Answer:
A. 195 > 14.1
Step-by-step explanation:
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
Prove: △ACO ≅ △BCO
Circle O is shown. Line segments A O and B O are radii. Tangents C B and C B intersect at point C outside of the circle. A line is drawn to connect points C and O.
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because .
We also know that AC ≅ BC since .
Using the reflexive property, we see that .
Therefore, we conclude that △ACO is congruent to △BCO by the .
Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
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The two column proof of the fact that △ACO is congruent to △BCO is; SSS Congruence Theorem
How to write the two column proof?
We are given that;
angle AOB is a central angle of circle O
angle ACB is a circumscribed angle of circle O.
Now, AO ≅ BO. The reason is because all radii of the same circle are congruent.
We are told that; AC ≅ BC. The reason is because tangents to a circle that intersect each other are congruent.
Using the reflexive property, we see that side CO is congruent to side CO.
Finally, we can conclude that △ACO is congruent to △BCO by the SSS congruence theorem.
Read more about the two column proof at; https://brainly.com/question/1788884
A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.
The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.
The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.
These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.
Which choice shows how to combine h and d to build f
Answer: f(t)=h(t)+d(t)
f(t)=-16t^2+15t+6
Step-by-step explanation:
I just got this question right
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?
Answer:
Expected value of package = $0.04 (Approx.)
Step-by-step explanation:
Given:
30 packages at $0.65 each
10 packages at $0.60 each
15 packages at 0.30 each
Pick up price for random one = $0.50
Find:
Expected value of package
Computation:
Total cost of 30 package = 30 x 0.65
Total cost of 30 package = $19.5
Total cost of 10 package = 10 x 0.60
Total cost of 10 package = $6
Total cost of 15 package = 15 x 0.30
Total cost of 15 package = $4.5
Total cost = 19.5 + 6 + 4.5
Total cost = $30
Cost of random package = 30 / [30+10+15]
Cost of random package = $0.54
Expected value of package = 0.54 - 0.50
Expected value of package = $0.04 (Approx.)
Emma bought two televisions at 2500.00 each.One got slightly damaged during transportation.He sold the undamaged one at 3000.00 and sold the damaged one at 2200.00.Calculate the profit made by Emma
Answer:
200.00
Step-by-step explanation:
Cost of 2 television at 2,500.00 each = 2 × 2,500.00
= 5000.00
Cost of 2 television = 5,000.00
Selling price of the undamaged TV = 3000.00
Selling price of the damaged TV = 2200.00
Total selling price = 3000.00 + 2200.00
= 5,200.00
Total selling price = 5,200.00
Profits = selling price - cost price
= 5,200.00 - 5,000.00
= 200.00
Profits = 200.00
Tammy is making 5 batches of punch for the school's Spring Carnival. The recipe for one batch uses 1 liter of orange juice, 650 milliliters of lemon juice, 2.3 liters of soda water, and two 750 milliliter bottles of apple cider.
Answer: 23.5 L
Step-by-step explanation:
Given
1 batch of recipe needs
1-liter Orange Juice
650 ml of Lemon Juice
2.3 L of soda water
750 ml of apple cider
We know, [tex]1\ L=1000\ ml[/tex]
The total volume of liquid used is the sum of all the ingredients
[tex]\Rightarrow 1+0.650+2.3+0.75=4.7\ L[/tex]
1 batch requires 4.7 L of liquid
5 batch requires [tex]5\times 4.7=23.5\ L[/tex] of liquid
What is the best definition for “sample” as used in statistics? *
Mark only one oval.
the entire population of the group
a part of the population that represents the entire population
a measure of how much the values within a population vary
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
A sample simply refers to a smaller group of observation usually drawn from a larger group or a collection of the total possible observation that fits a particular or specific characteristic(population). This smaller group or subset of observation is usually chosen to be representative of the larger group of population. Representative Samples are usually obtained by drawing at random from the population and are very important where using the entire population for a study seems impossible or very expensive or intensive.
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50 POINTS!!! Nadeem is training for a bicycle race. On Monday, he bicycled for 30 minutes at 30 miles per hour. He rested for 10 minutes and then bicycled for 20 minutes at 36 miles per hour. Complete the table below and or draw the distance-time graph. (I JUST NEED THE GRAPH PART GIVING BRAINLIEST FOR BEST GRAPH)!!!
Answer:
your two points would be 30 minutes and 15 miles then 60 minutes and 18 miles
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
The Halloways are taking a trip to Maine. Mr. Halloway knows that it is about 885 miles to their destination in Maine from their home in Ohio. He knows the average speed along his route will be 65 miles per hour. How many hours is the drive?
Answer:
Number of hours= 13.61 hours
Step-by-step explanation:
Giving the following information:
Mr. Halloway knows that it is about 885 miles to their destination.
Average speed= 65 miles per hour
To calculate the number of hours to be drive, we need to use the following formula:
Number of hours= total miles / miles per hour
Number of hours= 885/65
Number of hours= 13.61 hours
True or False?
The graphs of x√ and 3x√ have the same x and y intercepts.
True
True
False
Answer:
without a value under the square root there are no I tercepts because you can't graph xsqrt
Is my work correct here I'm supposed to find the first four terms using the recursion formula?
Answer:
yes your formula is correct
Step-by-step explanation:
Susan is making circular placemats for her kitchen table. The diameter of the circle is 5.6 inches. She wants to place a decorative ribbon around the outside of the circle. How much ribbon does she need, rounded to the nearest inch?
Answer:
Stepu-by-step explanation:
Helppppp pleaseeeee
Answer:
-1
Step-by-step explanation:
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
A.B.C.D
what value of 3x makes the equation true?
5x+3x=5x+15/2
Answer:
2.5
Step-by-step explanation:
when you 5x automatically cancels, and 7.5 / 3 is 2.5
f(x) = x? What is g(x)?
g(x);
5-
(1,3)
(x
A. g(x) = (3x)2
B. g(x) = 9x2
C. g(x) = 3x2
D. g(x)= x2
Answer:
C. g(x) = 3[tex]x^{2}[/tex]
Step-by-step explanation:
f(1) = 1 and g(1) = 3
g(1) is 3 times more than f(1)
So, g(x) = 3[tex]x^{2}[/tex]
“Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.” Help pls !
The graph of a quadratic function has a vertex (3,-1). What is the domain and the range? The graph is pointing downward
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
Write an expression to represent "8 less than the product of 3 and j"
Sales Hester sells televisions. She ears a fixed amount for each television and an additional $20 if the buyer gets an extended warranty Hester sels 14
televisions with extended warranties, she earns $1,050. How much is the fixed amount Hester eams for each television?
The fixed amount Hester eams for each television she sells is $
Pleaseeee help me
Will mark brainliest
Total earned for the warranties: 14 x 20 = 280
Subtract warranty amount from total:
1050-280 = 770
Divide by total TVs:
770/14 = 55
She earns $55 per tv.
A biologist is studying the growth rate of a bacteria sample. The sample started with a bacterial count of 331. The chemist's data shows the count to be increasing by 6% every 2 hours. At that rate, approximately what is the bacterial count after 6 hours?
A. 418
B. 450
C. 394
D. 470
Which answer is correct??
Answer:
8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
y
2
−3=1
1
2
y+−3=1
1
2
y−3=1
Step 2: Add 3 to both sides.
1
2
y−3+3=1+3
1
2
y=4
Step 3: Multiply both sides by 2.
2*(
1
2
y)=(2)*(4)
y=8
Answer:
C.
Step-by-step explanation:
Replace y with each value.
If y is 2 then the answer would be -2
If y is 4 then the answer would be -1
If y is 8:
8/2 = 4
4-3 = 1
Please mark brainliest if this answer helped.
Happy Learning!
o is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om
* ill mark u BRAINLIEST *
Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer.
Answer:
No
Step-by-step explanation:
$68 - $24 - $35 = $9
$9 < $12
Therefore, Alexa can't afford to buy a $12 shirt
Answer:
no
Step-by-step explanation:
24+35=59
59+12=71
so, it does not work
9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =
Answer:
40
Step-by-step explanation:
[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]
[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]
[tex]17.5x - 47.5 = 7x + 5[/tex]
[tex]17.5x = 7x + 52.5[/tex]
[tex]10.5x = 52.5[/tex]
[tex]x = 5[/tex]
Plug 5 in for 7x+5.
[tex]7(5) + 5 = 40[/tex]
A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?
The total volume of the composite figure is 64 in³.
Volume of a rectangular prismThe volume of a rectangular prism, V = lwh where
l = length, w = width and h = heightVolume of horizontal rectangular prismSince horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,
l = 8 in, w = 2 in and h = 2 in.So, its volume V' = lwh
= 8 in × 2 in × 2in
= 32in³
Volume of vertical rectangular prismSince the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,
l = 2 in, w = 2 in and h = 8 in.So, its volume V" = lwh
= 2 in × 2in × 8 in
= 32 in³
Volume of composite figureThe volume of the composite figure V"' = V' + V"
= 32 in³ + 32 in³
= 64 in³
So, the total volume of the composite figure is 64 in³.
Learn more about volume of rectangular prism here:
https://brainly.com/question/16065525
What is the image of (9, 12) after a dilation by a scale factor of į centered at the
origin?
Submit Answer
attempt 1 out of 2
Answer:( 3, 4)
Step-by-step explanation: :)
May someone please help me with this :)
Answer:
150.8
Let me know if you need an explanation.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Differentiate f(x)=(x+4)^3(x-3)^6.
