Answer:
[tex] \frac{63}{65} [/tex]
Step-by-step explanation:
We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity
[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]
By using the identity above gives
[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]
[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]
[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]
Now to find the value of cosA , we'll use the same identity.
[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]
[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]
[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]
Now we know that
[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]
So value of sin(a+b) =
[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]
[tex] = \frac{3}{13} + \frac{48}{65} [/tex]
[tex] = \frac{63}{65} [/tex]
The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?
Answer: 67.8%
Step-by-step explanation:
The variables that are at most 11 will lie on the left of 11.
The percentage of the possible observations to the left will be:
= 1 - percentage to the right
= 1 - 0.322
= 0.678
= 67.8%
I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?
Answer:
y = -3x + 120
Step-by-step explanation:
Hope this helps!
When x=5, which is x3?
Answer:
125
Step-by-step explanation:
5 cubed is literally 5 x 5 x 5
So 5 x 5 = 25
multiply 25 with 5 and you get 125 as the answer.
The Answer Is 8
Your Welcome!♠
Question 3
And question 4 pleaseeee help!!
Answer:
see pdf
Step-by-step explanation:
Please help me with this math question.
PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."
What’s my number? Show your work and explain how you know your answer is correct.
Answer:
The number is 24
Step-by-step explanation:
This can be written algebraically as: [tex]\frac{x}{4}+7=13[/tex]
Solve for x, in which the steps are shown below.
Thanks for the question! :)
What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?
Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4
Answer:
when tow line are parallel (a) is same
What is the area of the triangle below?
Answer:
9
Step-by-step explanation:
base = 6
height = 3
1/2 b * h = 9
It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?
Answer:
Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.
Step-by-step explanation:
If nine inches represent twelve feet, how many inches
represent 48 feet?
Answer:
36 inches
Step-by-step explanation:
4 * 12 = 48
So multiply 9 by 4 also and you get 36.
How many fifths in 3/4?
Answer:
19
Step-by-step explanation:
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
Read more about function transformation at:
https://brainly.com/question/4025726
#SPJ2
Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answer:
a
Step-by-step explanation:
5(a +3)= 40 *
What is the answer
Answer:
sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Answer: a = 5
Step-by-step explanation:
5(a + 3) = 40
5a + 15 = 40
5a -15 = -15
5a = 25
5a/5a = 25/5a
a = 5
Hope this helps :)
Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?
Answer:
400.
Step-by-step explanation:
50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.
Answer:
400
Step-by-step explanation:
just did the work
Factor using grouping: x³+ 3x² + 5x = 15
Can someone help me please?
Answer if u know PLS
Answer: Fourth Option: |-23.6|
Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.
I hope this helps, and Happy Holidays! :)
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
$116
Step-by-step explanation:
the total discount is 20-15 = 5%
the dicount = (5*120)/100 = $4
So she bought it with price = 120 - 4 = $116
Answer: 8%
Step-by-step explanation:
1. Apply the discount to the original price
20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars
120-24 = 96 (the new price of the shoes, with the coupon applied)
2. Apply the service fee to the discounted price
15% of 96 (0.15*96) = 14.4
This number is the amount of money being added to the discounted price, as it is an additional fee
96 + 14.4 = 110.4
3. Find the percent discount Genna's shoes are using the new price.
1 - (New price/Old price) = Percent discount
110.4/120 = 0.92
1 - 0.92 = 0.08
The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.
A baker orders 162 eggs. Each carton contains 18 eggs. Determine which equation can you use to find the number c of cartons.
three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?
Answer:
The thief stole 36 apples originally.
Step-by-step explanation:
The thief left the orchard with 1 apple.
which means:
∴ before meeting the 3rd watchman, he must have had =6 apples.
∴ before meeting the 2nd watchman, he must have had =16 apples.
∴ before meeting the 1st watchman, he must have had =36 apples.
(1+2)×2
(6+2)×2
(16+2)×2
So, the thief stole 36 apples originally.
Answer:
The thief took 36 apples.
Step-by-step explanation:
This problem can be solved from end to beginning.
The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.
Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.
Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.
Doing this again, 16+2=18. 18*2=36.
The thief took 36 apples.
Gave 18+2=20 to the first guard. He had 36-20=16 now.
Gave 8+2=10 to the second guard. He had 16-10=6 now.
Gave 3+2=5 to the third guard and got away with just one apple
How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.
Answer:
It will be 64 cubes.
Step-by-step explanation:
if one side is 8 inches then 8/2 is 4
to fill one face, 4 × 4 = 16
to fill a cube 16 × 4 = 64
Answer: 64 cubes will fit
In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000
$143,699,010
use the calculator
3.78÷15=? Show the work please.
Answer:
how would you show work?
the answer is 0.252
Step-by-step explanation:
Answer:
0.252
__________________________________________________________
We have to evaluate the expression:
3.78/15
Evaluation:
We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out
So, multiplying numerator and the denominator by 100
[tex]\frac{3.78 * 100}{15 * 100}[/tex]
[tex]\frac{378}{15 * 100}[/tex]
Since 15*25 is 375, we will rewrite the numerator as:
[tex]\frac{375 + 3}{15 * 100}[/tex]
Now, we can split it into 2 separate fractions:
[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]
This new equation is the same as the one before as it can easily be changed to that
Since 15*25 is 375 and 3*5 is 15:
[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]
Since 25*4 is 100:
[tex]\frac{1}{4}+\frac{1}{500}[/tex]
0.25 + 0.002
0.252
Hence, 3.78/15 is 0.252
I need help with this
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answer:talk some English dude
Step-by-step explanation:
Stephanie thinks of a positive number.
She squares the number and adds 7
The result is 43
What number did Stephanie think of?
Answer:
Step-by-step explanation:
If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43
So the number is 6
Answer:
6
Step-by-step explanation:
Do the question backwards
43 - 7 = 36
[tex]\sqrt{36}[/tex] = 6
Stephanies number was 6
Given that
R
=
2
x
+
2
y
Find
y
when
x
=
9
and
R
=
29
Give your answer as an improper fraction in its simplest form.
Answer: y=11/2
Step-by-step explanation:
r = 2x + 2y
29=2(9) + 2y
29=18 + 2y
11 = 2y
11/2 = y
Simplify.
6² + 3²
09
O 18
O 45
081
Answer:
45
Step-by-step explanation:
6² + 3²
36 + 9
45
Follow me please
What is the slope-intercept equation of the line below?
Answer:
B y= -5/4x+3
Step-by-step explanation: