Answers
This is a 30-60-90 right triangle.
In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.
Related Questions
Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet
per person, what is the maximum number of people that could attend this event?
Answers
Answer:675
Step-by-step explanation:
There are 39 rows of seats at the soccer field. Each row has 25 seats. Which
expression can be used to find the total number of seats? (correct answer - 1 points)
A) (30 x 20) + (9 x 5)
C.) (39 x 20)+(39 x 5)
B.) (39 x 2) + (39 x 5)
D) (39 x 20) + (39 x 50)
Answers
Answer:
C.) (39 x 20)+(39 x 5)
Step-by-step explanation:
to multiply 39 by 25, you multiply 39 by 20, and then multiply 39 by 5
When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.
Answers
Answer:
Its normal value would be 50 beats per minute.
Step-by-step explanation:
20% = 10bpm
40% = 20bpm
60% = 30bpm
80% = 40bpm
100% = 50bpm
help please thanks plsss
Answers
Answer:
A
area = 256 inches²
side = √256 = 16 inches
B
0.0063 inch = 6.3 × 10^-3
help please triangles and trig
Answers
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180
Answers
Answer:
n=11
Step-by-step explanation:
(11-2) 180
9×180=1620
AABC is dilated by a factor of į to produce AA'B'C!
37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°
Answers
Answer:
A'C = 45, m A' = 37
Step-by-step explanation:
You find the 45 by multiplying 15, the length of A'C by 3 to find the original size.
What is the solution of x+15(x−1)=1?
Answers
Answer:
1
Step-by-step explanation:
for solve the bracket we have to multiply 1/5 for x and for -1
x+1/5x-1/5 = 1
now we have to multiply the two members of the equation by 5
5(x+1/5x-1/5) = 5
5x + x - 1 = 5
now we have to sum 1 at both members
5x + x -1+1 = 5+1
6x = 6
at least we have to divide the two members by 6
x = 1 that is the solution of the equation
Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
Required:
a. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches).
b. Find the probability that the second ball is yellow.
Answers
Answer:
See Annex for tree diagram and all probabilities
b) P(2y) = 0,329
Step-by-step explanation:
a) Attached
b) Probability of the second ball is yellow P(2y) is equal to the probability of the second ball is yellow given that the first one is black ( 0,204 ) plus the probability f the second ball is yellow given that the first one is yellow ( 0,125)
P(2y) = 0,204 + 0,125
P(2y) = 0,329
please help im stuck on this
Answers
Answer
The slope is 2
Step-by-step explanation:
HELP HELP !! & PlEASE SHOW WORK ! What would be the compound interest rate if Tom borrowed $6,000 at a 3% interest rate for 2 years?
$365.40
$185.40
$180.00
$250.00
Answers
Answer:
Compound interest = $365.4
Step-by-step explanation:
Given:
Amount borrowed = $6,000
Rate of interest = 3%
Number of year = year
Find:
Compound interest
Computation:
A = P[1+r]ⁿ
Amount after 2 year = 6,000[1 + 3%]²
Amount after 2 year = 6,000[1 + 0.03]²
Amount after 2 year = 6,000[1.03]²
Amount after 2 year = 6,000[1.0609]
Amount after 2 year = 6,365.4
Compound interest = Amount after 2 year - Amount borrowed
Compound interest = 6,365.4 - 6,000
Compound interest = $365.4
11 /5,786
what does the r mean
Answers
Step-by-step explanation: The set of real numbers is denoted using the symbol R or. and is sometimes called "the reals".
Answer:
r mean remainder
r = 0
Step-by-step explanation:
[tex]5786 \div 11 = 526 \\ qoutient = 526 \\ remainder \: r = 0[/tex]
Write the decimal in expanded form: 8.6 ( no file or no link i will give brainliest if you are correct)
Answers
Answer:
8+0.6 is the expanded form I believe
Step-by-step explanation:
The whole number always comes first in decimal expanded forms, in this case, 8 is the whole number. Then you add the decimal part which is 0.6. So 8+0.6=8.6.
Answer:
notation is) 8 + 0.6
factor is) 8*1 + 6+.1
exponential is) 8^10^0 and 6^10^-1
word is) eight point six
Step-by-step explanation:
Which angle is EDF.
Answers
Answer:
d
Step-by-step explanation:
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answers
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
Need help fast!! Need steps also
Answers
Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
Which of these are line(s) of symmetry?
A. Neither line
B. Only the solid line
C. Only the dashed line
OD. Both lines
Answers
Answer:
d:both lines
Step-by-step explanation:
.........
Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)
Answers
Explanation: to get to point c (pink) to the other point c (blue) you need to go back 2 spaces which will makes it negative and go up one space which is positive.
Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?
Answers
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *
Answers
Answer:
80% of the class is made up of boys
Step-by-step explanation:
7/35 are girls, which means, 28/35 are boys (35 - 7)
To find the percentage, you divide 28 by 35
28/35 = 0.8 or 80%
PLEASE HELP ME THE QUESTION IS ON THE PICTURE!!!!!
Answers
But not sure about the rest, sorry
molly makes 5 gallons of soup in a pot then she fills bowls that each hold 1/16 gallon of soup until the pot is empty how many bowls did she fill completely
Answers
Answer: 80 cowls
Step-by-step explanation:
5/(1/16)
Find the distance between the points. (5,10) (5,4)
Answers
Answer:
.
Step-by-step explanation:
Answer:
6 squares
Step-by-step explanation:
In a given survey, 9 people say their favorite color is pink. The number represented 45% of the total people. How many people took the survey?
Answers
Answer:
405
Step-by-step explanation:
1% - 9 people
45% - 9 × 45 = 405 people
Answer:
Step-by-step explanation:
It’s 780 trust
5.3d = 42.4
pls help
Answers
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
What is the slope of the function y = –6x – 3?
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
y = a * x + b --> slope is a = -6
Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?
Answers
Answer:
5 outfits
Step-by-step explanation:
The number of many different outfits does Sarah have to choose from should be 32.
Calculation of the number of different outfits;Since She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.
So here the number of distinct outfits should be like
[tex]= 2\times 8 \times 2[/tex]
= 32
hence, The number of many different outfits does Sarah have to choose from should be 32.
Learn more about number here: https://brainly.com/question/24604425
help pleasee!! No links!!
4*(3.4 + 2) - (56 divided by 7) = 13.6, please givee an explanation for this/solution!!
Answers
Answer:
13.6
Step-by-step explanation:
[tex] 4 \times (3.4 + 2) - (56 \div 7) = [/tex]
We must follow the correct order of operations.
We do what is in the parentheses first.
[tex] = 4 \times 5.4 - 8 [/tex]
Now we do the multiplication.
[tex] = 21.6 - 8 [/tex]
Finally, we subtract.
[tex] = 13.6 [/tex]
Answer: 13.6
What is the formula of the surface area solved for r?
Answers
This is the best answer for this question
Answer:
Option CStep-by-step explanation:
It is the correct answer I explained in your next question
Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1
% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?
Answers
Answer:22215
Step-by-step explanation: got it from delta math
After 16 years Angel would have amount $22942 more money in his account than Jackson.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
Investment of Jackson, p = $81000
Rate of interest, r = 6 1/2%
⇒ [tex]6.5\% = 0.065[/tex]
Interest is compounded monthly, so n = 12
Number of years, T = 16
Investment of Angel, p = $81000
Rate of interest, r = 7 1/8%
⇒ [tex]7.125\% = 0.07125[/tex]
Interest is compounded quarterly, so n = 4
Number of years, T = 16
The formula of amount in compound interest is
[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]
Jackson's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]
⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]
⇒ [tex]A=81000(1.0054)^{192}[/tex]
⇒ [tex]A=81000(2.8123)[/tex]
⇒ [tex]A=227798.13[/tex]
Angel's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]
⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]
⇒ [tex]A=81000(1.0178)^{64}[/tex]
⇒ [tex]A=81000(3.0955)[/tex]
⇒ [tex]A=250739.62[/tex]
After 16 years, how much more money would Angel have in his account than Jackson is
⇒ [tex]250739.62-227798.13[/tex]
⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]
Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.
Learn more about compound interest here
https://brainly.com/question/13155407
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