Answer:
Step-by-step explanation:
(14/2)^2 = 7^2 = 49
the value of c is 49
Answer:
I think the answer is 49.Solve for x: z(14x−2y)=7 if z equals 0 Solve for x: z(14x−2y)=7 if z does not equal 0
Answer:
[tex]z = 0[/tex]; x doesn't have a solution[tex]z\neq 0[/tex]; [tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]Step-by-step explanation:
Given
[tex]z(14x -2y)=7[/tex]
Required;
Solve for x, when
[tex]z = 0[/tex][tex]z\neq 0[/tex][tex]z(14x -2y)=7[/tex]
Divide both sides by z
[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]
[tex]14x -2y = \frac{7}{z}[/tex]
Add 2y to both sides
[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]
[tex]14x = \frac{7}{z} + 2y[/tex]
Divide both sides by 14
[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
The above expression is the value of x when [tex]z\neq 0[/tex]
To solve for when z = 0, we simply substitute 0 for z
[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]
0 cant't divide any number; hence, from the above expression we conclude that
[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]
or
x doesn't have a solution
PLEASE HELP!!! Pleasee :C
Answer:
The error was in step 3
Step-by-step explanation:
The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total [tex]180^o[/tex] is also properly used.
In step 3. there is an error. Notice how it should have been done:
[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]
question 15: please help. I will give brainliest to correct answer.
Answer: its C
Step-by-step explanation:
Answer: Number 3 is the correct answer.
Step-by-step explanation:
What is the value of b in the equation
(у).
?
у24
—20
6
0 0 0 0
6
20
Answer:
y24
Step-by-step explanation:
thats what i think, sorry if im wrong have a nice day
Solve. x^2 + 3x - 7=0. Enter your answers, as exact values, in the boxes. X= or x=.
Answer:
Use the quadratic formula
x = [-b +- sqr root (b^2 - 4*a*c)] / 2a
x = [-3 +- sqr root (9 - 4*1*-7)] / 2
x = (-3 +- sqr root (37) / 2
x1 = 1.5414
x2 = -4.5414
Step-by-step explanation:
Answer:
I just took the test here's the answer
Step-by-step explanation:
Note: T is the midpoint of PO.
PT = 6x + 4 and TO = 52.
Answer:
x=8
Step-by-step explanation:
if T is the midpoint of PO then PT=TO
6x+4=52
-4 -4
6x = 48
:6 :6
x=8
Answer:
The length of PO would be 104 though. If PT=TO, then 6x+4=52. That means both lengths are 52. 52+52 is 104
2.) y = 3(1.2)*
a=
b=
exponential growth or exponential decay?
y-intercept
PLZ HELP NEDD IT RN!
The ____________ is the average distance of all the data values from the mean of the data.
quartile
interquartile range
mean absolute deviation
bias
Answer:
Your answer is mean absolute deviation.
Step-by-step explanation:
find the value of x
Answer:
62○
Step-by-step explanation:
To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)
Answer:
X = 62
Step-by-step explanation
To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.
118 + X = 180, OR 180 - 118 = x
X = 62
The tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.
How many outcomes result in a number greater than 1 on the spinner?
1
2
3
4
Answer:
The number of outcomes that will result of more than 1 on the spinner is 3/4The required number of outcomes is 4 and the last option is correct.
Important information:
Tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.Number of Outcomes:From the given tree diagram, it is clear that the total number of outcomes is 6.
The numbers greater than 1 on the spinner are 2 and 3.
The outcomes that result in a number greater than 1 on the spinner are:
heads, 2
heads, 3
tails, 2
tails, 3
Therefore, the required number of outcomes is 4 and the last option is correct.
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Cassandra is creating an animated short film, and she needs 35 frames per second of film. He already has at least 200 frames.
Which inequality represents this situation where f is the number of frames and s is the number of seconds in a film?
A) s ≥ 35f + 200
B) s ≥ 35f - 200
C) f ≥ 35s - 200
D) f ≥ 35s + 200
Answer: C) f ≥ 35s - 200
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
She needs 35 frames (f) per second (s) ( we have to multiply the number of frames by the number of seconds) f ≥ 35s
She has already 200 frames (since we already have, we can subtract that to the needed frames per second)
f ≥35s -200
Feel free to ask for more if needed or if you did not understand something.
Which expression is equivalent to
Isosceles triangles and exterior angles. Find x
Answer:
151°
Step-by-step explanation:
What is the value of x in the following equation? 5x - 6(x + 1) + 8 = 0 A. 14 B. 16 C. 1 D. 2
Answer:
x=2
Step-by-step explanation:
5x - 6(x + 1) + 8 = 0
Distribute
5x -6x-6+8 =0
Combine like terms
-x+2 = 0
Add x to each side
-x+2+x = 0+x
2 =x
i need the answer ;(
Answer:
x=100
Step-by-step explanation:
Because they are vertical angles, AEG=FEB
You can see that FED+DEB=FEB
Therefore, 80+20=FEB=100
Since FEB=100 and FEB=AEG
AEG=100
Answer:
100°
Step-by-step explanation:
In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.
ACE = 20°
FED = 80°
FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°
hope this helps, brainliest is appreciated.
What is the area of a circle with a diameter of 36 millimeters? mm square use 3.14 pi
Answer: 1018 sq. mm.
Step-by-step explanation:
Area = πr^2
= π x 18^2
= 324π
The required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
As per the question, we have
The diameter of the circle = 36 millimeters
The radius of the circle = diameter/2
The radius of the circle = 36/2 = 18 millimeters
The area of the circle = πr²
The area of the circle = π × 18²
The area of the circle = 3.14 × 324
The area of the circle = 1018
Thus, the required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.
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Multiply and write 2/5x6/7 or mixed number in simplest form
Answer: 12/35
Step-by-step explanation:
Whenever two numbers are separated by multiplication sign, the numerators will multiply one another, same also applies to the denomintor.
2/5 x 6/7 = (2x6) / (5x7) = 12 / 35
The simplest form of the given mixed number is 12 / 35.
It is required to convert the mixed number into simplest form.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
Whenever two numbers are separated by multiplication sign, the numerator will multiply with numerators same also applies to the denominator with denominator.
2/5 x 6/7
2 multiply with 6 and 5 multiply with 7 we get,
= (2x6) / (5x7)
= 12 / 35
Therefore, the simplest form of the given mixed number is 12 / 35.
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Factor completely 5x4 − 80.
5(x2 − 4)(x2 + 4)
5(x − 2)(x + 2)(x + 2)(x + 2)
5(x − 2)(x + 2)(x2 − 4)
5(x − 2)(x + 2)(x2 + 4)
Answer:
[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]
Step-by-step explanation:
The expression given is:
[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]
Difference of two squares:
[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]
The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.
Given :
[tex]f(x) = 5x^4-80[/tex]
The following steps can be used in order to determine the factors of the given function:
Step 1 - Write the given function.
[tex]f(x) = 5x^4-80[/tex]
Step 2 - Take out 5 as common in the above function.
[tex]f(x) = 5(x^4-16)[/tex]
Step 3 - Now, try to factorize the above function.
[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]
From the above steps, it can be concluded that the correct option is B).
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2. A 13-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 12 feet up on the side of the house.
(a) What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree. Show your work.
(b) The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is . The same 13-foot long ladder is placed against the building according to OSHA’s safety standard.
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.
Answer:
a) 67.4°
b) 5.0 ft
Step-by-step explanation:
Now we have to use the trigonometric ratios to obtain the angle between the ladder and the level ground. Remember that the problem is a right angled triangle problem.
Let the hypotenuse of the triangle (length of the ladder) be c = 13 ft
Let the distance between the ladder and the ground be a
Let the height from the ground to the top of the ladder be b =12 ft
From;
Sinθ= opposite/hypotenuse
Sinθ= 12/13
Sinθ= 0.9231
θ=Sin^-1(0.9231)
θ= 67.4°
b) distance between the ladder and the foot of the building is obtained from
Cosθ= adjacent/hypotenuse
Adjacent= unknown
Hypotenuse= 13ft
θ= 67.4°
Cos(67.4°) = adjacent/13
Adjacent= cos (67.4°) ×13
Adjacent= 5.0 ft
Answer:
a. x ≈ 67°(nearest degree)
b. distance = 5. 1 ft (nearest tenth)
Step-by-step explanation:
A 13 ft ladder is placed on level ground leans against the side of a house . The ladder reaches a point that is 12 ft up the side of the house. The illustration forms a right angle triangle.
a. The right angle triangle formed has it opposite sides as 12 ft and it hypotenuse side as 13 ft. The angle formed between the ladder and the floor can be solved using sine ratio. Therefore,
let
x = angle
sin x = opposite/hypotenuse
sin x = 12/13
sin x = 0.92307692307
x = sin ⁻¹ 0.92307692307
x = 67.3801350509
x ≈ 67°(nearest degree)
b. If the same 13 ft ladder is placed against the building using the same angle formed .
The distance between the the foot of the ladder and the foot of the building is the adjacent side of the triangle. Therefore, using the angle formed.
cos 67° = adjacent/hypotenuse
cos 67° = adjacent/13
cross multiply
adjacent = 13 cos 67°
adjacent = 13 × 0.39073112848
adjacent = 5.07950467036
distance = 5. 1 ft(nearest tenth)
Solve 27 = 3^4x + 1? a) 1/4 b)1/2 c)2 d)4
Answer:
[tex]x=1/2[/tex]
Step-by-step explanation:
[tex]27 = 3^{4x+1}[/tex]
[tex]3^3 = 3^{4x+1}[/tex]
[tex]3=4x+1[/tex]
[tex]2=4x[/tex]
[tex]2/4=x[/tex]
The value of x in the given equation is 1/2
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, [tex]27 = 3^{4x+1}[/tex]
Solving for x,
3³ = [tex]3^{4x+1}[/tex]
Therefore,
3 = 4x+1
4x = 2
x = 2/4
x = 1/2
Hence, the value of x in the given equation is 1/2
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Using the attached image, match the vertical angles.
Answer:
Step-by-step explanation:
1) ∠AED = ∠ BEC
2) ∠AEB = ∠DEC
3) ∠DEC = ∠AEB
4) ∠CEB = ∠AED
The length of the side of a square is 4.89cm. Round to 1 significant figure
first before finding the estimated area. (Area NOT Perimeter) *
Answer:
Area = 25cm²
Step-by-step explanation:
Given
Length of a square = 4.89cm
Required
Estimate the area of the square
The question says that the length of the side of the square be approximated to 1 significant figure.
When 4.89cm is approximated, it gives 5cm.
At this point, the area of the square can be estimated.
Area = Length * Length
Area = 5cm * 5cm
Area = 25cm²
Hence, the estimated area of the square is 25cm²
Find the length of the missing side of the triangle shown below. Round to the nearest tenth, if necessary.
Answer:
x=8in
Step-by-step explanation:
Let the unknown side=xin
Hypotenuse^2=opposite^2+adjacent^2
Hyp=17in
Opp=xin
Adj=15in
Hyp^2=opp^2+adj^2
17^2=x^2+15^2
17^2-15^2=x^2
289-225=x^2
64=x^2
x=√64
x=8in
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Answer:
1/4
Step-by-step explanation:
# of black marbles/ total # of marbles
3/(3+4+5)
3/12
1/4
Answer:
1/4
Step-by-step explanation:
3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles
P(black) = number of black / total
=3/12
=1/4
x-(-5) = -23
X=
Answer here
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]x+5=-23\\x=-23-5\\x=-28[/tex]
Answer:
x = -28
Step-by-step explanation:
x-(-5) = -23
Subtracting a negative is adding
x+5 = -23
Subtract 5 from each side
x+5-5 = -23-5
x = -28
Which has a value closest to 9?
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
√81 = 9
So, √83 will be closest to 9
A car is accelerated from rest to a velocity of 25 m/s in 6.0 seconds. What is its average
acceleration?
Answer:
[tex]Initial- Velocity = 0\\Final- velocity = 25m/s\\Time = 6.0\\Acceleration = \frac{Final-velocity-initial-velocity}{time} \\Acceleration = \frac{25-0}{6} \\Acceleration = \frac{25}{6} \\Acceleration = 4.167[/tex]
Step-by-step explanation:
which pairs of rectangles are similar polygons?
pls help me
Answer:
3.√
4.√
Step-by-step explanation:
similar rectangles have proportional sides so compare corresponding sides to check
1. 169/1.3 = 49/0.7 → 130 ≠70 no
2. 18.55/5.3 = 10.5/3.5 → 3.5 ≠ 3 no
3. 120/24 = 60/12 → 5 = 5 yes
4. 189/2.1 = 81/0.9 → 90 = 90 yes
Find the area of the polygon shown in the figure.
Answer:
16
Step-by-step explanation:
Triangle area = (1/2)*b*h
Base = b = 4
Height = h = 8
Area = (1/2) * 4 * 8 = 16
The area of the polygon shown in the figure is 16 unit square.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
WE can see from the given figure;
The Base = b = 4
The Height = h = 8
The Area of figure = (1/2) * 4 * 8
The Area of figure = 16
Hence, the area of the polygon shown in the figure is 16 unit square.
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1/2 ху if x = 8, y = 3
Answer:
12
Step-by-step explanation:
We just plug in 8 for x and 3 for y which gives us 1/2 * 8 * 3 = 12.
Answer:
12
Step-by-step explanation:
1/2(8)(3)
4(3)
12