Answers
Explanation: 180-122=58
Answer:
Step-by-step explanation:
The two adjacent angles must have a sum of 180
CED=180-122
CED=58 degrees
Related Questions
Express the given statement in the form of expression.
5 subtracted from three times any number.
Answers
Five minutes three is spare time, yet the “times any number” simply means to assign the unknown the variable of “x”.
A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long
Answers
Answer:
18 and 90
Step-by-step explanation:
If we express in units,
Long piece has 5 units
Short piece has 1 unit
total 6 units
108/6 = 18 inch
which is the length of 1 unit
short = 18 * 1
long = 18 *5
Help I don't understand this question at all
Answers
Answer:
(6)(5)(4) = 120
Step-by-step explanation:
For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have
6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Here is another way to picture it:
In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F
1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite
2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite
3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite
As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!
Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
What geometric
constructions can have a
perpendicular bisector?
Answers
Answer:
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
3 tons 600 ounces =
ounces
Answers
Answer:
3+78=81
Step-by-step explanation:
2+2
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
Answers
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 35% of all those making reservations do not appear for the trip.A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?B) If six reservations are made, what is the expected number of available places when the limousine departs?C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Answers
Answer:
a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
b) The expected number of available places when the limousine departs is 0.1.
c) [tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
Step-by-step explanation:
For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is given by:
[tex]E(X) = np[/tex]
The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.
This means that [tex]n = 6[/tex]
35% of all those making reservations do not appear for the trip.
This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]
A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]
[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]
0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
B) If six reservations are made, what is the expected number of available places when the limousine departs?
The expected number of arrivals is given by:
[tex]E(X) = np = 6*0.65 = 3.9[/tex]
Since the are four places:
4 - 3.9 = 0.1
The expected number of available places when the limousine departs is 0.1.
C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
This is the probability of each outcome. So
[tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
A shipment of tile cost $64,500.
Each tile costs 15 dollars.
How many pieces of tile are in the shipment?
A.430
B.1,290
C.4,300
D.8,600
Answers
Answer:
The answer is C. 4,300
Answer explanation :
Answer: C. 4,300
Steps:
64,500 / 15 = 4,300
Check:
15 * 4,300 = 64,500
64,500 = 64,500 ✅
I would appreciate the brainliest if this was helpful and correct! :)
write the equation of the center (2,5) and passes through the point (8,5)
Answers
Answer: varibles coffeeefishents exponets study then eat
Step-by-step explanation:
HELLLLPPPPPPPPPP ASAP
Answers
Answer:
5km
35 divided by 7 is 5
Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!
Answers
Answer:
i just want some friends
Step-by-step explanation:
5x^2+ 15x – 140 = 0
Solve for x
Answers
Answer:
x = 4, -7
Step-by-step explanation:
1) Factor out the common term 5.
[tex]5( {x}^{2} + 3x - 28) = 0[/tex]
2) Factor x² + 3x - 28.
[tex]5(x - 4)(x + 7) = 0[/tex]
3) Solve for x.
x = 4, -7
Therefor, the answer is x = 4, -7.
Answer:
x = 4, -7
Step-by-step explanation:
1. Solve the equation using the quadratic formula
The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]
in which A, B, and C are numbers (or coefficients), as follows:
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
2. Determine the quadratic equation’s coefficients A, B, and C
The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:
A = 5
B = 15
C = -140
3. Plug these coefficients into the quadratic formula
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
Calculate the expression inside the parentheses.
Simplify exponents and square roots.
[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]
Perform any multiplication or division, from left to right.
[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{10}[/tex]
to get the result:
[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]
4. Simplify square root
Simplify 3025 by finding its prime factors.
3025
/ \
/ \
5 605
/ \
/ \
5 "121"
/ \
/ \
11 11
The prime factorization of 3025 is 5² • 11²
Write the prime factors.
[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11
Group the prime factors into pairs and rewrite in exponent form.
√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]
Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.
[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11
5 • 11 = 55
5. Solve the equation for x
x = [tex]\frac{-15+55}{10}[/tex]
The ± means two answers are possible:
x = 4
or
x = - 7
What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.
What is the answer rounded to the nearest tenth?
Answers
Answer:
W = 882 N
Step-by-step explanation:
Given that,
The weight of a person, W = 90 kg
The value of acceleration due to gravity, g = 9.8 m/s²
We need to find the weight of the person on Earth. The formula for the weight of an object is given by :
W = mg
Substitute all the values,
W = 90 kg × 9.8 m/s²
W = 882 N
So, the weight of the person is equal to 882 N.
Pls answer quick and small explanation quick for brainlessiest answer
Answers
Answer:
Your answer is C.
exponential is to the power of a value and hence c meets the requirements
If n = 5, which of the following is not equivalent to 24?
Answers
Answer:
there is no picture?
Step-by-step explanation:
help I keep getting it wrong
Answers
Answer:
what?????????????????????????
Answer:
What do you need help with?
Step-by-step explanation:
ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)
Answers
Step-by-step explanation:
speed = distance/time
speed = 871÷13
speed = 67 mph
distance = speed x time
distance = 67mph X 9hrs
distance = 603 m
Answer:
603miles
Step-by-step explanation:
871=13
?=9
cross multiply
871x9=13?
7839=13?
7839/13=13?/13
603=?
?=603
A box contains orange balls and green balls. the number of green balls is 10 more than 2 times the number of orange balls. if there are 64 balls all together, then how many green balls and how many orange balls are there in the box
Answers
Answer:
52 green, 15 orange-Please mark brainliest hope this helped!
Step-by-step explanation:
g + o = 67 g = green, o = orange, x = total
g = 3o + 7
use substitution: (3o + 7) + o = 67
solve for o:
4o + 7 = 67
4o = 60
o = 60/4 = 15
solve for g:
g + 15 = 67
g = 52
Here is a weather thermometer. Three of the numbers have been left off.
What numbers go in the boxes?
Answers
Answer:
Step-by-step explanation:
i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly
Answers
Answer:
From least to greatest it is:
3.441, 4 4/9, 89/20, 4.93
. A pilot is flying over a straight highway. He determines the angles of depression to two mileposts to be 32° and 56°, as shown in the figure. The pilot is flying at an altitude of 25,000 ft. Find the distance between point A and point B. Round your answer to the nearest thousandth. [32 56° A B
Answers
Answer:
Step-by-step explanation:
tan(90-32)=25000/B and tan(90-56)=25000/A
B=25000/(tan(58)) and A=25000/(tan(34))
B-A=25000/(tan58-tan34)=27003ft
The distance between point A and point B is 23195 ft.
What is the Angle of Depression ?For an object below the level, the angle created by the line of sight and the horizontal plane is called the Angle of Depression.
It is given that
A pilot is flying over a straight highway.
the angles of depression to two mileposts to be 32° and 56°, as shown in the figure
The pilot is flying at an altitude of 25,000 ft.
Tan [tex]\rm \theta[/tex] = Height / (Distance of the point and the plane horizontally )
Tan 32 = 25 /x
x = 25000 / tan 32
x = 40064 ft
tan 56 = 25/x
x = 25000/tan 56
x = 16869 ft
the distance between point A and point B is 23195 ft.
To know more about Angle of Depression
https://brainly.com/question/13514202
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Misha needs 1.75 yards of green fabric per costume. He will make 13 costumes.
Misha needs____
yards of green fabric in all.
For the blank spaces above the options are 7.4, 14.75, 21, 22.75.
(Btw it’s not 7.4 I already tried that and it was wrong)
Answers
Answer:
22.75 is the correct answer
Answer:
wrong question sorry!
Step-by-step explanation:
Please select the best answer from the choices provided
Answers
Answer:
its 60
Step-by-step explanation:
go0gle
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answers
Answer:
36:64
Step-by-step explanation:
its simple just divde 36
there are 144 microscopes in boxes at a school. each box has 24 microscopes which equation could be used to find b, the number of boxes of microscopes at this school
A. 24+144= b
B. 144-b= 24
C. B divided by 24= 144
D. 24 x b= 144
Answers
Can anyone help with this question pleasee
Answers
Answer:
[tex] y = 1 [/tex]
Step-by-step explanation:
Given:
[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]
Apply the negative exponent rule
[tex] a^{3y - 5} = a^{-2} [/tex]
The bases will cancel each other
[tex] 3y - 5 = -2 [/tex]
[tex] 3y - 5 + 5 = -2 + 5 [/tex]
[tex] 3y = 3 [/tex]
[tex] \frac{3y}{3} = \frac{3}{3} [/tex]
[tex] y = 1 [/tex]
which statement is true?
Answers
Ben has 13 fewer beads than Jori. Ben has 27 beads.
How many beads does Jori have?
Answers
Answer: 40 beads
Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40
Answer:
40
Step-by-step explanation:
27 + 13 = 40
Been stuck on this for a while
Answers
Answer:
volume = 502.4 cm³
Step-by-step explanation:
volume = 4²π(10) = 160π = 502.4 cm³
x minus 32? i need answer ASAP
Answers
Answer:
x-32
Step-by-step explanation:
Answer:
X-32 :)
Explanation:
Put together an expression.