actual distance}=675\text{ miles}[/tex]
Therefore, the actual distance from Pensacola to Miami is 675 miles.
need help quick plz
Answers
Write the number in standard form. 6.45×10^−4
Answers
Answer:
.000645
Step-by-step explanation:
.0006.45
move the decimal place 4 places to the Left because it is a negative.
Can Someone Please Help Me?
Answers
Answer:
for the first question-
C is the correct answer
for the second one-
B is the correct answer
I hope this helped :)
You flip a coin 50 times and get tails 20 times. What is the experimental probability of getting tails?
Answers
Answer: the answer is 2/5 :)
The experimental probability is the probability that an event will occur based on something you found, in an experiment, etc. In this problem, you found that out of 50 times, you got tails 20 times. Therefore, the experimental probability would be 20/50, or 2/5 = 0.40 simplified.
Hope this helps! :)
The length of a planet's orbit around a star is approximately 16,540,000 km.
It takes the planet about 710 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf? ANSWER PLS 15 POINT UP FOR GRABS
Answers
Answer:
971 km/h
Step-by-step explanation:
The length of a planet's orbit around a star is approximately 16,540,000 km and it takes the planet about 710 Earth days to complete a full orbit.
Average speed is given as total distance traveled divided by time taken. That is:
S = D / t
Where t is in hours.
We have to convert 710 days to hours:
1 day = 24 hrs
710 days = 710 * 24 = 17040 hours
Therefore, the planet's speed is:
S = 16540000 / 17040 = 971 km/h (to 3 sf)
Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answers
Answer:
roy is in the same quadrant
Step-by-step explanation:
↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵
Answer:
roy
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 4) and (0,–2)?
Write your answer in simplest form.
Answers
Answer:
Slope = 1/2
Whole equation: y = 1/2x - 2
Step-by-step explanation:
Equation: y = mx + b
(3 , 4) and (0 , -2)
[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]
y = 1/2x + b
---------------------------------------------------------------------------------------------
-2 = 1/2(0) + b
-2 = b
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answers
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
In January, the depth of a lakeksas 1,053 feet. In August, the depth of the lake was 737.1 feet. What is the percentage decrease of
the depth of the lake from January to August?
OA. 43%
OB. 30%
OC. 36%
OD. 70%
Answers
Answer:
Your answer would be B. [tex]30[/tex]%
Step-by-step explanation:
To figure out the decrease, you would first subtract the two numbers.
[tex]1053 - 737.1 = 315.9[/tex]
Next, you would multiply the number by [tex]1053[/tex].
[tex]\frac{315.9}{1053} = .3[/tex]
Then, you would multiply that by [tex]100[/tex].
[tex].3 * 100 = 30[/tex]
The answer would be [tex]30[/tex]%.
[tex]1053 * .3 = 315.9[/tex]
[tex]1053-315.9 = 737.1[/tex]
The regular hexagon has a radius of 4 in.
What is the approximate area of the hexagon?
O 24 in.2
0 42 in.2
048 in 2
084 in 2
4 in
Answers
Answer:
42
Step-by-step explanation:
A=33
2a2=3·3
2·42≈41.56922
Answer:
42
Step-by-step explanation:
In the 30-60-90 triangle below, side s has a length of __and side q has a
length of
Answers
Answer:
Step-by-step explanation:
We are given a 30-60-90 triangle, where the length of the hypotenuse is 10 units. We are to find the length of sides s and q. Therefore, s = 5 units and q = 5√3 units. In the given 30-60-90 triangle, side s has a length of 5 units and side q has a length of 5√3 units.
Identify the x and y intercept.
A. x intercept: (2,0) y intercept: (0,-3)
B. x intercept: (-3,0) y intercept: (0,2)
C. x intercept: (2-3) y intercept: (2,-3)
D. x intercept: (2,-3) y intercept: (-3,2)
Answers
Answer:
Bro write the question better
Step-by-step explanation:
will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?
Answers
Answer: She did not use the factors in correct order therefore she is inncorrects
Step-by-step explanation: I got it right on edge
Answer:
Sari did not use the greatest common factor in the equation.
Step-by-step explanation:
why is 6 1/2 equal to the square root of 6
Answers
As both of the values are equal to each other.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number.
Here, given that,
6^(1/2) and √6
Now, we know that both have same value.
6^(1/2)=√6 ≈2.45
Hence, they are equal.
To learn more on square root click:
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please help me
f(x) =3x^2 + 2x - 1
what is f(5)
Answers
Answer:
17
Step-by-step explanation:
f(5)=3(5)+2. f(5)=17
Answer:
f(5) = 84Step-by-step explanation:
f(x) =3x^2 + 2x - 1
what is f(5)
f(5) = 3(5)² + 2(5) - 1
f(5) = 75 + 10 - 1
f(5) = 84
Helppppp
Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 29 pieces of the fabric?
Answers
Answer:
Leia can cut 108 patches from 27 pieces of fabric.
Step-by-step explanation:
A dice was rolled five times and the following were rolled: 1, 3, 3, 4, 4
Based on this information, find the experimental P(1).
Answers
Answer:
1/5
Step-by-step explanation:
the 5 is the total number of times he tried
the 1 is how many times he rolled a 1
Harold walked 4 miles in 51 minutes. How long did it take to walk one mile?
Answers
Answer:
12 minut 15 seconds
Step-by-step explanation:
51 minutes= 51*60=3060 seconds
3060 second :4 miles=765 seconds
Harold walked 1 miles in 12 minut 15 second
help please!!!!!!!!!!!!!
Answers
Answer:
4: <5= 115°
5: <2= 115°
6: <6= 115°
10: <1= 30°
11: <4= 30°
12: <6= 150°
Step-by-step explanation: Hope this helped
Jimmy is in New York City to see a Drake concert. He needs to get
from his Airbnb to the concert venue, so he decides to take a cab.
The cab charges a $3 boarding fee in addition to charging $0.50
per mile traveled. Jimmy gave the driver a $2 tip and paid $10.
How far away was the concert venue?
Answers
Answer:
16
Step-by-step explanation:
y= .5x+3
10=.5x+2
What is the volume of the figure above if a = 4 units and b = 7 units?
Answers
Answer: [tex]176units^3[/tex]
Step-by-step explanation:
We have a composite figure. Find the volume of each figure individually and then add them.
Cube.
[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]
Rectangular prism.
[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]
-----------------------------------------------------
[tex]112units^3+64units^3=176units^3[/tex]
The volume of the figure is 176 cubic units.
What is the volume of the cube?The volume of a cube is given by;
[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]
The volume of the figure above if a = 4 units and b = 7 units.
The volume of a cube is;
[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]
The volume of a rectangular prism is;
[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]
The volume of the figure = Volume of cube + Volume of a rectangular prism
The volume of the figure = 64 + 112
The volume of the figure = 176
Hence, the volume of the figure is 176 cubic units.
Learn more about volume here;
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Need help asap
Find the volume of a rectangular pyramid. Length measures 16 meters, width measures 24 meters, height measures 20 meters
Answers
Answer:
7680
Step-by-step explanation:
16(24)20
7680
V = 2,560 m^3
Step-by-step explanation:
The formula for the volume of a pyramid is...
[tex]V=\frac{1}{3}Bh[/tex]
B is the area of the base, which in this case is a rectangle. We need to find the area of the rectangle to plug in for B.
The formula for the area of a rectangle is...
[tex]l*w[/tex]
We can plug in the numbers.
[tex]16*24[/tex]
= 384
Now that we have B, we can plug that into the volume formula along with the height.
[tex]V=\frac{1}{3}(384*20)[/tex]
[tex]V=\frac{1}{3}*7,680[/tex]
V = 2,560 m^3
Which of the following is true of the data set represented by the box plot? (2 points)
box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15
Group of answer choices
a.) The data contains at least one outlier.
b.) The mean and median are most likely the same or very close.
c.) The data is skewed to the right.
d.) The median is 11.
Answers
Answer:
b
Step-by-step explanation:
Find the 13th term in the following
arithmetic sequence :
2, 10, 18, 26, ...
Answers
Answer:
98
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 10-2 =8
a1 = 2
an = a1+d(n-1)
an = 2+8(n-1)
we want the 13th term
a13 = 2 +8(13-1)
=2+ 8*12
= 2+96
= 98
Write a number b increased by 3 as an expression.
Answers
Answer:
b+3
Step-by-step explanation:
The variable is "b", and increased is adding (+).
~Anna
Answer:
F(b)=b+3
Step-by-step explanation:
What is the percent increase when 7 200 increases by 1.800?
20 percent
25 percent
54 percent
80 percent
Answers
The increase is 25%
Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.
How much money does Max have on April 30th after he buys the snack?
Answers
Explanation: -300 + 15 - 29.80 - 4.57
Choose the function to match the graph.
f(x) = log x + 2
f(x) = log x - 2
f(x) = log (x + 2)
f(x) = log (x - 2)
Answers
Answer:
C; f(x)=log(x+2)
Step-by-step explanation:
(08.06 LC)
Variable b is 7 more than variable c. Variable b is also 1 less than variable c. Which pair of equations best models the relationship between b and c? (1 point)
a
b = c + 7
b = c − 1
b
b = c − 7
b = c + 1
c
c = b + 7
c = b − 1
d
c = b − 7
c = b − 1
Answers
Answer:
First one
Step-by-step explanation:
Variable b is 7 more than variable c:
b = c + 7
Variable b is also 1 less than variable c:
b = c - 1
Answer:
B:
b = c + 7
b = c - 1
Step-by-step explanation:
"Variable b is 7 more than variable c" can be expressed mathematically as
b = c + 7
"Variable b is 1 less than variable c" can be expressed mathematically as
b = c - 1
So the second pair,
b = c + 7
b = c - 1
best models the relationship between b and c
Hope this Helps :)
