Answer:
Step-by-step explanation:
One of the things you should keep in mind about parallel lines is that there are 8 angles in this configuration.
4 are equal to one value
and 4 other angles which are the supplements to the first four. If you know the value of one of the 8 angles, you know the value of the other seven.
So angles (8) 6 4 and 2 are all 82 degrees.
Angles 1 3 5 7 and all equal to 180 - 82 = 98
Number 8 is given as 82. It's the red number.
number 6 is vertically opposite number 8 so those two are equal
Number 6 is an alternate interior angle to 4. Those two are equal.
Number 2 is number 4s vertically opposite angle. The others are all done somewhat the same way.
Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?
Answer:
4,200
Step-by-step explanation:
Tenemos un total de:
4 libros de matemáticas
3 libros de biología
3 libros de religión
10 libros en total.
Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.
Primer libro (tenemos 10 opciones)
segundo libro (tenemos 9 opciones, porque ya colocamos un libro)
tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)
Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:
C = 10*9*8*7*6*5*4*3*2*1 = 10!
Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.
Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.
Entonces el número total de combinaciones diferentes es:
[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]
Hay 4200 diferentes formas de ordenar los libros.
Simplify the expression.
And could you explain how you got that answer please. Thanks
Answer:
125e^12x
Step-by-step explanation:
5^3*(e^4x)^3
5^3=125
(e^4x)^3=e^12x
125e^12x
The length of the rectangle is 8 feet. The area is 32 square feet. What is the width of the rectangle?
Answer:
it's four
8×4=32
Element X decays radioactively with a half life of 15 minutes. If therd are 230 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?
Answer: 42 minutes
Step-by-step explanation:
63 > -73
I need help plssss
Answer:
that statement is true
is this the answer you are looking for?
Answer:
True
Step-by-step explanation:
5(-7)+9(4) I am confused on this problem
Answer:
the answer is 1
Step-by-step explanation:
Answer:
It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1
-35+36=1
what is 52x – 9x + 123 = -143.6
The sum of brian's and rihanna's ages is 41. The difference between two times brian's age and rihanna's age is 13. How old is rhianna
Answer: 13?
Step-by-step explanation:
I need help under standing
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
Can someone help me real quick? I’ll give brainliest
In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.
If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?
Answer:
31.2
Step-by-step explanation:
Divide 4/15= 2.66
12x2.6= 31.2
This might be wrong..
FREE PTS! Who is your favorite character? (can be fictional or a real person)
Answer:
Yay!!!! Ty for the points!!!!!!!!!!!
I don't have a fav character....I luv BTS - they r real!!!
Please help! If you do I'll mark your answer 'Brainliest' and you will get 57 points!
Answer:
your answer is A.
Step-by-step explanation:
1280%20=256
256 x 45=115.20
hope this helps<3
Help please :):))))))))))))))
Answer: the 2nd box
Step-by-step explanation:
Find the area of the trapezoid.
12.5 cm
6 cm
17.5 cm
A. 90 cm2
B. 118.75 cm2
C. 130 cm2
D. 146.25 cm2
Answer: A.90 cm^2
Step-by-step explanation: A= a+b/2 h
A= 17.5+12.5/2 *6
A = 30/2*6
A= 15*6
A=90
Suppose the TRMS basketball team scored 78 points by 2-point and 3-point baskets only. If 35 total baskets were made, how many 2-point and 3-point baskets were scored?
Answer:
the number of 2 point and number of 3 point be 27 and 8 respectively
Step-by-step explanation:
Let us assume the number of 2 point be x
And, the number of 3 point be y
Now according to the question
2x + 3y = 78
x + y = 35
Multiply by 2 in equation (2)
2x + 3y = 78
2x + 2y = 70
y = 8
So,
x = 35 - 8
= 27
Hence, the number of 2 point and number of 3 point be 27 and 8 respectively
At a tournament, the bowling league is providing 160 sandwiches for its members.
The table shows the number of different types of sandwiches that were ordered.
The ratio of turkey sandwiches to roast beef sandwiches is 5:3.
Drag the numbers to complete the table.
Turkey: 80
Roast beef: ?
Vegetarian: ?
The number of beef sandwich is 48 and vegetarian sandwich is 32.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80
Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,
5x = 80
x = 16
Therefore, number of roasted beef sandwiches = 16 × 3 = 48
Total number of turkey sandwich and beef sandwich = 48 + 80 = 128
The number of vegetarian sandwich = 160 - 128 = 32
Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.
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find the circumference of a circle with an area of 1,134.11
Answer:C=2πA=2·π·1≈3.54491
Step-by-step explanation:
Answer:
119.32
Step-by-step explanation:
The formula for the area of a circle is:
A = πr², where π = 3.14 and r = radius
The formula for the circumference of a circle is:
C = 2πr, where π = 3.14 and r = radius
So, in order to solve for circumference, you need to solve for 'r'. Using the formula for area:
1134.11 = πr²
Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²
Take the square root of both sides: √361.2 = √r² or r≈19
Use the value of r = 19 to solve for circumference:
C = 2π(19) = 2(3.14)(19) = 119.32 meters
I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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0.73 recurring can be writeen as 11/15
Answer:
yes , see explanation
Step-by-step explanation:
We require 2 equations with the recurring 3 placed after the decimal point.
let x = 0.7333.. ( multiply both sides by 10 and 100 )
10x = 7.333... → (1)
100x = 73.333.... → (2)
Subtract (1) from (2) , eliminating the recurring 3
90x = 66 ( divide both sides by 90 )
x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]
What is an equation of the line that passes through the points (-4,-2)
and (8,1)?
Answer:
y=0.25x-1
Step-by-step explanation:
y=mx+b
slope = 0.25
y = 0.25x+b
the y intercept = -1
y = 0.25x+-1
y = 0.25x-1
32 is 4 more than twice a
number. What is the number?
Answer:
The number you are looking for is 14.
Ayo can y’all help? No rush but it’s 25 points with brainliest
You know the answer is the third choice (C) because 7^2 is 49 and 8^2 is 56, the two closest squared numbers to 54.
49 < 54 < 56
The square root of 54 is roughly 7.4
I hope that helps :)
Use the Pythagorean theorem to find
Answer:
13cm
Step-by-step explanation:
the formula for finding the hypotenuse is:
[tex]c=\sqrt{a^{2} +b^{2} }[/tex]
C is always the longest side of the triangle. In your question, it would be the side without any measurement.
It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.
Now just solve for C
C=[tex]\sqrt{12^{2} + 5^{2} }[/tex]
C=[tex]\sqrt{144+25}[/tex]
C=13
Therefore, the missing side is 13 cm
Please click the "helpful" button if i helped :)
Answer: 13cm I think
Step-by-step explanation:
A composite shape consists of a square with a semicircle sitting on top of it. The dimension of the square (which is
also the dimension on the half circle) is 20 yards. What is the area of this composite shape?
Answer:
40m i think
Step-by-step explanation:
What is the answer to my question? No links please. Urgent.
Answer:
57cm^3
i belive this is right.
Find the surface area of the triangular prism?
Answer:
Step-by-step explanation:
Surface area of a triangular prism
Height = 8cm
12cm
10cm
This given as:
S.A = B + Ph
One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.
What would happen to the width of the confidence interval if the confidence level increased to 95%?
Answer:
The width of the interval would increase.
Step-by-step explanation:
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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