Answer:
x=46
Step-by-step explanation:
Let's call the angle near x is y
x+y = 180 - 22 -90 = 68
The right triangle is a isosceles triangle
So y=22
x+22 = 68
x = 46
Equivalent expression for .68y
Answer:
68 × y
Step-by-step explanation:
68y = 68 × y
7. Find the area of Circle Y
Answer:
a. About 263.08 m²
Step-by-step explanation:
First find the radius (r):
Area of sector = central angle/360 ×πr²
Area of sector = 85.5 m²
Central angle = 117°
Plug in the values into the equation
85.5 = 117/360 × π*r²
85.5 = 1.02 × r²
85.5 - 1.02 = r²
84.48 = r²
r = √84.48
r = 9.19 m
✔️Find the area of the circle
Area of the circle = πr²
Where,
r = 9.19
Plug in the value
Area = π*9.2²
Area = 265.326663 (this is close to 263.08 cm²)
Area therefore is about 263.08 cm².
3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.
Answer:
GHC757.317
GHC181.756
Step-by-step explanation:
Given that :
Discount on sale = 18%
Sale price at 18% discount = 828
828 = 100% - 18%
828 = 82%
The cost at 100% can be represented as :
828 = 0.82
x = 1
Cross multiply :
828 = 0.82x
x = 828 / 0.82
x = 1009.7560
The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :
(100 - 25)% * 1009.7560
0.75 * 1009.7560
= GHC757.317
Discount allowed :
1009.7560 - 828
= GHC181.756
help me please lol this is an important grade
Answer:
YOUR ANSWER IS B
Step-by-step explanation:
Which is the graph of the linear equality 2x-3y<12
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
(5/12 divided by 3/4 )
please finde this..
this is 7th class question
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable
Answer:
A: Parameter
B: Population
C: Statistic
D: Variable
E: Sample
F: Data
Step-by-step explanation:
A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.
B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.
C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.
D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.
E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.
F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.
The sum of triple a number and 5 is 40.
Change fraction ( 11/4) from an improper fraction to a mixed number.
Answer:
Have a nice day :)
Step-by-step explanation:
To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6
The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.
E gawain sa pagktuto bilang 1 basahin at unawain ang bawat suliranin lutasin ang suliranin gamit ang polyas 4 step process.
Answer:
CHerry emoji
Step-by-step explanation:
Helpppp me with explanation also please:(((((
Answer:
x=7/3
Step-by-step explanation:
3x2y=5 equation 1
3x-2y=9 equation 2
6x=14 add above 2 equations which eliminates y
x=14/6
x=7/3
I don’t know the answer please help me out
Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is
Answer:
[tex]3 \to[/tex] Coefficient of x
[tex](x+2)\to[/tex] Variable
[tex]4 \to[/tex] Constant
Step-by-step explanation:
Given
[tex]3x + 2(x +2) + 4[/tex]
Required
Complete the statements
In 3x, x is the variable; so:
[tex]3 \to[/tex] Coefficient of x
In 2(x + 2), 2 is the variable so:
[tex](x+2)\to[/tex] Variable
4 stands alone. So, it is a constant
[tex]4 \to[/tex] Constant
Answer: In the first term, 3 is a coefficient
In the second term, (x + 2) is a factor
In the last term, 4 is a constant
Step-by-step explanation:
The 3 in the first term is multiplied by a variable, x. So it is a coefficient.
The (x + 2) in the second term is multiplied by 2. So, it is a factor.
The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.
The Math Team is hosting a raffle, and only 100 people will be allowed to enter. A ticket costs $2 and the prize is a $50 gift card. Only one
person will win.
What is the probability that you will win?
What is the probability that you will not win?
Find the expected value.
Answer:
given the information all your chances will be out of a 100% you don't have to convert these numbers because there is already only 100 people allowed to enter meaning you are 1 out of 100 people entered and have a 1/100 (1%) chance of winning and a 99/100 (99%) chance someone else winning
convert 15 to gray code
Step-by-step explanation:
15 = 1000
its done .
may it helped u
Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience
Answer:
The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Step-by-step explanation:
Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:
253 = 100
62 = X
62 x 100/253 = X
6,200 / 253 = X
24.50 = X
Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2
Give brainiest if right!!
Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?
Answer:
4000 miles
Step-by-step explanation:
320x1.5=480
(320x5)+(480x5)=4000
4000 miles
Answer:
[tex]4,000\text{ miles}[/tex]
Step-by-step explanation:
Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.
Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.
If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.
Using [tex]d=rt[/tex], the first plane must travel:
[tex]d=320\cdot 5=1600[/tex] miles
The second plane must travel:
[tex]d=480 \cdot 5=2400[/tex] miles
However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step? (1 point)
Select one:
a. Step 2; 4(2) + 4x(2)
b. Step 2; 4(2) + 4(3x)
c. Step 3; 4 + (4 + 8x)
d. Step 3; 4 + (4 ⋅ 8x)
Answer:
step c
Step-by-step explanation:
double the difference of 25 and 10 is
Answer:
30
Step-by-step explanation:
25-10 = 15
15 x 2 = 30
------------------
First we must get the difference between 25 and 10.
[tex]25 - 10 = \green{15}[/tex]
Next, we must double the answer.
[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]
Therefore, the answer is 30.Stay safe!
Which of the following equations represents a line that passes through the points ( − 3 , − 3 ) and (−2,0)?
y=3x+6
Use
y=mx+b
to calculate the equation of the line, where
m
represents the slope and
b
represents the y-intercept.
Slope is equal to the change in
y
over the change in
x
, or rise over run.
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.
Answer:
3/15= 1/5 That's the answer
15. Set up a proportion and use it to solve for x. Show your work.
2
10
X
3
Answer:
x = 15
Step-by-step explanation:
Create a proportional relationship to solve for x
3/2 = x/10
Cross multiply
2x = 30
Divide both sides by 2
x = 15
Answer:
Step-by-step explanation:
10/(10 + 2) = x/(x + 3) Combine left denominator
10/12 = x/(x + 3) Cross multiply
10(x + 3) = 12*x Remove the brackets on the left
10x + 30 = 12x Subtract 10x from both sides
-10x -10x
30 = 2x Divide by 2
2x/2 = 30/2
x = 15
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Step-by-step explanation:
<5 is congruent to <3 ( parallel lines form alternate interior angles)
<4 is congruent to <2 ( parallel lines form alternate interior angles)
the sum of angles 1,4, and 5 equals 180 (angles on a line)
the sum of angles 1,2,3 equal 180 as well
3x+78 x+50 solve for X
Someone help please
Answer:
x=13
Step-by-step explanation:
3x+78 +x+50=180
3x+x+78+50=180
4x+128=180
4x=180-128
4x=52
4x/4=52/4
x=13
using the principal of straight line angle
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3x + 78 + x + 50 = 180^\circ}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + x) + (78 + 50)}\\\mathsf{3x + x = 4x}\\\mathsf{78 + 50 = 128}\\\\\mathsf{4x + 128 = 180^\circ}\\\\\large\text{SUBTRACT 128 to BOTH SIDES}\\\\\mathsf{4x + 128 - 128 = 180 - 128}\\\\\large\text{CANCEL out: 128 - 128 because that gives you 0}\\\large\text{KEEP: 180 - 128 because that helps solve for the x-value}\\\mathsf{180-128=52}\\\\\mathsf{4x = 52}\\\\\large\text{DIVIDE 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4} =\dfrac{52}{2}}\\\\\large\text{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\mathsf{\dfrac{52}{2}}\large\text{ because that gives you the value of x}\\\\\mathsf{\dfrac{52}{4}=52\div4=x}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 13}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
Please help me with this
Look at the image
Answer:
do it ur self
Step-by-step explanation:
and don't cheat
PLEASE HELP!!!
WILL MARK BRAINIEST!!!
If angle ABE= 43, then angle DBC =_____
Thank you!
Answer:
If angle ABE = 48°,then angke DBC = 43° .
Step-by-step explanation:
Since, ∠ABE = 43 °
∠DBC = 43 ° .. ( Vertically opposite angles)
Look at the image below help me
Answer:
y=12, x=6
Step-by-step explanation:
y+3=15
3x-6=12
find the value of x (in this picture)
Answer:
x = 76°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
30° + 74° + x = 180°
Step 2: Solve for x
Add: 104° + x = 180°[Subtraction Property of Equality] Subtract 104° on both sides: x = 76°Answer:
x° = 76 °
Step-by-step explanation:
We know that sum of interior angles of triangle is 180 °.
74 ° + 30 ° + x° = 180 °
combine like terms
104 ° + x° = 180 °
subtract each side by 104°
x° + 104 ° - 104 ° = 180 ° - 104 °
x° = 76 °