The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
What is the formula of sum of sin (a+b)?The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.
The formula of sum of sin (a+b),
Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)
Here, (A and B) are the measure of angles.
The trigonometry equation given in the problem is,
(sin 60)(cos 30)+(cos 60)(sin 30)
Compare this expression with the above formula we get,
A=60
B=30
Thus, the value of the given expression is,
(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)
Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
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A party favor is made up of four equal solids and is constructed from paper. each of the four solids is open at the end. the net represents one of the solids. a net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. b is the base, and c, d, and a are the triangular sides. how much paper is needed to make a party favor? to calculate the surface area, you would exclude the area of face . one of the four pyramids has a surface area of in.2. one party favor, which consists of four of the equal solids, has a surface area of in.2.
The surface area of the solid is 4 + 6b
How to determine the area of the solid?The solid consist of the following shapes:
1 square of length 2 inches4 triangles of height 3 inches and base bThe area of the solid is:
Area = Area of square + 4 * area of triangle
This gives
Area = 2 * 2 + 4 * 0.5 * 3 * b
Evaluate
Area = 4 + 6b
Hence, the surface area of the solid is 4 + 6b
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Help this is due today-
[tex] \bold{ \underline{Solution }}[/tex]
[tex] \bold{ \underline{ \underline{Given}}}[/tex]
y = 9 feet
[tex] \bold{to \: find}[/tex]
Volume of cube
[tex] \bold {\underline{lets \: begin}}[/tex]
[tex]y \: = 9 \: feet \: [/tex]
Volume of cube= (S)³
[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]
so,, 729 is our final answer
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if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.Hey there!
Your formula: a * a * a or you could simply say a^3
Your equation;
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer should be:
729
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
$18019.37
Step-by-step explanation:
[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]
≈ $18019.37
25. Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not
drawn to scale.
12 cm
6 cm
45
2 cm
084 cm²
96 cm²
72 cm²
108 cm²
The area of a the trapezoid given in the diagram is calculated as: B. 96 cm².
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h
Given the following:
a = 12 cmb = 12 + 2 + (6/tan 45) = 20 cmh = 6 cmArea of the trapezoid = 1/2(12 + 20)6
Area of the trapezoid = 96 cm²
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The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.
Answer:
see the attachment.
Answer:
C, -1.5
Step-by-step explanation:
edge
please help me I need assistance
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]
0.78 / 10^6
please someone answer I need this answer soon
Answer:
0.00000078 is the answer to the question
A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.
The capacity of the tank is 240 cm³.
What is capacity?Capacity means the volume of a solid shape.
To calculate the capacity of the tank, we use the formula below.
Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9
Formula:
V = (8×27)/0.9............... Equation 1Where:
V = Volume or capacity of the tankSolve for V
V = 240 cm³.Hence, the capacity of the tank is 240 cm³.
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Here are some of the numbers that were picked out of the bag at bingo evening:
20 32 95 16 18 31 24 17
36. Which of these numbers is a square number?
37-38. Which of these numbers are prime numbers?
Kevin correctly answered 75% of 32 test questions. How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
2
Step-by-step explanation:
0.75*32=24 is 75% of 32
0.8*32=25.6 is 80% of 32
you need to round to 26 as you cant get .6 of a mark
26-24=2
Solve 11x 2y 2 + a = b for a
Answer:
a=b-44y
Step-by-step explanation:
a=b-44y
What is the mean absolute deviation of 1, 2, 2, 3, 5, 6, 6, 8, 8, 9
Answer:
5
Step-by-step explanation:
1+2+2+3+5+6+6+8+8+9/10=5
Please help! Giving brainliest!!!!
You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate
to the nearest tenth of a percent?
A. 0.8%
O B.2.3%
C.35.0%
D. 1.0%
Answer:
interest rate= interest earned multiply 100% then divide by the amount and time
R=I/Pt
I=96.60$, P=1200$, t=42/12=3.5
R= 96.60×100%/1200×3.5
=2.3%
Please I'm serious no time for nonsense
Draw (3) Convex Polygons & (3) Non- polygons .
Answer & step-by-step explanation:
Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)
Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:
On the map at the right, the public swimming pool can be represented by the point (-6, 5) and Tim’s house can be represented by the point (1, 5). If each unit on the graph represents 0.5 miles, how many miles is Tim’s house from the pool
The distance between the swimming pool and Tim's house is 3.5 miles.
How to find the distance?
First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.
The distance between the points (-6, 5) and (1, 5) is:
[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]
Now, changing to miles, we get:
d = 7*0.5mi = 3.5mi
So the distance is 3.5 miles
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Which 3 lengths would in fact make a right triangle?
4, 3 , 7
How Can It Be Said That 3 Lengths Would Make A Right Triangle?
To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.
What is a Right Triangle?A right triangle is a triangle with one 90-degree angle.
can someone help me figure out how to solve this without a protractor or anything if possible? I have issues with focusing and i cant figure out the easiest way without a protractor; if it's even possible.
Answer:
C. Equilateral
Step-by-step explanation:
Every pair has equal angle
Answer:
A
Step-by-step explanation:
BECAUSE IT IS KIND OF ANGEL
Does anybody know this? Need it done soon. Find the surface area. Use 3.14 for pi. Do not round your answer
Answer:
113.04 yd²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is:
2πrh+2πr² r = radius, h=height
The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.
2πrh+2πr²
2(3.14)(2)(7) + 2(3.14)(2)^2
= 113.04 yd²
1) Describe the steps in creating a box plot. What do you have to find to complete a box plot graph? (at least 5 steps)
Answer:
I'm Pretty sure
Step-by-step explanation:
Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...
Step 2: Calculate quartile differences. ...
Step 3: Create a stacked column chart. ...
Step 4: Convert the stacked column chart to the box plot style.
Given that the statements
△
A
B
C
∼
△
D
E
F
and
△
D
E
F
∼
△
J
K
L
are true, which statement is a valid conclusion?
Answer:
it is triangle DEF, base on my own understanding
Please help me mi amor !!! I really need help
Step-by-step explanation:
it is really simple.
first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).
and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.
so,
angle 3 = 37°
that means
angle 1 = 37° too
angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).
angle 2 = 180 - 37 = 143°
and angle 4 = 143° too
PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12
Answer: Heyaa! ~
10. 8√2
11. 2h²√3
12. 2h³√5k⁴
Step-by-step explanation:
- Lets solve it together!
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Hopefully this helps you!
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 2.4
B) 4.6
C) 5.4
D) 3.7
Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!
Answer:
5x+2y=3 3x-2y=5
7xy=3 xy=5
7xy+xy=3+5
6xy=8
Step-by-step explanation:
it's are the answers
please help me with this!
Answer:
1/2 - 1/8= 4/8 - 1/8= 3/8
Step-by-step explanation:
hope this helps
Tom is making a rolling pin like the one shown out of maple hardwood.
The handles are 4-inch long cylinders with a diameter of 1 inch. The main body of the rolling pin has a diameter of 3 inches and is 14 inches
long. What is the total amount of wood needed to build the rolling pin? Round to the nearest tenth.
in³
Answer:
Step-by-step explanation:
can you give me the answer please? I have the same question
Can someone please help me with my math
Answer:
She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.
Step-by-step explanation:
26/2 = 13. There's enough flour to make the recipe 13 times over, however,
she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.
26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.
She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.
to make 4 batches of PB:
[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.
so now she'd have 6 cups butter and 18 cups flour leftover.
This means, to make 6 batches CC:
3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.
Which side lengths form a right triangle?
(A) 1, 2, 3
(B) 5, 6, 7
(C) 3, 4, 5
(D) 4, 5, 6
What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º
The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Let's suppose the angle m∠Q is A
So applying law of cosine:
[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]
CosA = 0.859
A = 30.75 ≈ 30.8 degree
Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
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8x+5y=16 8x+10y=56 what strategy could you apply to use the linear combination method to solve the system?
Answer:
elimination
Step-by-step explanation: