Answer:
30
Step-by-step explanation:
AC = AB + BC
48 = 2x + 2 + 3x + 6
48 = 5x + 8
48 - 8 = 5x
40 = 5x
40/5 = x
8 = x
Finding BC
BC = 3x + 6
BC = 3(8) + 6
BC = 24 + 6
BC = 30
#2
Coordinate = -3 + 8 = 5
Answer:
BC = 305Step-by-step explanation:
We know that adding AB and BC will give us AC so we can create an equation and solve for x.
2x + 2 + 3x + 6 = 48
~Combine like terms
5x + 8 = 48
~Subtract 8 to both sides
5x = 40
~Divide 5 to both sides
x = 8
Now that we know the value of x, we can solve for BC.
= 3(8) + 6
= 24 + 6
= 30
I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.
-3 + 8 = 5
Best of Luck!
I don’t know how to do this. Can someone help?
Answer:
x1=8
x2=1/5
Step-by-step explanation:
If there are 100 students in your class and everybody flips a coin five times, how many people are likely to get five heads in a row?
This is with the assumption that every time you flip a coin, the chance that heads will end up on top is 1 in 2.
Will award brainiest, thank you!
If you flip a coin once, you have a 1/2 chance of getting heads. You will get either a head or tail.
Flipping a coin twice gives you a 1/4 chance of getting 2 heads since you will either get a 2 heads, 2 tails, a tail then head, or a head then tails.
From this we can see its pretty likely the pattern will continue if our chances of continually getting a head keeps halfing. So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin.
So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.
Here we have a probability problem.
We will find that the expected number of students that gets 5 heads in a row is 3.
First, we need to find the probability of getting 5 heads in a row.
We assume that the probability of getting heads in a flip is p = 1/2 = 0.5
Then for getting heads 5 times in a row, the joint probability will be the product of the individual probabilities, we get:
[tex]P = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = (0.5)^5 = 0.03125[/tex]
Now if we have N persons, such that all of them flip a coin 5 times, the expected number of people that will get 5 heads in a row will be equal to the total number of people times the probability of getting 5 heads in a row.
N*P
So if in the class there are 100 students, we have N = 100
The expected number of students that will get 5 heads in a row is:
[tex]100*P = 100*0.03125 = 3.125[/tex]
Because we can have a 0.125 of a student, we need to round this to the nearest whole number, which is 3.
So we should expect that 3 students will get 5 heads in a row.
If you want to learn more, you can read:
https://brainly.com/question/17089724
Carla has 4 packages of socks, and Jenna has 1 package of socks. Each package has 6 pairs of socks. Carla found the total number of pairs of socks by adding (6 times 4) + (6 times 1). Jenna used a different method but got the same answer. Which strategy did Jenna use?
A. 6 + 4 + 1
B. 6 times 4 + 1
C. (6 times 1) + 4
D. 6 times (4 + 1)
Pls someone help I’ll give Brainly points
Answer:
These triangles are simliar because they're all scalene.
Step-by-step explanation:
The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.
The triangle BCD is also an acute triangle and scalene.
The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.
POD M1.11
CE
TO-
What equation would you
write to represent 8 group
of 3? What equation would
you write to represent 80
groups of 3? Write your
equations and then create a
visual representation for
each using place value
blocks.
2 3/8 as a mixed number
Answer:
19/18
Step-by-step explanation:
The mixed number 2 3/8 can be changed into the improper fraction 19/8.
for each function, what is the output of the given input?
For f(x) = -5x +1, find f(3).
a. -16
b. -14
c. -2
d. 16
Answer:
b. -14
Step-by-step explanation:
x is now 3
so -5(3)+1 = -14
[tex]\frac{w-8}{-3} =-9[/tex] show your work please
Answer:
[tex] \frac{w -8 }{ - 3} = - 9 \\ w - 8= - 9 \times - 3 \\ w - 8 = 27 \\ w = 27 + 8 \\ w = 35 \\ thank \: you[/tex]
When you round a number, what should you do with
the digits to the right of the place to which you
are rounding?
Answer:
In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).
Step-by-step explanation:
Terica correctly simplifies the radical expression [tex]\sqrt[4]{81}[/tex] by first rewriting it as a rational exponent.
Which expression shows Terica's first step?
Answer:
Step-by-step explanation:
The symbol [tex] \sqrt[n]{a}[/tex] means [tex]a^{1/n}[/tex].
So then
[tex]\sqrt[4]{81}=81^{\frac{1}{4}}[/tex].
The expression that shows Terica's first step is [tex]81^\frac{1}{4}[/tex].
What is an exponent and why we need this form ?An exponents indicates how many times a number is multiplied by it self.We need this form as it is more compact when writing large large numbers.
According to the given question Terica correctly simplifies the radical expression [tex]\sqrt[4]{81}[/tex] by first rewriting it as a rational exponent.
We know [tex]\sqrt[n]{x}[/tex] can be written in rational exponent as [tex]x^\frac{1}{n}[/tex].
∴ [tex]\sqrt[4]{81}[/tex] can be written in radical exponent as [tex]81^\frac{1}{4}[/tex] which is
= [tex](9^2)^\frac{1}{4}[/tex].
= [tex](9)^\frac{2}{4}[/tex].
= [tex](3^2)^\frac{2}{4}[/tex].
= [tex](3)^\frac{4}{4}[/tex].
= [tex]3^1[/tex].
= 3.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ2
Find BC if AC = 13 and AB = 10
Answer:
BC=3
Step-by-step explanation:
We can solve this by eliminating given detail of A.
AC=13 , AB=10
To find BC, We minus AC With AB
BC= AC-AB
BC=3
3 Is the final answer
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
An airplane is flying in a direction of 165° with an airspeed of 650 mph. The wind is blowing at 50 mph in a direction of N 30° E. What is the ground speed and direction of the plane?
A) ground speed: 658 mph; direction 108°
B) ground speed: 639 mph; direction 161°
C) ground speed: 686 mph; direction 108°
D) ground speed: 698 mph; direction 161°
Answer:
B) Ground speed: 639 mph; direction 161°
Step-by-step explanation:
165° = 75° South of East = S15°E, therefore;
The component of the speed of the airplane are;
650 × cos(75°) East or x-direction in vector form:[tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}$[/tex]
650 × sin(75°) South or negative y-direction in vector form: [tex]$-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]
The speed of the airplane is [tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]
The speed of the wind in vector form is 25i + 25·√3 j
The combined speed of the airplane and the wind is found as follows;
Combined: [tex]$\left(650 \times \cos \left(75^{\circ}\right)+25\right)\left[\dot{i}+\left(25 \cdot \sqrt{3}-650 \times \sin \left(75^{\circ}\right)\right) \mathrm{j}\right.$[/tex], which gives;
The resultant speed of the airplane, [tex]$\left.R=\sqrt{(} 193.23^{2}+(-584.55)^{2}\right)=615.66$[/tex]
The resultant speed of the airplane, [tex]$\mathrm{R}=615.66 \mathrm{mph}$[/tex]
The direction =[tex]$\arctan ((-584.55) /(193.23))=-71.7^{\circ}$[/tex]
The bearing [tex]$=90^{\circ}+71.7^{\circ}=162^{\circ}$[/tex]
Therefore, the closest option is option B, ground speed: 639 mph; direction 161°
Learn more about speed refer:
https://brainly.com/question/18868816can anyone help me plz?
Answer:
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We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answer:
[tex]? \times \frac{?}{?} [/tex]
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]
Since L must be positive then L =2 and W = 2 + 23 = 25.
Help pls will give Brainly points
Answer: yes
Step-by-step explanation:
2) One bag has a 2 red tiles, 4 blue tiles, and a green tile. A second bag has
yellow tile and 2 brown tiles. Alex draws one tile from each bag. What are all
the possible outcomes? How large is the sample space?
Answer:I donno
Step-by-step explanation:
68. Evaluate - 2a + 6b when a = 6 and b = -3
-2a + 6b
= -2(6) + 6(-3)
= -12 + (-18)
= -30
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{-2a + 6b}[/tex]
[tex]\huge\textsf{= -2(6) + 6(-3)}[/tex]
[tex]\huge\textsf{= -12 + (-18)}[/tex]
[tex]\huge\textsf{= -12 - 18}[/tex]
[tex]\huge\textsf{= -30}[/tex]
[tex]\huge\textsf{Therefore, your answer is: -30}[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\huge\textsf{Amphitrite1040:)}[/tex]which value is equivalent to -5/6?
Answer:
-5/6 or -0.833333333333
Step-by-step explanation:
step-by-step-ecuation
Consider the function f(t) =
√²-9.
(a) Find the domain of f(t). Express your answer as an interval or union of intervals.
x
(b) Solve f(t) = 4. Enter your answer as a comma separated list.
t =
x
Step-by-step explanation:
a (-infinite , -3) U (3 , infinite)
b + 5 , - 5
determine the equation of the vertical line that passes through (9, -7)
Answer:
x = 9
Step-by-step explanation:
For a vertical line, slope is undefined as tan π/2 is undefined. Therefore we cannot express the equation of straight line in terms of it's slope.
For a vertical line, equation is given by, x = c where c is the point on x axis from which the given line passes.
Therefore x = 9 is the equation.
what is the expression of -6a + 2a + 4a
Answer:
answer is 12a
Step-by-step explanation:
6
+
2
+
4
6a+2a+4a
6a+2a+4a
Simplify
1
Combine like terms
6
+
2
+
4
6a+2a+4a
1
2
12a
Solution
1
2
2(x-5)=14
Solve for x.
Answer:
x=12
Step-by-step explanation:
2(x-5)=14
Multiply 2 into the parenthesis
2x-10=14.
Add 10 both sides.
2x=24
Divide 2 both sides.
x=12
Solve the following system of equations, using any method. Express your answers in one decimal place.
Answers:
x = 0y = 6.9The value of x is exact. The y value is approximate.
==================================================
Explanation:
Let's subtract the equations straight down.
The x terms subtract to -22x since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.
Plug this x value into any of the two original equations to solve for y
9x + 7y = 48
9(0) + 7y = 48
7y = 48
y = 48/7
y = 6.857 approximately
y = 6.9
27/50 converted to a decimal
Answer:
0.54
Step-by-step explanation:
27/50
= 0.54
Hope it helps.
Is 5x + 2 = 2x + 14 a one solution or a no solution or a real number
Answer:
it would be one solution
Step-by-step explanation:
It has one solution and is also a real number, but there's no pi or square root, so i'd go with one solution for the correct answer
Answer: One solution.
x=4
Step-by-step explanation: 5x+2−2x=2x+14−2x 3x+2−2=14−2 3x/3=12/3 x=4
53664 times 84 show work
write the equation of the line that satisfies the following conditions.
Answer:
x = 8
y = -6
Step-by-step explanation:
Vertical lines have a undefined slope and horizontal lines have a slope of 0. You'll write the equations for these types of lines like this.
Vertical Lines (x = x-intercept)Horizontal Lines (y = y-intercept)Since we don't have two points, we are going to have to graph the points and draw a line to find the intercepts. The graphs will be shown below. From finding out what the intercepts are, we can substitute the according values into the formula shown above.
x = 8
y = -6
Best of Luck!
don't attempt unless you have taken geometry.
two angles and complementary. the measure of one angle is 21 more than twice the measure of the other angle, find the measure of the angles.
Answer:
if it is 21 more thn twice then 21*2 would equal 42 then they are complementary so the you would get 49 as the second angle
Step-by-step explanation:
Answer:
the answer would be 67 and 23.
Step-by-step explanation:
Complementary angles are angles that add up to measure 90 degrees.
lets say angle one is y.
angle two would be 2y + 21.
so, 90 = y + 2y + 21. Group like terms to get 90= 3y +21.
subtract 21 from both sides 69=3y
divided both sides by three 23=y
so angle one is 23, and if you plug in 23 for y in angle two's equation you get 67.
Can someone please help and explain
Answer:
[tex]c = 300000 {(1.05)}^{50} [/tex]
Step-by-step explanation:
The future value formula is FV=PV(1+i)^n, where the present value PV increases for each period into the future by a factor of 1 + i. value PV increases for each period into the future by a factor of 1 + i.
[tex]fv = pv {(1 + r)}^{n} [/tex]
fv = future value
pv = present value
r = annual interest rate ( decimal number)
n= period
why tan 90 is not defined
Answer:
As we have got results as infinity and we cannot define infinity and we cannot define infinity therefore tan 90 is undefined
Answer:
Its undefined because you can't divide 1 by
Nothing multiplied by 0 will give an answer of 1 , So the answer is undefined
