the edge of a tile is trimmed to make it fit along the edge of the shower. the diagram shows the angles that was cut. what is the value of x?
Answers
Answer:
x° = 77.7°
Step-by-step explanation:
We know that the interior angles within a quadrilateral add up to 360 degrees. We are provided with two right angles and a third angle of 102.3°. So we must solve to find x.
90 + 90 = 180
102.3 + 180 = 282.3
360 - 282.3 = 77.7
x = 77.7 degrees
Related Questions
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
Answers
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answers
Answer:
Cuba, Venezuela, Colombia, Mexico
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Answers
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
Answers
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
Find out more on equation at: https://brainly.com/question/2972832
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- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
Answers
Answer:
- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answers
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
Mr. Bumpkin was
planting vegetables in his
garden. His garden was 4
leet long and 2 feet wide.
What is the area of his
garden
Answers
Answer:
8 feet²
Step-by-step explanation:
A = lw
A = 4(2) = 8 ft squared
Answer: 8 feet squared
Step-by-step explanation:
area=lw
area=4x2
area=8
Consider the line shown on the graph below. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. Enter the equation of the line in the form y=mx + b where m is the slope.
Answers
SHOW YOUR WORK
5.9 ÷ 0.54 =?
Answers
Answer:
10.93
Step-by-step explanation:
5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93
Passes through the points (-2, 1) and (2, 3)
Answers
Answer:
slope 1/2
Step-by-step explanation:
A deck contains these cards of the same size and shape.
• 5 green cards
4 red cards
2 orange cards
. 1 blue cards
Len will randomly select one card from the deck, not replace it, and then randomly select a second card. Which two fractions could be placed in the boxes to represent the probability he
will select a blue card and then a red card?
Answers
Step-by-step explanation:
Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)
So,
1. Probability of getting blue card is 1/12
2. Probability of getting a red card is 2/12=1/6
hope it helps
The probability of an event is 0.28. Describe the likely hood of the event
Answers
Answer:
Step-by-step explanation
Remark
The likelihood of an event happening is 28 times out of a hundred.
The chances of it not happening is 72 chances out of a hundred.
Answer:
Unlikely!
Step-by-step explanation:
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answers
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answers
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
Find out more information about probability here:
https://brainly.com/question/24756209
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
Answers
This would be unlikely because you only have a 6/100 chance of this happening. It’s rare but could happen. It isn’t likely that it will but it isn’t impossible. If it were 50-50, the percentage of chance would be 50%. So you are left with one option... unlikely.
PLEASE!!! ASAP!!! WILL GIVE BRANLIEST!!! SHOW & EXPLAIN!!
I'm not smart & studying for my ACT's..
The text message component of each of Juan's monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan's most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?
Answers
Answer:
365 messages
Step-by-step explanation:
x = # text messages)
16.5 = 10 + .10(x - 300)
6.5 = .10x - 30
36.5 = .10x
x = 365
Answer:
365
300+65=365 text messages in total
365 text messages=$16.50
Step-by-step explanation:
6.50/0.10=65
Have a nice day!!
Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.
Answers
Answer:
20.4
Step-by-step explanation:
The answer is 2011.4
Hello! Can someone help me with this!!
Answers
Answer:
nope u dont need to buy more
Step-by-step explanation:
u have 1/2 cup after spilling but the recipe only needs 1/3 which is less
how can i solve this
(x+2)(2x+3)
step by step please
Answers
Answer:
2x² + 7x + 6
Step-by-step explanation:
To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).
You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.
(x+2)(2x+3)
2x²+ 3x + 4x + 6
2x² +7x + 6
Answer:
2x^2+7x+6
Step-by-step explanation:
Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.
2x^2+7x+6
(x+2)(2x+3)
First, multiply the variables (x).
(x)(2x) = 2x^2
NOTE: the '^' before a number is used to signify an exponent.Then, multiply the whole numbers (2, 3).
(2)(3) = 6
Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)
(x)(3) = 3x
(2)(2x) = 4x
NOTE: make sure you're multiplying one expression to the other, not multiplying the same expression together.Finally, add them all together, and simplify.
2x^2 + 6 +3x + 4x
=
2x^2+7x+6
Solve one-sixth ÷ two-sixths
A. start fraction 2 over 12 end fraction
B. one-sixth
C. one-half
D. 6
help plz
Answers
Answer:
C. one-half
Step-by-step explanation:
1/6 / 2/6
1/6 *6/2
=1/2
Hope this helps!!
Answer:
C)
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Your problem should be set up like so:
[tex] \frac{1}{6} \div \frac{2}{6} [/tex]
When dividing fractions you multiply by the reciprocal of the second fraction. Therefore your question changes to this:
[tex] \frac{1}{6} \times \frac{6}{2} [/tex]
You multiply as across as normal and you'll end up with
[tex] \frac{6}{12} [/tex]
Which when simplified gives you
[tex] \frac{1}{2} [/tex]
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answers
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
If a pollster wants to increase their ability to predict the outcome of an election, one thing they can do is increase the
size of the sample. By doing so:
O nonresponse will be eliminated.
the results of the sample will be unbiased.
the variability of the sample results will be reduced, giving greater precision in the estimate.
the pollster can be certain that he can correctly predict the outcome of the election.
Answers
Answer:
the variability of the sample results will be reduced, giving greater precision in the estimate.
Step-by-step explanation:
this worked on edg for me!
Seven friends go out for dinner and the bill for food and drink comes to £140 the friends decide to add a 5% tip on top of this total if they divide the expense equally between them how much does each friend pay
Answers
Answer:
21 pounds
Step-by-step explanation:
bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.
Amount per friend = 147/7 = 21 pounds per friend.
Answer:
21
Step-by-step explanation:
This is just a confirmation answer
Kai needs to solve the equation x2 - 6x - 16 = 0 by completing the square. Which pair of steps is the most efficient way to begin?
Answers
Step-by-step explanation:
[tex] {x}^{2} - 6x - 16 = 0[/tex]
[tex] {x}^{2} - 6x = 16[/tex]
[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]
There two ways you can go this route.
Route 1
[tex](x - 3) {}^{2} = 25[/tex]
[tex](x - 3) {} = 5[/tex]
[tex]x = 8[/tex]
And
[tex]x - 3 = - 5[/tex]
[tex]x = - 2[/tex]
The roots are 8,-2
Answer:
x=-2,8
Step-by-step explanation:
x2 - 6x - 16 = 0
x²-8x+2x-16=0
x(x-8)+2(x-8)=0
(x-8)(x+2)=0
either
x=8
or
x=-2
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answers
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
The figure shows two intersecting lines and measures of the resulting angles,
(3x - 81°
(2x +12)
What are the values of x and y?
O A * = 4, y = 160
OB. X = 20, y = 52
C. X = 4, y = 20
D. X = 20, y = 128
Answers
Solve for the unknown angle
Answers
Answer:
30
Step-by-step explanation:
20+130=150
180-150=30
Jay found 2/3 of a pizza in the refrigerator.He ate 3/4 of it.What fraction of the whole pizza did Jay eat?
Answers
Answer:
4/9
Step-by-step explanation:
He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.
2/3 · 2/3 = 4/9
Fourth ninths of the pizza is in the fridge.
What are the solutions to 6x²-5x-4=0?
Answers
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
Tysm only this one left
Answers
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6