In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answers
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{4\times 360}{20}[/tex]
= 72°
Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{6\times 360}{20}[/tex]
= 108°
Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]
= [tex]\frac{1}{2}(72+108)[/tex]
= 90°
Related Questions
$1000 is invested at 2.9% annual interest for 6 months.
a. Simple Interest b. Compound Interest
Answers
Answer:
a. Simple interest = $174
b. Compund interest = $1187.1
Step-by-step explanation:
Given the following data;
Principal, P = $1000
Interest, R = 2.9%
Time, T = 6 months
a. To find the simple interest;
S.I = (PRT)/100
S.I = (1000*2.9*6)/100
S.I = 17400/100
S.I = $174
b. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 1000(1 + \frac{2.9}{100})^{6}[/tex]
[tex] A = 1000(1 + 0.029)^{6} [/tex]
[tex] A = 1000(1.029)^{6} [/tex]
[tex] A = 1000(1.1871)[/tex]
A = $1187.1
Solve for x.
-1/5(x-4)= -2
Answers
Answer:
14
Step-by-step explanation:
Steps shown in the image
si miras la luna a traves de un telescopio q tiene un aumento de 40 veces Que tan grande se parecera a traves del telescopio?
Answers
Answer:
40 times bigger. because fold in this case means times like multiplying.
40 veces más grande. porque doblar en este caso significa tiempos como multiplicar.
Help please make the letter in the brackets the subject of each formula
Answers
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
helppppppppppppppppp
Answers
Answer:
X should equal 65, sorry if I’m wrong
Step-by-step explanation:
I need help with this math problem don't know how to do it.
Answers
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answers
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track the robots, the southwest vertex of the rectangle is assigned coordinates (0, 0) and the northeast vertex is assigned coordinates (35, 25). The robot that traveled from (3, 18) and moved in a linear path for 5 seconds. After 5 seconds, the robot’s position was at (31, 6). What is the approximate speed of the robot during the 5 seconds? Give your answer to the nearest whole number.
Answers
Answer:
The approximate speed of the robot during the 5 seconds is:
6 ft/sStep-by-step explanation:
To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:
[tex]hypotenuse^{2}[/tex] = [tex]opposite leg^{2}[/tex] + [tex]adjacent leg^{2}[/tex][tex]hypotenuse^{2}[/tex] = [tex]12^{2} +28^{2}[/tex][tex]hypotenuse=\sqrt{ 12^{2}+28^{2} }[/tex][tex]hypotenuse=30.46 ft[/tex]With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:
[tex]Speed =\frac{distance}{time}[/tex][tex]Speed = \frac{30.46 ft}{5 s}[/tex]Speed = 6.09 ft/sAs you need the speed in the nearest whole number, then:
Speed = 6 ft/sFiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
Answers
I just multiple 998 by 0.025 to get 24.95
2.5%=0.025
What is the value of the tangent of
Answers
Answer:
Step-by-step explanation:
With reference < H
perpendicular (p) = 12
base (b) = 5
so now
tangent of < H
= p / b
= 12 / 5
hope it helps :)
Perpendicular (p) = 12
Base (b) = 5
Tangent of < H
= p/b
= 12/5
40 divided by 28! HURRY!!
Answers
Answer:
fraction~ 10/7
decimal~ 1.428571
mixed number~ 1 3/7
Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number
Pleeeeeeeaaase answer quick. With explanation. Will give 40 points
Answers
Answer:
See attached
Step-by-step explanation:
Review the picture
For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answers
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answers
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3
How many solutions dose x+y=10 x+y=12
Answers
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
What is the answer to this
Answers
Answer:
4)
Step-by-step explanation:
This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].
Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)
Answers
Answer:
69 over 420
Step-by-step explanation:
trust me
What is the difference of 100 and 10
Answers
Answer:
The difference of 100 and 10 is 90.
Step-by-step explanation:
Answer:
the difference of 100 and 10=100-10=90
Plz need help fast.....
Answers
Answer:
See Below
Step-by-step explanation:
1: -9 Take the Square Root of 81 and then multiply by -1.
2: +- 1/3 1/3 *1/3= 1/9
3: -1 -1*-1*-1 = -1
Have a Great day!
17. Find the surface area of the sphere in terms of pi. 7 yd
Answers
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]Factor this trinomial.
x2 + x - 2
A. (x-2)(x - 1)
B. (x-2)(x + 1)
C. (x + 2)(x - 1)
D. (x + 2)(x+1)
SA
Answers
Answer:
factoring this trinomial of x2 + x - 2? i got you covered. it's good that this is a multiple choice question because you can work backwards. the answer is C because all you have to do is first multiply the 2 x's to make x to the power of two. then you multiply the first x with -1 to make -x. then you make 2x by multiplying the 2 with x and -2 by multiplying 2 by -1. then you combine the common factors.
Step-by-step explanation:
(x + 2)(x - 1)
(x)(x) = x2
2 x -1 = -2
x2 - x + 2x -2
x2 + x - 2
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answers
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8
Answers
9514 1404 393
Answer:
D. k = In(1.25)/8
Step-by-step explanation:
Solve the equation for k. Maybe you want to put the numbers in first.
[tex]y=n\cdot e^{kt}\\\\625=500e^{8k}\qquad\text{use the given values}\\\\1.25=e^{8k}\qquad\text{divide by 500}\\\\\ln{(1.25)}=8k\qquad\text{take the natural log}\\\\\boxed{k=\dfrac{\ln(1.25)}{8}}\qquad\text{divide by 8}[/tex]
_____
That's about 2.7893%
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
Answers
Answer:
115.3333
Step-by-step explanation:
346/3
Hope this helps. :)
(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?
(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.
(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?
(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.
(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?
(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?
(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?
(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!
Answers
hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right
If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?
Answers
Answer:
We write 4 times 4 because it includes 34,44,54,64in the data.
You would write 6 times the digit 4.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
You write all numbers from 30 to 65 including 30 and 65.
And in between there are following numbers that have digit 4:
34, 40, 44, 54 and 64.
That means, we wrote 6 times digit 4.
Therefore, digit 4 would be written 6 times.
To learn more about the integers;
brainly.com/question/1768254
#SPJ2
A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE
Answers
Answer:
786.85
Step-by-step explanation:
How many hours of training would you need to have a salary of $2,620?
Answers
Answer:
80 Hours
Step-by-step explanation:
The Salary increases 200$ per 10 hours
Answer:
80 hours
Step-by-step explanation:
2620/122=10+70=80
Can someone please help me with these two I will mark u brilliant
Answers
Answer:
The first answer is $4.97. The second answer is 1 over 16.
Step-by-step explanation:
For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.
For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.
Please can I have help on this
Answers
Answer:
64
Step-by-step explanation:
16/2
= 8
8 x 8 x (pie)
64(pie)
Answer:
From the diagram, the radius of the circle is 8cm therefore the area is
A =
[tex]a \: = \pi {r}^{2} [/tex]
= 201.1 cm^2