Answers
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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Related Questions
In which of the expressions below will x = 25? Sele
***
Ill that
apply.
X + 6
A)
= 10
3
B) x – 8 = 32
C) 6x – (15 + 4x) = 35
3.3
D
= 15
5
E) 4(x – 18) = 12
ОА
ОВ
OC
D D
СЕ
Answers
Answer:
C
Step-by-step explanation:
6X - (15 + 4X) = 35
6(25) - (15 + 4(25)) = 35
150 - (15 + 100) = 35
150 - (115) = 35
35 = 35 (True)
the quotient of a and b
Answers
Step-by-step explanation: and that should give you your answer and if not please feel free to mesage me.
what is x? 6(x+4)+3x-2
Answers
Interest is compounded semianually. Find the amount in the account after the given time.
Answers
Answer:
$1,159.69
Step-by-step explanation:
Compound Interest Formula :
A = P (1 + r/n)^(nt)A = amount P = principalr = rate (in decimals)n = number of times compoundedt = number of yearsSolving :
A = (1,000)(1 + 0.05/2)²⁽³⁾A = (1,000)(1.025)⁶A = (1,000)(1.15969342)A = $1,159.69For items 6-8
Write IMPOSSIBLE, UNLIKELY, AS LIKELY AS UNLIKELY, LIKELY and CERTAIN to describe each of the following statements.
6. ___________ The sun will rise tomorrow. (CAPSLOCK ALL LETTERS)
Answer: ________________
7. __________ Bats are birds. (CAPSLOCK ALL LETTERS)
Answer: __________________
8._________ The weather forecast says there is 50% chance of rain today, (CAPSLOCK ALL LETTERS
Answer: _________________
NONSENSE REPORT
Answers
7. CERTAIN
8. LIKELY
Question 3(Multiple Choice Worth 1 points)
(08.05 LC)
The graphs of f(x) and g(x) are shown below:
Answers
Answer:
The correct equation is D
Factor
please help :)
Answers
Answer: Heyaa! :)
Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).
Step-by-step explanation:
Factor using the perfect square rule.
Step-by-step explanation:
9w²+42w+49
since this is in (a-b)² form
3²w²+2*3w*7+7²
(3w+7)²
Find the volume of each figure. Round you
137cm
5 cm
B) 350 cm³
D) 116.67 cm³
10 cm
A) 88.74 cm³
C) 148.29 cm³
Please help ASAP!!
Answers
Answer:
e
Step-by-step explanation:
e
50/9 as a mixed fraction
Answers
Answer:
5 5/9
Step-by-step explanation:
9 goes into 50 4 times and the subtract that from 50
Answer :
5 [tex]\frac{5}{9}[/tex]
Explanation:
50/9= 5.5555555555556 = 5
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (5) and multiply it by the original denominator (9). The result of that multiplication is then subtracted from the original numerator:
50 - (9 x 5) = 5
Step 3: Our mixed fraction
We've now simplified 50/9 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
5 [tex]\frac{5}{9}[/tex]
Abox of chocolate candy contains 4 butter-cream-filled, 3 raspberry-
filled, 2 peanut butter-filled, 5 caramel-filled, and 6 nut-filled chocolates.
If Monica randomly selects a piece of candy, what is the probability that
she will pick a butter-cream-filled chocolate ?
A 0.10
B. 0.15
C. 0.20
D. 0.25
Answers
Answer:
0.20? sorry if im wrong
Step-by-step explanation: 4+3+2+5
I need the answer because i been trying to figure this out for 20 minutes
Answers
Answer:
sqrt (65) = 8.062 units = x
Step-by-step explanation:
use Pythagorean theorem for a right triangle
a ^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 9^2
x^2 = 9^2 - 4^2
x^2 = 65
x = sqrt 65
Answer:
c
Step-by-step explanation:
Evaluate 8 7/8 + (7 5/6−2 1/3)
Answers
Answer:
14.375 Or 115/8
Step-by-step explanation:
since 8 7/8 = 71/8 and 7 5/6 = 47/6 and 2 1/3 = 7/3
then 71/8 + ( 47/6 - 7/3) = 115/8
The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). what is the maximum value of the objective function p if p = 180x 250y? 2,940 3,020 3,080 3,250
Answers
The maximum value of the objective function p if p = 180x + 250y is 3020
How to determine the maximum value?The coordinates of the feasible region are given as;
(14, 2), (0, 9), (6, 8), and (10, 3)
The objective function is given as:
P = 180x + 250y
Substitute the coordinates of the feasible region in the above function
P = 180 * 14 + 250 * 2 =3020
P = 180 * 0 + 250 * 9 = 2250
P = 180 * 6 + 250 * 8 = 3080
P = 180 * 10 + 250 * 3 = 2550
The maximum value in the above computation is:
P = 180 * 14 + 250 * 2 =3020
Hence, the maximum value of the objective function p if p = 180x + 250y is 3020
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Linear Programming Quiz - Edge
Question 1: D
Question 2: D
Question 3: D
Question 4: B
Question 5: C
Question 6: C
Question 7: D
Question 8: A
Question 9: C
Question 10: C
It says I can't add anymore attachments but the rest are correct trust me
I need help with this, and a step by step explaination would be very helpful! Thank you!
Answers
Answer:
18
Step-by-step explanation:
The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.
__
The expanded form of the sum is ...
(1 +2) +(2 +2) +(3 +2) +(4 +2)
= 3 +4 +5 +6 = 18
The sum is 18.
_____
Additional comment
The sum can be rewritten as ...
[tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]
This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.
jane has 3 apples julio has 4 apples and 2 bananas jesse has 4 bananas and 10 apples how many apples are there in all if they a put all fruit in a basket
Answers
10 times as much as 0.71
Answers
Answer:
7.1
Step-by-step explanation:
if we put this into a number sentence it will be 0.71*10 which is 7.1
can some please help me
Answers
Answer:
2.3 cm
Step-by-step explanation:
[tex]\textsf{Area of a trapezium}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex]
Given:
base a = 3.8 cmbase b = 6.1 cmh = x cmSubstituting the given values into the formula and solving for x:
[tex]\implies \dfrac{1}{2}(3.8 + 6.1)x=11.385[/tex]
[tex]\implies \dfrac{1}{2}(9.9)x=11.385[/tex]
[tex]\implies 9.9x=22.77[/tex]
[tex]\implies x=2.3[/tex]
Area of trapezoid 1/2(sum of parallel sides)(Height)
1/2(6.1+3.8)x=11.3851/2(9.9)x=11.3859.9x=22.77x=22.77/9.9x=2.3Find the area of the green triangle
Answers
Answer:
if im correct the answer is 48 ft2
Step-by-step explanation:
Answer:
[tex]16ft \: ^{2} [/tex]
Step-by-step explanation:
To find the area of the given triangle we'll use the formula:-
[tex]\boxed{\sf A = \cfrac{1}{2} \times b \times h}[/tex]
Where,
Base(B):- 8 ftHight (H):- 4ft[tex]\sf A = \cfrac{1}{2} \times 8 \times 4[/tex]
First, let's multiply 1/2 * 8 = 8/2.
[tex]\sf \cfrac{8}{2} \times 4[/tex]Divide 8 by 2= 4
[tex]\sf 4 \times 4[/tex][tex]\sf 16[/tex]Thus, the area of the triangle is 16ft^2.
Simplify this for me please!
Answers
Answer:
Step-by-step explanation:
6 / 3√5
= 2/√5
= 2√5/5
Answer:
[tex]\frac{2\sqrt{5} }{5}[/tex]
Step-by-step explanation:
First, you can take a factor of (3) out of the numerator and denominator. This simplifies to equal 1, so you are left with 3/√5.
6 / 3√5 -----> (3/3) x 2/1√5 ---> (1) x 2/√5 ---> 2/√5
Because radicals should not be kept in the denominator, multiply both the numerator and denominator by the radical of 5. This removes the radical from the denominator while altering both the numerator and denominator equally. Remember, the square root of a number is technically the number raised to the 1/2 power. The 1/2 power times the 1/2 power equals the power of one, essentially "eliminating" the radical.
2/√5 ---> 2/√5 x √5/√5 ---> 2√5 / 5
As there is not way to simplify further, your final answer should be [tex]\frac{2\sqrt{5} }{5}[/tex].
The wind speeds throughout the month of April were normally distributed with a mean of 17 mph. What percent of the days had wind speeds between 5
Answers
Answer:38
Step-by-step explanation:
11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answers
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
Which algebraic expression represents the situation "add seven to the product of a number and ten"?
Answers
7 (10 - X)
Lynn gave her nail technician a $5.40 tip. The tip was 18% of the cost of the manicure. write an equation to find b, the cost of the manicure
Answers
b=5.10/.15
b=34
A bag of dry costs $2.85. Alka pays for the bag with a $5.00 bill. How much change does Alka get back?
Answers
Answer:
$2.15
Step-by-step explanation:
$5 - $2.85 = $2.15
this is the explanation
The cost of dry bag is $2.85 then the change does Alka get back will be $2.15.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the mentioned information in the question,
Cost of dry bag = $2.85
Money given by Alka for the bill = $5.00
Then, the amount she will get back,
($5.00 - $2.85) = $2.15
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Can someone please help me answer this question
Answers
Answer:
B. adjacentStep-by-step explanation:
hope this helps you
Find the value of B+4 when B=17
Answers
Answer:
Step-by-step explanation:
17 + 4 = 21
Answer:
B + 4 = 17+4
21 is the answer
If the product of 5x+1 and 2x-3 was place in ax2+bx+c form what would the value of a+b+c equal
Answers
Answer:
Answer: 10x^2 -13x-3
Foil method
Step-by-step explanation:
I beleive its right.
Graph the function g(x)=−[tex]\frac{1}{3}[/tex](x+2)(x+8)
Answers
Answer:
Step-by-step explanation:
Comment
If you do not have a graphing calculator the best thing to use is Desmos. Desmos is free -- anyone can use it and and the graphs can be used here on Brainly. I've downloaded the graph for you.
There are a couple of things you should notice.
The most downward point is (-5,-3)
The largest root is x = -2
The smallest root is x = - 8
Notice the roots are the opposite of what you are given. You will eventually learn how to do all of these things.
Find the Volume of a sphere with a diameter of 16 using the formula V=4/3 3.14 r^3
Answers
Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.
❍ Explanation -:In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.
First we will find the radius of the sphere
We know,
[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]
Substituting the values we get
[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]
[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]
Now we will calculate the volume of the sphere
We know,
[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]
[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]
[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]
Hence the volume of the sphere is 66.98 cm³.
[tex] \underline{\rule{71mm}{4pt}}[/tex]
What is f(−3) for the function f(a)=−2a2−5a 4? −29 −23 1 37
Answers
The value of f(-3) for the function f(a) = -2a² - 5a + 4 is 1.
What are functions?Function relates input and outputs. The outputs are called the ranges of dependent variables while the input are called domain or independent variables.
Therefore,
f(a) = -2a² - 5a + 4
Hence,
f(-3) = -2(-3)² - 5(-3) + 4
Therefore,
f(-3) = -18 + 15 + 4
f(-3) = -3 + 4
f(-3) = 1
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