The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
What is difference formula in trignometry?The difference formula in trignometry for the sine funciton is given as,
[tex]\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)[/tex]
The trignometric equation given in the problem is,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)[/tex]
Compare this equation with the above eqution, we get,
[tex]A=80^o\\B=20^o[/tex]
Thus, this equation can be written as,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}[/tex]
Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
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a boy agreed to work one year for 1200 and a horse at the end of six months he quit and received 400 plus the horse what was the value of the horse
The cost of the horse given the amount received at the end of 6 months is 600
How to find the value of the horse?let
h = value of the horse6/12 × 1200 + 6h/12 = 400 + h
700 + 6h / 12 = 400 + h
700 - 400 = h - 6h/12
300 = 12h - 6h / 12
300 = 6h/12
cross product300 × 12 = 6h
3600 = 6h
h = 3600 / 6
h = 600
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Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.
A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.
Answer: 110 degrees
Step-by-step explanation:
A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.
So the m<1 = 110°
Is the measure of arc and angle the same?
An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Please check the attached file for an explanation.
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is x-1 taking away an x or adding an x?? im trying to find the perimeter of area tiles, and the perimeter is x + x + x + (x-1) + 1 + 1 + 1 so would it be 2x+3 or 4x + 3??
Answer:
4x + 2
Step-by-step explanation:
x - 1 is adding an x and subtracting a 1 ,so
x + x + x + (x - 1) + 1 + 1 + 1
= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms
= 4x + 2
so that you're coming purpose of each circle and find the radius and diameter below the circle
please help I need It now answer it correctly
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
5-(6- 9x)=1-(4-10 ) please
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)[/tex]
[tex]\qquad \sf \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 9x - 1 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \:9x = 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{8}{9} [/tex]
When you use a (______________), you pay for your purchases later.
A credit card
B checking account
C deposit
D credit score
Answer:
A. credit card
Step-by-step explanation:
When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.
solve . x -13 < -11
A.
x <-2
B.
x < 2
C.
x > 24
D.
x > -24
x - 13 < - 11
x < - 11 + 13
x < 2
How do you change a radical expression into an expression with radical exponents
Step-by-step explanation:
The answer is in the picture
Two times an integer minus 95 is equal to that integer divided by 6.
which trig ratio
determine which trig ratio to use to solve for x
Answer:
sin = opp / hyp
cos = Adj / hyp
tan = opp / adj
7. cos 41 = x / 86
8. sin x = 5/13
9. cos x = 9/37
10. tan 61 = x/28
11. sin 41 = x/65
12. tan x = 79/84
Step-by-step explanation:
Use induction to prove that 2 divides n^2 n whenever n is a positive integer
Answer:
that's wrong
Step-by-step explanation:
for n = 1
n^(2n)=1²=1
and 2 doesnt devide 1
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 787
83, 81, 70, 74
The minimum grade he must get on the last test in order to have an average of 78 is
Answer:
82
Step-by-step explanation:
The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82
Answer:
82.
Step-by-step explanation:
The sum of the 5 tests must be 5*78 = 390 for the average to be 78.
So in the last test is grade must be 390 - (83+81+70+74)
= 390 - 308 = 82.
help please? requestig help to a smart person?
[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]
[tex]for \: x = 15y[/tex]
[tex]50x = 50(15) = 750.00[/tex]
Option B :)Which of the following tables represents a proportional relationship?
A
y=4x
8/2=4. .and the rest too have the same value
Evaluate each expression.
Check
Match the algebraic expression on the left to the correct value when evaluated on the right.
j+ş evaluate when= 1
350
n
7
evaluate when n = 35
to
up
5
70a: evaluate when a = 5
1.5
X-9; evaluate when x = 10.5
11
12
Answer:
I showed the answers in the pic above ^
Step-by-step explanation:
I hope this helps you!
Answer:
Step-by-step explanation:
How much longer is a 1in button then a 3/4in button
Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
what is 62.28 dived by 0.72 step buy step
Answer:
62.28divided by 0.75 = 83.04
Step-by-step explanation:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Please help! will give brainlest!
Answer:
1
Step-by-step explanation:
[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]
[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
Round each decimal to the nearest whole number.
6.85
0.37
2.5
16.1
Answer:
7
0.37 is closest to 0 but probably 1
3
16
The figure1 can be transformed to create figure 2 using a single transformation which transformation can be used to accomplish this
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
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This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Answer:
270
Step-by-step explanation:
5 x 7 x 6= 210
2 x 5 x 6= 60
210 + 60= 270
The required volume of the fish tank is 240 cubic inches. option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The requried volume of the figure is given as,
Volume = height [area of the plot]
Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.
Volume = 6 [40]
Volume = 240 in³
Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.
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can someone answer this please
Answers:
Reason 23: Given
Reason 24: Reflexive Property
Reason 25: AAS
========================================================
Explanation:
Reason 23 is given because we simply restate the initial facts word for word. Whatever is said at the top "given" is copy/pasted into the table below. This explains why the second reason is "given" as well.
Reason 24 is "Reflexive Property" because any segment is congruent to itself. Think "reflexive" as in "mirror reflection".
For reason 25, we will use the AAS (angle angle side) congruence theorem. This is because we have two pairs of congruent angles (statement 1 and statement 2) as well as a pair of congruent sides (statement 3). We don't use ASA because the side FY is not between the angles mentioned. The order is important. Check out the diagram below. Take note of the color coding for the angles.
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation:
You are traveling by car to New York City. The map you will use for your journey is below. d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.
Based on the cities you will go through and your starting and finishing points, your father's estimate is a close estimation of the distance.
How far is New York from San Jose?The map is not provided so we will use a general map.
The distance from San Jose to Denver is around 1,301 miles.
The distance from Denver to Chicago is around 1,004 miles.
The distance from Chicago to New York is around 796 miles.
Added together we get:
= 1,301 + 1,004 + 796
= 3,101 miles
This is close to the 3,000 miles your father estimated.
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Adrian invested a total of $7000 in two accounts. One account pays 5% interest annually; the other pays 4% interest annually. At the end of the year, Adrian earned a total of $300 in interest. Write and solve a system of equations to find how much money Adrian invested in each account.
Adrian invested ____ in the 5% account and ____ in the 4% account.
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
please help me with the question in the picture
Answer:
(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).
Step-by-step explanation:
x² + 2x - 35:
what multiplies into -35 and adds into 2?
7 and -5
so the top is now (x + 7)(x - 5)
x² + x - 42
what multiplies into -42 and adds into 1?
-6 and 7
so the bottom is now (x + 7)(x - 6)
the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)
Answer:
[tex]\frac{x-5}{x-6}[/tex]
Step-by-step explanation:
Let's start with the numerator to factor it.
We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]
Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:
[tex]x^2+x-42=(x+7)(x-6)[/tex].
Now you can simplify
[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]
Which angle measures 30 degrees?
Answer:
angle e o f and c o e
Step-by-step explanation:
please mark me brainliest
Acute angle is the answer which is A
Trigonometry, how would I find the area of this parallelogram?
Answer:
A ≈ 160 cm²
Step-by-step explanation:
the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is
A = absinΘ
here a = 12 , b = 15 and Θ = 117° , then
A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )
in∆BDC
use sine rule for area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]
[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]
[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]
Area of parallelogram=2(80.1)=160.2m^2