Answer:
[tex]\theta = 148.8[/tex]
Step-by-step explanation:
Given
[tex]R_x = -419[/tex]
[tex]R_y = -253[/tex]
[tex]R = 490[/tex]
Required
Determine the value of [tex]\theta[/tex]
Since, [tex]\theta[/tex] is counter clockwise from x axis;
The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is
[tex]cos\theta = \frac{R_x}{R}[/tex]
Substitute values for Rx and R
[tex]cos\theta = \frac{-419}{490}[/tex]
[tex]cos\theta = -0.8551[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(-0.8551)[/tex]
[tex]\theta = 148.770784108[/tex]
[tex]\theta = 148.8[/tex] (Approximated)
what’s the slope-intercept form of y + 3 = 4(x - 5),
Slope-intercept form is: y = mx + b
m = slope
b = y-intercept
y + 3 = 4(x - 5)
Distribute the 4
y + 3 = 4x - 20
Subtract 3 from both sides.
y = 4x - 23
Answer:
Step-by-step explanation:
Slope intercept form...
y=mx+c
where, m=slope
c=intercept
y + 3 = 4(x - 5)
Open the Brackets.
y + 3 = 4x - 20
SUBTRACT 3 FROM BOTH SIDES.
y + 3 (-3)= 4x - 20 (-3)
Take note of the signs and solve.
y = 4x - 23
4 is the slope.
-23 is the intercept.
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Marc is creating a rectangular garden in his back yard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answer:[12,20]
Step-by-step explanation:
The value of width will be from 12 to 20.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
Marc is creating a rectangular garden in his backyard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet.
Then the inequality is given as,
60 < 2(W + 18) < 76
Simplify the inequality, then the value of the width W will be
60 < 2(W + 18) < 76
30 < (W + 18) < 38
12 < W < 20
Thus, the value of the width will be from 12 to 20.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
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What is the lowest value of the range of the function
shown on the graph?
Answer:
2
Step-by-step explanation:
2
A jar contains 68 marbles, of which 26 are blue, 29 are red, and the rest are green. What is the ratio of green marbles to all marbles?
What is the missing number 7/8 + blank equals 1
Ava is 23cm taller then Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78m tall, how tall are Ava and Olivia
Answer:
Ava = 1.12 m tall
Olivia = 0.89 m tall
Step-by-step explanation:
given;
Ava is 23cm taller then Olivia,
Olivia is half the height of Lucas.
If Lucas is 1.78m tall
find:
how tall are Ava and Olivia
-------------------------------------
Ava = Olivia + 0.23
Olivia = Lucas / 2
Lucas = 1.78
plugin values into the equation above
Olivia = 1.78 / 2 =
Olivia = 0.89 m tall
Ava = 0.89 + 0.23
Ava = 1.12 m tall
1. In part (b) of the example, why isn't AB a correct answer? 2. In part (c) of the example, would KJL be an appropriate answer?
Answer:
Step-by-step explanation:
1. AB isn't a correct answer because it only refers to the part of the line between point A and point B. This is incorrect because it doesn't represent the whole line which goes on infinity past point A (as seen by the arrow).
2. KJL would not be an appropriate answer because the points must be listed in the same order that they appear in direction of the line. The angle shown is angle K so K should be the middle letter as it is the middle point with the angle. KJL would not be appropriate because it would refer to the angle J if there was another line between J and L.
Hope this helped!
In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.
What is the weight of gold in the alloy, if there are 80g of silver?
Given :
The ratio of the amount of gold to the amount of silver is 2:5.
To Find :
The weight of gold in the alloy, if there are 80 g of silver.
Solution :
Let, amount of gold is x.
So, the ratio of amount of gold and silver is :
[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]
Therefore, the weight of gold in the alloy is 32 g.
Hence, this is the required solution.
Answer:
32
Step-by-step explanation:
do 80÷5=16 to get unit. Then do 16*2=32
3. Ms. Reyes' class did a survey of 50 students. 20 of the students said comedies
were their favorite type of movie.
What percent of the students preferred comedies?
Answer:
40 percent
Step-by-step explanation:
Use of proportion
50 (2) = 100%
20 (2) = 40%
do the same thing; what you do on the bottom you do on the top too
Answer:
I believe it is 40%.
Step-by-step explanation:
23,500 rounded to the nearest thousand?
Answer:
24,000
Step-by-step explanation:
is simple just 3500 is closer to 4000 than 3000
Answer:
24,000
Step-by-step explanation:
If $8500 is invested at 3.4% interest, compounded monthly, how much will the
investment be worth in 23 years?
O A. $18,339.66
O B. $9,071.53
O C. $19,142.10
O D. $18,559.10
Answer:
In 23 years, you will have $18,559.10
Step-by-step explanation:
This week Kent worked 15 hours at 12.50 an hour his paycheck including his commission
Answer:
$187.5
Step-by-step explanation:
if he worked for 15 hours at $12.50 an hour he would have made $187.5
Answer:
187.50
Step-by-step explanation:
If the points (1,4) and (3,12) lie on the line representing a proportional relationship, what is another point that
lies on the line?
Answer:
its (2,8)
Step-by-step explanation:
the point is the multiple of the abscissa 1 and ordinate 4 if we multiply 2 with 1 and 4 we get (2,8) and the ratio is also same
or it can be all the multiples of 1 and 4
thank u
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Describe the difference between the variance between samples MSB and the variance within samples MSW
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
Generally
[tex]MS_B[/tex] stand for Mean Square Between which the mean calculated based on the difference between the sample means
While
[tex]MS_W[/tex] stands for Mean Square Within which the mean calculated based on the difference between the elements within the set(group)
Thus
The [tex]MS_B[/tex] measures the differences related to the treatment given to each sample. The [tex]MS_W[/tex] measures the differences related to entries within the same sample.
Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent
variable.)
Vertex: (-1/2,0)
point:
(-3/2,-16/3)
Answer:
[tex]y = \frac{16}{3} x^{2} + 16x + \frac{20}{3}[/tex]
Simplify
2 (0.1 + x) -8 (-X-0.3)
Answer:
0.2+2x+8x+2.4
10x+2.6
x=2.6-10
x=-7.4
10. Convert 102°F to °C using this equation: C = 5(F-32)
Round to the nearest tenth.
9
Answer:
38.9 degrees C
Step-by-step explanation:
Use the equation:
[tex]C=\frac{5}{9} (F-32)[/tex]
to convert degrees Fahrenheit to degrees Celsius. So replace the value for the Fahrenheit with 102 and solve for C:
[tex]C=\frac{5}{9} (F-32)\\C=\frac{5}{9} (102-32)\\C=\frac{5}{9} (70)\\C=\frac{350}{9} \approx38.89\,^oC[/tex]
which to the nearest tenth can be written as: 38.9 degrees C
Ima Talker's cellphone bill is $30 in January. In each subsequent month, her bill increases by $13. (ex.
February bill is $43). How much will Ima have spent in total on her cell phone by the end of the year
(January to December)?
a. $173
d. $1296
b. $2436
e. $186
C.
$1218
Answer:e-186
Step-by-step explanation:43-13=30 and then multiply 13x12 which is 156 and then add 30 to 156 and you get your answer
Pls pls pls help ASAP 1,2,3,4 ??
Answer:
draw a circle, cut into 3 equalbparts then shade one part
Step-by-step explanation:
the third one down
hope this helps
Five less than one half of a number is 18.
5 – = 18
1/2 – 5 18
x – 5 = 18
5- X = 18
Answer:
x-5=18 because x would be the number with "5 less" being the "-5."
Hoped I helped
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Solve the equation.
b + 6 = 27
Answer:
Step-by-step explanation:
b+6=27
b=27-6
b=21
Answer:
b = 21
Step-by-step explanation:
To find this answer, all you have to do is subtract 6 from both sides of the equal sign, where you will cancel out the 6 and subtract 6 from 27. 27 minus 6 is 21, so you are left with b = 21
can you help me , would this answer be 1 ?
Step-by-step explanation:
Y=90° as its a right angled triangle
There are 30 students in a sixth grade class. 60% of the students are girls. How many of the students are girls?
Answer:
18
Step-by-step explanation:
30 students * 60/100= 18
A recipe for chili uses 2 cups of beans. Keith is making 1, times the recipe. Which equation helps Keith find how many cups of beans he needs?
Answer:
2x1=2
Step-by-step explanation:
If it asks for 2, but he is making that one time he still needs to use 2.
which expression is equivalent to -4.5-6.2y
Answer:
the answer is 6.2y-4.5
Step-by-step explanation:
Answer:
the answer is A. -6.2y - 4.5
Step-by-step explanation:
got it right on edge, i hope this helps.
Product and Quotient Functions
Answer:
srry don't know....
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answer ASAP. Subject is math
Answer: option C is wrong
Find the extraneous solution of the equation |4x−42|=−10x.
Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24