[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]
Convert mixed fraction into simple fraction form[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]
[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].
[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150
Answer:
Price elasticity of demand = 1
Step-by-step explanation:
Old quantity demanded = 200
New quantity demanded = 150
Old price = 8
New price = 10
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in quantity demanded = change in quantity demand / old demand × 100
= 50/200 × 100
= 0.25 × 100
= 25%
percentage change in price = change in price / old price × 100
= 2/8 × 100
= 0.25 × 100
= 25%
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
= 25% / 25%
= 1
Price elasticity of demand = 1
Determine the value of y, if x is -5.
y = |x| – 6
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8
Answer:
Hello,
Step-by-step explanation:
all potential roots are of the form a/b where a is a divisor of 8
and b is a divisor of 6 ( in Z)
So A,D,E,F may be roots
but B and C not.
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15
Answer:
the fourth option : 5x - 3y = 15
Step-by-step explanation:
the slope of the original line is given by the coordinate differences between the 2 points on the line.
remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.
so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.
therefore, the slope is -3/5.
the slope of a perpendicular line simply switched x and y. and the sign of the slope.
therefore the slope of the perpendicular line is 5/3.
and the line equation is
y = (5/3)x + c
to get c we need the point on the line (3, 0).
0 = (5/3)×3 + c = 5 + c
c = -5
y = (5/3)x - 5
3y = 5x - 15
3y - 5x = -15 or (after multiplying both sides by -1)
5x - 3y = 15
Find an explicit rule for the nth term of the arithmetic sequence.
-9, -4, 1, 6, ...
Answer:
hope it's helpful
Step-by-step explanation:
glad to help
evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)
Answer:
a). 7
b). -17
c). -2
Step-by-step explanation:
You have to substitute the given x value into the equation.
a). f(3)= 3(3)-2
=9-2
=7
A square has a perimeter of 4 cm. What is the length of each side?
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus
Answer: The answer is Neptune ^-^
Step-by-step explanation:
Got it correct on the test :]
what percent of 65 gives you 33
Answer:
50.8%
Step-by-step explanation:
Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%
Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
evaluate 7-3s for s= -3
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
Find the measure of the indicated angle to the nearest degree.
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
Find an equation of the line through the given points right the answer and slope intercept form
Answer:
equation is y = 2-x
Step-by-step explanation:
x1 = -3
y1 = 5
x2 = 4
y2 = -2
now
m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1
so m = -1
now
y =mx + b
-2 = -1×4 + b
or, -2 = -4 +b
so, b = 2
now
y = mx+b
y = -1x + 2
or, y = 2-x
Tommy stands on a diving bored that is 4 feet above the pool’s surface. He dives and touches the bottom of the pool, which is 12 feet below the pool’s surface. What is the total length of Tommy’s dive?
Answer:t below the pool’s surface. What is the total length of Tommy’s dive?
7 feet
Step-by-step explanation:
HELPPPPPPPP MEEEEE PLEASEEEE
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
Find the missing length indicated.
Answer:
Does the answer help you?
Order each set of numbers from least to greatest
1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex]
Answer:
41/3, 14, square root of 200
Step-by-step explanation:
41/3 = 13.66
14 is just 14
and square root of 200 is 14.14
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
The difference of two numbers is 12. If the greater number is three times the smaller one, find the numbers.
Answer:
Let the two numbers be X
The great number is X and the smaller number is 3X
X=3X
X-3X=12
-2X=12
X=12/-2
X=-6
The other number =3*6=18
2 numbers to find are a and b
We have: a - b = 12; a = 3b
=> a = 18; b = 6
what is 5cd
when c = 3
and d = 4
Answer:
60
Step-by-step explanation:
5*3*4
if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?
Answer:
It's going to take you 17 min to travel 12 miles
assuming you are going with mph
Step-by-step explanation:
I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
