Answer:
[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]
And that the two angles A and B are both in QI (positive acute angles).
Given this, we want to determine the value of sin(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:
[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]
Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:
[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]
In conclusion:
With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.
With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.
We can rewrite our original expression as:
[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]
And since A and B are both in QI, all trigonometric ratios will be positive.
Using the above conclusions, substitute:
[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]
Simplify. Hence:
[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]
HELP!?? Please hurry due today!!!!
Answer:
348m^2
Step-by-step explanation:
The paperweight shown below is in the shape of a square pyramid.
What is the volume of this paperweight?
Answer:45
Step-by-step explanation:
V=a2h
3=62·3.75
3=45
helppppp it timeddddd quickkkkkkk i give brainlyist toooo
Answer:
Hello, I believe the answer would be PK since both XS and PK are the same height.
Step-by-step explanation:
I hope this helped you!
Answer:
option A
PK corresponds to XS
GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLEASEEEEE
Answer:
5.66
Step-by-step explanation:
This is a 45 – 45 – 90 triangle. What this means is that the two legs are both congruent and the hypotenuse is the length of the legs times [tex]\sqrt{2}[/tex].
So in order to find this, we have to divide 8 by the square root of 2.
Putting this in to a calculator, we get 5.6568542. When rounded to the nearest hundredth, it is 5.66, which is the first answer.
is -6 or -3 bigger please help fnfrififnrrfee
Answer:
-3
Step-by-step explanation:
-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps
SOMEONE PLEASE HELP ME ASAP!!! GIVING 18 POINTS
Answer:
247.5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, we solve 9x9-10/2=35.5
35.5-5=30.5
9x30.5=274.5
Please give brainliest.
Have a great day/night!
10,045 rounded to the tens place
Answer:
10045 rounded to nearest tens is10050
Find the circumference of a circle with area of 676 pie square meters
Please show work
Step-by-step explanation:
A= πr^2
r = √(A/π)
r = √(676π/π)
r = 26
C = 2πr
52π
= 163.36
Answer:
52 pie square metres
Step-by-step explanation:
area of a circle=pie r^2
pie r^2=676pie
r^2=676
r=26m d=52
circumference=pie d
52 pie square metres
Help..........................
Answer:
-21 yd
Step-by-step explanation:
[tex]-31-2+12=-21[/tex]
The area of the rectangle below is
sq. units.
3
22
A. 25
B. 66
O c. 50
D. 33
Answer:
66
Step-by-step explanation:
The area of a rectangle can be found with the formula 'length time width' (lw). The length is 22, and the width is 3. Multiply 3 and 22 and you get 66 as your area.
66 square units is the area of the given rectangle.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To find the area of a rectangle, we multiply its length by its width.
In this case, the length is 22 and the width is 3.
Therefore, the area of the rectangle is:
Area = length × width = 22 × 3 = 66 square units.
So, the area of the rectangle is 66 square units.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
Samantha walks a total of 3/4 miles to get to and from school each day write an addition expression that can be used to find the total numbers of miles that has Samantha walk to and from school over 2 days Then evaluate the expression
HELP WILL GIVE MOST BRAINILIST!
Answer:
Step-by-step explanation:
If you add up all the male and female categories, the total is 400
the number of females between 22 and 39 is 51
P(22 - 39) = 51 / 400
P(22 - 39) = 0.1275
I think the answer you want is 51/400
I know...another one
I'm so confused what do you need help with?
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
Find the missing lengths
Answer:
x = 13 cm
Step-by-step explanation:
The figure given is a square.
Area of the given square (A) = 169 cm²
Formula for area of a square is:
A = s²
Where,
s = x
Thus:
169 = x²
Take the square root of both sides
√169 = √x²
13 = x
x = 13 cm
which expression is equivalent to (2x ^2 +6)(x-2)
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2
and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:
2x^3 - 4x^2 + x - 2
Grant attended 75% of his Student Council meetings. If there were 40 meetings, how many did Grant NOT attend?
please do not put any link just answer it
Answer:
10
Step-by-step explanation:
take your total and multiply it by the percentage.
40 × .75 = 30. he attended 30 meetings. take your total and subtract your new value.
40 - 30 = 10 meetings not attended
(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm
Answer:
We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:
Step-by-step explanation:
The algebraic expression for the sum of 5 and g?
Answer:
5 + g
Step-by-step explanation:
The sum of 5 and g,
5 + g
Carlos has 1/2 of a sub sandwich. He wants to share it between himself and 2 friends How much
of the sandwich will they each get?
Answer:
They will each get 1/6 of the sub, but 1/3 of the half sub.
Step-by-step explanation:
As we know, there are 3 people, so divide 1/2 by 3.This gives them each 1/3 of the 1/2 sub.Or, this gives them 1/6 of the whole sub before it was split into 1/2.What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz
Answer:
when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice
Step-by-step explanation:
Round 6,584,003 to the nearest 10,000
The answer is 6,580,000.
I hope this helped! :)
What is 6 over 10 plus 13 over 100
Answer:
73/100
73 over 100
What is the best approximation for the area of a semicircle with a diameter of 11.8 feet? Use 3.14
Answer:
109.3
Step-by-step explanation:
The area of a circle is 3.14 multiplied by the radius squared and the radius is the diameter divided by two which is 5.9. so the equation would be 3.14 times 5.9 squared
please help !!!!!.......
Answer:
6
Step-by-step explanation:
GOD PLEASE HELP ME. i really do need help.
Answer:
step below
Step-by-step explanation:
volume of cylinder = Bh = πr²h = π*7²*15 = 735π
volume of cone =1/3 Bh =1/3 πr²h =1/3 π*7²*15 = 1/3 * 735π
Answer:
the first choice- volume of the cylinder is 735pi
and the 3rd choice the volume of the come is 1/3 pf 735pi (245 is 1/3 of 735)
Step-by-step explanation:
Volume of the cylinder
[tex]V=\pi r^{2} h\\V=\pi 7^{2} 15\\V=49(15)\pi \\V=735\pi[/tex]
Volume of the cone
[tex]V=\pi r^{2} (\frac{h}{3} )\\V=\pi 7^{2} (\frac{15}{3})\\V=49 (5)\pi \\V=245\pi[/tex]
Please help me ASAP AND explain the steps plz. Zymirah earns 5% commission on all sales at a jewelry store plus $10 an hour. Yesterday she
sold $3,200 in merchandise and earned a total of $240. How many hours does she work?
a. 8 hours
b. 12 hours
C. 32 hours
d. 160 hours
Answer:
a) 8 hours
Step-by-step explanation:
h = # hours worked
240 = .05(3200) + 10h
240 = 160 + 10h
80 = 10h
8 = h
Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?
Answer:
door Sai so Lally shall icb kiddo do you have any questions
Step-by-step explanation:
ok CV bjf
Due in 10 min plz help
Answer:
9 cm
Step-by-step explanation:
Answer:
9cm
Step-by-step explanation:
Think about school is not about learning it’s about maintaining good grades
Change my mind
Answer:
now that I think about it you do have a good point!, but it could be both no?
Step-by-step explanation:
have a good day! :)