4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.
Answer:
k
Step-by-step explanation:
The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
For the diagram shown, the length of side of triangle can be calculated by Sin law as,
x/Sin(42°) = 4/Sin(26°)
⇒ x = 4/Sin(26°) × Sin(42°)
⇒ x = 6.10
Thus, x is greater than 4 cm.
(a) One cannot agree with Madelyn because x is greater than 4 cm.
(b) The value of x can be found by using law of sines.
Hence, the value of x is 6.10 and the diagram is drawn to scale.
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An ice cream shop uses 4 pints of ice cream to make 6 sundaes. The same amount of ice cream was used for each sundae. How many pints of ice cream are used for each sundae?
Answer:
1.5 pints per sundae
Step-by-step explanation:
A map website claims to be available 99.995% of the time (measured in minute long increments). Suppose
that we took random samples of n = 1000 minutes from the population of minutes in a year and
computed the proportion of minutes in each sample for which the website was available. We can assume
the website's claim is accurate.
What will be the shape of the sampling distribution of the proportions of minutes in which the website is
available?
Choose 1 answer:
O Approximately normal
Uniform
Skewed to the right
Skewed to the left
Answer:
Skewed to the left
Step-by-step explanation:
Khan Academy
The shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
What is the sampling distribution of proportion?"The sampling distribution of proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size n".
For the given situation,
Total number of random samples = 1000
A map website claims to be available of time = 99.995%
⇒ [tex]0.99[/tex]
Let us assume the website's claim is accurate.
Sample proportions closest to 0.6 would be most common, and sample proportions far from 0.6 in either direction would be progressively less likely. In other words, the shape of the distribution of sample proportion should bulge in the middle and taper at the ends: it should be somewhat normal.
Hence we can conclude that the shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
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Sofia said, "I'm thinking of a fraction that is equivalent to 5 6 . The numerator is 4 less than the denominator." What fraction is Sophia thinking of?
Answer: 20/24
Step-by-step explanation:
Let the denominator be x
The numerator is 4 less than the denominator. Therefore, numerator = x-4.
We can then use the information given in the question as:
5/6 = x-4/x.
Cross multiply.
5 × x = 6(x-4)
5x = 6x - 24
6x - 5x = 24
x = 24
Since the denominator is 24, the numerator will be: = x - 4 = 24 - 4 = 20
Then, the fraction will be 20/24
ILL MARK YOU EXTRA POINTS PLS HELP Point A is at (-1, -9) and point B is at (2, 4).
What is the midpoint of line segment AB?
Answer:
it's (1/2, -5/2)
Step-by-step explanation:
you can use the midpoint formula.
so do -1+2/2 , -9 +4/2 and then solve and you get the answer
Find the length of C
HELP ASAP PLZ
Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
Can anyone help me!! You don’t have to answer all just one would be fine!
Answer:
3. SinD= 12/15; Sin E= 9/15
4. sinD= 35/37; sinE= 12/37
5. sinD= 28/53; sinE= 45/53
6. Because the numerator should be 12 since that is the side opposite to the angle A.
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzz oh plzzzzzzzzz help
Answer:
y=13/11x+12/11 (assuming you want it in slope-intercept).
Step-by-step explanation:
plz help!!!!!!!!!!!!!!!!!!
Answer:
Game 1
Step-by-step explanation:
I would choose Game 1. Both of the games have the same chance that you will win, but Game 1 has a slightly larger chance that you will win. The chance you will win game one is 3/6, or 1/2, while the chance you will win game two is 2/6.
Hope it helps!
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
what is the slope of the line y=(-2/5)x+y
Answer:
-2/5
The number before the x is the slope.
question 8 is in the pic
Answer:
A. The median score of Class A is greater than the median score of Class B.
Step-by-step explanation:
This is the only true statement.
Hope it helps!
Answer:
A the media score of the class A is greater than the media score of class B
Solve for x.
6x + 10 = 52
Answer:
7
Step-by-step explanation:
well let’s just think that there’s already 10. let’s ignore the 10 for later.
now let’s think about 6x. of course the x is unknown (variable) which we have to find, so what you want to do, (easy way) think of every multiple of the number 6. so that of course includes 6, 12, 18... etc. now if you continue, you will get to the number 42. now it might not click right there but 42... is what we need since we already have the 10. since 42 + 10 = 52, now we just need to find out what 42 divided by 6 is... 7! 7x6 or 7(6) is 42, plus the starting 10 is 52!
therefore, x = 7.
30 tickets are sold for a raffle with two prizes. You bought two tickets. What is the probability
that you will win both prizes?
4,000,900 divided by 1,000
Answer:
4000.9
Step-by-step explanation:
James has $45 in his savings account. Each week, he earns and deposits $100 from mowing the family lawns. Write an equation that represents his total, y, after x weeks.
Answer:
i might have forgot
Step-by-step explanation:
opps
All faces of the wooden chest will be painted except for the bottom.Find the area to be painted,in square inches.
Answer:32 square inches
Step-by-step explanation:
(8x + 9) + (15 - 8x)
Answer:
24
Step-by-step explanation:
Write the prime factorization of 375 and of 1000. How do u write that
Answer:
375 = 3 · 5³
1000 = 2³ · 5³
Step-by-step explanation:
write1/64 as a power of 2
Answer:
2^-6.
Step-by-step explanation:
64 = 2^6
so 1/64 = 1 / 2^6
= 2^-6.
Answer:
64 as a power of 2 is 2 in to 6
Step-by-step explanation:
64=2 times 2 times 2 times 2 times 2 times 2 times 2=2 to 6
EXTRA POINTS ASAP
find the 10th term of the geometric sequence 3,15,75...
What is the equation for the sequence and what calculation was necessary to find the nth term indicated.
HELP I NEED HELP ASAP
Which best describes the linear correlation between x and y?
EASY MATH! 20 POINTS!
What is the initial value of the exponential function represented by the table?
1/8
1/4
1/2
1
Answer:
1/4 i think if not
Find the quotient. 4,610 ÷ 16
show work please <3.
Answer:
2305/8
Step-by-step explanation:
Help guys I really need it
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
8+9=_+8 fill the blank and choose the property of addition
Answer:
9
commutative property of addition
Step-by-step explanation:
8+9=9+8
9.
Find the area of the triangle.
6ft
9ft
Area =
ft?
Enter the answer
Answer:
Area= 24ft squared
Step-by-step explanation:
Area= 1/2 Bh
A= 1/2 9(6)
A= 1/2 48
A= 24ft
10. A medium pizza at Danny's Pizza costs $13.60 plus $2.50 for each topping. At Nicki's Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
Answer:
D
Step-by-step explanation:
I really neeed help ... please help me
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520. Use the drop-down menus to complete the statement about why John is correct or incorrect. CLEAR CHECK John is because 46.52 is 46.520. 46.52×10=
Answer: See explanation
Step-by-step explanation:
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520.
For the first one that is, 38 × 10 = 380, John is correct. For the second one, that is, 46.52 × 10 = 46.520. John is incorrect. In this case, the first one is correct because John was multiplying by a whole number.
For the second one involving a decimal, John could have shifted the decimal point one place to the right and not add 0 to the end. Then he will get:
46.52 × 10 = 465.2