Answers
Answer:
AB = 32
Step-by-step explanation:
Given:
AD = 40
CD = 9
Required:
Find the length of segment AB
Solution:
BC and CD are radius of the circle. Therefore,
BC = CD = 9
AB = AC - BC
AB = AC - 9
We need to find AC
Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.
Therefore, we can apply Pythagorean theorem to find AC.
Thus:
AC² = AD² + CD²
AC² = 40² + 9²
AC² = 1,681
AC = √1,681
AC = 41
Let's find BC:
AB = AC - 9
Plug in the value of AC
AB = 41 - 9
AB = 32
Related Questions
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 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.
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]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
4.123 km
Step-by-step explanation:
a squared = c sqaured - b squared
a squared = 9 sqaured - 8 squared
a squared = 81 - 64
a squared = 17
a = root 17
a = 4.123 km
Answer:
4.1 it is rounded to the nearest tenth already
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.
an examination started 12.50 pm and lasted for 2 and half hours. at what time did it end
Answers
Answer:
3: 20 pm
[tex] = > hours = 12 and 2 + 1hour = > 3 \: pm \\ minutes = 30 - 10 = 20 \: minutes \\ it \: ended \: at \: 3 : 20 \: pm[/tex]
Answer:
it ended at 3.20pm
Step-by-step explanation:
12.50 to 1.50 is one hr
1.50 to 2.50 is two hrs
2.50 to 3.20 is two and half hrs
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.
To rent a certain meeting room a college charges a reservation of $47 and an additional fee of $7.90 per hour the film club wants to spend less than $86.50 on renting the meeting room what are the possible amount of time for which they could rent the meeting room used T for the number of hours in meeting room is rented and solve your inequality for T
Answers
Answer:
9 hours.
Step-by-step explanation:
31 + 5.9*t < 84.10.
To solve it, collect the constant terms on the right side:
5.9*t < 84.10 - 31 = 53.10,
Hence, t < 53.10%2F5.9 = 9 hours.
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.
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
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
f(x) = 2x3 – 3x2 + 5
g(x) = 3x3 + 2x2 – 4x – 9
Find (f - g)(x).
Answers
PLEASE HELP
2n-200 but n = 150
Answers
Answer:
Just plug in where n is= 150 then solve the answer is 100
Step-by-step explanation:
2(150)-200
N=150
So 2 times 150 is 300
300 minus 200 is 100
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:
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.
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:
3.) 7:14. Find the value ofr
Answers
Answer:
1:2 all you have to do is simplify
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
Angle Relationships
Solve the following right triangle
Determine all the missing sides and angles
a.
BC = 5cm
AC = 4cm
∠B = 27°
∠C = 90°
b.
BC = 4.8cm
AC = 3.6cm
∠B = 37°
∠C = 180°
c.
BC = 4cm
AC = 3cm
∠B = 127°
∠C = 180°
d.
BC = 4.8cm
AC = 3.6cm
∠B = 127°
∠C = 180°
Please select the best answer from choices provided
Answers
Answer:
B.
BC = 4.8cm
AC = 3.6cm
∠B = 37°
∠C =90°
Step-by-step explanation:
I calculated it logically
Answer:
B
Step-by-step explanation:
Edg told me
Identify the terms,like terms,coefficient and constants
Answers
Like Terms: -4j and -5j, -2 and 6
Coefficients: -4, -5
Constants: -2, 6
What is the product of x2 - 2x +3 and x+1?
Answers
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.
01:14:51 A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5? 1 13 o colo 100 Next Submit Save and Exit Mark this and return
Answers
Answer:
the probability is 3/8
Step-by-step explanation:
5) Mrs. Bell went bowling again. Her bowling scores were 100, 172, 85, and 92. She wants
her average to be 115. What does she need to bowl on the next game?
Answers
Answer: She needs to bowl 120 or more on her next game.
Step-by-step explanation:
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
Cynthia is mowing lawns for extra money. The amount of money she made after putting gas in the lawnmower is shown below.
Cynthia's Mowing
Money Made in Dollars 37 77 117 157
Number of Lawns 2 4 6 8
A.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
B.
The amount of money Cynthia made is the 35 more than the number of lawns she mowed.
C.
The amount of money Cynthia made is the 35 less than the number of lawns she mowed.
D.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 plus 3.
Answers
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
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. :)
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
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%
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