Answer:
C. (25,20)
Step-by-step explanation:
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If number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
What is Inequality?An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
In the first scenario, where there is a $500 flat rate regardless of the number of hours worked, the pay per hour remains constant at $500 divided by the number of hours worked.
So, the graph for this scenario would be a horizontal line at a height of $500.
In the second scenario, where the contractor is paid $20 per hour worked, the pay per hour is fixed at $20.
let the number of hours be worked be x.
Then, 20x < 500
x< 25
So, if number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
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If sin(0)=24/26 what are the other two trigonomic ratios
Answer:
[tex]\begin{aligned}{&\cos \theta=\frac{10}{26} \\\bf{&\tan \theta=\frac{24}{10}}\end{aligned}[/tex]
Step-by-step explanation:
Since the angle is in the first quadrant, the values of all trigonometric functions are positive. Also. the formulas for the trigonometric functions we need to find from the problem are shown below:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\\tan \theta &=\frac{y}{x}\end{aligned}[/tex]
Based on the formulas listed, the value of y and r are y = 24 and r = 26 respectively. This means that in order to determine the value of the other functions, we need In compute for the value of x using the Pythagorean Theorem:
[tex]\begin{aligned}r^{2} &=x^{2}+y^{2} \\r^{2}-y^{2} &=x^{2}+y^{2}-y^{2} \quad\left[\text { \text{Subtracting \ both \ sides \ of \ the \ equation\ by} } y^{2}\right] \\r^{2}-y^{2} &=x^{2} \\\sqrt{r^{2}-y^{2}} &=\sqrt{x^{2}} \\\sqrt{r^{2}-y^{2}} &=x \\\sqrt{26^{2}-24^{2}} &=x \\10 &=x\end{aligned}[/tex]Then, substituting this to the formula to determine the answers yields:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\&=\frac{10}{26} \\\tan \theta &=\frac{y}{x} \\&=\frac{24}{10}\end{aligned}[/tex]
Therefore, the answers are:
[tex]\begin{aligned}&\cos \theta=\frac{10}{26} \\&\tan \theta=\frac{24}{10}\end{aligned}[/tex]
Answer:
See below
Step-by-step explanation:
We are here given that ,
[tex]\longrightarrow \sin\theta =\dfrac{24}{26}[/tex]
And we would like to find out other trigonometric ratios ( since it is not mentioned about which two I will find out all 6 ) . As we know that ,
[tex]\longrightarrow \sin\theta =\dfrac{perpendicular}{hypotenuse} =\dfrac{p}{h}[/tex]
So that ,
[tex]\longrightarrow \dfrac{p}{h} =\dfrac{24}{26}[/tex]
Let us assume the given ratio to be 24x : 26x .
So we can say that ,
hypotenuse = 26xperpendicular = 24xNow let's find out the value of base , so that we can find out the other ratios .
By Pythagoras Theorem ,
[tex]\longrightarrow (perpendicular) ^2+(base)^2=(hypotenuse) ^2[/tex]
Substitute the respective values ,
[tex]\longrightarrow (26x)^2=(24x)^2+b^2\\[/tex]
[tex]\longrightarrow 676x^2 = 576x^2+b^2\\ [/tex]
[tex]\longrightarrow b^2=100x^2\\[/tex]
[tex]\longrightarrow b =\sqrt{100x^2}\\[/tex]
[tex]\longrightarrow \boldsymbol{ b = 10x } [/tex]
Now we may find the other ratios as ,
[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{10x}{26x}=\boxed{\boldsymbol{\dfrac{5}{13}}}\\[/tex]
[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}=\dfrac{24x}{10x}=\boxed{\boldsymbol{\dfrac{12}{5}}}\\[/tex]
[tex]\longrightarrow \cosec\theta =\dfrac{hypotenuse}{perpendicular}=\dfrac{26x}{24x}=\boxed{\boldsymbol{\dfrac{13}{12}}}\\ [/tex]
[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{26x}{10x}=\boxed{\boldsymbol{\dfrac{13}{5}}} \\[/tex]
[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{10x}{24x}=\boxed{\boldsymbol{\dfrac{5}{12}}} [/tex]
And we are done !
Find the area of this trapezoid Dimensions are in meters
Answer:
42 meters squared
Step-by-step explanation:
Lets split the trapezoid into 2 parts (6*5 and 2*6)
6*5+2*6
= 30+12
= 42
Answer:
36
Step-by-step explanation
5+7 = 12
12/2 = 6
6 * 6 = 36
formula = ((a+b)/2) * h
evaluate 6+4/a + b/3 when a=4 and b=3
Answer: 31/4 or 7.75
Step-by-step explanation:
Find the side labeled x.
HELP
Answer: 89
Step-by-step explanation:
60 + 31 = 91
180 - 91 = 89
If this isn’t correct then sorry :/
I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units
Answer:
28
Step-by-step explanation:
A farmer has some cows and horses. All the animals are either brown or black. The table shows how many of each
animal is on the farm.
one animal is selected randomly. what is the probability of chowing a horse given that they are brown? round answer to nearest hundredth.
Answer:
P = 1/5 = 0.20 = (20%)
Step-by-step explanation:
there are 12 horses and 8 cows, in total there are 20 animals
of which 4 horses are brown
Then
[tex]P=\frac{4}{20} =\frac{1}{5}[/tex]
Hope this helps
What is 6
4
-237
-
?
10
A. 3.
C. 3
19
20
5
B. 3
D. 4
10
10
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6\dfrac{1}{4} - 2\dfrac{3}{10}}\\\\\mathsf{\rightarrow \dfrac{6\times4+1}{4} - \dfrac{2\times10+3}{10}}\\\\\mathsf{\rightarrow \dfrac{24 + 1}{4} - \dfrac{20 + 3}{10}}\\\\\mathsf{\rightarrow \dfrac{25}{4} - \dfrac{23}{10}}\\\\\mathsf{\rightarrow \dfrac{79}{20}}\\\\\mathsf{\approx 3\dfrac{19}{20}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option\ C. \ 3 \dfrac{19}{20}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]n 12. Find the volume of the sphere.
Answer:
2929 1/3 [tex]\pi[/tex] in^3
Step-by-step explanation:
The equation for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex].
Insert 13 for r. Then, simplify.
Solve the equation for x
Answer:
5x-18=4x+7 ( vertical opposite angle)
5x-4x=7+18
x=25
Bobby has 58 of a pepperoni pizza in his refrigerator. He eats 14 of this for his lunch. Of the following, which is the best estimate of the fraction of the original pizza left after Bob's lunch?
Answer:
5/32
Step-by-step explanation:
Write the decimal equivalent for 9 over 5.
divide 9 by 5 u will get 1.8 as the answer
Explanation:
9 over 5 = 9/5 = 18/10 = 1.8
You can also use long division as shown below.
Or you can use your calculator to quickly get this value.
What’s the greatest mad
Answer: Jason's team.
Step-by-step explanation: When finding the MAD, you need to find the mean of the data, which they said is 10. The next step is to subtract numbers from the data from the mean, which is 10 for all three dot plots. For example, for Jason's team, we need to subtract all the 7's, 8's, 11's, 12's, and 13's, because those are the only parts of the plot with data. Let's try subtracting 7 - 10. The answer is -3, but we need to make it positive, because that's how data works, so it's actually 3. You keep doing this for all three plots, which is provided below:
Jason's Team: 3, 3, 2, 2, 2, 1, 2, 3, 3, 3.
Hannah's Team: 3, 2, 2, 1, 0, 0, 1, 1, 3, 3.
Dion's Team: 1, 1, 1, 1, 0, 0, 0, 0, 1, 3.
Now, the next step is adding all these values and dividing it by ten, since that's how many numbers there are for the data.
Jason's Team MAD: 2.4.
Hannah's Team MAD: 1.6.
Dion's Team MAD: 0.8
As you can see, Jason's Team has the greatest MAD, which is your answer.
Let me know if this is right! :)
Little helppp please
Answer:
Answer given above
Step-by-step explanation:
a.) 6 m n^8
b.)2x^8 y^3
c. ) d^3 e
8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?
Answer:
Sarpong is 11.
Quartey is 39.
Step-by-step explanation:
Let Sarpong's age now = s.
Let Quartey's age now = q.
Now:
q + s = 50
In five years, their ages will be
Sarpong: s + 5
Quartey: q + 5
q + 5 = 4s
We have a system of two equations in two variables.
q + s = 50
q + 5 = 4s
We will use the substitution method.
Solve the second equation for q.
q = 4s - 5
Substitute 4s - 5 for q in the first original equation and solve for s.
4s - 5 + s = 50
5s = 55
s = 11
q + s = 50
q + 11 = 50
q = 39
Answer:
Sarpong is 11.
Quartey is 39.
At what point does the line given by the following equation cross the y-axis? y = (6/9)X + 9
A. (9,0)
B. (0,6/9)
C. (0,9/6)
D. (0,9)
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{6}{9}[/tex] x + 9 ← is in slope- intercept form
with y- intercept c = 9
then the line crosses the y- axis at (0, 9 )
questions attached please help me
Answer:
Step-by-step explanation:
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answer: 94 degrees
Step-by-step explanation:
If f(x)=2x - 4, then f(-3)=?
Answer: f(-3) = -10
Step-by-step explanation:
[tex]Substitute \ $x=-3$\\\\$$\begin{aligned}&f(3)=2(-3)-4 \\&f(3)=-6-4 \\&f(3)=-10\end{aligned}$$[/tex]
What percent is represented by the region that is shaded?
Answer:
66 percent
Step-by-step explanation:
⅔ are shaded which is 0.6 recurring which as a percentage is 66 percent. may have to say 66.6
Solve the equation 3x = 9 Show and justify each step you take to solve the equation
Hello!
This is a one-step equation, meaning that we can solve it in just 1 step.
This is the step:
Divide both sides by 33x=9
x=3
That's the answer; we can easily check it:
3*3=9
Hope everything is clear.
Let me know if you have any questions!
Always Remember: Knowledge Is Power!
What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units
The area of the considered triangle RST is given by: Option A: 9 sq. units.
How to find the area of a triangle?If we have:
Length of its base = b unitsIts height = h units long,Then we get:
Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
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please help i am confused
Answer:
The last answer.
Step-by-step explanation:
Regular means all the side lenghts are the same and all the interior angle measures are the same. Think a stop sign.
Irregular polygons have different side lengths and different interior angle measures.
You need to mark a fifth teen foot beam into five equal segments .how long is each segment ?
Answer: 3
Step-by-step:
15/5=3
Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
Since acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.
We can do this using the division operation as shown below:
15 ÷ 5 = 3
Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
More about the Algebra link is given below.
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Ariana started a savings account with $240. She deposits $30 into her account at the end of each month. She wants to know how many months it will take for her account to have a balance greater than $500.
Answer:
9 months
Step-by-step explanation:
$500 - $240 = $260
$260/$30 = 8.67(3s.f.) ≈ 9 months
Recheck:
Balance after 9 months = 240 + (30×9) = 240 + 270 = $510
∴ $510 > $500
Janelle says that lines l and m are skew lines.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
Is Janelle correct?
Yes, because the lines are not parallel.
Yes, because the lines will intersect.
No, because the lines are in the same plane.
No, because the lines are perpendicular.
Answer:
C: No, beacause the lines are in the same plane.
Step-by-step explanation:
because skewed lines must lie in different planes.
just trust moi <3
The lines are in the same plane option third "No, because the lines are in the same plane" is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines shown in the picture, line l, and line m.
As we know the skew lines are in different planes and do not intersect.
Thus, the lines are in the same plane option third "No, because the lines are in the same plane" is correct.
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Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
with one solution
Answer:
y = x
Step-by-step explanation:
Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.
Perhaps one of the simplest is ...
y = x
_____
Together with the given equation, this has the solution ...
x = y = 1/15
HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
y= -1/2x
Step-by-step explanation:
Option B passes through the origin, by -1/2x
what is the period of f(x)
Step-by-step explanation:
The period of f(x) is π.
To calculate the period using the formula derived from the basic sine and cosine equations. The period for function y = A sin (B a – c) and y = A cos ( B a – c ) is equal to 2πB radians. The reciprocal of the period of a function is equal to its frequency.
does 20, 40, 30 form a right triangle
Answer: No
Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.
20+30= 50
50>40
therefore 20,40,30 can not be a right triangle
Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)
To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)
Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]
-> These lengths do not form a right triangle.
It’s a 4 digit number. The tens are double the ones. The thousands are double the tens. The sum of the digit is 19
URGENT