b Answer:
Step-by-step explanation:
Find the missing side. Round to the nearest HUNDRETH.
*
10 points
X
240
12
5.34
6.98
O
12.42
5.25
Answer:
A. 5.34
Step-by-step explanation:
Reference angle = 24°
Opposite = x
Adjacent = 12
Thus, applying trigonometric ratio, we have:
tan (24) = x/12
Multiply both besides by 12
12*tan (24) = x
x = 5.34 (nearest hundredth)
The length of a rectangle is 11 centimeters less than six times its width. Its area is 21 square centimeters. Find the dimensions of the rectangle.
Answer:
The width is 3cm, and the length is 7cm.
Step-by-step explanation:
Let's call the length of the rectangle [tex]l[/tex], the width of the rectangle [tex]w[/tex], and the area of the rectangle [tex]A[/tex], and write down everything we know about them.
The length of the rectangle is 11 centimetres less than six times its width, so we know that [tex]l = 6w - 11[/tex].
We also know that [tex]A = 21[/tex]. But what exactly is the area of a rectangle? Well, it's the product of its length and width, i.e. [tex]A = l\times w[/tex].
Then we have two equations involving [tex]l[/tex] and [tex]w[/tex]:
[tex]l = 6w - 11[/tex], and [tex]l\times w = 21[/tex].
So how do we find [tex]l[/tex] and [tex]w[/tex]? Let's substitute our first equation into our second, like so:
[tex]l \times w = (6w - 11) \times w\\{}\hspace{0.8cm}= 6w^2 - 11w\\{}\hspace{0.8cm}= 21[/tex]
We can rearrange this new equation to get everything on the same side, so that we have a standard quadratic equation, like this:
[tex]6w^2 - 11w - 21 = 0[/tex].
We can use the quadratic formula for this. You should have seen this before:
[tex]w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex],
where [tex]a,b,c[/tex] are the coefficients of our quadratic equation. Plugging the values in, we see
[tex]w = \frac{11\pm\sqrt{121+504}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm\sqrt{625}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm25}{12}[/tex].
With a little further cancellation, we can find our two possible values of [tex]w[/tex] are
[tex]w = \frac{36}{12} = 3[/tex] and [tex]w = \frac{-14}{12}[/tex].
Since [tex]w[/tex] is a width of a rectangle, it can't possibly be negative, and so it must be 3.
We can now plug in this value into our equation from earlier, namely [tex]l = 6w - 11[/tex]. We can see that
[tex]l = 6\times 3 - 11 = 18 - 11 = 7[/tex],
and so we get our answer, [tex]w = 3[/tex]cm, [tex]l = 7[/tex]cm.
We can prove that this is right by multiply 3 and 7 together, and seeing that we get 21, the area we expect.
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
Select the correct answer.
What is the LCM of the numbers 3, 6, and 9?
A.
9
B.
18
C.
36
D.
54
Answer:
D
Because you have to find out what they could all equal up to
Answer:
d
Step-by-step explanation:
Probability of picking e
Answer:
The answer is B or 1/5/
Step-by-step explanation:
We know that it hold the letters A,B,C,D, and E. That makes it have 5 different letters in it. There is only one of each letter in the box too. This makes it have a 1/5 of a chance of picking the letter E.
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
please help I have attached a picture
Answer:
option 3
Step-by-step explanation:
u can eliminate option 1 and 4 because the circles are empty and this problem has an equal to sign. the greatest number x can be is -2 because that would make the left side of the equation equal to three. Therefore x must be less than or equal to -2 to make the equation true(as graphed)
Determine the value of a.
A) 6
B) 70
C) 7
D) 10
Answer:
C
Step-by-step explanation:
SU/UR = ST/QT
10/7=10/x
70=10x
7=x
A=7
Have a nice day :)
joanne is buying a pair of shoes in europe. the length of her foot is 27.5cm
Helppppp!!!!!!!!!!!!
Answer:
y = 2/3x
Step-by-step explanation:
Solve 3 - x=-9
a. x=16
b.x=12
c.x=-6
d.x=12
Answer:
3 - x =-9
3+ 9 =x
x = 12
so, correct answer
x =12
What is the solution of 3sqrtx+8=-4
Answer:
No solution
Step-by-step explanation:
Please write this as 3 sqrt x + 8 = -4.
Note that if we try to isolate 3 sqrt x by subtracting 8 from both sides, we get 3 sqrt x = -12. There is no real solution; sqrt x can never be negative.
Solve for x in the triangle,round your answer to the nearest tenth
Part a identify the similar triangles in the above diagram
Answer:
it's a scalene triangle whose all sides are different
Zara want to purches a new shirt for $19.98 and a pair of sneakers for $64.95.She only has $73.17 saved.How much more money dose she need to purchase the new shirt and the sneakers.
A. 158.10
B. 11.76
C. 84.93
D. 11.84
B) is Your answer
11.76
Step-by-step explanation:
[tex]19.98 + 64.93 = 84.93[/tex]
[tex]84.93 - 73.17 = 11.76[/tex]
is Your perfect answer
SOMEONE HELP ME SOLVE THis.
Answer:
shiiiii i dont no Nlgga
Step-by-step explanation:
According Two data from the 2010 United States Census 83.7% of Americans lived in the metropolitan area suppose maria researcher takes a random sample of 125 Americans and find that 98 live in the Metropolitan area let P hat represent the sample proportion of Americans that live in a metropolitan area what are the mean and standard deviation of the sampling distribution of P hat provide your answer rounded to three decimal places
Answer:
Mean is 83.7%
And, the standard deviation is 0.033
Step-by-step explanation:
The computation of the mean and the standard deviation is as follows:
Let us assume the P be the sample proportion
Mean is 83.7%
And, the standard deviation is
[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]
= 0.033
You have a problem. You are running out of M&Ms (the candy). Originally, you had 200 small pieces. Last week, you got a little excited and ate 151 pieces of your original amount in one week (7 days). You are determined to last the remaining M&Ms for exactly one more week. If you eat the same amount every day, how many pieces will you be able to eat each day?
Create an equation to show how you would find the number of M&M pieces you could now have each day.
What is the answer to your equation in part 1? What steps did you take to solve your equation?
Please explain how you know your equation is correct.
Answer:
49 = 7m
m = 7
Step-by-step explanation:
200 - 151 = 49
There are 49 M&M's left
m = M&M's per day
7(7) = 49
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
200 - 151 is 49 so 7 beacuase 49 divided by 7 is 7
A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that [tex]p = 0.18[/tex]
You randomly select 15 students
This means that [tex]n = 15[/tex]
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]
[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]
[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Calvin saved 1/4 of the price of the car he wanted to buy which fraction is 1/4 A 2/12
B 5/20
C 2/16
D 5/25
Answer:
1/4 = 5/20
Step-by-step explanation:
1/4 = 5/20
Answer:
Step-by-step explanation:
1/4 is equivalent only to B (5/20). To check this, try dividing 20 into 5 with a calculator; you should get 0.25 = 5/20
PLEASE HELP ITS REALLY URGENT
HELPPP ITS QUESTION 17 BTW
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
Y=2+ square root of x-8 solve for x
Answer:
Step-by-step explanation:
y = 2√(x-8)
y² = 4(x-8) = 4x-32
4x = y²+32
x = 0.25y² +8
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 250ft per hour. The tortoise takes 8hrs longer than the hare to finish.
a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
Nick Sarah and Gavin share sweets in the ratio 2.33 Nick gets 28 sweets how many did Gavin get
Answer:
42
Step-by-step explanation:
hope this helps!;)
Best Buy bought a television for $175. Then,
Best Buy sold it for $360. What percentage
was the markup?
Answer:
105.7143%
Step-by-step explanation:
pls make me brainliest
AN algebraic expression for -8 subtracted from -x is
Answer:
-x-8
Step-by-step explanation:
hope this helps
Answer:
if it is -8 subtracted from -x then
-x-(-8)
if it is 8 subtracted from x then
x-8
60° 2x + 149 degrees
Answer:
x = 23
Step-by-step explanation:
60°=x+14
60+14=84=X
(5+5) + (5 + 6) + (5 + 7) + (5 + 8) + .... + (5 + 14) + (5 + 15)
(11 times 10) + what number?
A, 15
B, 50
C, 55
D, 99
Answer:
C: 55
Step-by-step explanation:
Rearrange the bracketed terms to:
(10 + 0) + (10 + 1) + (10 + 2) + ... + (10 + 10)
There are 11 brackets so we have (11 * 10) + (0 + 1 + 2 + ... + 10) =
(11 * 10) + 55
A coin is tossed and six sided die numbered 1 through 6 is rolled. Find the probability of tossing a tail and then rolling a number greater than 1.
Answer:
5/12
Step-by-step explanation:
A coin has two faces (H, T)
n(S) = 2 (sample space)
If it is tossed and a rail is gotten,
n(E) = 1 (event)
Probability of tossing a tail = n(E)/n(S)) = 1/2
If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}
n(S) = 6
Number greater than 1 are the evens E = {2, 3, 4, 5, 6}
n(E) = 5
pr(rolling a number greater than 1) = 5/6
Hence the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6
= 5/12