3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.
Answers
The exact area of triangle ABC is 93.51 cm².
The given parameters;
Height of the triangle, h = 18 cmThe base of the triangle is calculated by using trigonometry ratio as follows;
[tex]tan (30) = \frac{b}{18} \\\\[/tex]
where;
b is the base of the triangle ABC[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]
The area of the triangle ABC with the calculated base and given height is calculated as follows;
[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]
Thus, the exact area of triangle ABC is 93.51 cm².
Learn more about area of a triangle here: https://brainly.com/question/23945265
Related Questions
It is the policy of stores owned by the Talkara Co. to give out bonuses to salespeople every six months. The size of the bonus is determined by averaging (taking the mean of) the two highest and the lowest monthly sales totals from the six-month period, taking 8% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period.If there are six salespeople, how much money will each one receive, to the nearest dollar? a. $243 b. $309 c. $324 d. $355
Answers
Answer:
c. $324
Step-by-step explanation:
The solution is,
A) 83/400= 0,2075
B) 100/400=0,25
C) 42/400= 0,105
D) 42/100= 0,42
E) The special training program was effective.
What is division?Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Explanation:
Total population= 400 salespeople
Received a bonus last year= 83 salespeople
Attended a special sales training program= 100 salespeople
Both attended sales training and received a bonus= 42 salespeople
a) You need to calculate the number of salespeople that receive a bonus over total population
83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075
b) You need to calculate the number of salespeople that attended a special program over total population
100/400= 0,25 The proportion of salespeople that attended a special program is 0,35
c) 42/400= 0,105 The proportion of salespeople that receive a bonus and attended a special program is 0,105
d) You need to calculate the proportion of people that having attended received a bonus.
42/100= 0,42 The proportion of salespeople that receive a bonus having attended a special program is 0,42
e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.
To learn more on division click:
brainly.com/question/21416852
#SPJ7
Complete question:
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.
Question Two :
A discrete random variable X has negative binomial distribution,
with 6 successes required each with probability of success 0.4
Determine the value of ...
a) ...E(X).
b) ... Var( X)
c) ... P ( X = 12).
Answers
Using the negative binomial distribution, it is found that:
a) [tex]E(X) = 15[/tex]
b) [tex]Var(X) = 6.67[/tex]
c) [tex]P(X = 12) = 0.0883[/tex]
Negative binomial distribution:
It is the number of trials until q successes of a binomial variable, with p probability of success.
The expected value is:
[tex]E(X) = \frac{q}{p}[/tex]
The variance is:
[tex]Var(X) = \frac{pq}{(1 - p)^2}[/tex]
The probability mass function is:
[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the parameters are: [tex]q = 6, p = 0.4[/tex].
Item a:
[tex]E(X) = \frac{6}{0.4} = 15[/tex]
Item b:
[tex]Var(X) = \frac{6(0.4)}{(1 - 0.4)^2} = 6.67[/tex]
Item c:
[tex]P(X = 12) = C_{17,5}(0.6)^12(0.4)^6 = 0.0883[/tex]
To learn more about the negative binomial distribution, you can take a look at https://brainly.com/question/15246027
When you’re driving and your instructor tells you to do a shoulder check, do you look directly to the right and left or behind your shoulder
Answers
Answer:
If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.
A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions
are multiple choice and how
many of the test questions are True/ False?
# of true/false questions =
# of multiple choice questions =
THIS IS ALGEBRA PLEASE
Answers
Answer:
I've done alot of calculations on this but I cant get a definite answer I hope you got it I'm sorry I couldn't help you I tried but only got into a dead end
Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?
Answers
It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.
In Economics, the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."
In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.
learn more:
https://brainly.com/question/25585026
identify the graph of the rational function with an x-intercept at (-4,0) and (4,0), a vertical asymptote at x=2, and an oblique asymptote at y=x+2
Answers
Answer:
(0,2), (1,3)
Step-by-step explanation:
A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.
Answers
Answer:
$245,000
Step-by-step explanation:
Let the intial cost = x
[tex]100\% + 36\% = 136\% = 1.36[/tex]
[tex]1.36x = 333200[/tex]
[tex]x = \frac{333200}{1.36} [/tex]
[tex]x = 245000[/tex]
solve this: 23.769km-----?-----m
Answers
1 km = 1000 m, so:
23,769 km = 23,769 · 1000 m = 23 769 m
Answer:
23769m
Step-by-step explanation:
Basicly, 3.769x 1000= 23769m
Please mark brainliest
atteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct? Explain your reasoning.
Answers
Answer:
he is incorrect.
no one can run for 5 miles everyday.
if so, my man atteo is a legend.
Help me with this question lol
Answers
Answer:
i think that it would be 0
write 321.51 to the nearest tenths
Answers
Step-by-step explanation:
321.5 is the correct answer
The tenths is the number after the decimal points always
EXAMPLES
3.4
4.2
You get the point.
Now to round you look at the second number if it is lower than 5 make it a zero
321.50 is equivalent to 321.5
So that's the answer: 321.5.
(If the thingy is bigger than five make the number left to it increase by one)
(If it's equal to five make the number increase, different places have different rules)
Help me please I don’t wanna fair math
Answers
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
I am so bad at this.Do you know the answer?
Answers
Answer:
it's for sure option (B) cuz it's represented in the form of a straight line which means it's linear!
hope helpful~
Answer:
B
Step-by-step explanation:
I thinks its the best answer
let f(x)=3x^2-6x+5 what is the leading coefficient
Answers
estimate a 15 tip on a restaurant bill of $24.55
Answers
Answer:
39.55
Step-by-step explanation:
24.99+15=39.55
That is how you get your answer :)
Answer:
1.89
Step-by-step explanation:
.15 x 24.55=1.89
Which equation demonstrates the multiplicative identity property?
(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i
Answers
Answer:
C (-3 + 5i) (-3 + 5i) = -16-30i
Step-by-step explanation:
EDGENUNITY
PLS HELP ME WITH GEOMETRY PLSAND THANK YOU
Answers
Answer:
Yes
Step-by-step explanation:
They are equal acute triangles, are congurent. Your welcom
1
1.
A random variable X has expected value
and probability distribution as
12
follows:
X
-3
-2
-1
0
1
N
3
f(x)
a
2a
1
1
1
b
сле
b b
2
5
10
5
(a)
(b)
Find the values of a and b.
Find E[X2 + 1].
(8 marks)
Answers
Answer:
huh
Step-by-step explanation:
how do i do math in division fractions?
Answers
Answer:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
Answer:
Keep change flip!
Step-by-step explanation:
Example 1/2 divided 3/4
We simply keep 1/2 and then we flip the 3/4 which is now 4/3
now we also flip the division sign which its opposite is multiplying now its simply 1/2 x 4/3 and you get 4/6. Hope this helps please mark brainliest!
How do you balance a firm’s need to succeed and the need for not asking the workers for perfection?
Answers
The way to balance a firm's need to succeed and the need for not asking the workers for perfection is through the offering of training to workers, which allows them to notably improve their performances autonomously, without this being directly instigated by the company's directory.
That is, through the education of workers in the different areas of their jobs, the level of the same will be improved and better results will be obtained.
Learn more about perfectionism in https://brainly.com/question/7277328
Mr. Hare left at 8:00 a.m. and is traveling 40 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 50 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare is at the same location as Mr. Hare?
A. 11:00 a.m.
B. 1:00 p.m.
C. 2:00 p.m.
D. 3:00 p.m.
Answers
Answer:
The answer is b
Step-by-step explanation:
During the 8-9 , Mr hare travel 40miles
For the time 9 onwards they travel concurrently,
Let x be the distance covered by both since they can only meet if they covered the sams distance,
x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr
x/40 - x/50 = 1
x = 200
Time take by Mr Hare = 200/ 40 = 5
from 8 add 5 hours will be 1
Note, i took this answer from an answer from another answer.
What is (3*7) divided by 5
Answers
Answer:
The answer is 4.2,
Hope that helped. x
Step-by-step explanation:
3 x 7 (3*7) = 21
21 divided by 5 = 4.2.
Answer:
4.2
Step-by-step explanation:
Using PEMDAS,
ParenthesisExponentsMultiplicationDivisionAdditionSubtractionWe know that to solve (3*7) divided by 5, we will need to solve what is in the parenthesis.
So, we need to figure out what is 7*3, which is 21.
This is what we have right now:
21 divided by 5
The next step is dividing,
We divide 21 by 5 to get 4Multiply the quotient digit (4) by the divisor 5Subtract 20 from 21Add a decimal place and a zero to the dividend, bring down the zero from the dividendDivided 10 by 5 to get 2Multiply the quotient digit (2) by the divisor 5Subtract 10 from 10The solution for the division is 4.2In the end, the answer is 4.2, hope this helped!
Help help help help math ASAP
Answers
Answer:that is 0.01541
Step-by-step explanation:
someone help please i don’t want to fail math
Answers
Answer:
Image below!
Step-by-step explanation:
Plotting [tex]\underline{y=2x+3}[/tex]
Step 1: determine the y-intercept
[tex](0,3)[/tex]
plot the point as the first point on the graphStep 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)
Step 3: Go to the other side of the graph of the first point (y-intercept)
move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)When you've completed this process, it should look like this:
Plsssssssssssssssssss
Answers
Answer:
18.6cm
Step-by-step explanation:
there is a theorem that states that the midsegment of a triangle (midpoint to midpoint, in this case X and Y) is half of the base (in this case BC)
when applied to the triangle shown:
XY= 1/2 BC
substitute to get
XY=1/2*6.4
XY=3.2
perimeter of BCYX
=XY+YC+CB+BX
=3.2+4+6.4+5
=18.6cm
hope this helps
Find the value of B.
200 + 50 + B = 100 + 47 + 10 + 100
Answers
Answer:
The value of B is 7.
B = 7
Answer:
B = 7
Step-by-step explanation:
first 100 + 47 + 10 + 100 = 257
second 200 + 50 = 250
257 - 250 = 7
A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?
Answers
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.
Answers
Answer: 26 = 4x + 10 and Cheryl goes running four times per week.
Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.
another fraction problem. Have tried this one a couple of times and cant find fault in what i did
Answers
Answer:
Perimeter = 12 1/2 in
Area = 9.375 in
Step-by-step explanation:
Perimeter:
(3 3/4) + (3 3/4) + (2 1/2) + (2 1/2) = 12 1/2
Area:
(3 3/4) * (2 1/2) = 9.375
Answer:
P = 12 1/2 in
A = 9 3/8 in²
Step-by-step explanation:
L = 3 3/4 in
W = 2 1/2 in
Area:
A = L × W
A = (3 3/4 in)(2 1/2 in)
A = 15/4 in × 5/2 in
A = 75/8 in²
A = 9 3/8 in²
Perimeter:
P = 2(L + W)
P = 2(3 3/4 in + 2 1/2 in)
P = 2(15/4 in + 5/2 in)
P = 2(15/4 in + 10/4 in)
P = 2(25/4 in)
P = 25/2 in
P = 12 1/2 in
En el siguiente trapecio calcular el valor de la base mayor x
Answers
Answer:
x = 20°
Step-by-step explanation:
OA = OB
so 140°+x°+x° = 180°
140+2x = 180
2x = 40
x = 20°