Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
Name a pair of complementary angles (there may be more than one pair).
<1 and <5
<1 and 2
<2 and <4
<3 and <4
<5 and <4
Answer:
∠3 and ∠4
Step-by-step explanation:
In this diagram, angles 3 and 4 are the only pair whose sum is 90°.
In this given figure, [tex]\angle{3}[/tex] and [tex]\angle{4}[/tex] are the only pairs of angles that have the measure of 90°.
So,[tex]\angle{3}[/tex] & [tex]\angle{4}[/tex] are the pair of angles.
▬▬▬▬▬▬▬▬▬▬▬▬?show that 33105 is divisible by 15?
Answer:
um 2207 times 15 is 33105
Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?
Answer:
3,402
Step-by-step explanation:
Step 1:
243 × 14
Answer:
3,402
Hope This Helps :)
Answer:
3402
Step-by-step explanation:
Solve: −6x+4≤−16−2x . Express your answer in interval notation. (Express your answer in interval notation. Use U to indicate a union of intervals, and "oo" to express ∞)
Answer:
[5, oo)
Step-by-step explanation:
Add 6x+16 to both sides:
20 ≤ 4x
5 ≤ x . . . . . . divide by 4
The solution interval is [5, oo).
Answer:
A is the answer
Step-by-step explanation:
fd - m = 8
Solve for d
Please help!
Answer:
[tex]d=\frac{8+m}{f}[/tex]
Step-by-step explanation:
[tex]fd-m=8[/tex]
Add m to both sides:
[tex]fd-m+m=8+m[/tex]
[tex]fd=8+m[/tex]
Divide both sides by f:
[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]
[tex]d=\frac{8+m}{f}[/tex]
Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
25 meals
Step-by-step explanation:
All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)
Craig has of collection of 220 marbles. He lets his friend have 14 of his collections and sells 15 of his collection to the novelty store. He takes 15 marbles home to give to his brother. How many marbles remain in Craig's collection?
Find KM in this segment .
Answer:
164
Step-by-step explanation:
7x + 24 = 6x - 20 + 64
7x - 6x = 64 - 20-24
x = 64 - 44
x = 20
KM = 7x + 24 = 7*20 + 24 = 140 + 24
KM = 164
Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality
Answer:
addition property of equalityStep-by-step explanation:
Adding the same number to both sides of equation doesn't change the equality.
¹/₉ + t = 7
+(-¹/₉) +(-¹/₉)
t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉
addition property of equality
X+1
If g(x) =
X-2 and h(x) = 4 - X, what is the value of (g•h)(-3)?
8/5
5/2
15/2
18/5
Answer: the correct answer is: 8/5
Step-by-step explanation: just took the quiz.
PLEASE HELP ME THIS IS DUE IN 90 MINUTESSS
Answer:
4. it would take greater than 31.25 hrs for tims price to be better.
Step-by-step explanation:
Find x
Worth 10 pts
Pls show work
Explanation:
The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.
The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.
Translate into Algebra.
Jim will be x years old in two years. At that time, his sister will be twice as old as he will be. How old is Jim's sister now?
Let s be Jim's Sister's age now
s = 2x
what is the sum of 3/20+ the square root of 10
Answer:
3.31
Step-by-step explanation:
sqr 10 = 3.16
3/20 = .15
3.16+ .15
3.31
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.
Answer:
1-x=y cubed
Step-by-step explanation:
difference between 1 and a number is 1-x and the answer to this you cube.
How does a whale fall community affect ocean sediment? The decomposition of the whale enriches the sediment. The remains of the whale pollute the sediment. The sediment is transformed into food for mussels and crabs. The bacteria that are attracted break down the sediment nearby.
Answer:
The decomposition of the whale enriches the sediment.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was correct
hopefully this helps you :)
pls mark brainlest ;)
4. So
3. Gecko Wireless has a 1000 minute monthly plan
that costs $29.95. Each bill also includes $2.95 for
federal communications tax and $0.05 per minute
over 1000. If m represent the minutes over 1000,
which equation represents the cost, p, of wireless
phone service? (MAFS.912.A-CED. 1.1)
defin
solut
a. P= 29.95 + 2.95
b. P=0.05 + m(29.95 +2.95)
P= 29.95 + 0.05m +2.95
d. P= (29.95 + 0.05)m +2.95. What equation should I use?
Answer:
[tex]P=29.95+0.05m+2.95[/tex]
Step-by-step explanation:
The monthly plan costs starts at $29.95, so we're not changing that.
For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.
If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that [tex]m[/tex] represents each minute over 1,000, we're going to have to represent minutes over 1,000 as [tex]0.05m[/tex] in our equation.
Set up your equation:
[tex]P=29.95+0.05m+2.95[/tex]
In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.
Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
As we know the sum of consecutive interior angles equals to 180°:
∠BGH + ∠DHG = 180°Line GP bisects angle BGH , therefore
m∠PGH = 1/2*m∠BGHLine HP bisects angle GHD, therefore
m∠PHG = 1/2*m∠GHDSum of two angles of triangle GHP:
m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°Therefore the missing angle a is:
∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP
Answer:
5 units
Step-by-step explanation:
Please see attached pictures for the full solution.
(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)
Answer:
D 21/5
Step-by-step explanation:
edge
A point lies on AB and is 1/4 the distance from A to B. Point A is located at (2, 8) and point B is located at (8, 5).
What are the coordinates of this point?
Answer:
[tex](\frac{7}{2} ,\frac{29}{4} )[/tex]
Step-by-step explanation:
Read the headline below and complete the instruction that follows. “Sloppy Play Sends Tigers to Final Loss” Determine which word indicates bias. Sloppy Tigers Final Loss
Answer:
Sloppy
_________
Answer:
sloppy
Step-by-step explanation:
it basically give a description that not everyone would think about it. if i described texas A&M as Trash not all people think that therefore making the statement an opinion and bias.
I’ll mark you brainliest for the first response! Explain answer in full detail.
Answer:
x = 25
Step-by-step explanation:
2x + 4 + x + 11 = 90, combine like terms
3x + 15 = 90, subtract 15 from both sides
3x = 75, divide by 3
x = 25, you have your answer!
Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.
Answer:
77
Step-by-step explanation:
77 is the only correct answer
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
Complete question is;
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans
Answer:
A) Relative percent distribution
B) 576 Americans
Step-by-step explanation:
A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.
Thus,it is relative percent distribution.
B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people
Plz helpp me!!?:) I don’t understand
-24 - (-13) = w
Simplify the left side
-24 + 13 = w
Add together like terms
-11 = w
Given the replacement set {0, 1, 2, 3, 4}, solve 6x – 3 = 3.
Answer: The answer is 1
It is 1
Step-by-step explanation:
202·87–100·87–2·87=
Step-by-step explanation:
202·87–100·87–2·87
=99.13
Answer:
8700
Step-by-step explanation:
If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700
3.
Find a relationship between x and y so that (x, y) is equidistant from the two points (3,-1)
and (2,5). Show your work.
Answer:
The answer is 6.082763
Step-by-step explanation:
We use the Distance formula for this problem.
What is the range????????