Answer:
The slope of a line is a measure of its steepness. In math, slope is calculated as "rise over run" (change in y divided by change in x).
What is the value of sin(80%)cos(20°) - cos(80°)sin(20°)?
Answer:
[tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
edge 2020
The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2
What is Trigonometry?Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.
Given:
sin(80) cos(20°) - cos(80°) sin(20°)
Using Trigonometric identity
sin ( A- B) = sin A cos B - cos A sin B
So, sin(80) cos(20°) - cos(80°) sin(20°)
= sin (80 - 20)
= sin 60
= √3/2
Hence, sin(80) cos(20°) - cos(80°) sin(20°)= √3/2
Learn more about trigonometry here:
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At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm? 5/4 4/9 5/9 or 4/5
Answer:
5/4
Step-by-step explanation:
At McNeely farm there are 75 sheep and 60 cow
Therefore the number of ratio of cow to sheep can be calculated as follows
= 75/60
=5/4
Answer:
4/5
Step-by-step explanation:
If P = 5(a + 8), what is a in terms of P?
Answer: (P-40)/5 = a
Step-by-step explanation:
P = 5(a+8)
P = 5a + 40
P - 40 = 5a
(P-40)/5 = a
Complete the table below to find solutions to the linear equation y=−4x−12.
Answer:
y= -4x-12
-4x
y= -12
Step-by-step explanation:
So Y is equal to -4x minus 12. You subtract the -4x by itself that will leave you with zero. And then you bring down Y and -12, and it will say that Y is equal to -12.
Answer:
X Y
0 -12
3 -24
-3 0
Step-by-step explanation:
i need help asap math sucks and is hard
8th grade math
Answer:
Slope = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
(x₁ , y₁) = (-9 , -4) & (x₂ ,y₂) = (-3, -6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]
What is the Ratio of 472 and 482?
2
[tex]2x - 8x = [/tex]
Answer:
-6x
Step-by-step explanation:
2x - 8x = -6x
Solve for s.
1/2s=7/2
s=1/7
s=2/7
s=3
s=7
Hello! I have done this test and the answer is!..... D: S=7
Have a great day!!!
What is the equation for slope -2,point (-1,4) in y=Mx+b form
Answer:
y=-2×+2
Step-by-step explanation:
Hope this helped you out and sorry if it is wrong!
10. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
2.7, 13, 20...
A. yes: 5
B. yes; 6
C. yes: 2
D. no
Answer:
No
Step-by-step explanation:
Which expressions have a value of 60 when h=3? Choose two correct answers.
Group of answer choices
1....(h+1)^3 - 4
2.....(4h)^2 + 36
3....4h^2+ 24
Answer:
(1) & (3)
Step-by-step explanation:
Given
List of options
Required
Select which is equal to 60 when h = 3
To do this, we simply substitute 3 for h in all of the options.
1.
[tex](h + 1)^3 - 4[/tex]
[tex](3 + 1)^3 - 4[/tex]
[tex]4^3 - 4[/tex]
[tex]64 - 4[/tex]
[tex]60[/tex]
Hence:
[tex](h + 1)^3 - 4= 60[/tex]
2.
[tex](4h)^2 + 36[/tex]
[tex](4*3)^2 + 36[/tex]
[tex](12)^2 + 36[/tex]
[tex]144 + 36[/tex]
[tex]180[/tex]
Hence:
[tex](4h)^2 + 36=180[/tex]
3.
[tex]4h^2 + 24[/tex]
[tex]4*3^2 + 24[/tex]
[tex]4 * 9 + 24[/tex]
[tex]36 + 24[/tex]
[tex]60[/tex]
Hence:
[tex]4h^2 + 24 = 60[/tex]
A triangle, ABC, has angle measures of 82,75, and 23 and no sides equal (congruent) in length. How would this triangle be classified?
Answer:
It would be an acute scalene triangle
Step-by-step explanation:
All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene.
We can classify this triangle as Scalene Acute triangle.
We have a triangle angle measures of 82, 75 and 23 and no sides equal (congruent) in length.
We have to classify this triangle.
What is a Triangle ?A triangle is a plane figure with three straight sides and three angles.
According to question, we have -
A triangle with no side congruent and all angles acute and unequal.
If all the three sides of a triangle are of same length, then the sides are said to be congruent. In an Equilateral triangle all the sides are congruent. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle. An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles i.e. 0 < [tex]\theta[/tex] < 90. Therefore, it is a Scalene acute triangle.
Hence, we can classify this triangle as Scalene Acute triangle.
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if a/3 = b/2, what are the following ratio's? b:a
Answer:
2:3
Step-by-step explanation:
a/3 = b/2
a/b=3/2
b/a=2/3
b:a=2:3
2:3 is a ratio of b:a
Martin and Sue are collecting clothes for a clothing drive. Sue collected 1/5 as many clothes as Martin did. If Martin collected 2 1/2 bags of clothes, how many bags of clothes did Sue collect?
Answer:
Sue collected 1/2 bags of clothes.
Step-by-step explanation:
Fractions
Let's solve the problem from end to beginning.
Martin collected 2 1/2 bags of clothes for a clothing drive. This mixed fraction can be expressed as:
[tex]2\frac{1}{2}= 2+\frac{1}{2}=\frac{5}{2}[/tex]
Sue collected 1/5 as many clothes as Martin did. This means she collected:
[tex]\frac{1}{5}\cdot \frac{5}{2}[/tex]
Multiplying:
[tex]\frac{1}{5}\cdot \frac{5}{2}=\frac{1}{2}[/tex]
Sue collected 1/2 bags of clothes.
What’s -10/-1 simplified
What’s -1/-3 simplified
Answer:
10 and 1/3
Step-by-step explanation:
Answer:
10
1/3
Step-by-step explanation:
help me please look at the file
Answer:
350 will be your answer :)
Step-by-step explanation:
so i did 70 divided by 2 because 140 divided by 70 = 2
and 70 divded by 2 IS 35!
But wait that isn't what it's asking for right?
then i did 35 TIMES 10 cuz that's what it;s asking for
i got 350 and so should you so in conclusion 350 is your answer
Hopefully this helped!
Answer:
They will drive 350mi in 10hrs.
Step-by-step explanation:
If they go 70 miles in 2hrs then that means they go 35mi in 1hr. So multiply 35 by 10 and you get 350mi.
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
Answer:
18 degrees Fahrenheit
Step-by-step explanation:
Mr. Bobo has 5 1/3 lbs of gummy bears. He will put an equal amount of gummy bears into 4 bags. How much gummy bear wil be in each baG?
Anwser:
5.3/4 = 1.3 (.3 repeating)
Step-by-step explanation:
5 1/3 = 5.3 (.3 is repeating)
then divided by 4
Convert 68 from hexadecimal to binary.
Answer:
68 = 01101000 (binary)
Answer:
1101000 Sorry i didnt put the right value here now its binary
Step-by-step explanation:
Hex 68 to decimal explained:
The value of HEX 68 in decimal is 104.
The value of HEX 68 in binary is 1101000.
8 8 X 160 = 8
6 6 X 161 = 96
HEX 68 = 104
the binary value is: 1101000
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST
HELP ME OUT HERE PLEASEEEEEEEEE
Answer:
2nd option
Step-by-step explanation:
2 3/8-1 3/10
19/8-13/10
190/80-104/80
86/80
43/40
1 3/40
One number is 34 more than another. Their product is −289. Step 1 of 2 : Set up an equation to solve the given word problem.
Answer:
-289=(34+x) * x
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
logb 2/3
Answer:
-0.2084
Step-by-step explanation:
[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]
If the mean of 50 scores is exactly 26,4, and the mean of 49 of those scores is exactly 26, is the 50 score ?
Answer:
The 50th score is 46.
Step-by-step explanation:
Given that
[tex]a_{50} = 26.4\\a_{49} = 26\\n_1 = 50\\n_2 = 49[/tex]
In order to find the 50th score we have to find sum of 49 values and 50 values and then subtract them.
Average is given by the formula:
[tex]Average = \frac{Sum}{Number\ of\ values}\\[/tex]
Using this formula, we can calculate sum for both averages
So,
[tex]a_{50} = \frac{s_{50}}{n_1}\\26.4 = \frac{s_{50}}{50}\\26.4*50 = s_{50}\\s_{50} = 1320[/tex]
And
[tex]a_{49} = \frac{s_{49}}{n_2}\\26.4 = \frac{s_{49}}{49}\\26*49 = s_{49}\\s_{49} = 1274[/tex]
Now for the 50th score,
[tex]50th\ score = s_{50} - s_{49} = 1320-1274 = 46[/tex]
Hence,
The 50th score is 46.
Write an equation in point-slope form and slope-intercept form for
each line.
the line passes through (4, 7), slope = 2
Answer: y=2x-1
Step-by-step explanation:
Equation of a line that passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex] [point slope form]
Given, Point = (4,7) , m= 2
Equation in point slope form : [tex](y-7)=2(x-4)[/tex]
To write in slope intercept form (y=mx+c) , we need to simplify it
[tex]y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1[/tex]
Hence, y=2x-1
Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The company makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?
A 10x — 15000 ≥ 50000
B 10x — 15000 > 50000
C 10x + 50000 > 15000
D 10x + 50000 ≥ 15000
Answer:
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Step-by-step explanation:
Given that the total cost of manufacturing by the company is $15000.
Let x be the number of gallons the company sells.
It is also mentioned that the company earns $10 on each gallon.
So the total profit will be the the difference of the selling cost of gallons and manufacturing cost
Mathematically,
[tex]10x-15000[/tex]
Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so
[tex]10x-15000 \geq 50000[/tex]
The number of gallons can be found by solving the obtained inequality.
Hence,
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
If it is 2 o'clock and you take away 25 minutes, what time would it be?
Answer:
1:35
Step-by-step explanation:
Answer:
It will be 1:35
Step-by-step explanation:
2:00 - 25 = 1:35.
an airplane moves at a constant speed of 120 miles per hour for 3 hours how many miles does it go
Answer:
Ok this is super easy
Step-by-step explanation:
120 for every one hour
so 120 x 3 isssss????
120 x 3 = 360 mile per hour
Hope I helped sorry If you get it wrong
Natalie and phil are running for 6th grade class president. Natalie receives 16 votes, and phil receives 12 votes.
Answer:
Natalie win as the 6th grade class president
Step-by-step explanation:she win by 4 points after Phil and Natalie has 16 votes and Phil has 12 votes
p2+24p+23 what would the answer be
Answer:
Step-by-step explanation:
You should factorize so
P2 + 24p + 23
P2 + 23 p + p + 23
P(p + 23) + 1(p + 23)
(p + 23) and ( p + 1) are the factors
Please hurry it’s urgent thank you