Answers
=================================================
Explanation:
Refer to the figure below.
Focus on triangle ABF. Angle AFB = 40 is marked in red. Angle BAF = 90 is marked in blue. The missing angle is 180-90-40 = 50 which is angle ABF.
Inscribed angle ABF = 50 doubles to arc AC since this inscribed angle subtends the arc in question. I'm using the inscribed angle theorem.
arc AC = 2*(angle ABF) = 2*50 = 100 degrees
Note: We don't need the fact that angle AGD = 86
Related Questions
You bought one dozen eggs but one-third of the eggs were broken. How many eggs were broken?
(Hint: A dozen eggs is 12 eggs.)
eggs
Answers
Answer:
4 were broken
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] × 12 = [tex]\frac{12}{3}[/tex] = 4 ← number of broken eggs
what digit is in the ten thousand place in 796,142 what is the answer
Answers
Answer:
9
Step-by-step explanation:
So,
2 is in the units,
4 is in the tens,
1 is in the hundreds,
6 is in the thousands,
9 is in the ten thousands, and
7 is in the hundred thousands.
I hope this is helpful xx
Answer:
9 is in the ten thousands place.
Find the measures of the interior angles that maximize the area of an isosceles trapezoid
where the length of the non-parallel sides are each 4 inches and the length the shorter of
the two bases is 6 inches.
Answers
The internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units.
How to determine the maximum possible area of an isosceles trapezoid
Quadrilaterals are figures formed by four line segments and whose sum of internal angles equals 360°. By geometry we know that the area of a trapezoid is the average of the length of the two bases (B, b), in inches, multiplied by the height of the quadrilateral.
A = 0.5 · (B + b) · h (1)
By trigonometry the measure of the longer base and the height of the isosceles trapezoid are, respectively:
B = b + 2 · l · cos θ (2)
h = l · sin θ (3)
Where θ is an internal angle, in degrees.
By (2) and (3) in (1):
A = 0.5 · (2 · b + 2 · l · cos θ) · (l · sin θ)
A = (b + l · cos θ) · (l · sin θ)
A = b · l · sin θ + l² · sin θ · cos θ
A = b · l · sin θ + 0.5 · l² · sin 2θ (4)
If we know that b = 6 in and l = 4 in, then the area of the isosceles trapezoid is represented by the following function:
A = 24 · sin θ + 8 · sin 2θ (5)
Now we determine the angle associated to the maximum area by graphic approach.
According to this approach, the internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units. [tex]\blacksquare[/tex]
To learn more on trapezoids, we kindly invite to check this verified question: https://brainly.com/question/8643562
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. What will it be worth when Sam is 33?
Answers
The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,
[tex]P=4000\\r=9.8\%[/tex]
Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,
[tex]t=33-25\\t=12\rm\; years[/tex]
Put the values in the formula,
[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]
Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
Learn more about the compound interest here;
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Answer: $8733.01
Step-by-step explanation: I got it right on my quiz
ANSWER THE FOLLOWING:
Answers
Answer:
1) 69/81 (indirect probability)
2) not asked a question (indirect probability)
3) 1/4 (indirect)
4) 75% (indirect)
Step-by-step explanation:
1) 45+24/12
2) Doesn't ask a question
3) 2 are white females so 2/8=1/4
4) 45%+30%
I hope this okay and correct
Human blood is divided into 8 possible blood types. The rarest blood type is AB negative. Only 1% of the population has this blood type. Suppose a random sample of 50 people is selected. Can we find the probability that more than 3% of the sample has AB negative blood
Answers
Using the normal approximation to the binomial distribution, it is found since np = 0.5 < 10, we cannot find the probability.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10, n(1 - p) \geq 10[/tex].In this problem, we have that:
Only 1% of the population has this blood type, hence p = 0.01.A random sample of 50 people is selected, hence n = 50.Then:
np = 50 x 0.01 = 0.5 < 10.
Thus we cannot find the probability.
More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710
the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle
Answers
Answer:
A=wl=3·10=30
A=30
Step-by-step explanation:
An angle measures 26.8° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Given :
An angle which measures 26.8° less than the measure of its complementary angle.⠀
To Find :
The measure of each angle.⠀
Solution :
Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .⠀
Now,
⠀
According to the Question :
⠀
[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]
⠀
Therefore,
One angle = 58.4°Other angle = 58.4° – 26.8° = 31.6°⠀
Hence,
The measure of the each angles are 58.4° and 31.6° .Answer:
The measurement of each angle is 58.4° and 31.6°
Step-by-step explanation:
Given :-
Value of an angle is 26.8° less than its complementary angleTo Find :-
Measurement of each angleSolution:-
let one angle be x and other be x - 26.8°
we know that, Sum of complementary angle is 90°
X + X - 26.8° = 90°
2x = 90° + 26.8°
x = 58.4
So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6
In the past year, Ann watched 14 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
28%
Step-by-step explanation:
Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%
Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of flow in cups per day. Round your answer to the nearest hundredth.
Answers
Explain
9 quards / 3.5 years (4 cups / 1 quart)( 1 year/ 365 days) = 0.028 cup/ day
giving brainliest! need this one question soon, thank you so much!
Answers
Answer:
7.014m
Step-by-step explanation:
[tex] \frac{11.3}{2.9} = \frac{h}{1.8} \\ h = \frac{11.3 \times 1.8}{2.9} \\ h = 7.013793103448275 \\ h = 7.014m[/tex]
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A mitochondrion has a diameter of about 0.00000031 meter. The diameter of a chloroplast is about 3 times that of the mitochondrion. What is the approximate diameter of the chloroplast?
Answers
the diameter of the mitochondrion= 0.00000031 meter.
to find:the diameter of the chloroplast.
solution:3×mito= chloroplast
3 × 0.00000031
=0.00000091
= chloroplast
= 9.1 × 10^-7m
the imprecise diameter of the chloroplast is 9.1 × 10^-7m.
Find the surface area of the rectangular prism (above) using its net (below).
Answers
Answer:
68
Step-by-step explanation:21+6+6+14+21=68
Answer:
82
Step-by-step explanation:
Calculate the area of each part and sum them up
S= 7x3+7x2+7x3+2x3+2x3+7x2
42+28+12
=82
hope this helps!
Solve the system of equations.
−10x+3y=5
x=y−4
Answers
Answer:
Hope the pictures will help you..
Step-by-step explanation:
-10(y-4)+3y=5
-10y +40+3y =5
-7y = -40 +5
-7y=-35
7y = 35
{y= 5}
--------------
y=5
x=y-4
x=5-4
{x=1}
can somebody explain this to
Answers
Check the picture below.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]
GIVING BRAINLIEST!! need this rlly soon thank you so much!
Answers
Answer:
Large - PR - 15 and QR - 9 Missing degrees is P - 37
Small - Missing degree is 53
They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.
Step-by-step explanation:
Pythagorean theorem
At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.
What method of sampling was used to choose these people?
Answers
Answer:
random sampling
Step-by-step explanation:
There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.
(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)
Answers
Answer:
Step-by-step explanation:
y = - 7x ......... (1)
- 14x - 2y = 0 ....... (2)
- 14x - 2y = 0 ⇒ y = - 7x
(1) and (2) are equivalent ⇒ system has infinitely many solutions
What is the answer?
Answers
[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]
Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?
Answers
Answer:
96 inches
Step-by-step explanation:
66 + 30 = 96
a pentagon is shown what is the area, in square inches of the pentagon
Answers
=========================================================
Explanation:
Along the top row, label the two triangles A and B.
In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.
To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.
Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.
The rectangle D has an area of base*height = 4*5 = 20 square inches.
-----------------------
We have these areas:
Triangle A = 6 square inchesTriangle B = 6 square inchesTriangle C = 2.5 square inchesRectangle D = 20 square inchesTriangle E = 2.5 square inchesTo wrap things up, add up those areas
A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches
Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?
Answers
Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
What is the area under the normal curve between the z-scores of −1 and 0?
Enter your answer as a decimal, rounded to the nearest hundredth, like this: 0.42
Answers
Answer:
0.34
Step-by-step explanation:
You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.
area = 68%/2 = 34% = 0.34
__
Your calculator can tell you the same thing.
The domain of a function g(x) is x< 2. and the range is y > 0. What range the domain and range of its inverse function, g[tex]g^-1[/tex](x)?
Answers
Answer: the answer is b
Step-by-step explanation:
Domain and ranges of inverse functions are swapped.
Domain of the original is the range of the inverse and vice versa.
Which of the following is in standard form of quadratic?
Answers
Answer:
I think C and D options can be correct
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
I think C and D options can be correct
Step-by-step explanation:
HELPPPP ME PLEASE 50 POINTS PLUS brainly
Answers
Answer:
input: 1 2 6 18
output: 5 10 30 90
Step-by-step explanation:
18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}
Answers
Answer:
using quadratic formula check the attachment
Simplify 13 < z +5
Solve the inequality for z
Answers
First of all, subtract 5 from both sides:-
13-5<z+5-5
13-5<z
8<z
Since 8 is less than z, z is greater than 8:-
[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]
Hence, all the numbers greater than 8 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Let's solve your inequality step-by-step.
13<z+5
Step 1: Flip the equation.
z+5>13
Step 2: Subtract 5 from both sides.
z+5−5>13−5
z>8
Answer:
z>8
Step-by-step explanation:
Of 11 possible books you plan to take 4 with you on vacation how many different collections of 6 books can you take
Answers
The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
Here, in the original problem, the number of book selection is6.
Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.
The total number of books=11.The total number of selection of book=6.Thus, the number of combination to select 6 books collection from 11 is,
[tex]^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462[/tex]
Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.
Learn more about the combination here;
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SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER
Answers
Answer:
$38.1 billion
Step-by-step explanation:
S - 1.5x = 5.1
x = 2020 - 1998
x = 22 years
S - 1.5(22) = 5.1
S = 5.1 + 33
S = 38.1
I hope this helps!
Answer:
38.1 billion dollars.
Step-by-step explanation:
2020 - 1998 = 22 years, so
S - 1.5(22) = 5.1
S = 5.1 + 1.5(22)
S = 5.1 + 33
= 38.1.