. Given that O is the centre of the following circle, find the values of the unknowns.
Answers
Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²
[tex]a^{2} + 5^{2} = 13^{2}[/tex]
[tex]a^{2} + 25 = 169[/tex]
[tex]a^{2} = 169 - 25[/tex]
[tex]a^{2} = 144[/tex]
[tex]\sqrt{a^{2}}=\sqrt{144}[/tex]
[tex]a = 12[/tex]
Now to find the value of 'b', i will use law of cosine,
[tex]c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }[/tex]
[tex]12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38[/tex]
Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
Happy to help :)
If u need any help feel free to ask
Related Questions
if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?
Answers
Answer:
It's going to take you 17 min to travel 12 miles
assuming you are going with mph
Step-by-step explanation:
I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.
Find an explicit rule for the nth term of the arithmetic sequence.
-9, -4, 1, 6, ...
Answers
Answer:
hope it's helpful
Step-by-step explanation:
glad to help
Help this needs to be answered
Answers
The equation of the linear function in slope-intercept form is [tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of a linear function can be written in the slope intercept form as:
f(x) = mx + b,
where,
m represents the slope of the linear function
b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)
we need to find the value of m and b to be able to write the equation of the linear function.
Find slope (m):
From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).
Slope (m) = rise/run
Substitute:
Slope (m) = 3/6
m = 1/2
Find the y-intercept (b):
From the graph, the line cuts the y-axis at y = -5.
Therefore,
b = -5
Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:
[tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]
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Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.
Answers
Answer:
There's no chart below
Step-by-step explanation:
Answer:
6.2 coins he will have
Step-by-step explanation:
its the anwser on han i go it wrong :( the first time and 12 was the anwser!
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answers
Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A
Answers
Answer: A) 1
Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1Tommy stands on a diving bored that is 4 feet above the pool’s surface. He dives and touches the bottom of the pool, which is 12 feet below the pool’s surface. What is the total length of Tommy’s dive?
Answers
Answer:t below the pool’s surface. What is the total length of Tommy’s dive?
7 feet
Step-by-step explanation:
16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15
Answers
Answer:
the fourth option : 5x - 3y = 15
Step-by-step explanation:
the slope of the original line is given by the coordinate differences between the 2 points on the line.
remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.
so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.
therefore, the slope is -3/5.
the slope of a perpendicular line simply switched x and y. and the sign of the slope.
therefore the slope of the perpendicular line is 5/3.
and the line equation is
y = (5/3)x + c
to get c we need the point on the line (3, 0).
0 = (5/3)×3 + c = 5 + c
c = -5
y = (5/3)x - 5
3y = 5x - 15
3y - 5x = -15 or (after multiplying both sides by -1)
5x - 3y = 15
Determine the value of y, if x is -5.
y = |x| – 6
Answers
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.
the measure of the angle is twenty-nine times greater than its supplement
Answers
30x= 180
One angle is 6 the other is 174
Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon.
Which customer is the first to receive both coupons?
Answers
Answer:
the 45th customer.
Step-by-step explanation:
9•1= 9 9•2=18 9•3=27 9•4=36 9•5=45
5 doesn't go into any other number except for 45.
The first customer to receive both a free bagel coupon and a free drink coupon is the 45th customer.
To find the first customer who receives both coupons (a free bagel coupon and a free drink coupon), we need to determine the least common multiple (LCM) of 5 and 9, which represents the point at which both coupon distributions coincide.
The LCM of 5 and 9 is 45.
This means that the first customer to receive both coupons will be the 45th customer. On the 45th customer, both the 5th customer and the 9th customer coincide, so this customer will receive both a free bagel coupon and a free drink coupon.
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The step function g(x) is defined as shown.
-3, X < 0
g(x) = 2 0 < x < 4
5, 4 < x < 10
What is the range of g(x)?
0 -3 = g(x) 5
Os g(x) = 10
O {-3, 2, 5)
{0, 4, 10}
Answers
The 3rd option is correct.
The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answers
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
evaluate 7-3s for s= -3
Answers
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
hannah has $345 in her savings account she wants to icrease that number by 20%
Answers
Answer:
345 × 20%
= $69 (20% increase)
345 +69
= $414 (final amount with 20% increase)
I need help, can someone help me. please
Answers
Answer:
y = - 1/3x
Step-by-step explanation:
So the equation of a line can be written in the form y= mx+ c
Here y is the value of y in the y axis, x is the value of x in the x axis, m is the gradient ad c is the co-efficient.
We need to find the gradient of the line which is - 1/3.
That makes our equation y = - 1/3x
HOPE THIS HELPED
the question is in the picture
Answers
Answer:
∠CBA
Step-by-step explanation:
Answer:
<CBA
Step-by-step explanation:
The vertex has to be in the middle
<CBA
<ABC
or we can name it with just the vertex
<B
What are the solutions to the equation f(x)=g(x)?
A) x= -3, 4
B) x= -4, 2.5
C) x= -0.8, 2.5
D) x= 8, -8
Answers
Answer:
B
Step-by-step explanation:
The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)
Answer:
(-4,8) and ( 2.5, -8)
Step-by-step explanation:
The solutions are where the two graphs intersect
They intersect at x = -4 and y = 8 and at x = 2.5 and y = -8
(-4,8) and ( 2.5, -8)
find the missing side lengths
Answers
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
Answer:
x= 4 square root 3 y=4
Step-by-step explanation:
Its 30 60 90 triangle
Hope this helps <3
11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150
Answers
Answer:
Price elasticity of demand = 1
Step-by-step explanation:
Old quantity demanded = 200
New quantity demanded = 150
Old price = 8
New price = 10
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in quantity demanded = change in quantity demand / old demand × 100
= 50/200 × 100
= 0.25 × 100
= 25%
percentage change in price = change in price / old price × 100
= 2/8 × 100
= 0.25 × 100
= 25%
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
= 25% / 25%
= 1
Price elasticity of demand = 1
Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus
Answers
Answer: The answer is Neptune ^-^
Step-by-step explanation:
Got it correct on the test :]
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 8 people took the trip. She was able to purchase coach tickets for $300 and first-class tickets for $1060. She used her total budget for airfare for the trip, which was $6960. How many first-class tickets did she buy?
How many coach tickets did she buy?
number of first-class tickets bought nothing number of coach tickets bought nothing
Answers
Answer:
She bought 6 first class tickets and 1 coach ticket
Step-by-step explanation:
1060(6)= 6360 and 6960-6360=300 and 300 is the price for a coach ticket.
according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8
Answers
Answer:
Hello,
Step-by-step explanation:
all potential roots are of the form a/b where a is a divisor of 8
and b is a divisor of 6 ( in Z)
So A,D,E,F may be roots
but B and C not.
It's estimated that 330 billion photographs are taken each year. If there are 6.9
billion people in the world, how many photos on average is that per person?
Answers
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answers
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
what is 5cd
when c = 3
and d = 4
Answers
Answer:
60
Step-by-step explanation:
5*3*4
Order each set of numbers from least to greatest
1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex]
Answers
Answer:
41/3, 14, square root of 200
Step-by-step explanation:
41/3 = 13.66
14 is just 14
and square root of 200 is 14.14
PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
10fx
9
8+
7
6
5
4.
3
2+
1
1 2 3 4 5 6 7 8 9 X
Answers
Option A
Must click thanks and mark brainliest
Sorry if i am wrong
Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1.
wrong answers = reported
ty<3
Answers
Answer:
y = 2 x^2 - 4 x + 1
parábola
Step-by-step explanation:
The difference of two numbers is 12. If the greater number is three times the smaller one, find the numbers.
Answers
Answer:
Let the two numbers be X
The great number is X and the smaller number is 3X
X=3X
X-3X=12
-2X=12
X=12/-2
X=-6
The other number =3*6=18
2 numbers to find are a and b
We have: a - b = 12; a = 3b
=> a = 18; b = 6
