The solution is Option C.
The triangle with sides 6 , 8 and 9 is an acute triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the sides of the triangle is
The measure of side AB = 6
The measure of side BC = 8
The measure of side AC = 9
Now , for a triangle
a² + b² > c² , the the triangle is an acute triangle
a² + b² = c² , then the triangle is right triangle,
a² + b² < c² , then it is an obtuse triangle
Now , If it is an equilateral triangle , a = b = c
Substituting the values in the equation , we get
AC² < AB² + BC²
9² < 6² + 8²
81 < 36 + 64
81 < 100
Hence , the triangle ABC is an acute triangle
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A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
Answer is C
Step-by-step explanation:
ap3xxx
please I need help show work pls
Answer: A
Step-by-step explanation:
If you write down the points you’ll get:
(2,6) & (3,9) & (5,15)
Next apply the expression which in this case:
A) y =3x
Now insert the numbers
1) (2,6) => 6=3(2)
2) (3,9) => 9=3(3)
3) (5,15) => 15=3(5)
So, A is correct.
Edit: Forgot to mention about the numbers placement.
(x,y) so numbers on the left is x while those on the right is y
if you answer this you are a genius.
Answer:
Question 1: 3380g
Question 2: 2g/cm^3
Step-by-step explanation:
I used online mass and density calculators. Hope this helps :)!
what is 7%o of 14.68
Answer:
1.03
Step-by-step explanation:
i multiplied 14.68×.07
hope this is correct and helps
Answer:
1.03
Have a good day! :)
Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4
Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding
Answer:
i personally think the 65 in. one
Step-by-step explanation:
Please help I’ll mark u <3
Answer:
x>-4
Step-by-step explanation:
1 Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards?
Answer:
4\3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
because if you caculate right and do the answer correctly it is D. thanks can i get brainlest.
Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
1 Exam Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax $40.00 6% ? The sales tax is $
Answer:
59% why
Step-by-step explanation:
i just took the test my gee
Answer:
Tax: $2.4
Total: $42.4
Step-by-step explanation:
40*0.06 = 2.4, 40 + 2.4 = 42.4
2x - y = -2,X + y = -1
Answer:
x=-1, y=0
Step-by-step explanation:
Hope this is right!!
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
Evaluate 3x(x-2)/2x-1 when x=0
Answer:
The answer is zero, because the entire equation is being multiplied by zero. The only way that will give you non-zero value is if the denominator in the fraction came to zero as well, but in this case it does not.
Step-by-step explanation:
[tex]3x\frac{x - 2}{2x - 1} \\3(0)\frac{0-2}{2(0) - 1}\\0[/tex]
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
Which statement(s) most directly apply to capitalism?
1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only
Answer:
The answer is D, lll only.
Step-by-step explanation:
Just took the test on e d g e!
The statement that most directly applies to capitalism is III only.
Option D is the correct answer.
What is capitalism?It is a system of the economy where means of production and distribution are owned by the private, not the government.
We have,
The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.
Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.
On the other hand,
Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.
Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.
Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.
In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.
Therefore,
The statement that most directly applies to capitalism is III only.
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Let v = (5,-2) and w = (4,10). Which of the following is true? Check all that
apply.
A. V and w are perpendicular.
B. v.w = 20
C. The y-component of wis 10.
D. W = -2(-2,-5)
Answer: The answer is A, C and D
Step-by-step explanation:
The expression that is true for (v) and (w) on the graph can be seen in options A, B and D
What is the expression of data on the graph?The expression of data on the graph takes a standard form of arrangement in terms of (x, y).
From the given information:
v = (5, -2) i.e. we have 5 on the x-axis and -2 on the y axisw = (4, 10) i.e we have 4 on the x-axis and 10 on the y axisIf we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;
w = (2, 5)v = (5, -2)This shows that v and w are perpendicular to each other, and the product of v.w = 20
Similarly, W = -2(-2, -5) because by opening the brackets we have:
W = (4, 10)
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What is the equation for the line in slope-intercept form? will give brainliest
Enter your answer in the box.
Answer:
y = 8x
Step-by-step explanation:
The slope is 8, the y-intercept is 0. The slope-intercept form is written:
y = mx + b
So this situation would be written y = 8x + 0 or just y = 8x.
Hope it helps!
During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.
A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.
What is the probability that a randomly chosen college student exercises in the morning or afternoon?
0.37
0.39
0.62
0.76
Answer:
WARNING! .39 AND .76 IS WRONG.
THE PEOPLE ABOVE ARE INCORRECT.
THE ANSWER IS EITHER .37 OR .62
I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.
(C)
ED2021
The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomesFrom the given Venn diagram, we see that
Probability that the student exercises in the afternoon
P(A) = 0.14 + 0.37 = 0.51
Probability that the student exercises in the morning
P(M) = 0.25 + 0.37 = 0.61
Now, the probability that a randomly chosen college student exercises in the morning or afternoon
P(A ∩ M) = 0.37
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Could someone help me pls with this question it is math !
Answer:
B) 275n + 1000 = 2700
Step-by-step explanation:
n is just a placer holder for how many days the Carter family can vacate.
That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.
Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!
Answer:
I'm pretty sure it's neither? You need a graph or something for that
Answer:
I think its perpendicular
Step-by-step explanation:
When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!
Find the distance between the points. Round to the nearest tenth.
(1, 3) and (5.0)
2+2jjjjjjkkkkkkuyuoo
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
Divide: 1.98 divided by 0.09
Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75
Answer:
0.25
How to Solve:
Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:
16 x 6.25 = 100
Do the same to the numerator:
4 x 6.25 = 25
Now, take 25 and take a decimal point two spaces to the right:
0.25
In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it contain?
1) 760 grams
2) 3,610
3) 30,400
4) 190 or 160 grams
Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.
Answer: James earns $50 more in commission than Rhoda for each laptop sold.
Step-by-step explanation:hope it helps
James earned $50 more than Rhoda.
What is Data?A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.
Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.
Given:
In one month, Rhoda earns $2000 in commission for selling 10 laptops.
For, one laptop = 2000/10
= 200
Now, as from the graph
In one month, James earns $2500 in commission for selling 10 laptops.
For, one laptop = 2500/10
= 250
So, James earned $50 more than Rhoda.
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