The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
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solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
answer should be 4.3
Step-by-step explanation:
8.9^(2)-7.8^(2)
=18.37
\sqrt(18.37)
=4.28602379
and round to the nearest tenths should give you 4.3
a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
The displacement is 18.03 steps, and the direction is 47.25°
How to get the displacement?
We know that displacement is the difference between the final position and the initial position.
We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.
First, the student moves 8 steps east, so she is at:
(0 + 8, 0)
Then she moves 6 steps northeast, so the new position is:
(6*cos(45°) + 8, 6*cos(45°))
Finally, she moves 9 steps due north, so we have:
(6*cos(45°) + 8, 6*cos(45°) + 9)
Then the final position is:
(12.24, 13.24)
So the displacement is:
D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)
The magnitude of the displacement is:
[tex]|D| = \sqrt{12.24^2 + 13.24^2} = 18.03[/tex]
So the magnitude is 18.03 steps.
And the direction is given by the arctangent of the quotient between the y-component and the x-component:
[tex]\theta = Arctg(13.24/12.24) = 47.25 \°[/tex]
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The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the AREAS of the two rectangles? A) The area of the new rectangle is twice that of the original rectangle. B) The area of the new rectangle is one-half that of the original rectangle. C) The area of the new rectangle is four times that of the original rectangle. D) The area of the new rectangle is eight times that of the original rectangle.
Answer:
Step-by-step explanation:
Givens
L = 5
w = 3
Formula
Area = L*w
Solution
Area = 3 * 5
Area = 15
Now double both the width and the Length.
New Length = 2*5 = 10
New Width = 2 * 3 = 6
Area = New Length * New Width
Area = 10 * 6
Area = 60
Answer (look at the choices)
The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A
The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B
C is the answer
D is you multiply 8 * 15, do you get 60? No so the answer is not D
Please help need done by the next hour! Will mark Brainliest
Answer:
you did not even show the answer
Step-by-step explanation:
you have to post it lol;)
You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.
Answer:
You each will pay $40.35
Step-by-step explanation:
First you take the total $134.50 and divide it by 4 which is you and your three friends.
This will give you 33.625 which is the amount each of you will pay without tip.
To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.
Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.
The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.
Hope this helped.
6 erasers cost $6.60.
Which equation would help determine the cost of 3
erasers?
Answer:
answer is a
Step-by-step explanation:
u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30
An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?
Answer:
70 offices
Step-by-step explanation:
21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices
if mJK=(7x-39) and mML=87, find x
Answer:
https://brainly.com/question/9016553
Step-by-step explanation:
You can see the answers from the exact same question. In the link I pasted.
Not my answer but hope this helps
stuck on these two questions.. finding the indicated limit
Answer:
1: The limit doesn't exist
2:
Step-by-step explanation:
Question 1:
f(x) = x + 10 for when x approaches 8
18 = 8 + 10 which is NOT true x < 8 18 < 8
f(x) = 10 - x for when x approaches 8
2 = 10 - 8 which is NOT true x ≥ 8 2 ≥ 8
Question 2:
f(x) = 5 - x for when x approaches 5
0 = 5 - 5 which is TRUE x < 5 0 < 5
f(x) = 8 for when x approaches 5
which is NOT x = 5 8 = 5
f(x) = x + 3 for when x approaches 5
8 = 5 + 3 which is TRUE x > 5 8 > 5
PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's use slope - point form of line to get the required equation ~
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
where,
m = slope of the line ( given in question )[tex] \sf{y_1 = 6} [/tex][tex] \sf{x_1 = 9} [/tex]Now, let's put in the values ~
[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]
So, the correct choice is A
the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle
Step-by-step explanation:
here's the answer.......
PLEASE HELP !!!!!!!!
Answer:Angle BCE
Step-by-step explanation:
look across from point C
GIVING BRAINLIEST!!!!!
Answer:
7x+2y=18
The first one
Step-by-step explanation:
The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
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Answer:
It's C
Step-by-step explanation:
Does anybody know this? Find the value of y and z
Answer:
z = 70 (Since it is a straight angle)
y = 110 (y = 180 - z)
Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)
Intercept of a lineThe y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.
Given the equation of a line f(x) = 3x +2
If x = 0, them;
f(0) = 3(0) + 2
f(0) = 2
Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)
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Answer:
answer is (0, 9)
Step-by-step explanation:
did the test. plato.
ur welcome buddy
Equivalent fractions for 6/11 and 5/12 using the common denominator
well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.
Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?
1.1 solve for x, where 0°< x 90°. write your answer to one decimal place. 1.1.1 tanx=sin38° 1.1.2cosec( x+10°)=1.345
The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
How to solve the trigonometry ratios?The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
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PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?
Answer:
9/19 or 47.4% (nearest tenth)
Step-by-step explanation:
A roulette wheel is numbered 1 to 36 with 0 and 00.
Therefore, there is a total of 38 evenly-spaced pockets.
The number of odd numbers from 1 to 36 is 18
(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]
Roulette wheel contains 1 to 36 numbers excluding 0 and 00
Total nos =38Total odd nos
{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}
Total=18Probability
18/389/19[tex]12\frac{1}{2}[/tex]% as a simple fraction is:
a)[tex]\frac{12}{100}[/tex]
b)[tex]\frac{1}{8}[/tex]
c)[tex]\frac{3}{25}[/tex]
d) 0.125
e) 12.5
Answer:
E. 12.5
Step-by-step explanation:
[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]
Answer:
B
Step-by-step explanation:
25/2 = 12.5
so, 12.5 /100
= 1/8
Therefore b is the correcrt answer
solve (-24) ÷ -6 + 10 and explain
so the answer is 4
how to get the answer
[tex](-24)[/tex] ÷ [tex]-6+10[/tex]
take the last part
[tex]-6+10[/tex]
and you would solve that
it would be 4
A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production
Answer:
D
Step-by-step explanation:
It makes the most sense
Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.
What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.
What is the correlation between variables?Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.
Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values of the other will decrease.
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i would really appreciate some help with this question, thank you!
if A(4,5), B(6,8), then vec AB is .......
answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)
Answer:
A is the answer to the question
Step-by-step explanation:
4*6=24
5*8=40
The area of a DVD is 36π cm. What is the diameter of the DVD?
Answer:
12 cm
Step-by-step explanation:
shape of DVD is circle
Area of circle = 36π
πr² = 36π
r² = 36
r = √36
r = 6
Diameter (d) = 2r = 2(6) = 12cm
Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?
Answer:
45. 20
46. 30
47. 60
Step-by-step explanation:
Let :
Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3xSolving
x + 1.5x + 3x = 1105.5x = 110x = 20Solution
Badia = 20Charli = 30Siva = 60Answer:
Badia made 20 nails
Charli made 30 nails
Siva made 60 nails
Step-by-step explanation:
Let b = number of nails Badia made
Let c = number of nails Charli made
Let s = number of nails Siva made
Given:
Charli made one and half times as many as Badia⇒ Equation 1: c = 1.5b
Given:
Siva made twice as many as Charli⇒ Equation 2: s = 2c
Given:
They all made a total of 110 nails⇒ Equation 3: b + c + s = 110
Substitute Equation 1 into Equation 2:
⇒ s = 2(1.5b) = 3b
Substitute s = 3b and Equation 1 into Equation 3 and solve for b:
⇒ b + c + s = 110
⇒ b + 1.5b + 3b = 110
⇒ 5.5b = 110
⇒ b = 20
Substitute found value of b into Equation 1 and solve for c:
⇒ c = 1.5b
⇒ c = 1.5(20)
⇒ c = 30
Substitute found value of c into Equation 2 and solve for s:
⇒ s = 2c
⇒ s = 2(30)
⇒ s = 60
Therefore:
Badia made 20 nailsCharli made 30 nailsSiva made 60 nailsSolve for x.
X=
x +19 7x +9
Step-by-step explanation:
X+7x=9-19
8x=-10
X=-10÷8
X=1.25
You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)
The length of the fence which needs to be put around the pool will be 26 feet.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
You are the manager of the town pool.
You need to build a fence around the new children's pool area.
The pool is 5 feet wide by 8 feet long.
You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.
Then the length of the fence which needs to be put around the pool will be
P = 2 (5 + 8)
P = 2 x 13
P = 26 ft
Then the length of the fence which needs to be put around the pool will be 26 feet.
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i can not figure this question out someone help pls.
Answer:
228,5
Step-by-step explanation:
a=10
b=15
The area of rectangle:
S=a*b
S=10*15
S=150
The area of 2 halfcircles (1 circle):
d=10
r=d:2
r=5
S=πr²
S=3,14*5²
S=3,14*25
S=78,5
The area of the figure:
78,5+150=228,5
