Answer:supplementary
Step-by-step explanation:
Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.
If a quadrilateral is inscribed in a circle, opposite angles are congruent.
The values of x and y are 98 and 112 degrees respectively.
How to find the angles of a quadrilateral?
When a quadrilateral is inscribed in a circle, opposite angles are supplementary angles.
Therefore, the angles of the cyclic quadrilateral are as follows:
x + 82 = 180
x = 180 - 82
x = 98 degrees.
y + 68 = 180
y = 180 - 68
y = 112 degrees.
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Evaluate 5 12 × 3 4 Give your answer in its simplest form.
Answer:
5/16
Step-by-step explanation:
5/12 × 3/4
Multiply.
15/48
Simplify.
5/16
find the surface area of sphere please help me i’ll give u brainlest
Answer:
[tex]Surface Area = 84.9 cm^2[/tex]
Step-by-step explanation:
Surface Area = [tex]4\pi r^2[/tex]
Putting r = 2.6 cm
SA = 4(3.14)(2.6)²
SA = 4(3.14)(5.76)
SA = 84.9 cm²
Answer:
[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]
*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?
Answer:
(-2, 0) and (0, 4)
Step-by-step explanation:
The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)
ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5
Answer:
The answer is A.
This is because adding 5 to both sides of the original equation gives us A.
An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is equivalent equations?"The equations that have the same answer or solution."
For given question,
We have been given an equation 3r = 90 - 5
We know that the addition property of equality which states that when the same quantity is added to both sides of an equation, the equation does not change.
⇒ 3r = 90 - 5
Add 5 on the both the sides of the equations.
⇒ 3r + 5 = 90 - 5 + 5
⇒ 3r + 5 = 90 + 0
⇒ 3r + 5 = 90
Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
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I’ll give brainliest to whoever helps me answer this question correctly.
Answer:
[tex]\sqrt[12]{x}^8[/tex], The 3rd answer
Step-by-step explanation:
When you exponent an exponent, you multiply the 2 exponents together.
Step 1: Rewrite [tex]\sqrt[3]{8}[/tex] to exponential form
[tex](8^{1/3})^{{1/4x}[/tex]
Step 2: Multiply exponents
[tex]8^{1/12x}[/tex]
Step 3: Rewrite as radical
[tex]\sqrt[12]{8}^{x}[/tex]
And we have our answer!
Answer:
[tex] \sqrt[12]{8}^x [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{8}^{\frac{1}{4}x} = [/tex]
[tex]= (8^{\frac{1}{3}})^{\frac{1}{4}x}[/tex]
[tex] = 8^{\frac{1}{3} \times \frac{1}{4}x} [/tex]
[tex] = 8^{\frac{1}{12}x} [/tex]
[tex] = \sqrt[12]{8}^x [/tex]
The owners of a motel in Florida have noticed that in the long run, about 40% of the people who stop and inquire about a room for the night actually rent a room. (a) How many inquires must the owner answer to be 99% sure of renting at least one room? inquiries (b) If 20 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals? inquiries
Answer:
(a) n = 9 inquiries
The owner must answer 9 inquiries to be 99% sure of renting at least one room.
(b) E(x) = 8 inquiries
Therefore, the expected number of inquiries that will result in room rentals is 8.
Step-by-step explanation:
The given problem can be solved by Binomial distribution.
Let x be the people who stop and inquire about a room for the night actually rent a room.
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
(a) How many inquires must the owner answer to be 99% sure of renting at least one room?
For the given case, we have p = 0.40 and we want to find n such that
P(x ≥ 1) = 0.99
we know that
P(x ≥ 1) = 1 - P(x < 1)
P(x ≥ 1) = 1 - P(x = 0)
So,
1 - P(x = 0) = 0.99
P(x = 0) = 1 - 0.99
P(x = 0) = 0.01
For x = 0 and p = 0.40
P(x = 0) =(ⁿC₀) (0.40)⁰ (1 - 0.40)ⁿ⁻⁰
0.01 = (1)(1)(0.60)ⁿ
0.01 = 0.60ⁿ
ln(0.01) = ln(0.60ⁿ)
ln(0.01) = n ln(0.60)
n = ln(0.01)/ln(0.60)
n = 9.01
Rounding off to nearest whole number
n = 9 inquiries
Therefore, the owner must answer 9 inquiries to be 99% sure of renting at least one room.
(b) If 20 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals?
The expected number of inquiries is given by
E(x) = n×p
For the given case, we have n = 20 and p = 0.40
E(x) = 20×0.40
E(x) = 8 inquiries
Therefore, the expected number of inquiries that will result in room rentals is 8.
What is the quotient of the division?
742 ÷ 7 = ?
16
61
106
116
Answer:
c, 106
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
pls mark as brainliest
Answer this please thanks
Answer:
m∠BOC = 60°
Step-by-step explanation:
Step 1: Find x
7x + 30 + 9x + 42 = 104
16x + 72 = 104
16x = 32
x = 2
Step 2: Plug x into ∠BOC equation to find m∠BOC°
9(2) + 42
18 + 42 = 60
Any answers can any one find them put plz
Answer:
p=-4/3+q/3
Step-by-step explanation:
Answer:
p =q-4/3
Step-by-step explanation:
q-2p =p+4
q= p+4+2p
q =4+ 3p
q-4 =3p
p =q-4/3
What is the solution to the system of equations?
Answer:
(7, 13/3)
Step-by-step explanation:
[tex]y=\frac{1}{3} x+2\\[/tex] Line up the equations on top of each other
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-4*[y=\frac{1}{3} x+2][/tex] Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable
[tex]-4y=-\frac{4}{3} x-8[/tex] Switch out the first equation for this one
[tex]-4y=-\frac{4}{3} x-8[/tex] Line up the equations
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-3y=-13[/tex] Add the two equations top to bottom, left to right
[tex]y=\frac{13}{3}[/tex]
Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:
The first equation has smaller numbers, so let's use that one.
[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]
To make it easier you can multiply all the terms in the equation by 3:
[tex]13=x+6[/tex]
[tex]7=x[/tex]
The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )
34:45:63 = x:90:126
What is x?
Answer:
x = 68
Step-by-step explanation:
If you divided 90 by 45, you can see that the 1st ratio has been multiplied by 2 to get the second ratio. To get x, simply multiply 34 by 2 and you should get 68
Answer:
68
Step-by-step explanation:
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = [tex](\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})[/tex]
OP.Cosθ = 1×Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
θ = [tex]\frac{\pi }{4}+2\pi n[/tex], [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -[tex]\frac{1}{\sqrt{2}}[/tex]
Sinθ = -[tex]\frac{1}{\sqrt{2} }[/tex]
θ = [tex]\frac{5\pi }{4}+2\pi n[/tex], [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integer
Common value of θ will be, θ = [tex]\frac{7\pi }{4}[/tex]
Option B will be the answer.
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
ANSWER ASAP FOR BRANETEST
Answer:
Step-by-step explanation:
[tex]5\frac{1}{4} =x[/tex]
[tex]3\frac{3}{4} =y[/tex]
x-y=?
so
?+y=x
which means
[tex]?+ 3\frac{3}{4} = 5\frac{1}{4}[/tex]
i hope this helps
What is 5/40 as a decimal?
Answer:
0.125
Step-by-step explanation:
Simplified:
1/8
Answer:
0.125
Step-by-step explanation:
if (5,k) is a solution of 2x+y-6=0,then find the value of k.
[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]
I will give you brainliest!!! Which equation describes the same line as y+5=3(x-6)?
Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
Find the difference 6/19-9/17
Answer:
-69/323
Step-by-step explanation:
6/19-9/17=6*17-19*9/19*17
=102-171/323
= -69/323
Does anyone know this answer
0 is the answer of questions
Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received. A. 7−c3 B. C−73 C. C−73 D. 7−c3
Answer : The expression will be
( c - 7 ) / 3
Step-by-step explanation:
Let's say Adam has c pieces of candy
He took ten pieces for himself which means we can write this as c-7
He then divided this amount between his 3 children (c-7)/3
Can someone help me with this please
Answer:
4.25
Step-by-step explanation:
Answer:
m = 4.25
Step-by-step explanation:
8/5 = 2/(m - 3)
Cross multiply.
8(m - 3) = 2 * 5
8m - 24 = 10
8m = 34
m = 4.25
PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?
Step-by-step explanation:
5f
5 + n times of a number
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
-5(x - 1) = 2x - 7x + 5
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
A swimming pool is open for 7\dfrac127 2 1 7, start fraction, 1, divided by, 2, end fraction hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours long. How many shifts are there per day?
Answer:
5 shifts
Step-by-step explanation:
The pool is open for 7 1/2 hours (15/2 hours) per day.
Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).
To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:
[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]
There are 5 lifeguard shifts per day.
Answer:
5
Step-by-step explanation:
At a petrol station , a driver 83.5 liters of fuel at 18.63 birr per liter. What was the bill?
Answer:
1555.61 birrs
Step-by-step explanation:
Perform this operation:
83.5 liters 18.63 birr
---------------- * ----------------- = 1555.61 birrs This was the total amount
1 1 liter of the bill.
Answer:
1,555.605
Step-by-step explanation:
per liter is 18.63 and the driver got 83.5 liters
the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate
it will give you 1,556
a hunter observes that the interval between a lightning flash and thunder clap that followed is 15 beat of his pulse. If his pulse rate is 75 per minute and sound in air is 330m/s, how far is the thunderstorm
Answer:
3600 m or 3.6 km
Step-by-step explanation:
The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:
15 beats * 60 seconds / 75 beats = 12 seconds
Therefore, we know that the velocity is equal to:
v = d / t
We know the time and the speed, therefore:
d = v * t
replacing
d = 300 * 12
d = 3600
is located at 3600 meters or 3.6 km
Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t
can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent
and dependent variables?
Answer:
independent: tdependent: dStep-by-step explanation:
In an equation of the form ...
variable = expression
we generally consider the variable on the left to be the dependent variable. The variable in the expression is the independent variable.
Here, the equation ...
d = 0.5 + 5t
suggests that the dependent variable is d; the independent variable is t.
Answer:
The independent variable is time and the dependent variable is distance.
State the interval where the median lies.
Answer:
it lies in the middle term in the arranged data set the medium class interval is corresponding were the medium Value falls
Step-by-step explanation:
I hope it will help
13 over 16 minus 3 over 8
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step explanation:
=> [tex]\frac{13}{16}-\frac{3}{8}[/tex]
LCM = 16
=> [tex]\frac{13-6}{16}[/tex]
=> [tex]\frac{7}{16}[/tex]
Answer:
7/16
Step-by-step explanation:
13/16 - 3/8
Lowest common multiple is 16.
= 13/16 - 6/16
Subtract the fractions.
= (13-6)/16
= 7/16