The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In the image attached below:
Angle C is inscribed in circle O. AB is a diameter of circle O.The measure of the angle A is,
[tex]m\angle A=71^o[/tex]
The measure of the angle C in a semicircle is,
[tex]m\angle C=90^o[/tex]
The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,
[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]
Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
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If Maggie invests 16,250 at a rate of 4.9%, compounded monthly, find the value of the investment after 7 years.
Answer:
$22,883
Step-by-step explanation:
Principal Amount ( P ) = $16250
Interest Rate ( r ) = 4.9% or 0.049( divide by 100)
Term ( t ) = 7
Compounded monthly( n ) = 12
Formula for Compound Interest:
A = P ( 1 + r/n)^nt
A = Future value
Solution:
Substitute the given values of P, r, n and t to the formula for the compound interest.
A = $16250 ( 1 + 0.049/12)^(7)(12)
A = $16250 ( 1.004083333)^(84)
A = $16250 ( 1.408184955 )
A = $22,883
what's the graph of y=3x-5
Answer:
Step-by-step explanation:
6. The circular floor carpet has an area of 484π in? What is the radius of the floor carpet?
Please help me please help me
GIVING BEAINLIESTTTTTTT!!!!!!!!!Find the measure of
Answer:
134°Step-by-step explanation:
Angles 1 and 3 form a linear pair so they sum to 180°.
m∠1 + m∠3 = 180°Substitute the values and solve for x
8x + 6 + 2x + 14 = 18010x + 20 = 18010x = 160x = 16Find the measure of ∠1
m∠1 = 8*16 + 6 = 134Find the surface area of a basketball with a diameter of 24 cm. Answers are in terms of pi.
if it has a diameter of 24, then its radius must be half that, or 12.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]
Luca shows his work in finding the solution to 2−6=5−5(−1)
. After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?
PLS HELP eixosixosdkkzk
The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
What is the formula of sum of sin (a+b)?The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.
The formula of sum of sin (a+b),
Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)
Here, (A and B) are the measure of angles.
The trigonometry equation given in the problem is,
(sin 60)(cos 30)+(cos 60)(sin 30)
Compare this expression with the above formula we get,
A=60
B=30
Thus, the value of the given expression is,
(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)
Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
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what is the area figure in
4 Suppose AABC = AXYZ. Which
coordinates are a possible location
of Z?
у
у
7
7
6
6
5
5
4
3
С
4
3
2
2
Х
Y
1
1
A
B
0 1 2 3 4 5 6
0 1 2 3 4 5 6
J (4,4)
K (4,2)
L (3, 4)
M (3, 3)
M 3,3
Step-by-step explanation:
the coordinates are in the y 3
18. Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
19. Use the information provided to write the equation of each circle.
20. 21. State if the two triangles are congruent. If they are, state how you know.
22. 23. Find the value of each trigonometric ratio.
Answer:
Step-by-step explanation:
Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season? ani was more successful because she had an outlier. marta was more successful because she received the highest score. ani was more successful because she had the greater measure of center. marta was more successful because she had the greater total spread.
The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.
What is a box plot?Box Diagram provides a quick visual summary of the variability of values in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.
In this case, the total spread of Ani is from 4.5 to 9.5 and the total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.
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You know that 3 pencils and 7 pens cost $24, while 3 pencils and 3 pens cost S12.
How many dollars are 4 pencils and 5 pens worth?
Answer:
5 pens = 15$ and 4 pencils = 4$
Step-by-step explanation:
7-3=4, so 4 pens is 12$
12/4 = 3, so 1 pen = 3$
Remove the pens from the equation
7x3=21
24-21=3
3/3=1, so each pencil costs 1$
4 pencils and 5 pens are worth $23.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let the cost of one pencil be x, and the cost of one pen be y.
Then we can set up the following system of equations based on the given information:
3x + 7y = 24 ...(1)
3x + 3y = 12 ...(2)
Solving these two equations, we can find that x = 2 and y = 3.
Now, we can use these values to find the cost of 4 pencils and 5 pens:
4x + 5y = 4(2) + 5(3) = 8 + 15 = $23
Therefore,
4 pencils and 5 pens are worth $23.
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In your opinion, what components of a free market are the most important
A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.
Determine sin(S) and sin(T).
What is muscular endurance
Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.
Step-by-step explanation:
I hope it'll help you...
Answer:
Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.
Step-by-step explanation:
:)
Richard takes a hang gliding lesson. He
lifts off at the top of a hill and glides
downward for the first 5 minutes.
Then he soars at a consistent elevation
for 10 minutes. The last 3 minutes
he glides upward until he lands on a
smaller hill. Sketch a graph of Richard's
gliding lesson over time.
Answer:
it a nice graph I made
Step-by-step explanation:
yeah just click the image
10 times as much as 0.71
Answer:
7.1
Step-by-step explanation:
if we put this into a number sentence it will be 0.71*10 which is 7.1
I will be forever in your debt, ( and a brainiest) if you help me
Answer:
Step-by-step explanation:
12P3 = 12! / (12-3)!
= 12*11*10
= 1320.
8C7 = 8!/7! *(8-7)!
= 8.
Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?
Answer:
[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]
Step-by-step explanation:
Geometry, need help asap please
Answer: 15.01
Step-by-step explanation:
What are the coordinates of the image of (-3, -7) after the translation (x, y) - > (x-9, y + 9)? F (-6, 16) H (12, -2) G (6, -16) J (-12, 2)
The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).
The given coordinate of the point is:- (-3,-7)
So the translation will be calculated as:-
=(x-9,y+9 )
=(-3-9,-7+9
=(-12,2)
Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)
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What is the radius of the circle x² + (y + 9)² = 25?
2
Write you
your ancu
wor in
1:5
Answer:
5
Step-by-step explanation:
→ The radius is square root of the last number which is usually denoted by r² in the format ( x - a )² + ( y - b )² = r²
Question 10
There are boys and girls in a class in the ratio 11 : 16
There are 256 girls.
How many boys are there?
Answer:
There are 176 boys
Step-by-step explanation:
256/16=16
11x16=176
Len has a rectangular wooden deck that measures 14 feet by 25 feet he builds an addition to the deck that makes it 6 feet longer
Answer:
its 90
Step-by-step explanation: multiply it 6 by 14 feet, than add 6.
6*14=84+6=90
Answer:
90
Step-by-step explanation:
trust me
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I "turly" know the answer is 1/3, its quite easy actually
Step-by-step explanation:
Can someone please answer this, ill give you brainliest Would be very appreciated.
Explanation:
f(x) = (x-4)(x+2)
1) For x-intercept, y will be 0
(x-4)(x+2) = 0(x-4) =0, (x+2) = 0x = 4, x = -2x-intercept: (4, 0), (-2, 0)
2) For vertex: x = -b/2a where ax² + bx + c
Quadratic function:
(x-4)(x+2)x² +2x-4x -8x² -2x -8vertex:
x = -(-2)/2(1)x = 1y: (x-4)(x+2) = (1-4)(1+2) = -9
ordered pair of vertex: (1, -9)
3) For y-intercept, x will be 0
(x-4)(x+2)(0-4)(0+2)-8y-intercept: (0, -8)
Answer:
(4, 0) and (-2, 0)(1, -9)(0, -8)Step-by-step explanation:
Q1 : Finding x-intercepts
Take f(x) to be 0, because the intercepts lie on the x-axis0 = (x - 4)(x + 2)x = 4 and x = -2The x-intercepts are : (4, 0) and (-2, 0)Q2
Coordinates of vertex are : (h, k)Expand the polynomialx² - 2x - 8h = -b/2a = 2/2 = 1k = -D/4aD = b² - 4ac = 4 - 4(1)(-8) = 4 + 32 = 36k = -36/4 = -9The vertex is : (1, -9)Q3
Take x = 0y = 0² - 2(0) - 8y = -8y-intercept is : (0, -8)Which inequality represents the given situation? No more than 47 beds are in the hospital.
beds in the hospital > 47
beds in the hospital < 47
beds in the hospital ≤ 47
beds in the hospital ≥ 47
Answer:
beds in the hospital ≤ 47
Step-by-step explanation:
No more 47 means not greater than 47.
But can be = to 47 or less than it.
Help, what do I do here?
Answer:
draw the 2 lines
Step-by-step explanation:
take the first equation, start with X =1 and calculate y , then plot the point. repeat for other X values. join the points up with a ruler you can extent beyond the first and last points
repeat for second equation
where the lines cross is your intersection, the coordinates of this point is the answer.
good luck
I need some help with these please :')
Step-by-step explanation:
problem 1.
1. 6y = 30
2. y = 5
3. 3x + 2(5) = 16
4. 3x+10=16
5. 3x=6
6. x=2
solution: (2,5)
problem 2.
1. x=7
2. 4(2)-2y=18
3. 28-2y=18
4. -2y= -10
5. y=5
solution (7,5)
problem 3
10x=10
x=1
7(1) +y =-2
y=-9
(1,9)
problem 4
0= -6
no solution
problem 5
0=0
Infinite many