Answers
Answer:
See image
Step-by-step explanation:
For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)
In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.
Related Questions
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Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answers
Answer:
-8
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]
[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]
[tex]9-1=8[/tex]
[tex]4-5=-1[/tex]
[tex]= -8[/tex]
Hope this helps.
1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each box.
Answers
Answer: $14.5
Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage
Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.
Answers
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
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Please solve this problem please ASAP !
Answers
Plxzzz plzzzzzznhelp meeee
Answers
Answer: A. An infinite number of diameters can be drawn in a circle.
Step-by-step explanation:
There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.
I got it from Goog|e, I hope it helps.
Answer:
"Only a limited number of radii can be drawn in a circle"
Step-by-step explanation:
A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.
Can someone please help me with this easy math problem?
Answers
Answer: 644.4 sq cm
Step-by-step explanation:
First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54
A.)8.5*2.54=21.59 centimeters
B.)11.75*2.54=29.845
C.)Now to find the Area we multiply the two
21.59*29.845=644.35355
Which we an round do 644.4
Help help math math
Answers
Answer:
32
Step-by-step explanation:
hope this helps :)
Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?
Answers
Answer:
120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
928.9 cm3
1,497.9 cm3
2,663 cm3
665.7 cm3
Answers
Answer:
3 you welcome
Step-by-step explanation:
Answer:
2,663 cm3
Step-by-step explanation:
m is a positive integer and n is a negative integer. Which of these is always positive?
(picture posted below)
A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Cannot say
S ANSWER ASAP!! ILL MARK U BRAINLIEST!!!♡♡♡
Answers
Answer:
n
Step-by-step explanation:
it's simple mathematics that's the way it is
Help please!!
Question in picture!
Answers
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
If [tex]f(x-1)=2x+3[/tex] for all values of x, what is the value of [tex]f(-3)[/tex]
Answers
[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]
Think about the value f(x-1) and f(-3).f(-3) can be written in the form of f(x-1) .How?
[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]
As -3=-2-1Let's find x then
[tex]\\ \sf\Rrightarrow x-1=-3[/tex]
[tex]\\ \sf\Rrightarrow x=-3+1[/tex]
[tex]\\ \sf\Rrightarrow x=-2[/tex]
Now Substitute it in the function[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-1[/tex]
How to factor 10n^2 +n -3
and 2d^2=8de+6e^2
Answers
Answer:
(5+-1) (2+2
Step-by-step explanation:
Hurry !!!A typical barrel of bot-oil contains 70 liters of oil. If a hole in the barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answers
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
I need to know how to get the roots for example what is the root of 2 root 5
Answers
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation:
The value of the root of 2√5 is approximately 2.116.
Here, we have,
To find the root of a number, you can use the concept of radicals.
The "root" refers to the inverse operation of raising a number to a power. For example, the square root (√) is the most common root, and it represents finding a number that, when squared, gives the original number.
To find the root of a number, such as the square root (√), you can use the following notation:
√(2 * √(5))
In this case, we have the square root of (2 times the square root of 5).
To simplify this expression further, we can break it down step by step:
Step 1: Simplify the square root of 5:
√(5) = 2.236 (approximately)
Step 2: Substitute the simplified value back into the original expression:
√(2 * 2.236)
Step 3: Simplify the expression:
√(4.472) = 2.116 (approximately)
Therefore, the root of 2√5 is approximately 2.116.
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need help
a rectangular garden is 50m long and 45 m broad A path 2m wide is. running inside the garden . Calculate the cost of gravelling the path at rs 40 per square meter.....
Answers
Answer:
Rs. 14560
Hope you could get an idea from here.
Doubt clarification - use comment section.
In rectangle ABCD
L=50mB=45m[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]
[tex]\\ \sf{:}\longrightarrow Area=50(45)[/tex]
[tex]\\ \sf{:}\longrightarrow Area=2250m^2[/tex]
In rectangle PQRS
L=50-2=48mB=45-2=43m[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]
[tex]\\ \sf{:}\longrightarrow Area=48(43)[/tex]
[tex]\\ \sf{:}\longrightarrow Area=2064m^2[/tex]
Now
[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=Area_{(ABCD)}-Area_{(PQRS)}[/tex]
[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=2250-2064=186m^2[/tex]
Cost:-
[tex]\\ \sf{:}\longrightarrow 186(40)[/tex]
[tex]\\ \sf{:}\longrightarrow Rs 7440[/tex]
Simplify this expression
4X^2y^3 x 2x^3y^4
Answers
Answer:
8^5^7
Step-by-step explanation:
Multiply the numbers:
4X^2 y^3 x 2x^3 y^4
8^2 ^3 ^3 ^4
Combine Exponents:
8^2 ^3 ^3 ^4
8^5 ^3 ^4
8^5 ^3 ^4
8^5 ^7
Don’t understand this anyone help I will give Brainyest thing
Answers
Answer:
11.8 meters
Step-by-step explanation:
The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.
The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.
(?)² + 34² = 36²
(?)² + 1156 = 1296 . . . evaluate the squares
(?)² = 140 . . . . . . . . . . subtract 1156 from both sides
(?) = √140 . . . . . . . . . take the square root
(?) ≈ 11.8 . . . meters
The length of the shadow is about 11.8 meters.
th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answers
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?
A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these
Answers
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.Reasons:
The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]
Where;
[tex]\hat y[/tex] = Final exam score;
[tex]\hat x[/tex] = The midterm score;
AJ score in the first test, [tex]\hat x[/tex] = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3
The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
E. None of theseLearn more about regression line equation here:
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Help me pleas asap and pleas show your work
Answers
Answer:
9/10
Step-by-step explanation:
Convert: 3/5 * 6/5=18/25
Simplify and Round it towards 9/10
If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answers
Answer:
mom will let you know
Step-by-step explanation:
shes gone
Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.
Answers
Given to us:
[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]
Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.
(a)
[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(b)
[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
(c)
[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(d)
[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(e)
[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
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the picture i need help with this answer. the problem is in the picture
Answers
Answer:
Step-by-step explanation:
Evaluate the numerical expression. (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Please Help!
Thank You!
Answers
=500/23+3
=500/26
=19.23
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answers
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
Find the sum.
(7y+7)+(3m−3)+(8x+8)
Thanks!
Answers
if any doubt leave a comment
my Christmas present to you
Answers
Answer:
ty
Step-by-step explanation:
Evaluate the determinate:
I -6 -6 1 I
I 3 -5 -2 I
I 4 3 -3 I
Please show all work, I give Brainliest.! :)
Answers
Answer:
103
Step-by-step explanation:
detailed explanation is in the diagram above
I need help please explain your work for number 7 only
Answers
Answer:
Transitive property
Step-by-step explanation:
When a=c and b=c, a=b
A would be 16+43
B would be 59
C would be 10+49