Answers
Answer:
∠ABC = 46°
Step-by-step explanation:
DB and BC are of same length (radius), making it an isosceles triangle.
The base of the triangle is the same at 23°, a total of 46°.
180° - 46° = 134°
But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.
Therefore, 180° - 134° = 46°
Related Questions
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.
Answers
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let
[tex]A \to Amount[/tex]
[tex]t \to time[/tex]
Given
[tex]A(0) = 200[/tex] --- initial
[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes
Required
[tex]A(10)[/tex] --- amount left after 5 minutes
To do this, we make use of:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(5) = 160[/tex] implies that:
[tex]160 = 200 * e^{k*5}[/tex]
Divide both sides by 200
[tex]0.80 = e^{k*5}[/tex]
Take natural logarithm of both sides
[tex]\ln(0.80) = \ln(e^{k*5})[/tex]
[tex]\ln(0.80) = \ln(e^{5k})[/tex]
[tex]\ln(0.80) = 5k\ln(e)[/tex]
So, we have:
[tex]-0.223 = 5k[/tex]
Divide by 5
[tex]k = -0.045[/tex]
So, the function is:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(t) = 200 * e^{-0.045t}[/tex]
The amount after 10 minutes is:
[tex]A(10) = 200 * e^{-0.045*10}[/tex]
[tex]A(10) = 200 * e^{-0.45}[/tex]
[tex]A(10) = 127.53[/tex]
what is the answer to this question
Answers
Answer: Your Answer to this question is C. Can you mark me as Brainliest and a thanks plss!!
What is the slope between the two points (2,8) ;(3,12)
Answers
Answer:
4
Step-by-step explanation:
If we have two points we can find the slope
m = ( y2-y1)/(x2-x1)
= (12-8)/(3-2)
= 4/1
= 4
Due today.. I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.
Answers
Answer:
Y = -0.3587+0.09118X
92 %
Step-by-step explanation:
Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :
Ŷ = -0.3587+0.09118X
Where, x = test score ; y = hours of sleep
To obtain the test score of a student who sleep foe 8 hours using the model :
Y = 8
Ŷ = -0.3587+0.09118X
8 = -0.3587+0.09118X
8 + 0.3587 =0.09118X
8.3587 = 0.09118X
X = 8.3587 / 0.09118
X = 91.672515
X = 92 ( approximately)
How do you do an explicit formula for a geometric problem
Answers
Answer:
State the initial term.
Find the common ratio by dividing any term by the preceding term.
Substitute the common ratio into the recursive formula for a geometric sequence.
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answers
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
what type of triangle measuring 60cm, 100 cm, 40 cm
Answers
Answer:
Not a triangle
Step-by-step explanation:
Not a triangle.
The sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
40 + 60 is not greater than 100
therefor it is not a triangle
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
B. 489.8 ft²
Step-by-step explanation:
Lateral surface of the cylinder = 2πrh
Where,
radius (r) = 6 ft
height (h) = 13 ft
Let π = 3.14
Plug in the values into the formula
Lateral surface of the cylinder = 2*3.14*6*13
Lateral surface of the cylinder = 489.8 ft²
PLZ Help
what is the surface area of this cylinder
Answers
Answer:
188.5)
Step-by-step explanation:
2 x 3.14 x 4 x 3.5 + 2 x 3.14 x 4 x 2
=2πrh+2πr2
Note:
Pls notify me if my answer is correct for the other users that will see this response.
-kiniwih426
SIX is a right triangle with the measure of X = 60° and the measure of I = 90° IF IX = 5. find the length of SX
Answers
Answer:
10
Step-by-step explanation:
Given the following
<X = 60°
I = 90°
IX = 5(Adjacent)
Required
SX (HYPOTENUSE
According to SOH CAH TOA
Cos theta = adj/hyp
Cos 60 = 5/SX
SX = 5/cos 60
SX = 5/(1/2).
SX =5×2
SX = 10
Determine the distance between points (x1, y1) and point (x2, y2), and assign the result to point Distance. The calculation is:
Answers
Given:
The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
To find:
The distance between given points.
Solution:
Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.
Now, the hypotenuse is the distance between the two points.
[tex]\text{Perpendicular}=y_2-y_1[/tex]
[tex]\text{Base}=x_2-x_1[/tex]
Using Pythagoras theorem,
[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Taking square root on both sides, we get
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] [Distance is always positive]
Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.
Express the percent as a decimal.
41%
Answers
Answer:
0.41
Step-by-step explanation:
41/100
0.41
hope it helps
Answer:
0.41
Step-by-step explanation:
Percentages, fractions, and decimals are tightly connected.
When breaking the meaning of "percent" down, you get "per" (for each) and "cent" ("hundred" in French), so a percent is always a number over 100.A fraction is one number divided by another, a part of a whole.A decimal is a number expressed with the base-ten system of counting.This being said, if you get 41%, remember that you can write it as a fraction of the number over 100, which would be [tex]\frac{41}{100}[/tex]. You can then turn it into a decimal*, which would be 0.41.
*when you have a two-digit whole number as the numerator of a fraction with denominator 100, the decimal form would just be 0. the numerator and the percent would be the numerator %. If the numerator is a whole one-digit number and the denominator is 100, the decimal form would be 0.0 the numerator, and the percent would still be just the numerator %.
e.g. for a fraction of [tex]\frac{17}{100}[/tex], the decimal is 0.17 and the percent is 17%.e.g. for a fraction of [tex]\frac{3}{100}[/tex], the decimal is 0.03 and the percent is 3%.Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?
A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00
Answers
C $1,140.38
Step-by-step explanation:
We are given that Adriana sold 50 shares and that the price per share was $22.98
This means that:
Total value = 50 * 22.98 = $1149
Now, we know that the broker charged 0.75% commission on the total value
This means that:
Broker's charge = 0.75% * 1149 = 0.0075 * 1149 = $8.6175
Therefore,
Adriana's return = Total value - broker's charge
Adriana's return = 1149 – 8.6175 = $1,140.38
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answers
Answer:
x = 30°
Step-by-step explanation:
(3x) = 90
[tex](3x)/3=90/3[/tex]
x [tex]=[/tex] 30
Hence, x = 30°
Identify factors that influence the significance level and power of a hypothesis test. Which of the following statements is FALSE?
a. Alpha (a) is equal to the probability of making a Type I error.
b. A smaller sample size would increase the effectiveness of a hypothesis test.
c. The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type 1 Error.
d. The power of a hypothesis test is the probability of not making a Type Il error.
Answers
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
A smaller sample size would increase the effectiveness of a hypothesis test
Step-by-step explanation:
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answers
Answer:
5, 10 and 13
Step-by-step explanation:
5 - 3 = 2 < 10
10 - 3 = 7 < 10
13 - 3 = 10 = 10
Click on the measure of the gangle.
Answers
Answer:
34
Step-by-step explanation:
The bottom line is at 180
The top line is at 146
180-146 =34
What is 9x + 5= 32 described as
Answers
Answer:
9x + 5= 32
9x=27
x=3
What is the perimeter of this rectangle?
Answers
Answer:
I think I would be option C. for your question
Thank you......
Have a good day......
Suppose 56% of recent college graduates plan on pursuing a graduate degree. Twelve recent college graduates are randomly selected.
a. What is the probability that no more than three of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
b. What is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
c. What is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
Answers
What is the result when the number 84 is decreased by 50%?
Answers
Answer:
42
Step-by-step explanation:
Answer:
42
84 ×50%by100 =42. 84-42= 42. hope helpful answerHELPPPPPPPPPPPPPPPP!!!!!!
Answers
Answer:
70.2 degrees
Step-by-step explanation:
[tex]\arccos \left(\frac{19}{56}\right)=1.22463\ = \quad \begin{pmatrix}\mathrm{Degrees:}&70.17^{\circ \:}\end{pmatrix}[/tex]
A small country had a population of 7.1 x 10° in 1990. Since then, the original population has doubled, and an additional 7.7 x 1010 people have immigrated into the country. What is the population of the country now? The population is A x 10 where
Answers
Answer:
[tex]21.9 * 10^{10}[/tex] Population of the Country Now .
Step-by-step explanation:
According to the Question,
Given, A small country had a population of [tex]7.1 * 10^{10}[/tex] in 1990. Since then, the original population has doubled Thus The Population as of Now is [tex]2*7.1 * 10^{10} =[/tex] [tex]14.2 * 10^{10}[/tex] And [tex]7.7 * 10^{10}[/tex] people have immigrated into the country Thus, The New Population of the Country is [tex]14.2 * 10^{10} + 7.7 * 10^{10} =[/tex] [tex]21.9 * 10^{10}[/tex] .One of the legs of a right triangle measures 16 cm and the other leg measures 8 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
17.9
Step-by-step explanation:
Use the Pythagorean theorem, c²= a² + b². We can rewrite it as c = √(a² + b²), a=16 and b=8. Plug it in as c = √(16² + 8²) then simplify.
c = √(16² + 8²)
c = √(256 + 64)
c = √320
c≈17.9 (rounded to the nearest tenth)
23
1 Which of the following numbers makes
the inequality below true?
2.5p < 14
Ap=5
Bp=6
cp=7
Dp = 8
lo What is the value of n in the countion
Answers
Answer:
A. p=5
Step-by-step explanation:
2.5x5=12.5
The rest are over 14
Hope this helps! :)
Megan worked 20 hours last week. This
week she worked 80% more hours. How
many more hours did she work this week 2
Answers
Answer:
16 more hours for a total of 36 hours.
Step-by-step explanation:
C= 20 × .8
C= 16
T= 20 + C
T = 20 + 16
T = 36
Please answer this I am to lazy to think right now
Answers
QUESTION:- WHICH FRACTION IS THE RECIPROCAL OF [tex] \frac{4}{3}[/tex]
[tex]RECIPROCAL = \frac{3}{4} [/tex]
4)
5 + 15x
42x + 4
-
A) -2
C) -10
B) 3
D) -8
Answers
Answer:
answer is --10 pls make me brainlest
if f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)
Answers
Answer:
3x³ + 13x² + 14x
Step-by-step explanation:
(f × g)(x)
= f(x) × g(x)
= (x + 2)(3x² + 7x)
= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis
= 3x³ + 7x² + 6x² + 14x ← collect like terms
= 3x³ + 13x² + 14x
how much does a customer save for buying a sound system marked $1,200 at a discount of 15%
Answers
Answer:
Step-by-step explanation:
Mp=$1200
Let sp be x
SP=MP-discount% of MP
x=1200-15/100 * 1200
x=120000-18000/100
x=102000/100
x=1020
the amount of money person saves=MP-SP
=$1200-$1020
=$180
therefore he saves $180