x = 9/-5
[tex] \frac{ - 2}{9} x = \frac{2}{5} \\ \div \frac{ - 2}{9} \div \frac{ - 2}{9} \\ x = \frac{2}{5} \div \frac{ - 2}{9} \\ x = \frac{2}{5} \times \frac{9}{ - 2} \\ x = \frac{18}{ - 10} \\ x = \frac{9}{ - 5} [/tex]
1. The exact value of cos60
is
A) 3
3 B) 2
3 C) 2
2 D) 2
1 E) none of the above
If im painting 4 boards and it takes me 7 minuts to paint each board how long would take me to finish 4 more boards
Answer:
14
Step-by-step explanation:
4 boards=7 minutes
7x2=14
4b+4b=8b
7m+7m=14m
b=boards m=minutes
Answer:
If you are calculating the answer for the first 4 boards, then the answer is 28 minutes. If you are saying the first 4 plus the next 4, it is 56 minutes.
Step-by-step explanation:
4 times 7 is 28, 28 times 2 is 56.
A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
Yuan reads 10 books from the library each month for x months in a row. Write an expression to show
how many books Yuan read in all. Then, find the number of books Yuan read if he read for 2 months.
Answer:
10x
20
Step-by-step explanation:
expression
10x
for x = 2
10 (2)
20
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
I need help with the solutions for 19,20,21 thank you
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]please help with this
Answer:
5.5 or simply 6
Step-by-step explanation:
6 = 33
1 = x
6x = 33
x = 5.5 ~6
Can someone do these questions 1-3 please i have an F in math now :/
Three less than two times a number is 55. What is the number?
Answer:26
Step-by-step explanation:
Is quadrilateral UVWX a parallelogram? Why or why not?
A)
There isn't enough information.
B)
Yes, because adjacent sides aren't perpendicular.
C)
No, because opposite sides aren't congruent.
D)
Yes, because opposite sides are parallel.
Answer:
D) Yes, because opposite sides are parallel.
Step-by-step explanation:
Find the equation of the circle with center at (
1, 4) and passes through the point (1, 4).
Answer:
desmos
Step-by-step explanation:
1 2 3 4
The set of life spans of an appliance is normally distributed with a mean y = 48 months and a standard deviation or
8 months. What is the z-score of an appliance that stopped working at 64 months?
Answer:
The set of life spans of an appliance is normally distributed with a mean µ= 48 months and a standard deviation σ= 8 months. ... Thanh finds that his grade on the test has a z-score of -2.5. ... are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668.
Step-by-step explanation:
=============================================================
Explanation:
The raw score is x = 64, and we want to find its corresponding z score.
The mean and standard deviation are mu = 48 and sigma = 8 respectively.
The z score is...
z = (x-mu)/sigma
z = (64-48)/8
z = 16/8
z = 2
A z score of 2 means we're 2 standard deviations above the mean.
As the formula above implies, we find the difference from the raw score (x) to the mean (mu). Then we divide over sigma to find out how many sigma steps we have to take to go from mu to x.
A negative z score would indicate the raw score is below the mean.
guys help me
can u give me the answer
Answer:
A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.
please help me!! its due at 8pm
Answer:
1. 1,538.60 cm³
2. 314.00 m³
Step-by-step explanation:
1. Given:
Diameter = 14 cm
Radius (r) = ½(14) = 7 cm
height (h) = 10 cm
π = 3.14
Volume of cylinder = πr²h
Plug in the values
V = 3.14*7²*10
V = 1,538.60 cm³
2. Given:
Radius (r) = 5 m
Height (h) = √(13² - 5²) = √144 = 12 m
π = 3.14
Volume of cone = ⅓πr²h
Plug in the values
V = ⅓*3.14*5²*12
V = 314.00 m³
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xMr. Davis drives 508 miles in eight hours. At this rate, how many miles
does he drive in six hours?
Answer:
he drives 254 miles in 6 hours
Step-by-step explanation:
Answer:
254 miles in 6 hours
Step-by-step explanation:
what is the slope of the line given by the equation y= -5x?
Answer:
-5
Step-by-step explanation:
[tex]y=-5x[/tex]
The equation given is in slope intercept form.
A slope-intercept equation that passes through the origin would not have the '+ b' part because there is no intercept.
[tex]y=-5x+0[/tex]
When there is no intercept we would not write the '+ 0'.
The slope given is -5.
Hope this helps.
What is the measure of angle LMQ
Answer:
Option B, 42°
Hope this helps!
The measure of ∠LMQ = 42°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
In the ΔQMR,
The sum of all the angles is 180°.
65° + 45° + ∠RMQ = 180°
∠RMQ = 70°
In the ΔMNL,
The sum of all the angles is 180°.
65° + 45° + ∠LMN = 180°
∠LMN = 68°
That means,
measure of angle LMQ = 180° - ∠LMN - ∠RMQ
∠LMQ = 180° - 138°
∠LMQ = 42°
Therefore, ∠LMQ = 42°.
To learn more about the angle measure;
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I need help solving the picture below please
Answer:
x = 3
Step-by-step explanation:
From the given parallelogram;
m<XWC = m<XYC
Given
m<XWC = 2x+5
m<XYC = 3x+2
Equate
2x+5 = 3x+2
2x - 3x = 2 - 5
-x = -3
x = 3
Hence the value of x is 3
Let g be the function given by g(x) = 3 − x x + 5 .
Find and simplify g(2) − 1 g(−3)
.A) − 1 21
.B) − 2 21.
C)− 4 21
.D)− 8 21
Answer:C) -4/21
Step-by-step explanation:
Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.
Provide your answer below:
Answer:
162 hours
Step-by-step explanation:
1 day= 24 hours
24 times 6= 144
144 + 18= 162
[tex] \huge \mathtt \green{Question}[/tex]
Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.
[tex] \huge \mathtt \green {Answer}[/tex]
We know that 1 day = 24 hr.
So, 6 days = 24 × 6
= 144
So, 6 days 18 hr = 162 hr
If the angle is 105, what is the supplementary angle? ANSWER QUICKLY PLS
Which choices are equivalent to the exponential expression below? Check all
that apply
Oh
A.
52
O B.
O C. 2:
D.
9
25
E.
9
F.
6
10
Answer:
a b and d
Step-by-step explanation:
I did it on edge and got it right
A researcher investigates if chocolate affects mood. She recruits college students to take a mood inventory, ingest a quarter pound of chocolate and then complete the mood inventory again. Given the following confidence interval [2.34, 5.41], make a decision about the hypotheses.
And explain why?
A) Reject the null hypothesis and conclude that chocolate affected mood because zero, or no effect, does not fall within the confidence interval.
B) Reject the null hypothesis and conclude chocolate lowers affect because the confidence interval includes small numbers.
C) Fail to reject the null hypothesis because the confidence interval is positive.
D) Fail to reject the null hypothesis and conclude the effect size is small for this study.
Answer:
A) Reject the null hypothesis and conclude that chocolate affected mood because zero, or no effect, does not fall within the confidence interval
Step-by-step explanation:
The confidence interval could be used as a tool to test an hypothesis on a some certain conditions. When we obtain a confidence interval whose range includes the value 0, we would fail to reject the null hypothesis of such analysis as this upholds the truth of the null hypothesis. However, if the interval does not contain the value 0, we reject the null and claim that there is significant evidence to accept the alternative hypothesis.
Hence, for the confidence interval given [2.34, 5.41], the interval does not contain the value 0, Hence, we reject the null.
help me solve this problem from kahn academy
Answer:
150
Step-by-step explanation:
Angle A= angle b
8x-10=3x+90
5x=100
x=20
Angle B=150
Answer:
150
Step-by-step explanation:
i hope this helps sorry if not m wrong
x2+5x-36
What is the simplest form of
?
x² - 16
X+9
X+4.
OT
X+9
X-4
9
4
Answer:
45
Step-by-step explanation:
58928
489472
74737383737372
9
Is the function shown in the
graph one-to-one?
Yes, there exists one
input for every output.
No, there exists
more than one output for at
least one input.
• No, there exists
more than
one input for at least one
output.
Yes, there exists one output for
every input.
Answer: Choice D
Yes, there exists one output for every input.
=======================================================
Explanation:
x = input
y = output
For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.
Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.
What the supplement of 106 degrees? *
Answer:
74
Step-by-step explanation:
Supplement means whatever number added up to 180
For example:
60 and 120 are supplements since they add up to 180
Answer:
180
- 106
---------
74
Enter the coordinates of the point
on the unit circle at the given angle.
225°
[?]
2
(-
-
2.
its both 2
Step-by-step explanation:
base on my research
The coordinates of the point on the unit circle at angle 225° are [tex]\bold{(-\frac{\sqrt{2} }{2}, -\frac{\sqrt{2} }{2})}[/tex]
What are the coordinates of the point on the circle?The coordinates of the points of the circle x² + y² = r² are [tex](r~cos\theta, r~sin\theta)[/tex]
What is unit circle?"It is a circle with radius 1."
For given example,
We have been given an angle of 225°
⇒ [tex]\theta[/tex] = 225°
We need to find the coordinates of the point on the unit circle at an angle 225°.
Here, r = 1
So, the first coordinate would be,
[tex]r~cos\theta=(1)~cos(225^{\circ})\\\\\Rightarrow r~cos(225^{\circ})=cos(270^{\circ} - 45^{\circ})\\\\\Rightarrow r~cos(225^{\circ})t=cos(270^{\circ}) cos(45^{\circ})+sin(270^{\circ}) sin(45^{\circ})\\\\\Rightarrow r~cos(225^{\circ})=0+(-1)(\frac{1}{\sqrt{2} } )\\\\\Rightarrow r~cos(225^{\circ})=\bold{\frac{-1}{\sqrt{2} }}\\\\\Rightarrow r~cos(225^{\circ})=\bold{-\frac{\sqrt{2} }{2} }[/tex]
Now we find the second coordinate of the point.
[tex]r~sin\theta=(1)~sin(225^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=sin(270^{\circ} - 45^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=sin(270^{\circ}) cos(45^{\circ})-cos(270^{\circ}) sin(45^{\circ})\\\\\Rightarrow r~sin(225^{\circ})=(-1)(\frac{1}{\sqrt{2} } )-0\\\\\Rightarrow r~sin(225^{\circ})=\bold{\frac{-1}{\sqrt{2} }}\\\\\Rightarrow r~sin(225^{\circ})=\bold{-\frac{\sqrt{2} }{2} }[/tex]
Therefore, the coordinates of the point on the unit circle are [tex](-\frac{\sqrt{2} }{2}, -\frac{\sqrt{2} }{2})[/tex]
Learn more about coordinates of point on the circle here:
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When using a general linear programming optimization model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true? There are typically 12 decision variables and 7 constraints. There are typically 4 decision variables and 3 constraints. There are typically 12 decision variables and 12 constraints. There are typically 7 decision variables and 7 constraints.
Answer:
There are typically 12 decision variables and 7 constraints. ( option A )
Step-by-step explanation:
Given that there are 4 sources and 3 destinations The true statement is :
There are typically 12 decision variables and 7 constraints.
Because : In general linear programming optimization
number of decision variables in transportation = destination * source
= 3 * 4 = 12 variables
number of constraints = destination + sources = 3 + 4 = 7 constraints
