Answer:I believe it's -5√41/41
Step-by-step explanation:
The value of [tex]cos\theta[/tex] will be [tex]-0.7813[/tex].
If the point [tex](-5.-4)[/tex] were rotated around the origin, it would form a circle of radius [tex]r[/tex]. Also, if the point were projected to the x-axis, a right-angled triangle would be formed. Then, the value of [tex]cos\theta[/tex], could be obtained by the formula
[tex]cos\theta=\dfrac{x}{r}[/tex]
where
[tex]x=\text{the side of the triangle opposite the reference angle of }\theta\\r=\text{the radius of the circle}[/tex]
From the point on the terminal side
[tex](x,y)=(-5,-4)[/tex]
we can directly get the value of [tex]x[/tex]. But we need to calculate the value of [tex]r[/tex].
To calculate the value of [tex]r[/tex], make use of Pythagoras theorem
[tex]r=\sqrt{x^2+y^2}\\=\sqrt{(-5)^2+(-4)^2}\\=\sqrt{25+16}\\\approx6.4[/tex]
We can now proceed to find the value of [tex]cos\theta[/tex], since we have the values of [tex]x[/tex], and [tex]r[/tex]. Therefore,
[tex]cos\theta=\dfrac{x}{r}\\\\=\dfrac{-5}{6.4}\approx-0.7813[/tex]
Learn more about trigonometry here: https://brainly.com/question/23686339
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
– 27 ÷ (– 3) – 9
– 27 ÷ 3 – 9
27 ÷ 3 + 9
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
Kohl’s is having a sale this weekend I picked out a new pair of boots for $75 a new coat for $130 and new gloves for $20 and then a show me a coupon for 30% off how much do I pay the cashier
A school buys 1122 pencils in total. The school has 11 classes. How many pencils will each class receive?
Answer:
102 pencils
Step-by-step explanation:
1122÷11=102
Answer:
102 pencils
Step-by-step explanation:
Help don’t bully meeeeeeeeee
Answer:
table 1: -7, -3, 1, 4, 9
Step-by-step explanation:
You put the numbers under x on the tables into the formula where the x is and solve for y.
if you need more answers let me know
My Brain need help pls
3)
If f() = x and g(x) = 3x + 1, then g(f(2)= ?
1)
A)
4
B)
7
13
D)
28
Answer:
100% A = 4
Explanation
The original price of a jacket is $68 the sale price is 30% off the original price what is the amount off of the original price
Answer:
68 x 30 / 100= 20 . 4 $
price after sale = 68 - 20.4 =47. 6 $
Why are the solutions to the proportion‘s 50 over X equals 10/20 and 10/50 equals 20 over X the same?
Answer
both get the same equation 10x=1000 which simplifies to x=100. HOPE THIS HELPED!!!
Step-by-step explanation:
Do I really need to?
What is the missing number in the pattern above?
7,680, 1, 920, ___, 120, 30
a. 210
b. 480
c. 900
d. 1,440
25 points BRAINLIEST The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers. Write the two equations and find both numbers
Answer:
11 and 7.
Step-by-step explanation:
7 + 11 = 18
7 times 2 is 14 and 14 + 11 = 25
You have $2000 from graduation that you want to invest in your simple interest checking account for five years while you go to college. If the account has a 1.3% interest rate, how much will you have in the account after the five years?
Answer: $2130
Step-by-step explanation:
First, we need to calculate the simple interest which will be:
= (Principal × Rate × Time)/100
= (2000 × 1.3 × 5)/100
= $130
The total amount in the account after five years will be:
= $2000 + $130
= $2130
need help once again!
Answer:
θ = cos-1 (38/47)
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]
θ = sin-1 (27/47)
cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]
θ = cos-1 (38/47)
tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]
θ = tan-1 (27/38)
The original price of a pair of shoes at DSW is $29.99. On Black Friday there is a mark down of 10%. What is the sale amount of the pair of shoes?
Answer:
The sale amount of the pair of shoes will be: $27
Step-by-step explanation:
The original price = $29.99
Mark down = 10%
Mark down amount = 10% × 29.99
= 0.1 × 29.99
= $2.99
Thus, the sale price = Original price - Mark down amount
= $29.99 - $2.99
= $27
Therefore, the sale amount of the pair of shoes will be: $27
HELP ME! IT GEOMETRY
POSSIBLE ANSWERS ARE:
M<2=79°
M<2=90°
M<2=93°
M<2=127°
Divide. 6 by 3/5 PLEASE LOL
Answer:
6 divided by 3/5 is 10
Step-by-step explanation:
Answer:
6 Divided by 3/5 is 10
Step-by-step explanation:
You can make 6 into a fraction by putting a one under it
6/1 =6
And cross multiply numerators to your denominators
6/1 times 3/5 = 30/3 ( 6 times 5= 30 and 3 times 1= 3)
Simplify
30/3= 10
The radius of a circle is 3 inches. What is the circle's circumference? Use 3. 14 .
Answer:
18.84
Step-by-step explanation:
You multiply 3 by 2 and then 6 by 3.14
I NEED HELP ASAP PLEASEEEE
Step-by-step explanation:
2126
Brad bought a shirt at a 20% discount and with sales tax of 5%. How can the expression 1.05(x - 0.2x) be rewritten to show what percentage of the original price he paid?a) 0.84x
b) 0.85x
c) 0.21x
d) 0.8x
what is the measure of angle 0? round to the nearest whole number
Answer:
22°
Step-by-step explanation:
sinФ = opposite side/hypotenuse = 3/8
Ф = [tex]sin^{-1} ( \frac{3}{8})[/tex] use calculator
=22.02431
Solve for x. 5x + 20 = 70
Answer:
Simplifying
5x + -20 = 70
Reorder the terms:
-20 + 5x = 70
Solving
-20 + 5x = 70
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 5x = 70 + 20
Combine like terms: -20 + 20 = 0
0 + 5x = 70 + 20
5x = 70 + 20
Combine like terms: 70 + 20 = 90
5x = 90
Divide each side by '5'.
x = 18
Simplifying
x = 18
A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (Input only the numeric values and decimal points, such as 6.4.
is the puppy weighs 56 ounces then it weighs 3.5 pounds
Frosty lost the magic numbers from his hat. Help him find the numbers so his hat can be magical again in time for the party
The question is an illustration of an equilateral triangle.
From the complete question, the complete side of the triangle contains the following numbers:
1, 6 and 2.
The sum of these numbers represent the side length
[tex]Length = 1 + 6 + 2[/tex]
[tex]Length = 9[/tex]
On the base of the triangle, the numbers are 1 and 3.
So, the number that completes these set of numbers is 5.
This is so because, 5 added to the sum of 1 and 3 is 9
Lastly, the numbers on the last side of the triangle are 2 and 3.
So, the number that completes these set is 4.
This is so because, 4 added to the sum of 2 and 3 is 9
See attachment for the complete diagram
Read more about equilateral triangle at:
https://brainly.com/question/15294703
If a leopard can run 500 years in 1/2min how many yards could they run in 1 hour
Answer:
?
Step-by-step explanation: how do expect us to know this
ABC Bookstore sells new books, n, for $12, and used books, u, for $8. The
store earned $112 revenue last month. The store sold 4 more used books
than new books. Which system of equations represents this scenario?
O A. 8n+ 12u= 112; u= n +4
O B. 8n + 12u=112; U= n- 4
OC. 12n+8u=112; u=n+4
O D. 12n + 8u= 112; u = n-4
Answer:
D.) $12n + $8u = 112 ;u = 4 + n
Step-by-step explanation:
Given that :
Cost per new books (n) = $12
Cost per used book (u) = $8
Total revenue earned = $112
store sold 4 more used books than new books
Hence,
Total revenue should be :
Revenue from new books + Revenue from used book = total revenue
Revenue from new books = $12 * n = $12n
Revenue from used books = $8 * n = $8n
$12n + $8u = 112
Number of books sold :
Number of used books sold = 4 + number of new books sold
u = 4 + n
A 6-pack of plastic rings costs $2.28. What is the unit price? (step by step solution)
Answer:
$0.38
Step-by-step explanation:
To find the unit price, divide the price by the amount.
$2.28 / 6 =
$0.38
Hope this helps <3
Which number is an irrational number?
181
100
V 30
50
Answer:
181
Step-by-step explanation:
im just guessing so it's probably not right
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112. The population standard deviation is known to be $16. Use a .05 level of significance and determine whether or not the average room price is significantly different from $108.50.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is [tex]\= x = \$ 112[/tex]
The population standard deviation is [tex]\sigma = \$ 16[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population mean is [tex]\mu = \$ 108.5[/tex]
The null hypothesis is [tex]H_o : \mu = 108.50[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 108.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }[/tex]
=> [tex]z = 1.75[/tex]
From the z table the area under the normal curve to the left corresponding to 1.75 is
[tex]P( Z > 1.75) = 0.040059[/tex]
Generally p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 1.75)[/tex]
=> [tex]p-value = 2 * 0.040059[/tex]
=> [tex]p-value = 0.08012[/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
what is the value of the expression 2^2 + 2^-4
Factor the expression.
A. ++
Answer:
Factors are = (x+4) and (x+3)
Step-by-step explanation:
The given expression is :
[tex]x^2+7x+12[/tex]
We need to find the factors of the above expression. We can solve it using the middle term splitting method.
[tex]x^2+7x+12=x^2+4x+3x+12\\\\=x(x+4)+3(x+4)\\\\=(x+4)(x+3)[/tex]
So, the factors of the given expression is (x+4) and (x+3).
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