Answer:
a
Step-by-step explanation:
all angles of an equilaterall triangle are equal therefore 180÷3 = 60
whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000
Answer:
249,842
Step-by-step explanation:
to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power
12^5 + 1 + 9 + 1000
248,832 + 1 + 9 + 1000
248,832 + 1010 = 249,842
go to gauthmath's sub reddit if needing more things ^^
Answer: 249842
Step-by-step explanation: when 12 multiplies it self 5 times
[tex]12^{5}[/tex]
=248832
Addition of 1,9 and 1000
=1 + 9 + 1000
=1010
Sum total = 248832 +1010
=249842
OR
12×12×12×12×12+1+9+1000
=249842
The number of students in an school building that have the flu after t days is given by the function
()=800/1+49^−0.2
a) What was the initial number of students infected (think about what time is initially).
b) When will the number of students infected be equal to 200?
Round all of your answers to the NEAREST whole number and be sure to label your answers.
Step-by-step explanation:
[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]
[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]
What is the probability that an event is certain to occur?
Answer: 1
Explanation: An event whose occurrence is 100% sure, those events are called certain events.
The probability of such an event is always 1.
Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.
Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.
Answer:
I don't think so
Step-by-step explanation:
the length of the newspaper page=36cm
the advert will take 1/3 of the page=1/3*36=12
so the advert takes12 cm and he says it has to be 11 cm which is not right .
I hope this helps
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
Answer:
Area of the slice of pie = 22.09 ft²
Step-by-step explanation:
Area of the slice of pie = Area of the sector of the circle with the central angle 45°
Area of the sector = [tex]\frac{\theta}{360^{\circ}}(\pi r^{2} )[/tex] [Here, r = radius of the circle]
= [tex]\frac{45^{\circ}}{360^{\circ}}(\pi )(\frac{15}{2})^2[/tex]
= 22.09 ft²
Area of the slice of pie = 22.09 ft²
Answer:
22.08ft^2
Step-by-step explanation:
A = πr^2(x/360) d = 15
Since r is half of diameter this means that r = 15/2 =7.5
so Lets use the Area of Sector formua
A =3.14(7.5)^2 (45/360)
A =3.14(56.25) (45/360)
A = 176.625 (45/360)
A = 176.625 (0.125)
A = 22.078125
rounded to the nearest 10th would make it 22.08
The Large square represents one whole.
3.74 - 1.53 = ?
Answer:
2.21
Step-by-step explanation:
If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)
====================================================
Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.
Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Answer:
Step-by-step explanation:
Intersection means that the sets have terms in common
(5, 14, 22) are the common terms.
Answer:
A ∩ B = { 5,14,22}
Step-by-step explanation:
Intersection is where the two sets meet, or what they both have in common
Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Set A intersect B has 5 , 14 and 22 in common
A ∩ B = { 5,14,22}
Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
Learn more about similar triangles
here: https://brainly.com/question/14285697
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multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
please answer this!!
Answer:
b
Step-by-step explanation:
tan equal to (opposite side) /(adjacent side)
am not able to write root 3 on phone but its something like this
(a¤3)/a
in which¤3 is root 3
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Find the length of x. Assume the triangles are similar.
A. 2.5
B. 4.4
C. 4.0
D. 3.5
Answer:
the answer is get to be D-3.5
Determine if the following conjecture is valid.
Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.
Conclusion: Mandy gets a bonus.
Answer:
Not valid
Step-by-step explanation:
Because 12 is minor than 15
The conjecture is not valid.
Mandy not gets a bonus.
Given that:
If a computer sales person sells at least 15 computers in a week, then she gets a bonus.
Maddy sells 12 computers in a week.
Conclusion: Maddy gets a bonus.
We have to check the conjecture is valid or not.
What is Conjecture?
A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.
Now,
Here, if a person sells 15 or more computers in a week, she gets a bonus.
Maddy sells 12 computers in a week, which is less than 15.
So, Maddy did not get a bonus.
Learn more about conjecture visit:
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help me with this question math please
Answer:
42.94$ is the answer.....
A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!
Answer: 100 cell phones.
Step-by-step explanation:
The worker makes 2.5 phones an hour. 2.5 x 40 = 100.
What is the length of AC
Answer:
x=9 ⇒AC=24
Step-by-step explanation:
vì DE//B C⇒ΔABC Tương ung ti tỉ lệ vớiv ΔADE
⇒DB/AB=EC/AC
⇒AC=(EC.AB)/DB
⇒AC=24
Whats the answer
HURRY IM BEING TIMED
Answer:
(C.
I THINK-
Step-by-step explanation:
The last four years of stock returns are as follows: Year 1 is -4% Year 2 is +28% Year 3 is +12% Year 4 is + 4% (a). What is the average annual return?
Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant
Answer:
To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.
Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.
Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.
What is the distance from the plane
Answer:
here's the answer to your question about
In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.
The cosine of the acute angles are 0.80 and 0.60 respectively
The given parameters are:
[tex]Leg\ 1 = 4x[/tex]
[tex]Leg\ 2 = 3x[/tex]
[tex]Hypotenuse = 5x[/tex]
Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]
The cosine of the acute angles is calculated using:
[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]
[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]
So, the formula becomes
[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]
[tex]\cos(\alpha) = \frac{4}{5}[/tex]
[tex]\cos(\alpha) = 0.80[/tex]
and
[tex]\cos(\beta) = \frac{3x}{5x}[/tex]
[tex]\cos(\beta) = \frac{3}{5}[/tex]
[tex]\cos(\beta) = 0.60[/tex]
Hence, the cosine of the acute angles are 0.80 and 0.60 respectively
Read more about cosines at:
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Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW
Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
At a particular school, all students participate in at least one out of three activities: debate, music, and community service. 3 students do all three activities, 21 students do two or more activities, half of all students participate in music, and the ratio of participants in debate, music, and community service, respectively, is $5:4:3$. What is the total number of students at the school
Answer:
48
Step-by-step explanation:
The given parameters are;
The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services
The number of students that do all three activities = 3
The number of students that do two or more activities = 21
The number of the students that participate in music = Half of the students
The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3
Let x represent a common number factor of participants in each of the given three activities, we have;
5·x participate in debate, A
4·x participate in music, B
3·x participate in community service, C
We get;
The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C
Given that the number of students that do two or ore activities = 21, we have;
(A∩B)∪(A∩C)∪(B∩C) = 21
However, we have;
(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C
∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3
(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27
∴ -(A∩B) - (A∩C) - (B∩C) = -27
Therefore;
A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3
5·x + 4·x + 3·x - 27 + 3 = 12·x - 24
The total number of students = A∪B∪C = 12·x - 24
The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2
∴ 4·x = (12·x - 24)/2
8·x = 12·x - 24
12·x - 8·x = 24
4·x = 24
x = 24/4 = 6
The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Step-by-step explanation:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
See screenshot below
Answer:
cos theta = -1/ 2
Step-by-step explanation:
sin theta = -sqrt(3)/2
Drawing a triangle
We know sin theta = opp/hyp
We can determine the adj side using the Pythagorean theorem
a^2 + b^2 = c^2
adj^2 + (-sqrt(3))^2 = 2^2
adj^2 +3 = 4
adj^2 = 4-3
adj ^2 =1
Taking the square root of each side
adj = 1
We know that since it is in the third quadrant the adj side is negative
adj = -1
cos theta = adj / hyp
cos theta = -1/ 2
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]
equating corresponding value
opposite=-[tex]\sqrt{3}[/tex]
hypoyenuse=2
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
2²=-[tex]\sqrt{3²}[/tex]+x²
4=3+x²
x²=4-3
x=[tex]\sqrt{1}=1[/tex]
x=-1
In third quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]