Answers
Answer:
it is D. 5
Step-by-step explanation:
The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A
Answer:
[tex]\boxed{Shortest\ Leg = 5}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg
=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg (Tan 60 = √3)
=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]
=> Shortest Leg = 5
Related Questions
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went up by 25% in 2014. How many robberies were there in Springfield in 2014?
Answers
Answer:
125
Step-by-step explanation:
So saying something went up by 25% means that it is essentially
X + .25X
So in this case X = 100 and .25X = 25
So 100 + 25 = 125
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answers
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
8 elementary classes will be chosen to participate in a school lunch survey. There are 23 elementary classes in the school. In how many ways can the classes be chosen?
Answers
Answer:
490,314
Step-by-step explanation:
This is a combinations problem. The formula is n!/(n-r)!xr!
This is 23!/(23-8)!x8!=
23!/15!x8!=
19,769,460,480/40,320=
490,314
Using the combination formula, it is found that the classes can be chosen in 490,314 ways.
The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 8 classes are chosen from a set of 23, hence:
[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]
The classes can be chosen in 490,314 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answers
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
Help ASAP!! This one's is difficult for me to understand!! Help me please!
Answers
Answer:
Ok so im in 7thgrade so ima try to help answer is x= 8x9
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answers
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answers
Answer:
29
Step-by-step explanation:
To find the lower quartile you need to split it into 2 by finding the median
Set A: 73, 75, 79, 81, 84, 85
Set B: 47, 49, 51, 51, 55, 56
Now you have to find the median of each
A: 80
B: 51
Lastly, you subtract and get 29
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answers
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
Find out more information about prism here:
https://brainly.com/question/12649592?referrer=searchResults
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to sider?
y=-X+9
y=-x+ 5
y=x-3
y= X+3
Answers
Let’s see if I can help you :)!
With two points you can define a line.
So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)
There are different ways to get the line. For instance, this one:
Y = a*x+b
a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,
y = -x + b,
Now use any point, say (3,6) to get b:
6 = -3+b-> b - 9.
Line is y = -x + 9,
It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.
Other method:
y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.
Really hope this helped you!
Answer:
The answer is B
Step-by-step explanation:
PLEASE HURRY!⚠️
Which is a perfect square?
Answers
Answer:
6²
Step-by-step explanation:
A number squared is a perfect square, thus
6² ← is a perfect square
I NEED THIS ASAP, PLEASE HELP ME!!!! WILL MARK BRAINIEST IF CORRECT!!!
Write a real-world situation that includes a data set with 12 values.
Is your data set symmetric, left-skewed, or right-skewed? Explain.
Answers
Answer:
sure
Step-by-step explanation:
I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.
Answers
Answer:
1. Both forward and backward
2. Only forward
Step-by-step explanation:
The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.
The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.
Answer:
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.
Step-by-step explanation:
Image attached: some sort of triangle stuff
Answers
Answer:
C
Step-by-step explanation:
On edg 2020
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answers
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
For more details, refer to the link:
https://brainly.com/question/23535769
Please help with step by step. Thank you.
Answers
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C
Answers
Answer:
The height of the cylinder in 2x units
The area of the cylinder's base is not square units.
Step-by-step explanation:
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answers
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
PLEASE HELP! 10 POINTS Which relation is not a function?
Answers
Answer:
The first relation is not a function.
Step-by-step explanation:
If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.
The first relation is not a function.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center observed that about 60% of its morning appointments were with elderly patients. The table shows the results of a simulation used to represent the scenario. The numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.
Answers
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]
[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105
[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016
[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062
[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432
Answer:
Step-by-step explpointsanation:
The questions no l and p.
please help me as soon as possible!!!!!
Answers
Answer:
l = 2cosΘ p = see attachment
Step-by-step explanation:
√2+√2+2cos 4Θ
√2+√2(1 + cos 4Θ)
√2 + √2(2 cos² 2Θ)
√2 + √4 cos² 2Θ cos 2Θ = 2 cos²Θ - 1
√2 + 2cos 2Θ
√2(1 + cos 2Θ)
√4cos²Θ
2cosΘ
Answer:
Step-by-step explanation:
I'm only going to do the first one, because the tangent problem is going to give us both night mares.
Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).
cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1
2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2
2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4
(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2
sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2
=====================================
sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS
Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount
Answers
Answer:
E. lower principal amount
Step-by-step explanation:
We can use an example to show how this works:
You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.
If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.
Instead, if you make a 20% down payment, your initial principal = $16,000, and your monthly payment will be $339.95, your total payments = $20,397.16 and the total interests = $4,397.16.
Answer:
E. lower principal amount
Anyone know this need help please
Answers
Answer:
81.1
Step-by-step explanation:
The formula to find the cirumference is C=πd
We know d=diameter
so.. C=25.8π
That's gives us 81.053
round it after to approximately 81.1
Answer:
find the equation to find a circumference of circle with that diameter
Step-by-step explanation:
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Answers
Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00
Answers
Answer:
$112.50
Step-by-step explanation:
So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.
So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answers
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
calculate the radius and diameter of the circle
Answers
Answer:
radius is 12, diameter is 24
Step-by-step explanation:
it is a 15-12-9 triangle
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?
Answers
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
helppppp idk how to do that?
Answers
Explanation:
360 = POR + OPT + ORT + 44
OPT = ORT = 90 (line TP and TR tangent to the circle)
360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136
B). OPTR is a kite because OP = OR and TP = TR
Definition of a kite:
A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.
Identify the types of number
Answers
Answer:
1 surds
2 fraction
3 decimal
4 negative
5 positive
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answers
Answer: i think the answer is 1.5
Step-by-step explanation: