find the length indicated. Assume that lines which appear to be tangent are tangent.
Answers
9514 1404 393
Answer:
A) 15
Step-by-step explanation:
The angle where the tangent meets the radius is 90°, so the Pythagorean theorem applies to this right triangle.
?² +8² = 17²
?² = 289 -64 = 225
? = √225 = 15
The unknown side length is 15.
Answer:
lenght indicated appear to be tangent
Related Questions
line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Answers
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
The average salary for all 27 Arizona Diamondbacks in the 2005 baseball season was $2,308,488, with a standard deviation of $3,427,508. The population, all National League baseball players in 2005, earned an average salary of $2,585,804, with a standard deviation of $3,500,708. Does the average salary of the Diamondbacks players differ from that of all players in the National League
Answers
Answer:
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Step-by-step explanation:
1) Formulate null and alternate hypothesis
H0: u1= u2 Ha: u1 ≠ u2
The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League
against the claim
that the average salary of the Diamondbacks players differ from that of all players in the National League
The data given is
x1`= $2,308,488, s1= $3,427,508 and n1 = 27
x2`= $2,585,804, s2=$3,500,708 and n2 = 27
2) The test statistic is
z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)
Putting the values
z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)
z= -0.294
3) The significance level is 0.05
The critical region is Z =±1.96
4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.
5) the P-value can be calculated using the calculator.
The p-value is p = 0.7687
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
What is the function equation for the input/output table?
x y
0 0
1.3 3.9
5 15
8 24
y = (3.9) x
y = x + 3
y = 3 x
y = x + 3.9
Answers
Answer:
3
Step-by-step explanation
Your problem statement tells you
f(x) passes through point (3, negative 1)
g(x) passes through point (3, negative 1)
This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.
If event A is certain to occur, what is P(A)?
Answers
Answer:
Unless I'm misunderstanding it should be 100% or 1/1 because something that is 100% likely to happen will always happen.
Step-by-step explanation:
If there is anything else that may change my understanding of this please send it otherwise I hope this helps.
The value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
If event A is certain to occur.
As we know,
From the definition of probability, the ratio of the number of favorable outcomes to the total number of outcomes
The value of the probability lies between 0 to 1 or [0, 1]
If the probability of any event is 0 that means that event cannot happen.
If the probability of any event is 1 that means that event is certain to occur.
Event A is certain to occure.
P(A) = 1
Thus, the value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ5
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Answers
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
a 350
b 130
c 900
d 630
Answers
Answer:
He gets 630 dollars a week so the answer is D.
Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?
Answers
Answer:
664 miles by only going to work not coming back.
Step-by-step explanation:
the question is in the picture lol
Answers
plz answer these questions without putting links and files
what is 3/4 multiplied by 1/2 then add 3/4
what is 1 and 1/8 multiplied by 1/2 then add 3/4
Answers
Answer:
11/8 and 21/16
Step-by-step explanation:
3 x 1 = 3
4 x 2= 8
3/8+3/4(convert to eighth's)
3/8+6/8=11/8
1 1/8 = 9/8
9 x 1 = 9
8 x 2 = 16
9/16+3/4(convert to sixteenth's)
9/16+12/16
21/16
---
hope it helps
=3/4 × 1/2 + 3/4
=3/8 + 3/4
=9/8
2nd questions ans
=1×1/2 + 3/4
=1/2 + 3/4
=5/4
How much more would the value of y be on the graph than its value
in the table when x = 12? (1 point)
Answers
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
What is the product of 2r2 - 5 and 3r
Answers
Answer: 6r^3 - 15r
Step-by-step explanation:
(3r) (2r^2 - 5)
Distribute.
6r^3 - 15r
Hope this helped.
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answers
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
Write the ratio as a fraction in simplest form. Use / for fraction. Do NOT use any labels, and Do NOT type any spaces. Type the fraction only. 2 feet to 20 feet.
Answers
Answer:
It would be 1/10
Step-by-step explanation:
The ratio is 2:20
To put the ratio in fraction form you simply put 2/20
Then divide the fraction by 2 to get 1/10
3.) 7:14. Find the value ofr
Answers
Answer:
1:2 all you have to do is simplify
X
1 point
Mr.Boxer has organized the features of a credit card and a debit card into the table below. Which description is the best representation for the
missing detail?
CREDIT CARD
DEBIT CARD
?
purchases are withdrawn
immediately from bank
account
may not spend more than
your credit limit
may not spend more than
the balance of the
account
purchases are subject to
interest
no interest charged on
purchases
Answers
Answer:
Purchases are not withdrawn immediately from bank
Step-by-step explanation:
In case of credit cards, purchases are not withdrawn immediately from bank in fact the transaction needs approval and verification from the bank. Once the bank verify with the customer regarding the transaction requested, it will not allow money to flow from one account to other.
275436
divisible by 11
Answers
275436/11
=
rounded: 25,039.64
hope this helps
What is the value of p(24)?
Answers
Answer:
24p
Step-by-step explanation:
I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.
Hope this helped!
What is the volume of a cylinder of a radius if 12cm and height 8cm
Answers
Answer:
V≈3619.11cm³
Step-by-step explanation:
Answer:
3619.11 cm³
Step-by-step explanation:
V = πr²h
π · 12² · 8
3619.11 cm³
While in flight, some hummingbirds can flap their wings about 500 times in 10 seconds
Answers
Is this a true or false?
Answer:
50 times in 1 second
Step-by-step explanation:
I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)
Laetisaric acid is a compound that holds promise for control of fungus disease in crop plants. The accompanying data show the results of growing the fungus Pythium ultimum in various concentrations of laetisaric acid. Each growth value is the average of four radial measurements of P. ultimum colony grown in a petri dish for 24 hours; there were two petri dishes at each concentration.
Laetisaric acid X | Fungus Growth Y
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
30 | 10.0
Mean
11.500 | 23.642
sd
10.884 | 7.8471
v. State the slope and interpret its meaning in context.
vi. SS(resid)=16.7812. Use this to compute se.
vii. Show what needs to be calculated for a 95% prediction interval for x = 20. (fill in all the values in the equation but do not evaluate.)
Answers
r = - 0.98754
Answer:
Slope = - 0.7120
SE = 1.295
Step-by-step explanation:
Given the data:
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
Using the relation to Obtian the slope :
Slope, b = r(Sy/Sx)
r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values
r = - 0.98754
Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120
SE = √SSresidual / df
df = n - 2 = 12 - 2 = 10
SSresidual = 16.7812
SE = √(16.7812/ 10)
SE = 1.295
how do I complete these questions a bit confused . (extra credit work )
Answers
Answer:
(1)
[tex]a = \frac{3\sqrt 3}{2}[/tex]
[tex]b = \frac{3}{2}[/tex]
(2)
[tex]a = \sqrt 6[/tex]
[tex]b = \sqrt 2[/tex]
Step-by-step explanation:
Solving (1):
Considering
[tex]\theta = 60^o[/tex]
We have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60^o) = \frac{a}{3}[/tex]
Solve for a
[tex]a = 3 * \sin(60^o)[/tex]
[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]
So:
[tex]a = 3 * \frac{\sqrt 3}{2}[/tex]
[tex]a = \frac{3\sqrt 3}{2}[/tex]
To solve for b, we make use of Pythagoras theorem
[tex]3^2 = a^2 + b^2[/tex]
This gives
[tex]3^2 = (\frac{3\sqrt 3}{2})^2 + b^2[/tex]
[tex]9 = \frac{9*3}{4} + b^2[/tex]
[tex]9 = \frac{27}{4} + b^2[/tex]
Collect like terms
[tex]b^2 = 9 - \frac{27}{4}[/tex]
Take LCM and solve
[tex]b^2 = \frac{36 - 27}{4}[/tex]
[tex]b^2 = \frac{9}{4}[/tex]
Take square roots
[tex]b = \frac{3}{2}[/tex]
Solving (2):
Considering
[tex]\theta = 60^o[/tex]
We have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60^o) = \frac{a}{2\sqrt 2}[/tex]
Solve for a
[tex]a = 2\sqrt 2 * \sin(60^o)[/tex]
[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]
So:
[tex]a = 2\sqrt 2 * \frac{\sqrt 3}{2}[/tex]
[tex]a = \sqrt 2 * \sqrt 3[/tex]
[tex]a = \sqrt 6[/tex]
To solve for b, we make use of Pythagoras theorem
[tex](2\sqrt 2)^2 = a^2 + b^2[/tex]
This gives
[tex](2\sqrt 2)^2 = (\sqrt 6)^2 + b^2[/tex]
[tex]8 = 6 + b^2[/tex]
Collect like terms
[tex]b^2 = 8 - 6[/tex]
[tex]b^2 = 2[/tex]
Take square roots
[tex]b = \sqrt 2[/tex]
Which of the following “transformations” would be an example(s) of a rigid motion?
Group of answer choices
Bread rising
All of these answers
A deck of cards shuffled
A painting is moved to a new location on the wall
Answers
Answer:
a deck of cards
Step-by-step explanation:
The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle.
Answers
Answer:
Step-by-step explanation:
8 cm
Eleanor can type 10 pages in 22 minutes. At this rate, how long will it take her to type 93 pages?
Answers
Step-by-step explanation:
[tex]93 \times 22minutes = 2046 \\ \frac{2046}{10} = 204.6minutes[/tex]
16 In a flower fertilisation experiment, the
number of pink flowers grown is twice that
of red flowers. The number of white flowers
grown is 3 more than that of red flowers.
The number of white flowers grown is
37 fewer than that of pink flowers. Find the
total number of flowers grown.
Answers
Answer:
The total number of flowers grown is 163.
Step-by-step explanation:
Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:
P = 2R
W = R + 3
W = P - 37
W = W
R + 3 = 2R - 37
R + 3 + 37 = 2R
40 = 2R - R
40 = R
P = 2 x 40 = 80
R = 40
W = 40 + 3 = 43
80 + 40 + 43 = X
163 = X
Therefore, the total number of flowers grown is 163.
i need help with 3c+5=17
Answers
Answer:
4
Step-by-step explanation:
move the constant to the right 3c+5=17
calcute 3c=17-5
divide both sides 3c=12
so the answer is 4
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help
Answers
Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
f(x) = 2x3 – 3x2 + 5
g(x) = 3x3 + 2x2 – 4x – 9
Find (f - g)(x).
Answers
PLEASE ANSWER ASAP FOR BRINELST!!!!!!!!!!
Answers
Answer:
D) 400
Step-by-step explanation:
The proportions are .7 + .8 + .8 + .9 = 3.2
3.2/4 = .8 (The average proportion of Blue Balloons)
500 * .8 = 400 blue balloons
Write any two laws of indices in division and multiplication
Answers
Answer:
The first law: multiplication. If the two terms have the same base (in this case. ...
The second law: division. If the two terms have the same base (in this case. ...
The third law: brackets. If a term with a power is itself raised to a power then the powers are multiplied together. ...
Negative powers. ...
Power of zero. ...
Fractional powers.
Step-by-step explanation: