Answer:
145°
Step-by-step explanation:
based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.
y= 45(1.6)^2
I need help with this, thanks!
What is the perimeter of this rectangle? a. 2(x2 − x1) 2(y2 − y1) b. (x2 − x1)(y2 − y1) c. d. e. 4(y2 − x1)(x2 − y1)
The perimeter of the rectangle of length (x₂ - x₁) and width (y₂ - y₁) will be 2(x₂ - x₁) + 2(y₂ - y₁). Then the correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The length of the rectangle will be (x₂ - x₁) and the width of the rectangle will be (y₂ - y₁).
Then the perimeter of the rectangle will be
Perimeter = 2(x₂ - x₁) + 2(y₂ - y₁)
More about the rectangle link is given below.
https://brainly.com/question/10046743
What is the mean of the following set of numbers?
20, 14, 8, 28
20 + 14 + 8 + 28 = 70
70/4(we're dividing by 4 cause the no.of characters is 4)
and = 17.5
hope it really helps...!!!
An isosceles triangle MNP has one angle, N, with a measure of 20". The
angles M and Pare congruent. Which is the measure of angle P?
P=80º
Start by doing 180-20 since N=20
M and P are congruent, so P = 160/2
P=80
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right triangle is 18 square centimeters.
A. Write and solve an equation to find the value of h. Include all of your work in your answer.
B. In two or more complete sentences, verify your answer using mental math.
50 points
Answer:
[tex]\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height[/tex]
Given:
area = 18 cm²base = 6 cmheight = (h + 1) cmSubstitute the given values into the equation and solve for h:
[tex]\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)[/tex]
[tex]\sf \implies 18 = \sf \dfrac62 (h+1)[/tex]
[tex]\sf \implies 18 =3(h+1)[/tex]
expand using distributive property of addition [tex]a(b+c)=ab+ac[/tex]:
[tex]\sf \implies 18=3h+3[/tex]
subtract 3 from both sides:
[tex]\sf \implies 3h=15[/tex]
divide both sides by 3:
[tex]\sf \implies h=5[/tex]
To verify:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
Answer:
Below!
Step-by-step explanation (a):Given:
Area of Triangle = 18 cm²Base of Triangle = 6 cmHeight of (Triangle = (h + 1) cmFormula:
[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the measures into the formula:
[tex]:\implies 18 \ \text{cm}^{2} = \dfrac{1}{2} \times 6 \times \text{(h} + 1\text{)}[/tex]
SImplify the R.H.S:
[tex]:\implies18 \ \text{cm}^{2} = 3 \times \text{(h} + 1\text{)}[/tex]
Divide both sides by 3:
[tex]:\implies \dfrac{18}{3} = \dfrac{3 \times \text{(h} + 1\text{)}}{3}[/tex]
Simplify both sides:
[tex]:\implies 6 = \text{(h} + 1\text{)}[/tex]
Subtract 1 both sides:
[tex]:\implies 6 - 1 = \text{h} + 1- 1[/tex]
Simplify both sides:
[tex]:\implies 5= \text{h}[/tex]
Step-by-step explanation (b):Reviewing on how to verify our answer:
We can verify our answer by substituting the value of "h" in (h + 1) to determine the height of the triangle. Then we can substitute the height and the base in the "area of triangle" formula (1/2 x Base x Height).
Note: Keep in mind that the evaluated area should be 18 cm², as said in the question. If the area evaluated is different from 18 cm², then the value of "h" is incorrect.Verifying our answer through mental math:
Clearly, the height of the triangle is 6 cm, as when "h" is substituted in the expression (h + 1), we get 5 + 1.As said above, the formula for determining the area of a triangle is 1/2 x Base x Height. Clearly, half of 6 is 3. Lastly, when 6 (Base) and 3 (Half of the height) are multiplied, we get 18 cm², which is the area stated in the question.Thus, the value of "h" is verified through mental math.
Amir has $50 in a bank account. Every month, he pays $3.99 from his account for a game app. After 6 months, Amir wants to spend$25.00 on a school T-shirt. Does he have enough money in his bank account to buy the shirt?
yes and you also have $1.06 as a remainder.
hope it helps..!!!
solve this correctly to become the love of my life
Answer:
It is B.
Step-by-step explanation:
explanation is in the pic.
help pls MATH IS HARD!!! :((
The y-intercept is the b term in slope intercept form (y = mx + b) or in the form of a point (0, y).
Function 1 is in slope-intercept form, and the b term is 5.
Function 2 is given in a table, but it is easy to find the point (0, y) and y is 5.25.
5.25 > 5
Function 2 has the greater y-intercept.
Hope this helps!
Sam buys 6 pencils and 5 erasers for a total cost of $1. 60. Sally buys 3 pencils and 3
erasers for a total cost of $0. 90. How much does one ERASER cost?
A small cube has a volume of 64 cubic feet. A larger cube has sides that are three times as long as the small cube. How long are the sides of each cube?
The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.
Volume of a CubeA cube is a 3D- form of a square and its volume is found in the formula:
V=s³, where: s is the length of each side of a cube.
If the small cube has a volume ([tex]V_s[/tex]) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus
[tex]V_s[/tex]=64 ft³
[tex]s_v^3[/tex]=64
[tex]s_v=\sqrt[3]{64}\\ \\ s_v=4 ft[/tex]
A larger cube has sides ([tex]s_l[/tex]) that are three times as long as the small cube. Therefore, [tex]s_l=3s_v[/tex]. If [tex]s_v[/tex]=4 ft, the [tex]s_l[/tex] will be:
[tex]s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft[/tex]
Read more about the volume of a cube here:
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A bank surveyed all of its 60 employees to determine the proportion who participate in volunteer activities. Which of the following statements is true?
The bank should not use the data from this survey because this is an observational study.
The bank can use the result of this survey to prove that working for the bank causes employees to participate in volunteer activities,
The bank did not select a random sample of employees, so the survey will not provide the bank with useful information
D
The bank would have to use the survey data to construct a confidence interval in order to estimate the proportion of employees who participate in volunteer activities.
The bank does not need to use an inference procedure to determine the proportion of employees who participate in volunteer activities because the survey was a census of all
employees
DELL
The true statement about the bank survey is (e) The bank does not need to use an inference procedure to determine the participant proportion
How to determine the true statement?The population and the sample size are given as:
N = 60
This is so because the bank surveyed all her staff.
Since all the bank staffs participated in the survey, it means that the proportion of the study is 1 or 100%.
So, the bank do not need to determine the proportion that participates
Hence, the true statement is (e)
Read more about surveys at:
https://brainly.com/question/15713806
what is the value of 2x to the 3rd power + x to the 2nd power -x when x+3?
Answer:
I am unsure of the wording of this question, so I will answer both ways I see it.
When x = x + 3, the value of 2x³ + x² - x is 2x³ + 19x² + 59x + 66.
When x = 3, the value of 2x³ + x² - x is 60.
Step-by-step explanation:
x = x + 3 solution:
It is given that:
f(x) = 2x³ + x² - x
We are trying to find this when x = x+3. Substitute this value in for every x in the function.
f(x + 3) = 2(x + 3)³ + (x + 3)² - (x + 3)
Expand the first part.
f(x + 3) = 2(x + 3)(x + 3)(x + 3) + (x + 3)² - (x + 3)
Multiply pairs together.
f(x + 3) = 2(x + 3)(x² + 6x + 9) + (x + 3)² - (x + 3)
Multiply the remaining pairs together.
f(x + 3) = 2(x³ + 9x² + 27x + 27) + (x + 3)² - (x + 3)
Distribute the two inside the parenthesis.
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x + 3)² - (x + 3)
Evaluate (x + 3)².
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x² + 6x + 9) - (x + 3)
Remove all parenthesis and start simplifying.
f(x + 3) = 2x³ + 18x² + 54x + 54 + x² + 6x + 9 - x - 3
Combine all terms ending in x².
f(x + 3) = 2x³ + (18x² + x²) + 54x + 54 + 6x + 9 - x - 3
f(x + 3) = 2x³ + 19x² + 54x + 54 + 6x + 9 - x - 3
Combine all terms ending in x.
f(x + 3) = 2x³ + 19x² + (54x + 6x - x) + 54 + 9 - 3
f(x + 3) = 2x³ + 19x² + 59x + 54 + 9 - 3
Last, combine the final numbers to get:
f(x + 3) = 2x³ + 19x² + 59x + 60
x = 3 solution:
It is given that:
f(x) = 2x³ + x² - x
Substitute 3 in for every value of the function.
f(3) = 2(3)³ + (3)² - 3
Evaluate 3 cubed and then multiply it by 2.
f(3) = 2(27) + 3² - 3
f(3) = 54 + 3² - 3
Evalute 3 squared.
f(3) = 54 + 9 - 3
Add 54 and 9.
f(3) = 63 - 3
Subtract 3 from 63 to get:
f(3) = 60
Which of the following is equal to ? (In the picture)
Answer:
2^1/6
Step-by-step explanation:
either find the result of all equations or
times square root(2) by cube root (3) and put it over 1
... 1/6 and put this as the power to the number in the question
Chang bought a pad of paper for $1.50, a pen for $.80, and a ruler for $0.90 at the school store.
How much did Chang spend?
O A. $2.70
B. $3.20
C. $10.40
D. $18.50
Add the prices together:
1.50 + 0.80 + 0.90 = 3.20
Answer: B. $3.20
Answer:
$ 3.20 (Answer B)
Step-by-step explanation:
Add up the three prices given:
$1.50
0.80
0.90
-------------
$ 3.20 (Answer B)
Select all pairs of complementary angles in the diagram.
Answer:
Step-by-step explanation:
Complementary angles sum to 90 degrees.
< BAF and < BFA
<CDE and < CED.
Supplementary ( sum to 360):
< FBC and <BFE
<BCE and < FEC.
Suppose you pull a card from a standard 52-card deck. Find Place or black). Express your answer as a fraction in simplest form.
Answer:
32/52 = 16/26 = 8/13
Step-by-step explanation:
If only Black cards = 26 this includes all black face cards
Face cards = 3 in each suit, 2 red suits so 3 × 2=6
26 + 6 = 32
Helppppp!!! What is the area of the trapezoid shown below?
Answer:
The area of T is equal to sum of area of R and Triangle
Step-by-step explanation:
[tex]area = 12 \times 2[/tex]
Area)= 24
[tex]area = \frac{1}{2} \times 12 \times 15[/tex]
Area= 90
Area of T = 90 PLUS 24
AREA == 114
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEBrett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has a mean of 295 and a sample size of 50. which of the following correctly depicts the z-statistic for brett’s data? –5.30 –0.11 4.28 6.27
The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
How to find the value of z-statistic for population mean?Suppose we're specified that:
The sample mean = [tex]\overline{x}[/tex]The population mean = [tex]\mu[/tex]The population standard deviation = [tex]\sigma[/tex]The sample size = nThen the z-statistic for this data is found as:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]
For this case, we've got:
The sample mean = [tex]\overline{x}[/tex] = 295The population mean = [tex]\mu[/tex] = 310The population standard deviation = [tex]\sigma[/tex] = 20The sample size = n = 50Thus, we get:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30[/tex]
Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
Learn more about z-statistic here:
https://brainly.com/question/1640298
According to the given data and applying it's formula, the z-statistic is of z = -5.30.
What is the z-statistic formula?It is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are given by:
[tex]\overline{x} = 295, \mu = 310, \sigma = 20, n = 50[/tex]
Hence, the z-statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}[/tex]
z = -5.30.
The z-statistic is of z = -5.30.
More can be learned about z-statistic at https://brainly.com/question/26454209
Cindy's apartment complex is offering renters insurance through their insurance company. the insurance company charges an annual premium of $565.00 which can be paid in equal payments throughout the year with her monthly rent. cindy's monthly rent is currently $789.00. what will cindy's new rent be if she includes the renters insurance? a. $47.08 b. $630.75 c. $836.08 d. $1,354.00
Cindy's new rent when she includes the renter's insurance will be C. $836.08.
What is renters insurance?As an insurance policy, renters insurance offers the policyholder insurance coverage over personal belongings, liabilities, and living expenses.
Data and Calculations
Annual insurance premium = $565.00
Monthly insurance premium = $47.08 ($565/12)
Current monthly rent = $789.00
Cindy's new rent with the renters insurance included = $836.08 ($789.00 + $47.08).
Thus, Cindy's new rent when she includes the renter's insurance will be C. $836.08.
To learn more return insurance visit:
https://brainly.com/question/24441770
The other person is correct!
The answer is C: $836.08
------------------------------------------------------------
Have a great day and God bless! :D
Please help me please please I need it so bad
Answer:
A i= 44. B i= 44. C i= 40.
HELP PLSS HAHAHAHHAHA
Find the center and radius of the circle defined by the equation given below.
22 + 2x + y2 + 10y = 15
A:center (-1, – 5), radius: 15
B:center. (1, 5), radius: 15
C:center. (-1, – 5), radius: 141
D: center. (1, 5), radius: 41
Answer:
your question seem off but if its x² + 2x + y² +10y=15
Step-by-step explanation:
the answer will be
center = (-1,-5)
radius = square root 41
which will be C:center (-1,-5), radius square root 41
A 2-yard piece of linen costs $18.54. What is the price per foot?
Answer:
3.09 per ft
Step-by-step explanation:
1 yd = 3ft
so 2 yd = 6ft
6ft = 18.54
18.54 /6ft
3.09 per ft
sorry about the lines lol
the question is not visible lol
Please Help!!! 100 Points!!! Will Mark Brainliest If Correct!!!
Make sure everything is spaced out and easy to understand. Please show all of your work(if needed).
Task 1
Nonlinear Systems of Equations
Create a system of equations that includes one linear equation and one quadratic equation.
Part 1. Show all work in solving your system of equations algebraically.
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
Task 2
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Answer:
Step-by-step explanation:
Part A, the system of equation is, presented here as follows;
(1) 2·y = 3·x + 2
(2) y = 2·x² - 3·x + 2
Part B; The graph of the system of equation is attached
The reason for the above answers is as follows;
Part A
A system of equations are a given number of equations from which a common solution of the system can be found
A linear equation is an algebraic equation in which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form y = m·x + c
A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is y = a·x² + b·x + c, where a, b, and c are real numbers
Therefore, the system of equation that can be created is as follows;
(1) 2·y = 3·x + 2
(2) y = 2·x² - 3·x + 2
Method for solving;
Divide equation (1) by 2, and equate both values of y to find the common solution as follows;
2·y/2 = (3·x + 2)/2 = 1.5·x + 1
∴ y = 1.5·x + 1
Equating both values of y gives;
y = 1.5·x + 1
y = 2·x² - 3·x + 2
Therefore;
1.5·x + 1 = 2·x² - 3·x + 2
2·x² - 3·x - 1.5·x + 2 - 1 = 0
2·x² - 4.5·x + 1 = 0
Using the quadratic formula, we get;
x = (4.5 ± √((-4.5)² - 4×2×1))/(2 × 2)
x = 2, or x = 0.25
From which we get;
y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375
The points where the line graph and the quadratic graph intersect are;
(2, 4), and (0.25, 1.375)
Part 2
What is 1/6 x 1/7 x 588 = ???
Answer:
14
Step-by-step explanation:
Because I looked it up
Which weight occurs most often? Which weight occurs least often? How can you tell from the line plot?
I know the answer I just need to know how to solve it. The highlighted is the answer.
[tex]x^2+4x+4 = 8\\\\\implies x^2+2\cdot 2 \cdot x+2^2 = 8\\ \\\implies (x+2)^2 = 8\\\\\implies x+2 =\pm\sqrt 8\\\\\implies x +2 = \pm\sqrt{4 \times 2}\\\\\implies x +2 = \pm2\sqrt 2\\\\\implies x =-2 \pm2\sqrt2[/tex]
jacob poured 5/6 cup of orange juice and a cup 5/8 of cranberry juice into a pitcher . He drank 1/2 cup of the juice in the pitcher. How many cups of juice are left in the pitcher?
Answer and you get brainliest
Answer:
m = 30w
Step-by-step explanation:
Answer:
The answer that looks the best is m=30w
Step-by-step explanation:
I asked my teacher and he said it was right