cos 20°cos40°cos60°cos50°=1/16
can you please tell me is the equation is correct or not
or please answer with complete explanation and tell me what will come on R.H.S if the equation is incorrect.
Answer:
The value of cos cos 60+ 6 cos 40+ 15 cos 20 + 10 is equal to cos 50+5 cos 30 + 10 6 (Step-by-step explanation:
Solve the equation M2= 14
Answer:
7
Step-by-step explanation:
M2=14
divide both sides by 2
M2÷2=14÷2
M=7
Question 8
1 pts
Solve the problem.
Paul has grades of 68 and 90 on his first two tests. What must he score on his third test in
order to have an average of at least 70?
at most 70
O at least 52
at most 76
O at least 79
Answer:
At least 52
Step-by-step explanation:
Paul's current average is a 79. It wouldn't be any of the "at most" answers because the question is looking for an average of "at least" 70. And "at least 79" wouldn't be correct because he could get much less than a 79 and still have an overall average of 70. The answer is at least 52. Hope this helps! Good luck.
Compare: (i) −2/ 5 and −1 /5 (ii) −5/ 7 and −3 /7 (iii) 2 /9 and −5 /11
Answer:
(i) −2/ 5 < −1 /5 since -2 < -1 and denominators are same(ii) −5/ 7 < −3 /7 since -5 < -3 and denominators are same(iii) 2 /9 > −5 /11 as comparing negative and positive numbersStep-by-step explanation:
-2/5 and -1/5
Since -1 > -2
So, -2/5 < -1/5
(ii) -5/7 and -3/7
Since -5 < -3
So, -5/7 < -3/7
(iii)
2/9 and -5/11
Note :- That all positive fraction are greater than negative fraction.
So, 2/9 > -5/11
6. Andrew is planning on taking a vacation to Santorini, Greece which will cost $5,000. He makes $2900 ser
month. His fixed expenses are $1200 each month. He spends $200 on food and 5% of his monthly salary on
entertainment. How many months will it take to save enough for Andrew to go to Santorini, Greece
Answer: 3 months
Step-by-step explanation:
Answer:
3 1/2 months (Someone please check my math)
Step-by-step explanation:
We can set up this problem by making an equation.
(2900-1200-200-5%)(x)=5000
(1500-5%)(x)=5000
(1425)(x)=5000
5000 divided by 1425 equals 3.50...
My answer would be 3 1/2 months but I could be wrong.
A serving of walnuts is 1/2 of a cup. How many servings are there in a 1 1/2-cup bag of
walnuts?
Answer:
3
Step-by-step explanation:
1/2 a cup makes one serving in 1 1/2 a cup there are 3 servings
will give brainliest !!!!!!
Answer:
(3, 4)
Step-by-step explanation:
Answer:
y = mx + 3
m = Δy/Δx = -3/3 = -1
y = -1x+3
Step-by-step explanation:
Factor this expression
3x^2-11x-20
Answer:
(3x-4)(x+5)
Step-by-step explanation: First set up a diamond problem. Find what two numbers add to 60 since 3*20 and add to -11. That would be 15 and -4. Then draw a 2x2 box, and put in 3x^2 the -20, 15x and -4x. Then find the factors. Hope that helped! :)
Answer:
(3x+4)(x-5)
Step-by-step explanation:
Write an exponential model given the two points (8,150) and (9,220).
Answer:
Step-by-step explanation:
The exponential model for the given points is y = 6.88(1.47)ˣ
What is exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given,
points are (8,150) and (9,220)
Exponential function,
y = abˣ --------(A)
for point (8 , 150)
150 = ab⁸ -------(1)
for point (9 , 220)
220 = ab⁹ -------(2)
Dividing equation (2) by equation (1)
220/150 = ab⁹/ab⁸
Simplifying
1.47 = b
Substituting value of b in equation (1)
150 = a(1.47)⁸
150 = a(21.80)
a = 150/21.80
a = 6.88
Substituting value of a and b in equation(A)
y = 6.88(1.47)ˣ
Hence, y = 6.88(1.47)ˣ is the exponential model for given points.
Learn more about exponential function here:
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WILL GET MARKED THE BRAINIEST
Which logic statement represents this argument?
If it’s a weekend, I exercise. It’s not a weekend. So, I won’t exercise.
Assume that p represents “It’s a weekend” and q represents “I exercise.”
A.
(p q) p
B.
[(p q) p] q
C.
[(p q) p] q
D.
[(p q) p] q
An elite runner's stride rate is currently 168 strides per minute (the number of steps she takes
per minute). She wants to improve her stride rate to 180, and believes that through training, she
can increase her stride rate by 2 strides per minute each day, d. Which equation best models the
situation?
Answer:168+2d= 180
Step-by-step explanation:
Answer:
Step-by-step explanation: 168 +2d=180
PLEASEE HELPPPPP
❤️❤️❤️❤️
Answer:
15
Step-by-step explanation:
(2x-1)+(x+17)+(4x-15)=106º
2x+x+4x=7x
-1+17-15=1
7x+1=106º
-1
7x=105º
/7 /7
x= 15
1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ......
Find the value
Thank you!
Step-by-step explanation:
The sum of consecutive squares is
[tex]1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)[/tex]
Therefore
[tex]1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455[/tex]
Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
Jace buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount, how much is each bottle of juice?
$0.67 for each bottle of juice
**PLEASE ANSWER THE QUESTION BELOW.**
WILL MARK BRAINLIEST IF YOUR ANSWER IS CORRECT, RELIABLE, AND GOOD. PLEASE ADD DECIMALS, THANK YOU!
Please look at the picture provided below.
NO LINKS OR FALSE ANSWERS.
Answer:
80.5 km/h
Step-by-step explanation:
divide the 426.65 by 5.3 hours to get 80.5/1 hr
When we analyze the relationships between different quantities, identify their units of measurement, and convert these quantities for equal comparison, we are using dimensional analysis. Dimensional analysis uses a or conversion factor, to change units of measurement while maintaining the value of the measurement. In a conversion factor, the numerator and equal the same amount, just in different For example, to convert 3 miles into feet, you would 3 miles by a conversion factor created from the units of miles and feet. Because 1 mile equals 5,280 feet, two conversion factors can be created:1 mile or 5,280 feet/1 mileMultiplying any number, such as 3 miles, by either of these does not change the number's over value. To determine which conversion factor we use, we place the unit we do want in the bottom, while we put the unit we want to get rid of on th
The steps involved in using dimensional analysis for unit conversion is highlighted below :
The question is incomplete, however, from the portion given, we can see that the text is based on using dimensional analysis to convert units of measurement.
We relate our given unit to the desired or expected unit :
From the text:
To convert 3 miles into feets :
The given unit = 3 miles
The expected or desired unit = feets
The relationship between Given and desired unit :
1 mile = 5280 feets
(5280 feets / 1 mile )
With the unit we want or desire placed at the bottom
To convert a given number of miles to feets ;
Multiply the given value by the relation defined :
Hence,
3 miles to feets :
3 miles × (5280 feets / 1 mile)
Miles cancels out
3 × 5280 feets = 15,840 feets
Another example :
Convert ; 10 minutes into seconds :
1 minute = 60 seconds
given unit = minute ; desired unit = seconds
Relationship = (60 seconds / 1 unit)
10 minutes × (60 seconds / 1 minute)
Minute cancels out :
10 × 60 seconds = 600 seconds
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It costs n dollars to make a dozen bicycles. At the same rate, how many dollars will it cost to make 30 bicycles?
Step-by-step explanation:
n dollars for 12 bicycles.
what is the factor to go from 12 to 30 ?
12×f = 30
f = 30/12 = 5/2
as it will be the same rate, if will cost 5n/2 dollars
Can somebody do this please I don’t know how and I just need the credit
Answer:
7. M = (-1.5,7)
8. (8,4)
9. m<QRS=46°
Step-by-step explanation:
7. Use the midpoint formula which is (x1+x2/2 , y1+y2/2)
So (-1-2/2 , 9+5/2)
(-3/2 , 14/2)
So M = (-1.5,7)
8. This is one simple if you understand.
Since (-6,6) is the starting end point and (1,5) is the mid point then (8,4) has to be the other end point. -6 to 1 is +7. 1 to 8 is +7. 6 to 5 is -1. 5 to 4 is -1.
9. 3x-8+2x+6=98
5x-2=98
5x=100
x=20
So plug in x for QRS
2(20)+6
40+6
46
Hope this helps
joan has 72 blue and 27 green marbles Benny has 3 times more blue marbles than Joan how many dozen marbles does Benny have
Add. −14 + (−7) Enter your answer in the box.
Answer:
-21
Step-by-step explanation:
add the numbers -14 and -7 to get -21
[tex] - 14 + ( - 7) \\ \\ - 14 - 7 \\ \\ - 21[/tex]
Hope it help yousolve the systems of linear equations using substitution
1.x-4y=-10 2.a-3b=24
2x+y=-11 a+2b=-16
3.4j-5k=27 4.m+n=-3
k=j-7 m-4n=27
Step-by-step explanation:
1 . x - 4y = -10
2x + y = -11
multiply the first equation with 2
2x - 8y = -20
-
2x + y = -11
===============
= 0 - 9y = -9
y = 1
x = -6
-------------------------------------------
2.
a - 3b = 24
-
a + 2b = -16
=============
= 0- 5b = 40
b = - 8
a = 0
and so on
The chord of a circle of radius 6 ft is 8 ft long . find the distance if the chord from the center.
Referring to attached figure :
given values : -
radius of the circle = 6 ft measure of chord = 8 ft (AB)construction : -
I actually draw a perpendicular on chord from the centre, and we know that the perpendicular from centre on it bisects the given chord, therefore measure of
AC = BC = 1/2 × ABAC = BC = 4 ftnow, let's apply Pythagoras theorem for triangle OCB,
we get :
OC² + CB² = OB²OC² + 4² = 6²OC² + 16 = 36OC² = 36 - 16OC² = 20OC = [tex] \sqrt{20} [/tex] ft OC = [tex] 2\sqrt{5} [/tex] ftAnd here OC is the distance of chord from its center, therefore required answer is [tex] 2\sqrt{5} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{ \: \: \: TeeNForeveR \: \: \: }}[/tex]
Select the correct answer. Which statement best defines a circle?
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
B. the set of all points in a plane that are the same distance from a given point called the center
C. the set of all points that are the same distance from a given point called the center
D. points in a plane that surround a given point called the center
Answer:
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center. hope this helps
Step-by-step explanation:
- Zombie
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
What is a circle?A circle is defined as a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A circle can be characterized by its center's location and its radius's length.
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
Learn more about circle here:
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Find the degree of 2b^9c^5
[tex] \large \mathfrak{Solution : }[/tex]
Degree of a polynomial is the highest exponential power in the expression.
i.e 9 here
so, degree of the given expression is 9
Help and hurry! Fastest and correct answer gets brainlesst.
No explanation needed
.
Here is a sketch of Noah's bedroom.
He wants to create a scale drawing of his bedroom to show to his designer.
He uses a scale of 1 m = 6 cm to draw his scale drawing.
He draws a 33 cm line to represent wall D.
What is the actual length of wall D according to the above mentioned scale?
Answer:
5.5 m
Step-by-step explanation:
1m = 6cm
x = 33 cm
x = 33 /6
= 5.5 m
I kind of understand this question, but I'm not sure how to answer it directly, can someone help please.
what is the answer to this question.
Answer:
Step-by-step explanation:
A proportional relationship is one that starts at (0,0) and is usually a straight line relationship.
Of those choices offered, only a is correct by this definition.
What's the volume of the following is rectangular prism plsssssss will mark brainlist HELPPPP
Answer: 6.75 or 6 3/4
Step-by-step explanation: 3 3/8 x 2 = 6.75 Brainliest please?
In the standard (x, y) coordinate plane, what is the distance between the points (2, -10) and (-3,5) ?
Answer:
5√10, answer C
Step-by-step explanation:
You can use Pythagoras for this.
calculate the distance between the x coordinates (Δx), which is done by taking the biggest number and subtracting the the coordinates from each other. Aka 2 - - 3 = 2 + 3 = 5
Δy = 5 - - 10 = 15
then a^2 + b^2 = c^2 gives
5^2 + 15^2 = 250
c = √250
Then you still have to simplify. This is done by extracting the root out which results in an integer (a whole number), which is in this case 25.
√250 = √25 * √10 = 5√10, so answer C
