Answer:
The length of AB is 20 units
Step-by-step explanation:
The equilateral triangle is the triangle that has 3 equal sides and 3 equal angles, the measure of each angle is 60°
∵ All of the angles of triangle ABC measure 60 °
→ By using the fact above
∴ Triangle ABC is an equilateral triangle
→ That means its 3 sides are equal
∴ AB = BC = CA
∵ AB = 3x - 4
∵ BC = 4x - 12
∵ CA = 5x - 20
→ Equate 2 of them to find x
∵ BC = CA
∴ 5x - 20 = 4x - 12
→ Subtract 4x from both sides
∵ 5x - 4x - 20 = 4x - 4x - 12
∴ x - 20 = -12
→ Add 20 to both sides
∴ x - 20 + 20 = -12 + 20
∴ x = 8
→ To find AB substitute the value of x in its expression
∵ AB = 3x - 4
∴ AB = 3(8) - 4
∴ AB = 24 - 4
∴ AB = 20
∴ The length of AB is 20 units
What is the measure of the angle?
The angle is a 90 degree angle.
Answer:
80degrees
Step-by-step explanation:
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
p = x / n
p = 91/110
p = 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= p - Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
0.18 divided by 0.33
Answer:
I am pretty sure it is 0.54
Answer:
The answer is 0.54. I have included a screenshot that shows the work and how to get 0.54. I hope this helps!
And by the way yes, I do know this is a 1-year-old question but I would like points and I have the answer.
:D
- Your friendly (late) responder
Which of the following expressions are equivalent to c/d?
Choose all answers that apply:
Answer:
Both A and B are correct because a negative divided by a negative makes a positive.
Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).
What are the expressions?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Here both the options (A) and (B) are correct because negative got cancel and it would be like the given expression.
Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).
To know more about the expression
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What is the first step in solving the equation 1 + 3/5x = 3?
What is the second step in solving the equation?
Answer:
subtract 1 from both sides
cube both sides
Step-by-step explanation:
nhfbgdvzfsdfexgrdtbfvdcfewzsxrdfcgvhjyvtfhcdgrxesrgdfcgvh
HELP PLEASE!!!!! I need help
Answer:
5 hours and 8 minutes is what I got, but i'm not really sure so only put that answer if someone else got that to. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
What is 3/7 divided by 15?
Answer: Your answer is 1/35 or 35
Step-by-step explanation:
I will give 26 points for this!!!!
1) GST is 5% and the subtotal is $818.75 what is the Grand total?
2) PST is 8% and the subtotal is $818.75 what is the Grand total?
Answer:
37.5%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
The table and graph both represent the same relationship. Which
equation also represents that relationship?
PLEASE someone HELP
Answer:
y=x^2
Step-by-step explanation:
Which is NOT an example of kinetic energy
Question 8 options:
a skateboard rolling down a hill.
an arrow after it has hit the target and is at rest.
a skydiver as they decrease speed after opening their parachute.
an elevator moving up to the 3rd floor,
Answer: an arrow after it has hit the target and is at rest.
Step-by-step explanation:
Kinetic energy has to do with energy which a body possesses by virtue of being in motion. The arrow is not in motion anymore
Which graph shape represents the polar curve r = 1 + 4sin(θ)?
a cardioid
a rose curve
a limaçon with an inner loop
a limaçon without an inner loop
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]
Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]
This is an equation of vertical cardioid.
So, it represents a cardioid.
Answer:
C - a limaçon with an inner loop
Step-by-step explanation:
If you have a graphing calculator, use it to plug in the equation.
Based on what you have learned, you will recognize the graph is C
What is the value of x?
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c² plug in the info you have
a²+12²=13² (c is always the side opposite from the right angle)
Solve for a
a²+144=169
-144 -144
a²=25 take the square root of both sides
√a²=√25
a=5
ASAP please & thank you
A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
The correct selling price = $10.02
The manager's likely error = $6.02
Step-by-step explanation:
Markup of 67% on all items
An item cost $6
The correct selling price = $6 + 67% of $6
= $6 + 0.67 × $6
= $6 + $4.02
= $10.02
The correct selling price = $10.02
The store manager's selling price is $4.
The manager's likely error = The correct spelling price - the manager's selling price
= $10.02 - $4
= $6.02
The manager's likely error = $6.02
What is the What is the Linear Equation for
13/2 x12 ? The y intercept is 4
Answer:
6.5x*16= y
Step-by-step explanation:
6.5x*12+4 =y
6.5x*16= y
i believe this is correct...
Help me plzzzz!!!!!
In 2010, there were approximately 6 million girls living in Orange City. In 2011, the population was down to 4 million girls. How many girls lived in Orange City in 2011 in comparison to 2010? Write your answer in scientific notation.
Answer:2010 +2011+2010=6021
6+4 =11
Step-by-step explanation:add then you divide
HELP MEH PLEASE TwT I WILL GIVE BRAINLIEST TO FIRST PERSON WITH
RIGHT ANSWER
Answer:
a
Step-by-step explanation:
because its parallel while d is perpendicular and b and c are diagonal
A certain brand of tea costs $7.99 for 16.2 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$
per ounce
Answer:
49 cents per ounce
Step-by-step explanation:
And a survey of 500 households 23% say that they have a dog as a pet the standard deviation is 2% determine an interval that if I need to contain the 95% of all households who has a dog as a pet
Answer:
(114.123, 115.877)
Step-by-step explanation:
Given that :
Sample size (n) = 500
Mean = 23% of 500 = 115
Standard deviation (s) = 2% of 500 = 10
α = 95%
Zcritical at 95% = 1.96
Confidence interval = Mean ± Error
Error = Zcritical * standard deviation /sqrt (n)
Error = 1.96 * 10/sqrt(500)
Error = 0.8765386
Lower boundary : 115 - 0.8765386 = 114.1234614
Upper boundary : 115 + 0.8765386 = 115.8765386
(114.123, 115.877)
Michelle bought 2 teddy bears and 3 flower vases for $27 in a shopping mall. Shannon bought 3 teddy bears and 2 flower vases for $30.5 from the same mall. what is the cost of the flower vase?
Answer:
$4
Step-by-step explanation:
let t represent teddy bear and v represent vase, then
2t + 3v = 27 → (1)
3t + 2v = 30.5 → (2)
Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is
6t + 9v = 81 → (3)
- 6t - 4v = - 61 → (4)
Add (3) and (4) term by term to eliminate t, that is
5v = 20 ( divide both sides by 5 )
v = 4
The cost of the flower vase is $4
Answer:
It is going to be $4.00
Step-by-step explanation:
Hope this helped have an amazing day!
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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Convert €85.10 to pounds.
Give your answer rounded to 2 DP.
Answer:
77.10-pound sterling
Step-by-step explanation:
Has not been rounded
will give brainliest
Answer:
d
Step-by-step explanation:
please help meeeeeeeeeee
1)such A coffee maker costs $ 563 more than a blender. The total cost of two such coffee makers and 5 such blenders is $6915.How much does 1 coffee maker cost?
Answer:
$1390
Step-by-step explanation:
Given that :
Let :
Cost of blender = x
Cost of coffee maker = x +563
2(x + 563) + 5x = 6915
2x + 1126 + 5x = 6915
7x = 5789
x = 827
Cost of coffee maker = (827 + 563) = 1390
Please help ASAP thank you
Answer:
Scalene, Acute
Step-by-step explanation:
scalene because the sides are of different length, and acute because it's less than 90°
24 is what precent of 30 ?
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
This can be written algebraically as 24 = x of 30, where we have to find what percent of 30 is equal to 24. Of is the same as multiplication: 24 = x · 30 Then, solve for x. The answer is x = 0.8 and 0.8 as a percent is 80%.
Hope this helped! :)
what is the equation for the line that passes through the point (3,7) and has a slope of 2?
Answer:
y=3/7x+2
Step-by-step explanation:
can i have brainliest?
The coordinates of which point are (-3, 6)?
Ty
A
6
5
4
13
1
123457
Х
2
3
B
5
6
O point A
O point B
O point
point D
Answer:
point d based on my stuck knowledge
Answer:
i cant tell what your asking but i guess point a...
Step-by-step explanation: