Answer:
40°
Step-by-step explanation:
[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]
Angles inscribed in the same arc are equal in measure.
[tex]\implies m\angle UWV =m\angle UTV [/tex]
[tex]\implies 19x +21\degree =10x +30\degree [/tex]
[tex]\implies 19x -10x =30\degree-21\degree [/tex]
[tex]\implies 9x =9\degree [/tex]
[tex]\implies x =\frac{9\degree}{9} [/tex]
[tex]\implies x = 1\degree [/tex]
[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]
[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]
[tex]\implies 19x +21\degree= 40\degree[/tex]
[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]
solve for x – 3 + 2 < 10
x-3 + 2 < 10
x - 1 < 10 .... combine like terms
x-1+1 < 10+1 ... add 1 to both sides
x < 11 is the answer
If you need to graph it, then place an open circle at 11 on the number line. Shade to the left.
if x - 3 + 2 is less than 10 then you would solve this question like this,
x - 3 + 2 < 10
x -(3+3) + 2 < 10 + 3
x + 2 < 13
x +(2-2) < 13 - 2
x < 11
An expression is shown 3/5 divided by 5/8
Hey there!
In order to divide fractions, we should multiply the first fraction by the reciprocal of the second one.
let me clarify:
[tex]\bold{\displaystyle\frac{3}{5} :\frac{5}{8}}[/tex]
flop 5/8 over:
[tex]\bold{\displaystyle\frac{3}{5} :\frac{8}{5}}[/tex]
and now multiply
[tex]\bold{\displaystyle\frac{3}{5} *\frac{8}{5}}[/tex]
[tex]\bold{\displaystyle\frac{24}{25}}[/tex] (Answer)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model
P = 180 + 80x − 0.5x^2.
What expenditure for advertising yields a maximum profit?
Answer:
20 hundreds of dollars or 2,000 dollars
Step-by-step explanation:
idrk i think this is right but corect be if im wrong
what is the value of
[tex] \sqrt{(p { }^{2} } - 4q) \: if \: p = 6 \: and \: q = 5[/tex]
Answer:
4
Step-by-step explanation:
Given :-
p = 6
q = 5
√(p² - 4q)
To Find :-
Value of expression after evaluation
Solving :-
= √(6)² - 4(5)
= √36 - 20
= √16
= 4
Solution :-
4
Answer:
4
Step-by-step explanation:
Solving
Step 1: Plug in the values of p and q.
[tex]\sqrt{(6^2-4*5)}[/tex]Step 2: Solve exponents.
[tex]\sqrt{(6*6-4*5)}[/tex] [tex]\sqrt{(36-4*5)}[/tex]Step 3: Solve multiplication.
[tex]\sqrt{(36-20)}[/tex]Step 4: Subtract 20 from 36.
[tex]\sqrt{16}[/tex]Step 5: Solve square root.
[tex]\sqrt{16} = 4[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the
card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each
DVD?
Answer:
C (third answer choice)
Step-by-step explanation:
This is because there is money left over after she buys 4 DVDs, so each DVD must be less than $12.50 each, otherwise she would have spent at least $50 on them which is not what is being said.
Answer:
C
Step-by-step explanation:
I took test on edge :)
Write a quadratic function.
Answer:
[tex]\displaystyle y = x^2 + 6x + 12[/tex]
Step-by-step explanation:
To begin with, to define the stretch factour [tex]\displaystyle [A],[/tex]from the standard quadratic equation of [tex]\displaystyle y = Ax^2 + Bx + C,[/tex]find the rate of change between the vertex of [tex]\displaystyle [-3, 3][/tex] and either [tex]\displaystyle [-4, 4][/tex]or [tex]\displaystyle [-2, 4].[/tex]It really does not matter which ordered pair you choose to pair with the vertex because one result will be negative, and the other result will be positive, so it is as though you are taking the absolute value of the rate of change, but not entirely. Anyhow, let us get to wourk:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{2 - 3} \hookrightarrow \frac{-1}{-1} \\ \\ 1 = m[/tex]
OR
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{4 - 3} \hookrightarrow \frac{-1}{1} \\ \\ -1 = m[/tex]
So, both oppocite rate of changes tell you that the stretch factour of this quadratic function is [tex]\displaystyle 1,[/tex]ESPECIALLY sinse the graph opens upward.
Now, to determine the quadratic equation for this graph, you need to write this in vertex form first. Remember to base the equation off the vertex:
[tex]\displaystyle y = A[x - h]^2 + k \\ \\ y = [x + 3]^2 + 3[/tex]
So, −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, and sinse the vertex [tex]\displaystyle [(h, k)][/tex]is at [tex]\displaystyle [-3, 3],[/tex]there MUST BE a plus sign inside those brackets. Anyway, let us continue:
[tex]\displaystyle y = [x + 3]^2 + 3 \hookrightarrow y = x^2 + 6x + 9 + 3 \\ \\ \boxed{y = x^2 + 6x + 12}[/tex]
You now have your quadratic equation.
I am delighted to assist you at any time.
Tylen and his friends perform an investigation in math class where they record the color of candy they pull out of a bag 15 times in order to predict how
many total pieces of each color are in the bag.
Once they pull
out a candy, they put it back in the bag before they pull another one.
They pull 9 red candies and 6 blue candies.
-
Part A: Based on the boys'investigation, how many red candies will they expect to find in a bag of 120? (1 point
Answer:
I think they expect to find 40 red candies.
Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What the length of an arc between two consecutive spokes?
Express your answer as a simplified fraction in terms of \piπ.
The length of an arc between two consecutive spokes is 5π/8 in.
Length of an arc
The length of an arc L = rФ where
r = radius of circle = 5 in/2 = 2.5 in and Ф = angle subtended by arc in radians = 2π/n where n = number of sectors in circle = 8So, L = rФ
L = r × 2π/n
L = 2πr/n
Substituting the values of the variables into the equation, we have
L = 2πr/n
L = 2π × 2.5 in/8
L = 5π/8 in
So, the length of an arc between two consecutive spokes is 5π/8 in.
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Give two examples as to how pi is used in every day life
Answer:
In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few
Step-by-step explanation:
Find the distance between the points (8, 2) and (0, 8)
Answer:
10
Step-by-step explanation:
Meredith model a division problem on the number line what division problem did she model? find the quotient
Meredith model of the division problem can be represented as a quotient
The division problem of the number line is y = 8x or y/8
How to determine the model?From the complete question, we have the following parameters:
A number line8 equal partitionsRepresent the length of the number line with y, and the quotient with x.
So, the equation of the division problem is:
x = y/8
Rewrite as:
y = 8x
Hence, the division problem of the number line is y = 8x or x = y/8
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A rectangular lawn has area 140 square yards. Its length is six less than twice the width. What are the width and length of the lawn?
Answer:
width = let width be w
area = 140
length = 2w-6
Area of a rectangle = l*b
⇒ 2w-6*w=140
⇒ [tex]2w^2-6=140\\2w^2 = 146\\w^2 = 146/2\\w^2 = 73\\w = \sqrt{73}[/tex]
Rhonda went out to dinner.
• The price of her meal was
$15.55.
• The sales tax was 7% of the
price of the meal.
• The tip was 18% of both the
meal and the sales tax.
How much money did Rhonda
pay for the meal, including tax
and tip?
Answer:
18.54
Step-by-step explanation:
15.55 X 7% = 1.0885
15.55 + 1.0885 = 16.6385 X 18% = 2.99493
15.55 + 2.99493 =18.54493
23. Which point has a horizontal distance of 4 units and a vertical distance of 5 units from (6, - 4)?
O (11, -9)
O (1,0)
O (2, 1)
O (-2,3)
Answer:
(2,1)
Step-by-step explanation:
The point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To determine the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4), we can use the given coordinates as a reference.
Starting from (6, -4), a horizontal distance of 4 units means we will move 4 units to the right or left on the x-axis.
we move to the left.
This brings us to the x-coordinate of 6 - 4 = 2.
Next, a vertical distance of 5 units means we will move 5 units up or down on the y-axis. Since we want a positive vertical distance, we move up.
This brings us to the y-coordinate of -4 + 5 = 1.
Therefore, the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).
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-7.79+9.55 what does this equal?
Answer:
1.76
Step-by-step explanation:
The common factors of 8xy, IOx2y and 12xy2
Step-by-step explanation:
Factors of 8xy: 2 2 2 x y
Factors of 10x2y: 5 2 2 x y
Factors of 12xy2: 2 2 2 3 x y
Find the numbers or variables they all have in common.
What is he measure of the indicated angle? Hint: What angle pair relationship is being modeled?
what is angle ecb? (rhombus)
==================================================
Explanation
The diagonals of a rhombus are always perpendicular.
This leads to triangle ECB being a right triangle. The 90 degree angle at point E.
The other acute angles add to 90
C+B = 90
(5a+4) + (8a-5) = 90
13a-1 = 90
13a = 90+1
13a = 91
a = 91/13
a = 7
This value then leads to:
angle ECB = 5a+4 = 5*7+4 = 35+4 = 39 degreesangle CBE = 8a-5 = 8*7-5 = 56-5 = 51 degreesNote how 39+51 = 90 to confirm that C+B = 90 is correct. This confirms the correct 'a' value and final answer.
A television station shows 3 commercials every 12 minutes. At that rate, how many commercials will the station show in 60 minutes?
Answer:
zqxwsecdvrfr
Step-by-step explanation:
Stamps can be brought in a book of 20. how many books will a customer need to mail 50 invitations
Answer:
2.5
Step-by-step explanation:
All you have to do to figure this out is divide your 50 invitations by twenty stamps because there is 20 stamps in one booklet. 50 divided by 20=2.5
Answer:
3 books
Step-by-step explanation:
Assuming that you cannot buy a partial book of stamps, you would have to buy a surplus in order to obtain (at least) 50 stamps. That is because 50 is not a multiple of 20.
In theory you would need 2.5 books of stamps, but that half-book should be counted and rounded up to three. You wouldn't have sufficient stamps if you buy only 2 books.
write 402 base five in words
Answer:
three thousand one hundred and two
Step-by-step explanation:
Step-by-step explanation:
three point seven two five eight
brainiest please
I NEED HELP PLEASE ITS DUE AT 1:00am
Answer:
c
Step-by-step explanation:
When it says 5(4+8)
It means
5 x 4 + 5 x 8
But you could also say that as
5(4) + 5(8)
Since
5 x 4 and 5(4) are the same
Hope this helped you
:-)
Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
5(-2x+7)+3=-10x+38
Answer:
Infinitely many solutions
Step-by-step explanation:
Infinitely many solutions because no matter what you put in for x the equations will always be true
sin2A+sin2B+sin2C÷4cosA/2.cosB/2.cosC/2
Kelly is on a four-person relay team. The team's total time for its last race was 41.37 seconds. Giselle ran her part in 9.36 seconds. Sarah took 9.71 seconds to run her part of the race, and Aliyah ran her part in 10.57 seconds. How long did Kelly take to run her portion of the race?
Answer: 11.73 seconds
Step-by-step explanation:
To solve the question, we have to add the time used by Giselle, Sarah and Aliyah and then subtract from 41.37 seconds to determine the time used by Kelly. This will be:
= 41.37 - (9.36 + 9.71 + 10.57)
= 41.37 - 29.64
= 11.73 seconds
Kelly used 11.73 seconds
Sales records at an automobile dealership show that they sold 40 red cars one month. Of
those cars, 25 were new cars and 15 were used cars. James bought a red car from the
dealership that month. What is the probability he bought a used car? Express your
answer as a decimal rounded to the nearest thousandth.
Answer:
the boy can touch the ceiling (passive voice)
8) Imani spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12?
how would i solve this in a two step equation? pls and thanks
Answer:
See below.
Step-by-step explanation:
We can represent Imani's weekly allowance with the variable a. The equation you can write is:
1/2a+4=12
2(1/2a+4)=2(12)
a+8=24
a=16
The Imani's weekly allowance value is $16.
To solve this problem using a two-step equation, follow these steps:
Step 1: Let's represent Imani's weekly allowance with the variable "x."
Step 2: We know that Imani spent half of her allowance playing mini-golf, so the amount she spent is (1/2) × x. Additionally, she earned $4 by washing the car. Therefore, the equation becomes:
x - (1/2) × x + 4 = 12
To solve this equation, we need to combine like terms and isolate the variable "x":
(1/2) ×x = 12 - 4
(1/2) × x = 8
Next multiply both sides of the equation by 2 to eliminate the fraction:
2 × ((1/2) × x) = 2 × 8
x = 16
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Need help asap pleaseeeee
Answer: C
Step-by-step explanation:
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
(Will mark brainliest)
Answer:
Step-by-step explanation:
Solve for p in the literal equation 9p + 7r = q.
Answer:
p = [tex]\frac{q-7r}{9}[/tex]
Step-by-step explanation:
Given
9p + 7r = q ( subtract 7r from both sides )
9p = q - 7r ( isolate p by dividing both sides by 9 )
p = [tex]\frac{q-7r}{9}[/tex]
Answer: p = q - 7r ÷ 9