Answers
Answer:
57
Step-by-step explanation:
Related Questions
Given the triangle below, find the angle θ in radians. Round to four decimal places.
Answers
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]
Use the inverse cosine ratio
[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
[tex]\displaystyle \theta=0.9626[/tex]
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Answers
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
WILL MARK AS BRAINLIEST
Answers
Answer:
... uhh I'm only in middle school but uhh I think 25??
∠2= ∠5 , because they are
(I) Corresponding angles
(II) Alternate angles
(III) Co- interior angles
(IV) Linear pair
Answers
[tex] \sf \red {alternate \: angles}[/tex]
[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]
7 + 3x - 12x = 3x+ 1
Solve for x
Answers
Answer:
x = 1 /2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable
decimal form will be: x = 0.5
hope that helps>3
please help will bark brainliest
Answers
Answer:
A.
Step-by-step explanation:
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
(2 months isn’t the answer btw)
Answers
The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Given that:
[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]
To calculate the profit, we simply substitute the values of t in the above equation.
(a) 5 months
This means [tex]t =5[/tex]
So, we have:
[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]
[tex]P(5) = 0[/tex]
(b) 3 months
This means that [tex]t=3[/tex]
So, we have:
[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]
[tex]P(3) = -6[/tex]
(c) 2 months
This means that [tex]t = 2[/tex]
So, we have:
[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]
[tex]P(2) = 0[/tex]
(d) 1 month
This means that [tex]t = 1[/tex]
So, we have:
[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]
[tex]P(1) = -4[/tex]
For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).
Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Read more about functions at:
https://brainly.com/question/24314573
Help please asap first answer get brainliest
Beging you please
Answers
Answers:
12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15
13. 2/4*4/6 = 8/24 = 1/3
14. 3/4*3/6 = 9/24 = 3/8
15. 2/6*4/6 = 8/36 = 2/9
16. 2/4*1/6 = 2/24 = 1/12
17. 3/4/1/6 = 18/4 = 9/2
18. 3/4/2/4 = 12/8 = 3/2
19. 3/6/4/6 = 18/24 = 3/4
20. 5/7+2/7 = 7/7 = 1
21. 4/5+5/7 = 53/35
22. 3/5+5/5 = 8/5
23. 1/6-1/6 = 0
24. 3/7-2/3 = -5/21
25. 3/5-2/7 = 11/35
help me do this plz
Answers
Answer:
X= –10
[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]
I hope I helped you^_^
You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?
Answers
9514 1404 393
Answer:
20 years
Step-by-step explanation:
The interest earned is found using the formula ...
I = Prt
where principal P is invested at rate r for t years. Solving for t, we find ...
t = I/(Pr) = $900/($1500×0.03) = 900/45
t = 20
You must leave the money in the account for 20 years to earn $900 in interest.
if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?
Answers
Given,
l/b=3/4
=> l = 3b/4
We have,
P = 2(l+b)
=> 21 = 2(3b/4 + b)
=> 21*2= 7b
=> b = 6cm
Similarly,
l = 4.5cm
Thus, Area = l*b
=> Area = 4.5*6
=> Area = 27cm^2
Choose the correct statement. Consider the expression: 6.43
А
The product of one rational number and one irrational number is rational.
B
The product of one rational and one irrational number is irrational.
C
The product of two irrational numbers is irrational.
D
The product of two rational numbers is rational.
Answers
Answer:
D
Step-by-step explanation:
Goky kwiwiwjwjjwiwjwiw
In a group 40% like football ,70% like cricket and 30% like both games
Answers
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
Please help
Solve the inequality.
|14 – 5x] > 8
[?]
x <
or x >
A
Answers
Answer:
x< -4/1 or x > 6/5
If our answers are different, just say so :)
Find NL. Not sure to to solve this.
Answers
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
X +24 = 2x +32
24-32= 2x-x
X = -8
NL = x+24
NL = -8+24
NL = 16
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
Answers
Moly and Lynn both set aside money weekly for their savings. Molly already has $650 set aside and adds $35 each week. Lynn already has $825
set aside but acids only 515 each week. Which inequality could they use to determine how many weeks, it will take for Mollys savings to
exceed Lyon's savings?
Answers
Answer:
650+35w>825+15w
Step-by-step explanation:
What is the value of X minus Y if x equals 9 and Y equals -20
Answers
doneeee
On a scatter plot, what is the difference between a positive and a negative correlation
Answers
Answer:
Positive correlation means that as the first variable increases, the second variable increases as well. ... Negative correlation would mean that as one variable increases, the second variable decreases. Negative correlation corresponds to points that move down as you go from left to right on your scatter plot
Hope this helps you!
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70
Answers
Answer:
B: $0.60
Step-by-step explanation:
4x+6=8.40
4x=2.40
2.40 / 4 = .6
.6 = 0.60 or 60 cents
Answer:$0.60
Step-by-step explanation:
A bag a kibble is 6$
Subtract the cost for the kibble to the cost of all products.
$8.40
- $6.00
$2.40... is the cost for all 4 cans of cat food.
Then divide $2.40 by 4... That will be B) $0.60
Which graph represents the function below?
h(x)= {-3x+2, x ≤ 2}
{1/2x -4, x > 2}
Answers
Answer is the third graph it was just an error..
Select all that apply please!
Answers
Answer:
x= –4/5 , x= 2
Step-by-step explanation:
5x²-6x-14=-6
5x² –6x –14 +6=0
5x²–6x –8=0
(5x+4)(x-2)=0
x=–4/5
x=2
Hi! I'm happy to help!
To solve this, we simply have to replace x with the given values.
First, we have -14, let's apply that:
(5·(-14²))-(6·(-14))-14=
Now, let's solve (using the order of operations):
(5·(-14²))-(6·(-14))-14=
(5·196)-(6·(-14))-14=
980-(6·(-14))-14=
980-(-84)-14=
980+84-14=
1064-14=
1050=
1050≠-6
Option 1 is incorrect.
Next, let's substitute 14 for x:
(5·14²)-(6·14)-14=
Now, let's solve:
(5·14²)-(6·14)-14=
(5·196)-(6·14)-14=
980-(6·14)-14=
980-84-14=
896-14=
880=
880≠-6
Option 2 is incorrect.
Now, let's substitute -7 for x:
(5·(-7²))-(6·(-7))-14=
Now, let's solve:
(5·(-7²))-(6·(-7))-14=
(5·49)-(6·(-7))-14=
245-(6·(-7))-14=
245-(-42)-14=
245+42-14=
287-14=
273=
273≠-6
Option 3 is incorrect.
Now, let's substitute 7 for x:
(5·7²)-(6·7)-14=
Now, let's solve:
(5·49)-(6·7)-14=
245-(6·7)-14=
245-42-14=
203-14=
189=
189≠-6
Option 4 is incorrect.
Now, let's substitute -2 for x, and solve:
(5·(-2²))-(6·(-2))-14=
(5·4)-(6·(-2))-14=
20-(6·(-2))-14=
20-(-12)-14=
20+12-14=
32-14=
18=
18≠-6
Option 5 is incorrect.
Now, let's substitute 2 for x and solve:
(5·2²)-(6·2)-14=
(5·4)-(6·2)-14=
20-(6·2)-14=
20-12-14=
8-14=
-6=
-6=-6
Option 6 is correct.
Now, let's substitute -1 for x and solve:
(5·(-1²))-(6·(-1))-14=
(5·1)-(6·(-1))-14=
5-(6·(-1))-14=
5-(-6)-14=
5+6-14=
11-14=
-3=
-3≠-6
Option 7 is incorrect.
Now, let's substitute 1 for x and solve:
(5·1²)-(6·1)-14=
5-(6·1)-14=
5-6-14=
-1-14=
-15=
-15≠-6
Option 8 is incorrect.
Now, let's substitute -4/5 for x and solve:
(5·(-4/5²))-(6·(-4/5))-14=
(5·0.64)-(6·(-4/5))-14=
3.2-(6·(-4/5))-14=
3.2-(-4.8)-14=
3.2+4.8-14=
8-14=
-6=
-6=-6
Option 9 is correct.
Now let's substitute 4/5 for x and solve:
(5·4/5²)-(6·4/5)-14=
(5·0.64)-(6·4/5)-14=
3.2-(6·4/5)-14=
3.2-4.8-14=
-1.6-14
-15.6
-15.6≠-6
Option 10 is incorrect.
To summarize, you should pick option 6, and option 9.
I hope this was helpful, keep learning! :D
If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP
Answers
Answer: 34
Step-by-step explanation:
[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]
help me again Scooby do
I got more Scooby snac just for you, Imao
Answers
The correct answer is letter B. V = 141.3cm³
Here's the Solution:
V = π r²hV = (3.14) (3cm)² (5cm)V = (3.14) (9cm²) (5cm)V = (3.24) (45cm³)V = 141.3cm³HOPE THIS HELPS. GOODLUCK:)
which point is a solution to the following system:
y=-3x-13
x+2y=4
Answers
Determine the gradient of line AC
Answers
Answer:
This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.
a square playground measures 2500 ft^2 what is the distance around the edge of the playground?
Answers
Answer:
20000
Step-by-step explanation:
(18 - 3)2 = ?
show your work
help me pls ty
Answers
Answer: 30
Step-by-step explanation:
18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.
Help please ASAP!!!!!
Answers
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?
Answers
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
