Answer:
20°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠C = 180° -∠E = 180° -160°
m∠BCD = 20°
Which of the following is a complex number?
Answer:
The correct answer is B.
In the figure, AC = 15 ft, m∠ABC = 60°, m∠ADC = 45°, and m∠AEC = 30°. Find each of the following measures. Show your work or explain your reasoning.
Answer:
a) BC = 8.66 feet
b) AD = 21.2134 feet
c) EC = 25.9785 feet
Step-by-step explanation:
a)
To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:
tangent(60) = AC / BC
1.7321 = 15 / BC
BC = 15 / 1.7321 = 8.66 feet
b)
To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:
sine(45) = AC / AD
0.7071 = 15 / AD
AD = 15 / 0.7071 = 21.2134 feet
c)
Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:
tangent(30) = AC / EC
0.5774 = 15 / EC
EC = 15 / 0.5774 = 25.9785 feet
if a circle has a circumference of 100 pi units what is its area
Step-by-step explanation:
We have,
Circumference of a circle is 100 π.
Formula for circumference is :
[tex]C=2\pi r[/tex]
r is radius of circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]
Formula for area of circle is :
[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]
the area of the circle is 2500π square units.
To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.
We can solve for the radius (r) as follows:C = 2 π r100 π = 2 π rr = 100 π / (2 π)r = 50 unitsSubstitute the radius (50 units) into the area formula:
A = π * (50 units)²A = π * 2500 units²A = 2500 π units²In ΔHIJ, i = 900 cm, ∠H=95° and ∠I=28°. Find the length of j, to the nearest centimeter.
Answer:
J=1607.77cm
Step-by-step explanation:
Answer:
1608
Step-by-step explanation:
You are taking a multiple choice test. There are 4 answer choices for each problem. You randomly guess on one. What is the probability, as a PERCENT, you will get it right?
1/4
75%
3/4
25%
NEED HELPP
Answer:25%
Step-by-step explanation: there is 4 choices and you pick one so it means 1/4 chance. You then got to put it in percent form and 1/4 is 0.25 but you then have to move the decimal twice to the right to get 25%
fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss?
Answer:
1/1
Step-by-step explanation:
SO the chances are 1/1, or 100%. There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.
The probability of getting heads only on the last toss of three tosses of a fair coin is 0.25 or 25%. This theoretical probability, according to the law of large numbers, tends to become closer to the observed frequency as the number of repetitions increases.
Explanation:The subject of this question can be classified under Mathematics. It falls under the area of probability, specifically the concept of binomial probability. When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting either outcome is 0.5. This is the theoretical probability based on the assumption that the coin is fair and unbiased.
Tossing the coin three times introduces eight possible combinations (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). Out of these, only two combinations (TTH, THT) yield heads (H) on the last toss alone.
Therefore, the probability of getting heads only on the last toss is the number of successful outcomes divided by the total number of outcomes, i.e., 2 out of 8 or 0.25 (25%). This probability is a theoretical probability that deals with long-term expectation and it tends to become closer to the observed or empirical frequency as the number of repetitions increases (law of large numbers).
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Point O is on line RS. Find the
measure of angle SOP.
Solution:
Answer:
104°
Step-by-step explanation:
a straight line is 180°, so subtract angle ROP(76°) from it to get angle SOP
Which statement best describes ionic bonding?
Answer:
Electrons are transferred from one atom to another
Step-by-step explanation:
I knoww
an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there are 90 grams of the element remainibg
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:the correct answer is 9
Step-by-step explanation:
Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%
Answer:
C. 3.25
Step-by-step explanation:
A was wrong I seen the real answer which was C
write an expression that represents "the product of 12 and n"
Answer:
12n
Step-by-step explanation:
12 * n= 12n
Answer:
12n
Step-by-step explanation:
You don't really need to do anything it's as simple as it can be!
Emery's blueberry farm can produce 535 bushels of blueberries in 2 days. At this rate, how many bushels of blueberries can Emery's farm produce in 9 days? A. 2,675 B. 1,872.5 C. 2,140 D. 2,407.5
Answer: THE ANSWER IS D 2,407.5
Step-by-step explanation:
For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429
Answer:
choice D.) 0.9429
Step-by-step explanation:
Given a Normal data set
mean u = 54
standard deviation s = 3.8
we want P( X > 48)
Standardize this probability so we can use Z-scores.
P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z > -1.5789)
so I look for P ( Z > 1.5789) = 0.0571
so P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429
Help plz will mark brainliest
Answer:
for 33 its C
Step-by-step explanation:
4 times blue parakeets is 4b
y=4 times blue parakeets so y=4b
Answer:
D.) [tex]y=\frac{1}{7} g[/tex]
Step-by-step explanation:
Yellow parakeets = y
Green parakeets = g
Blue parakeets = b
There are 7 times as many yellow as green, which leaves us with the following equation:
[tex]7y = g[/tex]
We also know that there are 4 times as many green as blue - but this is just a distractor, this equation is irrelevant!:
[tex]4g =b[/tex]
The proper equation to solve for is [tex]7y=g[/tex]!
To solve, we do the following:
[tex]7y = g\\*\frac{1}{7}\\y = \frac{1}{7} g[/tex]
Use fraction operations to compare the regions of Canada in 5 different ways. Make sure that one comparison has 3 or more operations, one comparison involves 2 operations, and each of the four operations is used somewhere.
The fractions are Atlantic = 1/18
West = ¼
Territories = ⅓
Quebec = ⅙
Ontario = 1/9
Answer:
1/3,1/6,1/4
Step-by-step explanation:
atlantic and ontario do not compare
the others do
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Alternative Text
A. 113.4 ft2
B. 140.4 ft2
C. 226.8 ft2
D. 631.8 ft2
Answer:
B. 140.4 square feet.Step-by-step explanation:
If all faces are equilateral, and they are all congruent, that means the surface area of the pyramid is formed by 4 equal triangles, including the base.
We just need to find the area of one triangle and then multiply it by 4.
According to the image, the height of a triangle face is [tex]h=7.8 \ ft[/tex], and its base is [tex]b=9 \ ft[/tex]. So, the area is
[tex]A=\frac{1}{2} (b \times h)[/tex]
[tex]A=\frac{1}{2}(7.8 \times 9) =35.1 \ ft^{2}[/tex]
Then, the total surface area of the pyramid is
[tex]S=4(35.1)=140.4 \ ft^{2}[/tex]
Therefore, the right answer is B. 140.4 square feet.
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red.
One fish is selected at random. Find the probability that it is a large, red fish.
Write your answer as a fraction in simplest form.
Answer: I would think 1/3
Step-by-step explanation:
If there are 10 large fish and half are red that would mean there is a 5/10 chance of getting a red fish from the large fish.. because there are 15 fish in total you would do 5/15 because there are 15 and 10 of those fish are large and 5 of the large fish are red. And 5/15 to its simplest form is 1/3! If this is right please give brainlist!
The probability of randomly selecting a large, red fish from an aquarium with 5 red large fish and 10 total large fish is 1/3.
Explanation:This question falls under the category of probability in mathematics. In the given aquarium, we have 10 large fish, 5 of which are red, and 5 small fish. That makes a total of 15 fish. So, when you randomly select one fish, you have 15 possible outcomes. If you want to select a large, red fish, you have 5 such fish in the aquarium. The probability of an event is calculated by dividing the number of desired outcomes by the total number of outcomes. Therefore, the probability of selecting a large, red fish from the tank is 5/15 which simplifies to 1/3, this is the fraction in simplest form that represents the probability.
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hi guys could you please help me with this problem?
Answer:
7
Step-by-step explanation:
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1. How long is a whales head?
its 1/3 of the length of its body
Answer:
Whales head
Step-by-step explanation:
1/3
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0: pequals0.515 Upper H 1: pnot equals0.515 Your answer is correct.B. Upper H 0: pequals0.515 Upper H 1: pgreater than0.515 C. Upper H 0: pnot equals0.515 Upper H 1: pequals0.515 D. Upper H 0: pequals0.515 Upper H 1: pless than0.515 Identify the test statistic for this hypothesis test.
The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.
Explanation:The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.
To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.
Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.
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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.
Explanation:The null and alternative hypotheses for this test are:
H₀: p = 0.515H₁: p ≠ 0.515The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)
Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)
Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.
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What is the distance between the point (-25, 10) and the origin?
Answer:
35
Step-by-step explanation:
The origin is (0,0). To get to it from (-25,10) you would add 25 which would get you to (0,10,). Then you subtract 10 to get you to the origin. 10+25=35
Can someone answer this plzz
Answer: 5
Step-by-step explanation:
6. The area of a rectangular painting is given by the trinomial x2 + 2x - 15. What are the possible (1 point)
dimensions of the painting? Use factoring,
Answer:
(x+5)(x-3) = x^2+2x-15
Step-by-step explanation:
since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2
Which geometric series converges? 1 5 + 2 5 + 4 5 + 8 5 + 1 5 + 6 5 + 36 5 + 216 5 +... 1 5 +2+20+200+ 1 5 + 1 20 + 1 80 + 1 320 +.
Answer:
D. 1/5 + 1/20 + 1/80 + 1/320
Step-by-step explanation:
Edge
Option D.) 1/5 + 1/20 + 1/80 + 1/320 is correct
Geometric progression is kind of progression that the ratio to the adjacent values always same.
ratio in every option is not same except option D. 1/5 + 1/20 + 1/80 + 1/320
i.e. (1/5)/(1/20) = (1/80)/(1/20)
Thus the Option D.) 1/5 + 1/20 + 1/80 + 1/320 is correct
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Who knows the correct answer to this???
Answer:
A. y = 3x + 1
Step-by-step explanation:
Slope-intercept form y = mx + b
m = slope
b = y - intercept
(Sorry forgot to put picture)
What is the value of x?
A. X=3
B. X=8.5
C. X=6.5
D. X=14
NEED HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c-5 inches
Step-by-step explanation:
please help me and please help me do it in a way i could understand :) ty
Also this one pls help
Answer:
Option 3
Step-by-step explanation:
Answer:
From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.
Step-by-step explanation:
helpppp me plz i need help
Answer:
The answer is D
Step-by-step explanation:
I learned this in school