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
Ms. Wilmith bought 4 bags of candies. Each bag contained 8 candies. She put an
equal number of these cand es into each of 9 gift boxes
How many candies were left over?
3
4
0
5
Answers
Answer:
Number of candy left = 5
Step-by-step explanation:
Given:
Number of bags = 4
Number of candies in each bag = 8
Number of Gift boxes = 9
Find:
Number of candy left = ?
Computation:
Total number of candies = Number of bags × Number of candies in each bag
Total number of candies = 4 × 8
Total number of candies = 32
According to Euclid division lemma:
a = bq +r
32 = (3)(9) + Remainder
32 = 27 + Remainder
Remainder = 5
Number of candy left = 5
A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.
*PLEASE HELP MEEEEEEEEE*
Answers
Answer:no
Step-by-step explanation:
Bc no
Question 16 (1 point)
A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using the
appropriate decay factor how much should it be worth 10 years after Lisa
purchased it?
Answers
Answer:
After 10 years that Lisa has bought the car, her car will have an approximate value of:
$12388.15Step-by-step explanation:
As you can identify in the exercise, every time a year passes, the value of the car has a decrease of 6% of its value that year, so what you should do is take the initial value of $23,000 and multiply it by 94% (the remaining value of its price), then take this result and multiply it by 94% and so on 10 occasions (since they are ten years of depreciation) as I show you below:
Value after depreciation = 23,000 * 94% = 21,620 Value after depreciation = 21,620 * 94% = 20,322.8 Value after depreciation = 20,322.8 * 94% = 19,103,432 Value after depreciation = 19,103,432 * 94% = 17,957,226 Value after depreciation = 17,957,226 * 94% = 16,879,793 Value after depreciation = 16,879,793 * 94% = 15,867,005 Value after depreciation = 15,867,005 * 94% = 14,914,985 Value after depreciation = 14,914,985 * 94% = 14,020,086 Value after depreciation = 14,020,086 * 94% = 13,178,880 Value after depreciation = 13,178,880 * 94% = 12,388,148Therefore, it would have a value of approximately $12,388.15 after ten years of its purchase.
05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)
Question 1 options:
1)
negative five thirds
2)
negative three fifths
3)
three fifths
4)
five thirds
Answers
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )
- 3y = - 5x + 12 ( divide all terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
Select the equation that represents the graph below.
Answers
Answer:
D)
Step-by-step explanation:
The y intercept is at 3 and it goes up 3 over 2. and since its going up its positive. Remember rise over run.
Answer:
D
Step-by-step explanation:
Slope: 3/2
y-intercept:3
x,y
0,3
2,6
What is the surface area, in square inches, of the
sphere shown below? (SA = 4.0) (pi ≈ 1 3.14)
а. 530.7 sq in.
b. 2122.6 sq in.
с. 4245.3 sq in.
d. 9203 sq in.
Answers
Answer:
hey if you still need the i have them all just finished the test
Step-by-step explanation:
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answers
Answer:
30 cm³
Step-by-step explanation:
Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.
Volume of cone = ⅓ × 90 = 30 cm³
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answers
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Which of these expressions is equivalent to log(25 • 18)?
A. log(25) – log(18)
B. log(25) + log(18)
C. 25. log(18)
D. log(25) .log(18)
SUBMIT
Answers
Answer: B. log(25) + log(18)
Step-by-step explanation:
Use the rule for the sum of logs: the log of a product is the sum of the logs, which means log(x) + log(y) = log(xy) if they have the same base.
[tex] log(25 \times 18) \\ by \: \: \: using \: \: \: the \: \: \: following \: \: \: rule \: \: \: of \: \: \: logarithm \\ log(x \times y) = log(x) + log(y) \: \: \: \: we \: \: \: have \\ log(25) + log(18) [/tex]
Answer:B. log (25) + log (18)
Hope it helps.
Do comment if you have any query.
Need help with this
Answers
Answer:
5 to the power of -2
Step by Step explanation:
Because you are diving, you need to subtract the powers.
For example, you subtract 10 from 12 to get -2
The 5 remains the same so the answer should be 5 to the power of -2
Hope this helps
The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be sure to use this format: whole number numerator/denominator.
Answers
Answer:
120 [tex]\frac{13}{18}[/tex]
Step-by-step explanation:
The formula for finding the volume of a prism is:
V = Bh
You have to convert 13 [tex]\frac{2}{3}[/tex] into an improper fraction, like so:
[tex]\frac{41}{3}[/tex]
Convert the other:
[tex]\frac{53}{6}[/tex]
Multiply:
[tex]\frac{41}{3}[/tex] · [tex]\frac{53}{6}[/tex] = [tex]\frac{2173}{18}[/tex]
Convert to mixed fraction:
120 [tex]\frac{13}{18}[/tex]
What is the product of the binomials below?
(5x + 2)(4x +4)
Answers
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.
Answers
Answer: Bro write the question better
Step-by-step explanation:
evaluate the following f(-2)=2x-7
Answers
Answer:
-11
Step-by-step explanation:
f(x)=2x-7
Let x = -2
f(-2)=2(-2)-7
= -4 -7
= -11
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answers
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
20 points! I need the answer ASAP! Thanks!
Answers
Answer: y=5/7x+2
Step-by-step explanation:
The y- intercept would be 2 since that is where the line goes through the y axis. Also if you use slope form you will see that the slope is 5/7.
math question screen shot down below
Answers
Answer:
6
Step-by-step explanation:
If you plug 3 into x for the equation, you are left with:
y=-3(3)+15
Expanding the parentheses:
y=-9+15
Combining like terms:
y=6 miles remaining
Hope this helps!
6. Y is 6. He has 6 more miles left to go.
-3*3+15=6
The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y
Answers
Answer:
a
Step-by-step explanation:
a
Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?
{11, -1, -17}
{-5, 7, 23}
{-11, 1, 17}
{-1, 4, 8}
Answers
Answer:
Its the first one
Step-by-step explanation:
Answer:
FOR PLATO IS NUMBER 2
Step-by-step explanation:
(11,-1,-17)
(x*y)*z=144
x = y*3
z = y*2
please help
Answers
Answer:
whats the question that u need help with
I need help to get to 8.9 I need help to figure out the numbers for the empty boxes.
Answers
Answer:
Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9
Step-by-step explanation:
you take two numbers right and left add them and put the answer in the box above and in between
Please answer #5 A-C!
Answers
Answer:a
Step-by-step explanation:I know
Mateo makes 6 loaves of banana bread. He sells 2/3 of the loaves at a bake sale. Which expression represents how many loaves Mateo sold at the bake sale?
Answers
Answer:
2/3*6=4
Step-by-step explanation:
How do you find the height of this trapezoid?
Answers
Answer:
Step-by-step explanation:
sin 60 = h/12
h = 12sin60
h = 12* √3/2 = 6√3 cm
PLEASE HELP ME!!!!! I WILL GIVE BRAINLIEST!!!!!!!!
You deposit $2000 in a savings account earning 3.5 interest. How long will it take for the balance of the account to be $2100?
Answers
Answer:
Is this monthly? Annually? I don't how how to help with this if theres no time period.
Step-by-step explanation:
Math question down below
Answers
Answer:
12 large books
Step-by-step explanation:
Find the product of each sum and difference.
(21+9)(21-9)
Answers
30 12
Step-by-step explanation:
21 + 9 equals 30 21 - 9 equals 12
In the similar quadrilaterals below, what is the length of AB
10 cm
2.5 cm
8 cm
3 cm
Answers
Answer:
Side AB is 10 cm.
Step-by-step explanation:
The given quadrilaterals ABCD and EFGH are similar.
From the given figure, we can observe the following angles and sides are corresponding.
[tex]\angle A = \angle E=90^\circ\\\angle B = \angle F=63^\circ\\\angle C = \angle G=117^\circ\\\angle D = \angle H=90^\circ[/tex]
Ratio of corresponding sides will be equal:
AB:EF = BC: FG = CD:GH = DA:HE
We have to find the side AB.
Given the sides
EF = 5 cm
BC = 9 cm
DA = 8 cm
EH = 4 cm
So, ratio DA:EH = 8:4 = 2:1
We know that ratio of corresponding sides will be same:
AB:EF = DA:EH
[tex]\Rightarrow \dfrac{AB}{5} = \dfrac{2}{1}\\\Rightarrow AB = 10 cm[/tex]
So, side AB is 10 cm.
Which set of numbers would have no mode?
5, 1, 3, 1, 5
1, 2, 3, 3, 4, 5
-2, -2, -2, 2, 2, 2
0, 0, 1, 2, 3
Answers
Answer:
They all have a mode
Step-by-step explanation:
Answer: All of them do
Explanation: I would check with your instructor on this one.
The mode is the number that appears most frequently in a data set.
In all these sets here, there is a number that appears most frequently.
However, there are two sets that have 2 modes.
These sets are 5, 1, 3, 1, 5 and -2, -2, -2, 2, 2, 2.
What is the length of the missing side?
6 ft
7 ft
Answers
Answer:
9.21954446 (but round to what ever place is required)
Step-by-step explanation:
Use the Pythagorean theorem
a^2+b^2=c^2
6^2+7^2=c^2
36+49=c^2
85=c^2
c=9.21954446
round to what ever place you need
