Answers
Answer:
[tex] \boxed{\stackrel{\Large\frown}{PQS}\:= 222°} [/tex]
Explanation:
Since [tex] \overline{PR} [/tex] is a diameter, arc [tex] \stackrel{\Large\frown}{PQR}\:= 180°. [/tex]
Given that [tex] \angle{SUR} = 42°[/tex] is a subtended central angle by two diameters,
[tex] \stackrel{\large\frown}{RS} \:= 42° [/tex].
Using the rule of arcs, [tex] \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} [/tex] →
[tex] 180° + \: 42° = \: \stackrel{\Large\frown}{PQS} [/tex]
[tex] 222° = \: \stackrel{\Large\frown}{PQS} [/tex]
[tex] \stackrel{\Large\frown}{PQS} \: = \: 222° [/tex]
Related Questions
"sports discount" has uniforms for 68$. They are offering a 20% discount on each uniform, and a 7 percent sales tax will be applied to the discount price. What would be the final cost for eight uniforms after the discount and sales tax
Answers
Answer:
58.208 times 8 equals 465.664 rounded down to 465.66
Step-by-step explanation:
Answer:
$465.66
Step-by-step explanation:
First, we are buying 8 uniforms. Therefore, the total price on a normal day would be 8x68 = $544
However, on this day, there is a 20% discount. In other words, we are only paying 80% of the original price as percentages are always out of 100.
The price after the sports discount will be 544x0.8 = $435.2
On top of this, we have to pay a sales tax of 7 percent. The 7 percent is an additional cost to the discounted price of 435.2, hence we add 0.07 (7 percent in decimals) onto 1 (100% in decimals).
This gives us 435.2 x ( 1 + 0.07 ) = 465.664.
Because currency is to 2 decimal points (1 cent), the final answer will be 465.66, or 465 dollars and 66 cents.
Question Help The temperature in a greenhouse should be 70 degrees or higher. One morning, the heater stopped working. The temperature dropped 5 degrees before someone fixed the heater. The temperature was still at least 70 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working? I need help please
Answers
Answer:
the temperature was still suitable for the greenhouse
Step-by-step explanation:
Solve the following problems using Elimination.
NO LINKS PLS-
8x - 5y =-18
2x + 5y = 58
Answers
9514 1404 393
Answer:
(x, y) = (4, 10)
Step-by-step explanation:
The coefficients of y are opposites, so the y-terms can be eliminated by adding the equations.
(8x -5y) +(2x +5y) = (-18) +(58)
10x = 40 . . . . . . simplify
x = 4 . . . . . . . . . divide by 10
Substituting this into the second equation gives ...
2(4) +5y = 58
5y = 50 . . . . . . . . subtract 8
y = 10 . . . . . . . . . .divide by 5
The solution is (x, y) = (4, 10).
Check if (1,6) is the solution to the system shown below.
Answers
Answer:
NO it is not
Step-by-step explanation:
To check that, we will need to substitute the value of each of the coordinates in each of the equations
10x-y = -6
substitute 1 for x and 6 for y
we have this as;
10(1)-6 = 4
Outrightly, we can see that the given point is not a solution to the given system of equations
however, let us confirm for the second
We have this as;
-10(1) + 5(6)
= -10 + 30 = 20
so we can confirm that it does not work for any of the two and our answer is NO
what is 5/6 divided by 1/6 in simplest form
Answers
Answer:
5 is the answer
Step-by-step explanation:
⅚÷⅙
5/6*6/1
5
The hanger image represents a balanced equation (look at picture)
Answers
Answer:
A) [tex]27 = b + 9[/tex]
[tex]b=18[/tex]
Step-by-step explanation:
When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:
[tex]27 = b + 9[/tex]
Use inverse operations to solve this equation,
[tex]27 = b + 9[/tex]
[tex]-9[/tex]
[tex]18 = b[/tex]
Find (g • f) (3)
f(x) = |x+2|
g(x) = -x^2
a. -25
b. 1
c. 4
d. -15
Answers
Step-by-step explanation:
Given
f(x) = |x + 2|
g(x) = - (x)²
Now
(g•f) (3) = g ( 3 + 2 )
= g(5)
= - (5)²
= -25
Hope it will help :)
Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.
Answers
Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form.
It is used in asset (stock) valuation. It is used in bond trading and mortgage calculations.
SO for this one I'm thinking C but i'm not sure
Answers
Answer: A
Step-by-step explanation: I would say A, because on the left, you have your domain, and the right is your range and codomain.
-4,1,7,15
A student in a chemistry lab has access to two acid solution .The first solution is 20% acid and the second is 45% acid .(the percentage are by volume). How many milliliters of each solution the student mix together to obtain 100 ml of a 30% acid solution?
Answers
Answer:
x = 20% acid = 60 ml
y = 45% acid = 40 ml
Step-by-step explanation:
Let
x = 20% acid
y = 45% acid
x + y = 100 (1)
.20x + .45y = .3 ×100
.20x + .45y = 30 (2)
From (1)
x + y = 100 (1)
x = 100 - y
Substitute x = 100 - y into (2)
.20x + .45y = 30
.20(100 - y) + .45y = 30
20 - .20y + .45y = 30
- .20y + .45y = 30 - 20
.25y = 10
y = 10/.25
y = 40 ml
Substitute y = 40 into (1)
x + y = 100
x + 40 = 100
x = 100 - 40
x = 60 ml
x = 20% acid = 60 ml
y = 45% acid = 40 ml
To solve x^2+5x=0, mia rewrote the equation as x(x+5)=0. Explain how rewriting this equation in factor form enable mai to solve the equation.
Answers
The solution to the equation x² + 5x = 0 is x = 0 or x = -5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 5x = 0 be equation (1)
Now , on simplifying the equation , we get
On factorizing the equation , we get
Taking the common factor x ,
x ( x + 5 ) = 0
Now , x can take 2 values which will satisfy the given equation
when x = 0 or ( x + 5 ) = 0
when x = 0
Substitute the value of x in the equation , we get
0 ( 0 + 5 ) = 0
0 = 0
The equation is true when x = 0
And ,
when ( x + 5 ) = 0
Subtracting 5 on both sides of the equation , we get
x = -5
when x = -5
-5 ( -5 + 5 ) = 0
-5 x 0 = 0
0 = 0
The equation is true when x = -5
Hence , the solution is 0 , -5
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Will give brainliest if it is correct!
Answers
Answer:
(-5, 1)
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
[tex] - x - 4 = \frac{3}{5} x + 4[/tex]
Solve − x −4 =35x + 4 for x.
[tex]x = - 5[/tex]
Evaluate y when x = −5.
[tex]y = 1[/tex]
hence, the system of this equation is (-5, 1).
Camille is attending a fundraiser. She pays for her admission and buys several raffle tickets.
The function S = 5r + 13 represents the total amount of money she paid, S.
and the number of tickets she bought, r. Which is a correct statement?
Camille paid total of $18 at the fundraiser.
The admission was $5.
Camille bought 13 tickets.
The admission was $13.
Answers
Answer: S=5r+85 i think try it out
Step-by-step explanation:
Answer:
The second statement.
Step-by-step explanation:
The function S = 5r + 13 means that the Total = 5 * Tickets + 13 Admission
So if Camille bought 13 tickets, the + 13 at the end means that no matter what, she had 13 dollars admission.
Kelly has two dogs, Pixie and Fifi.
Pixie weighs 8.5 kilograms
Fifi is 720 grams lighter than Pixie.
Work out how much Fifi weighs.
Answers
Answer:
7.78 kilograms
Plz solve this is for a test and I have a f soooo-
Answers
The answer is 12/2, well that's what I got.
Either way this question might get deleted so yeah
12
Step-by-step explanation:
12 divided by 2 is 6. so this would be the answer.
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 greens?
Answers
Answer:
the probability of getting 2 greens is 2/13
Step-by-step explanation:
HELP ASAP
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet.
A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees.
What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth.
35.4°
44.7°
45.3°
54.6°
Answers
Answer:
The correct angle is 45.3°
Step-by-step explanation:
Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.
Can someone please help me please
Answers
Answer:
the answer is 50 square ft bc i counted the squares and i got 50
Step-by-step explanation:
Answer:
i think it would be C
Step-by-step explanation:
just add all the squares
Write 5/36 as a decimal
Answers
Answer:
0.138
Step-by-step explanation:
Answer:
0.388888888888
Step-by-step explanation:
take 36 to the nearest hundred.
times the numerator with the same number
and convert
A new iPhone cost $829 and is on sale at a 25% discount. What is the sale price.
Answers
Answer:
621.75
Step-by-step explanation:
Hope this helps!!!
Determine the min value of y=18cos(10θ) Enter only the numeric value
Answers
Answer:
look at this
o(*≧□≦)o
Step-by-step explanation:
MATH-WAY
Answer:
I dunno.... like 29876?
Step-by-step explanation:
Triangle ABC is a right triangle. The lengths of the legs are 60 centimeters and 80 centimeters.
What is the length, in centimeters, of the hypotenuse?
Answers
Answer:
69.28 cm
Step-by-step explanation:
i used a calculator but the steps you take to solve this are...
1. Multiply the length of one side by the length of the other.
80x60 = 4,800
2. Square that number to get the hypotenuse
[tex]\sqrt48000[/tex]
3. You've got your answer
(69.28)
Answer:
100 cm
Step-by-step explanation:
<3
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answers
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
Work out the value of 22 - 2y when
y = 10
10 X 2 = 20
22-20= 2
Answer = 2
Answers
Answer:
2
Step-by-step explanation:
22 - 2y
= 22 - 2 ( 10 )
= 22 - 20
= 2
Help again please Don’t get it at all
Answers
Answer:
hi
Step-by-step explanation:
Answer:
42 degrees
Step-by-step explanation:
the other angles are 90 and 48
Please help its due soon ill give brainlest
Answers
Answer:
r ≈ 7.80 yd
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 49 , then
2πr = 49 ( divide both sides by 2π )
r = [tex]\frac{49}{2\pi }[/tex] ≈ 7.80 yd ( to the nearest hundredth )
Connor is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?
Answers
Answer:
you can organize them 24 different ways
The different ways can he line the textbooks up on his bookshelf is 24
What is fundamental counting principle?The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.
Given that, Connor is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook.
The number of ways to arrange n things = n!
Number of different books = 4
Number of different ways to arrange 4 different books =4!
Number of different ways to arrange 4 different books= 4 x 3 x 2 x1
Number of different ways to arrange 4 different books = 24
Hence, the different ways can he line the textbooks up on his bookshelf = 24
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Find the 8th term of the arithmetic sequence -5x+3, x+9, 7x+15, ...
Answers
Answer:
Step-by-step explyou have a big brother or sister
Se 15% de um rebanho bovino são bois e o restante são vacas, qual é o total de cabeças desse rebanho, se há 17.000 vacas?
Answers
Responder:
20.000
Explicação passo a passo:
Dado que:
Porcentagem de bois no rebanho = 15%
Percentagem de vacas = (100 - 15)% = 85%
Número de vacas = 17.000
Por isso,
85% = 17.000
15% = x
Multiplicação cruzada
0,85x = 17.000 * 0,15
0,85x = 2550
x = 2550 / 0,85
x = 3000
Número de bois no rebanho = 3000
Portanto, número total de gado no rebanho =
3000 + 17000 = 20.000
If 4c + 10= 20 -16c, what is 8c?