Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
To learn more about equilateral triangle click :
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[tex]solve : - \\ \\ (19 {}^{2} + 21 {}^{2} ) = {?}[/tex]
[tex] \sf Q) \: 19^{2} + 21^{2} = {?}[/tex]
[tex] \sf \to 19^{2} + 21^{2} [/tex]
[tex] \sf \to 361 + 441[/tex]
[tex] \sf \to 802[/tex] is the solution.
Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
does anyone understand this? will give Brainly for correct answer
Answer:
[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]
Step-by-step explanation:
Evaluate: a+b+a+a , where a=−5 and b=−5
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
Sierra king is a nail technician she allows 20 minutes for a manicure and 45 for a pedicure in her 7 hour work day no more than 5 pedicures can be scheduled each day the prices are $18 for a Medicare and $45 for a pedicure how many manicures and pedicures should ms.king schedule to maximize her daily income? what is her maximum daily income?
Answer: the income is 369$
Step-by-step explanation:
Can someone help I don’t know how to do this
Answer:
slope is zero
Step-by-step explanation:
This is a horizontal line parallel to the x- axis
Since the slope of the x- axis is zero then the slope of the line is zero
Answer:
its slope is zero
Step-by-step explanation:
the slope of a line is simply the ratio between y- and x-change from one point of the line to another.
you can express it as y/x.
e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).
now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.
so, 0 change in y.
and the slope is 0/"delta x" for "delta x">0
all that means the slope is 0, as 0 divided by anything is always 0.
the function for that line is therefore
y = 0×x + 2.5 or simply
y = 2.5
and the factor of x (in this case 0) is always the slope of the line.
5/9 of a piece of metal has a mass of 7kg. what is the mass of 2/7 of the piece of metal
5/9 of mass of metalx=7kg
5/9*mass ofmetal x=7kg
divide both sides by 5/9
value of mass metalx=63/5
2/7 of mass metalx=?kg
2/7*63/5=126/35kg=3.6kg
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
If
5
3 cosα = in the first quadrant, what does cot α
equal?
Answer:
5/4
Step-by-step explanation:
To Find :-
cot a .Solution :-
By question ,
=> cos a = 5/3 = b/h
=> p = √ 5² - 3² = √ 25 -9 = 4
Therefore ,
=> cot a = b/p = 5/4
An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye movement) when recognizing a speckle pattern on a high-resolution CRT screen. The data are as follows: 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, and 50.06. Calculate the sample mean and sample standard deviation.
Answer:
Mean = 43.969
Standard deviation = 12.341
Step-by-step explanation:
Given the data :
36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06
The sample mean :
Σx / n = 351.75 / 8 = 43.969
Sample standard deviation :
√Σ(x - mean)²/n-1
√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)
Standard deviation = 12.341
Evaluate the expression -4 ( n - 6) + m when n = -5 and m = 2? Show your steps
Answer: -42
Step-by-step explanation:
-4(n-6)+m
and then they give you the values of each
basically what you do is put the value of m into where it shows on the equation as well as the n.
-4(-5-6)+2 and then you should get
-42
I need help please!!!
Answer:
Isosceles triangle
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horizontal distance from the window at the moment it strikes the ground.
a. 0.96825
b. Can't be found
c. 77.46
d. 6.33
e. 212.23
Answer:
Step-by-step explanation:
In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:
a = -32 ft/s/s
v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)
Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)
t = ?? sec.
The equation we will use is the one for displacement:
Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:
[tex]-15=(0)t+\frac{1}{2}(-32)t^2[/tex] which simplifies down to
[tex]-15=-16t^2[/tex] so
[tex]t=\sqrt{\frac{-15}{-16} }[/tex] so
t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)
Now we use that time in the x-dimension. Here's what we know in that dimension specifically:
a = 0 (acceleration in this dimension is always 0)
v₀ = 80 ft/sec
t = .968 sec
Δx = ?? feet
We use the equation for displacement again, and filling in what we know in this dimension:
Δx = [tex](80)(.968) +(0)(.968)^2[/tex] and of course the portion of that after the plus sign goes to 0, leaving us with simply:
Δx = (80)(.968)
Δx = 77.46 feet
the solution of the quadratic equation x square - 4 x + 4
Answer:
[tex]\rm x = 2 , 2 [/tex]
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
[tex]\implies x^2 -4x + 4 = 0 [/tex]
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2
solve the problems. write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it
Answer:
[tex]m \angle A = m \angle C[/tex] by reason [tex]\overline{AB} \cong \overline{BC}[/tex] and [tex]m \angle B = m \angle M = m \angle P[/tex].
[tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem
Step-by-step explanation:
We proceed to demonstrate the statement by Geometric means:
1) [tex]\overline{AB} \cong \overline{BC}[/tex], [tex]\overline {AM} \cong \overline {PC}[/tex], [tex]m\angle AMO = m\angle CPO[/tex] Given.
2) [tex]\frac{AM}{AB} = \frac{PC}{BC}[/tex] Proportionality.
3) [tex]\frac{AM}{AM + MB} = \frac{PC}{BP + PC}[/tex] Definition of line segments.
4) [tex]\frac{1}{1+\frac{MB}{AM} } = \frac{1}{\frac{BP}{PC}+1}[/tex] Algebra.
5) [tex]\frac{BP}{PC} + 1 = 1 +\frac{MB}{AM}[/tex] Algebra.
6) [tex]\frac{BP}{PC} = \frac{MB}{AM}[/tex] Algebra.
7) [tex]BP = BM[/tex] By 1)
8) [tex]m \angle B = m \angle M = m \angle P[/tex] By 1), 7)
9) [tex]\triangle AMO \sim \triangle ABC[/tex], [tex]\triangle CPO \sim \triangle ABC[/tex] By 1), 7), 8). Defintion of simmilarity.
10) [tex]\frac{AM}{MO} = \frac{AB}{BC}[/tex], [tex]\frac{PO}{PC} = \frac{AB}{BC}[/tex] Definition of proportionality.
11) [tex]\frac{AM}{MO} = \frac{PO}{PC}[/tex] Algebra.
12) [tex]AM^{2} = PO\cdot MO[/tex] Algebra.
13) [tex]PO = MO[/tex] By 12) and Algebra.
14) [tex]\overline{PO} \cong \overline{MO}[/tex] By 13).
15) [tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem/Result.
How do I answer 3 and 4
Answer:
yo have to think very hard about it
sorry, I don't have an answer but I do want to know myself
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.
Whats the mean, modian, mode, and range, of these five?
6) 35, 74, 76, 93, 84, 22
Mean=
Median=
Mode=
Range=
7) 72, 55, 11, 55, 42, 25, 79, 69
Mean=
Median=
Mode=
Range=
8) 93, 15, 11, 58, 94, 87, 73, 16, 21
Mean=
Median=
Mode=
Range=
9) 17, 45, 12, 74, 89, 57
Mean=
Median=
Mode=
Range=
10) 52, 35, 55, 23, 30
Mean=
Median=
Mode=
Range=
Answer:
Step-by-step explanation:
mean:64
median: (74+76)/2=75
mode: no mode
Range: 71
#2
mean:51
median:(55+55)/2=55
mode:55
Range; 68
Answer:
6)
Mean = 35+ 74+ 76+ 93+ 84+ 22 = 384
mean = total amount/total numbers
384/6 = 64
Median = 76 + 93/2 = 169/2 = 84.5
Mode = there is no mode (there are no numbers repeated)
Range = (biggest - smallest) = 93 - 22 = 71.
7)
Mean = total amount/total numbers
72+ 55 +11+ 55 + 42 + 25 + 79 + 69 = 408/8 = 51
Median = 55 + 42/2 = 97/2 = 48.5
Mode = 55
Range = 79 - 25 = 54
8) Mean = 93 + 15 + 11+ 58+ 94+ 87 + 73+ 16+ 21 = 468/9 = 52
Median = 94
Mode = nothing
Range = 93 - 11 = 82
9)
Mean = 17+45+ 12+ 74+ 89 + 57 = 294/6 = 49
Median = 12 + 74/2 = 43
Mode = nothing
Range = 89 - 12 = 77
10)
Mean = 52+ 35+ 55+ 23+ 30 = 195/5 = 39
Median = 55
Mode = nothing
Range = 55 - 23 = 32
Step-by-step explanation:
I rlly hope this helped i took soooo long(sry for that btw)
For some integer m, every odd integer is of the form a) m b) m + 1 c) 2m d) 2m + 1
Answer:
d) 2m+1
Step-by-step explanation:
for example:
m be 2 then. 2×2+1=5
m be 3 then. 2×3+1=7
Create an entertaining presentation of your choice that will help students
remember how to add and subtract integers.
Answer:
maybe you can give them a simple example.
use what they are interested for.
for example if he or she love playing basketball.
you can draw three white ball, if other give you two ball, you can draw two balls. instead, if other want to borrow four balls from you, then you can draw four balls to black and count the left balls.
hope it can help you!!
Step-by-step explanation:
Would appreciate I’m so far behind :/
Answer:
C
Step-by-step explanation:
Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here the graph has been shifted 2 units to the right , then
f(x) = (x - 2)²
Given the graph of f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the graph has ben shifted 4 units up
Thus
f(x) = (x - 2)² + 4 → C
What is the value of x? Show work.
Answer:
x=5
Step-by-step explanation:
This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:
12+40=2(8x+10)
12+40=16x+20
20=4x
x=5
Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x [tex](x- E(x))^{2}[/tex] [tex](x-E(x))^{2} *p(x)[/tex]
0 [tex](0-0.9)^{2}[/tex] [tex](0-0.9)^{2} *0.15[/tex] =0.1215
1 [tex](1-0.9)^{2}[/tex] [tex](1-0.9)^{2} *0.8[/tex] =0.008
2 [tex](2-0.9)^{2}[/tex] [tex](2-0.9)^{2} *0.05[/tex] =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?
Answer: 20%
Step-by-step explanation:
Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.
Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.
Solve the equation and enter the value of x below. -1(4 + x) = 6
-1 (4 + x) = 6
=> 4 + x = 6/-1
=> 4 + x = -6
=> x = -6 -4
=> x = -10
what is the average number of students who like cookies, chips, and crackers?
Cookies=10
Chips=3
Crackers=2
Answer:
m = 15/3 = 5 is the mean
Step-by-step explanation:
Answer:
5 Students But divide by 15/3 to 5
Step-by-step explanation:
What does Average mean?
1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
So, to find the answer just ADD 10 + 2 + 3 = ?
10 + 2 = 12 So put that to the side for now.
Now, 10 + 2 = 12 + 3 = 15
So the total number of students who like cookies, chips, and crackers are 15.
Now do 15/3 to get 5.
Suppose that partners equally share the profits from a sale of $3,800. Which algebraic expression represents this
situation?
0360040
0 3600-
36000
3800 -
р
HURRRYY IM ALMOST OUT OF TIME SMB HELP!
Answer:
3600 / p
Step-by-step explanation:
The partners share the company equally so it would be 3600 / p because each person would get an equal share.
If there were 2 partners, each would get 1800.
If there were 4 partners each would get 900.
It makes it so each partner gets and equal amount with this equation
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
Answer:
Subtraction property ; x = 3.25
Division property ; - 6
multiplication property ; - 125
Addition property ; 13
Step-by-step explanation:
A.)
x + 3.75 = 7
Using the subtraction property : subtract 3.75 from both sides
x + 3.75 - 3.75 = 7 - 3.75
x = 3.25
B. )
–3b = 18
According to the division property :
Divide both sides by - 3
-3b / - 3 = 18 / - 3
b = - 6
C.)
m/5 = - 25
Using the multiplication property :
m/5 * 5 = - 25 * 5
m = - 125
D.)
m – 4 = 9
Using the addition property :
Add 4 to both sides :
m - 4 + 4 = 9 + 4
m = 13
Answer:
A. Subtraction property ; x = 3.25
B. Division property ; - 6
C. multiplication property ; - 125
D. Addition property ; 13
Step-by-step explanation:
Does the point (0, 37) satisfy the equation y = 79x - -37? yes no
Answer:
yes
Step-by-step explanation:
y = 79x - -37
37 = 79(0) - - 37
37 = 0 - - 37
37 = 37
