Answer:
[tex]\displaystyle \tan A=\frac{4}{3}[/tex]
Step-by-step explanation:
Funciones Trigonométricas
La identidad principal en trigonometría es:
[tex]sen^2A+cos^2A=1[/tex]
Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.
Dado que Sen A = 4/5, calculamos el coseno:
[tex]cos^2A=1-sen^2A[/tex]
Sustituyendo:
[tex]\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2[/tex]
[tex]\displaystyle cos^2A=1-\frac{16}{25}[/tex]
[tex]\displaystyle cos^2A=\frac{25-16}{25}[/tex]
[tex]\displaystyle cos^2A=\frac{9}{25}[/tex]
Tomando raíz cuadrada:
[tex]\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}[/tex]
La tangente se define como:
[tex]\displaystyle \tan A=\frac{sen\ A}{cos\ A}[/tex]
Substituyendo:
[tex]\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}[/tex]
[tex]\displaystyle \tan A=\frac{4}{3}[/tex]
Rational expression please help
Answer:
Option C is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
enton is shopping for clothes during a special event. He pays $24.99 for a pair of jeans and $5.25 for a clearance-priced shirt. He also pays $10 for a belt. How much does Kenton pay for his clothes?
Answer$18.12
Step-by-step explanation:
24.99+5.25-12.12=$18.12
write an explicit formula for a n the nth term of of the sequence 5,15,25
Answer:
an = 10n - 5
Step-by-step explanation:
Write an explicit formula for a n the nth term of of the sequence 5,15,25
An explicit formula for the above question is;
an = a+ (n - 1)d
Where
a = First term
d = Common Difference
n = nth term
We are given the sequence below:
5,15,25
The first term a = 5
Common Difference = 15 - 5 = 10
To find the nth term = an
an = a+ (n - 1)d
an = 5 + (n - 1)10
an = 5 + 10n - 10
an = 10n - 5
According to the frequency chart below, how many people have three or more brothers and sisters?
A. 5
B. 20
C. 39
D. 78
Answer:
B: 20
Step-by-step explanation:
15+
3+
2
-----
20
Factor yz + 6 + y +6z.
z + 1)(y + 6)
(z - 1)(y + 6)
(z + 6)(y - 1)
Mr. McGrath is getting better at math. On his first quiz he scored 57 points, then he scores 61 and
65 on his next two quizzes. If his scores continued to increase at the same rate, what will be his
score on his 9th quiz?
a. 89
b. 93
c. 85
d. 90
I need help on this plss!
A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 19 years after it was purchased, to the nearest hundred dollars?
Answer:
The answer is "$238".
Step-by-step explanation:
Current worth[tex]= \$ 17,000[/tex]
depreciates by [tex]\frac{1}{2}[/tex] in 3 years.
time= 19 years
depreciates rate=?
Using formula:
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]
calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]
[tex]= 8,500[/tex]
so,
[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]
depreciates rate= 20%
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]
Answer:
200
Step-by-step explanation:
Halving Formula:
y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}
y=a(
2
1
)
h
t
a=17000\hspace{40px}h=3\hspace{40px}t=19
a=17000h=3t=19
h is the halving time
\text{Plug in:}
Plug in:
y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}
y=17000(
2
1
)
3
19
y=210.826702215
y=210.826702215
y\approx 200
y≈200
A pair of numbers has an HCF (Highest Common Factor) of 7 , and an LCM (Lowest Common Multiple) of 42 . What is the pair of numbers
Answer:
14 and 21
Step-by-step explanation:
This is not an easy question, but luckily we can have an idea to solve this.
In this case, we need to apply the relation between HCF and LCM, which is the following:
HCM * LCM = Number 1 * Number 2
In other words, the multiplication of both factors is equal to the multiplication of the given numbers that we are looking for. Now, we do not know the numbers but we can have an idea of which numbers can be when we calculate the product of the factors:
HCM * LCM = 42 * 7 = 294
We know that the products should result 294, and if the HCM is 7, means that both numbers can be divided by 7 as the highest factor, so, let's write the multiple of 7:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
With these we can have an idea, if 42 * 7 = 294, all we just need is to find others two numbers that the result gives 294:
14 * 7 = 98
14 * 21 = 294
14 and 21 could be the numbers, but let's confirm writting their multiples
HCM of 14: 1, 2, 7, 14
HCM of 21: 1, 3, 7, 21
LCM of 14: 14, 28, 42, 56, 70
LCM of 21: 21, 42, 63, 84
As you can see, The HCM and LCM of 14 and 21 are 7 and 42, therefore the pair of numbers are:
14 and 21Hope this helps
Write a rational function for the given scenario. There may be more than one correct answer.
Question 1. X-intercept: none
Vertical Asymptote: X = -3
Horizontal Asymptote: y = 0
Question 2. X-intercept: none
Vertical Asymptote X=2 & x= -2
Horizontal Asymptote: y = 0
Question 3 x-intercept: (3,0) & (-3,0) Vertical Asymptote: X=-1 & x= -4
Horizontal Asymptote: y = 1
Question 4. X-intercept: (-2, 0)
Vertical Asymptote: X = 4 & x=-5 Horizontal Asymptote: y=0
Need to make a rational function for each question.
Answer:
Q1: [tex]\frac{1}{x+3}[/tex]
Q2: [tex]\frac{1}{(x-2)(x+2)}[/tex]
Q3: [tex]\frac{(x-3)(x+3)}{(x+1)(x+4)}[/tex]
Q4: [tex]\frac{x(x+2)}{(x-4)^{2}(x+5) }[/tex]
Step-by-step explanation:
If there is a vertical asymptote at x=k, then the denominator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is an x intercept at k, then the numerator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is a horizontal asymptote of 0, then the highest power of x in the denominator must exceed the highest power of x in the numerator.
If thee is a horizontal asymptote of k, then the highest power of x in the numerator and denominator must be the same and the ratio of their coefficients (numerator to denominator) must be k.
help me. ayuda por favor!!!
listen mi amigo
for question #1: M= 0
for number 2: M=14
and number 3:
[tex]m = - \frac{11}{10} [/tex]
Name a possible value for w that is a solution to w > 30, but is not a solution to w < 50. Thank you in advance for the help.
Answer:
i dont know
Step-by-step explanation:E
Does anyone know how to do these proofs, thank u so much.
The coaches of a group of debate teams answered a survey about hours of debate, team practice and number of team wins. The graph shows the results of this survey. Which equation best represents the line of best fit?
a
y = 7x + 5
b
y = -2x + 1
c
y = 4x + 2
d
y = 4x + 8
Answer:
Step-by-step explanation:
287
Route
If you buy 3 shirts, you get 10% discount. If you paid $270 for 6 shirts
what is the original price of a T-shirt?
The original price of 1 T-shirt is $40.50.
We have given that,
If you buy 3 shirts, you get 10% discount.
If you paid $270 for 6 shirts,
We have to determine the original price of a T-shirt
First we are gonna divide 270 by 2
$270 / 2 = $135
This is the price of 3 T-shirts combined.
Find 10% of 135
What s the discount?The discount is the list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
10% of $135 is $13.5
Subtract the discounted price from the price of the 3 combined T-shirt.
$135 - $13.5 = $121.5
This is the price of 3 shirts without a discount.
To find the price of 1 T-shirt divide $121.5 by 3
$121.5 / 3 = $40.5
Therefore the price of 1 T-shirt is $40.50.
To learn more about the original price visit:
https://brainly.com/question/7459025
#SPJ2
How many distinct permutations can be made from the letters of the word
“INDEPENDENCE”?
if anyone could answer, thank you (^-^)
Answer:
360
Step-by-step explanation:
Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1
There are six different letters in INDEPENDENCE
Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is
[tex]^{6}C _{4}[/tex]
and making its arrangements
So total number of ways is
[tex]^{6}C _{4}[/tex] ×4!=360
The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200
We are given the word INDEPENDENCE and it has;
I − oneN - threeD − twoE - fourP - oneC - oneThus, we see that there are six different letters and 12 letters in total in INDEPENDENCE
Now from the question, the distinct permutations that can be formed is;
12!/(3! × 2! × 4!) = 1663200
Read more on permutations at; https://brainly.com/question/12468032
HELP ME PLEASE!
I am currently working on my homework and this question popped up. I don't remember how to do it... If you can, please answer this question and show your work so I can do it next time!
Thank you so much!
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
Angle CAB= 63°
Angle ABC= 90°(right-angle)
ACB=180°-(CAB+ABC)
=180°-(63°+90°)
=180°-153°
=27°
Step-by-step explanation:
Answer:
BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°
Step-by-step explanation:
What percent of 2/3 is 1/6? HELP!!!!! :(
Answer:
Look at the pictures
Step-by-step explanation:
Hope this helps
Andre withdrew spending money from his checking account that initially had $982. What was the amount of his withdrawal, w, if his ending balance was $922.
Answer:
$60.00
Step-by-step explanation:
you subtract the original number with the new number to see the difference.
8 less a number is less than or equal to 17
Answer:
less than
Step-by-step explanation:
8 is less than 17
Answer :n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
help me
6. You have $1.95 in quarters and dimes. You have 12 total coins. How many of each denomination
do you have? IS
Step-by-step explanation:
d+q =12
.25q + .10d = 1.95
d = 12-q
substitute
.25q + .10(12 -q) =1.95
.25q + 1.2 - .1q = 1.95
.15q = .75
q = 5. quarters
d + 5 = 12
d = 7 dimes
Answer:
5 quarters and 7 dimes
Step-by-step explanation:
5 quarters = $1.25
7 dimes = $0.70
7 + 5 = 12
$1.25 + 0.70 = $1.95!!
I hope this helped :)
Also, this answer was calculated by g00gle.
A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute.
Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.
Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)
Answer:
A, C, D
Step-by-step explanation:
We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output
(A) 1*85-85
(B) 0.85*85 = 72.75
(C) 0.2*85 = 14
(D) 3.5*85 = 297.5
(E) 4* 85 = 340
A, C, and D match up
59 + 4/9y
y= -1/2
Thank you
Answer:
=
4 /9 y+59
Step-by-step explanation:
Answer: 58.78 or 58 and 7/9ths
Step-by-step explanation:
59+4/9(-1/2), 59-2/9=58.78 or 58 and 7/9ths
Use the Distributive Property to expand - 7 (x - 2).
Answer:
-7x+14Step-by-step explanation:
Just multiply -7 by the numbers in the parenthesis.
-7 * x = -7x
-7 * 2 = -14
So we have:
-7x--14 = -7x+14
Answer:
-7x+14
Step-by-step explanation:
Distribute
Apply the distributive property.
−7x−7⋅−2
Multiply −7 by −2.
−7x+14
[RevyBreeze]
2. Simplify 7-729.
Please I need help
Answer:
-9
Step-by-step explanation:
If Kaci bought 28 pounds of cheese for $98, how much did she spend per pound?
Answer:3.5
Step-by-step explanation:98 divided by 28 would be $3.5 per pound.
Answer:
$3.5
Step-by-step explanation:
98/28=3.5
Tell whether (-8,2) is a solution of -x-6y>12
Answer:
it ain't
Step-by-step explanation:
x = -8
y = 2
-(-8) - 2(6) > 12
8 - 12 > 12
-4 > 12
This is incorrect
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
6 years
Step-by-step explanation:
$8 per year 48÷8=6 years
Answer:
Dude i don´t eeven know
Step-by-step explanation:
ty for da points tho
(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ
Answer:The guy above me is correct you can give him brainlest.
Have a great day!
look at the pic~ find the area of the figure please
Answer:
164 m^2
Step-by-step explanation:
14*11=154
5*2=10
10+154=164
What is -4 +18 A. -22 B. -14 C. 14 D. 22
Answer:
c.14
Step-by-step explanation:
You can also look at this question as 18-4= 14