Given that mCD=20°, find mBC
Answer:
70°
Step-by-step explanation:
[tex] m\widehat {BC} = 90\degree - m\widehat {CD} [/tex]
[tex] m\widehat {BC} = 90\degree -20\degree [/tex]
[tex] m\widehat {BC} = 70\degree [/tex]
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
Can someone give me the anwers I don’t understand it
The surface area of a cylinder is 520 ft.² The area of one of the bases is 254.34 ft.² find the height of the cylinder
Answer:
The height is 0.2003ft
Step-by-step explanation:
Given
[tex]Surface\ Area = 520[/tex]
[tex]Base\ Area = 254.34[/tex]
Required
The height of the cylinder
The base area of the cylinder is:
[tex]Base\ Area = \pi r^2[/tex]
This gives
[tex]254.34 = 3.14 * r^2[/tex]
Divide by 3.14
[tex]81 = r^2[/tex]
Take square root of both sides
[tex]r = \sqrt{81[/tex]
[tex]r = 9[/tex]
The surface area of a cylinder is:
[tex]Surface\ Area = 2\pi rh + 2\pi r^2[/tex]
This gives
[tex]520 = 2*3.14* 9h + 2*3.14* 9^2[/tex]
[tex]520 = 56.52h + 508.68[/tex]
Collect like terms
[tex]56.52h = 520 -508.68[/tex]
[tex]56.52h = 11.32[/tex]
Solve for h
[tex]h = 11.32/56.52[/tex]
[tex]h = 0.2003ft[/tex]
Correct I’ll give brainlist no links or I’ll report
Answer:
y = 5x -23
Step-by-step explanation:
Alright, for this, we need the slope and the y intercept. First, the slope.
So to find the slope, find any two points that the line goes over first. For example, the dotted point (5,2). Now for the other one, (4,-3) can be used.
Look for when the line is crossing over the points of the square graph, as this will help you with the next part.
For the next part, to find the slope, this is going to see how much the line has done up/down for how much we move forward or backwards on the line. With this, the equation:
y2-y1 / x2-x1 can be used, with the 2s and 1s being just to show that there are 2 separate points being used for it.
Next, plug it in with what's known:
2-(-3) / 5-4
5 / -1
Slope is 5.
Now, the y intercept needs to be found. To get this, we need the y value for where the line passes over where the x value is 0.
By knowing that the slope is 5, we can walk backwards to the y intercept to get this value. With this, for every number in x walked back, it will go down 5 y values:
5, 2 (Do -1, -5)
4, -3 (Do -1, -5)
3, -8 (Do -1,-5)
2, -13 (Do -1,-5)
1, -18 (Do -1,-5)
0, -23 (All done)
The y intercept is now found, along with the slope. Now these values can be both be plugged into the slope intercept equation, y=mx+b, where m is for the slope and b is where the y intercept goes.
y = 5x -23
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
If you were trying to prove that a shape had all four sides congruent, which formula
would you be using?
A. Slope Formula
B. Distance Formula
C. Quadratic Formula
D. Midpoint Formula
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these assignments be made?
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
help plz will give brainlist if yor right
Answer:
[tex]x + 7 = 18[/tex]
Step-by-step explanation:
[tex]2(x + 7) = 36[/tex]
[tex] \frac{2(x + 7)}{2} = \frac{36}{2} [/tex][tex]x + 7 = \frac{36}{2} [/tex][tex]x + 7 = 18[/tex]
Hope it is helpful....the figure is transformed as shown in the diagram describe the transformation. NO SCAMS OR LINKS PLEASE!!!! THANKS FOR THE HELP!
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Solve for X in 3x/10 + x/5 = 15 SHOW WORK
Answer:
x = 30
Step-by-step explanation:
correct me if i am wrong but i think you have to
a.) change the denominator's to be the same :
ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )
b.) put the formula back together :
3x/10 + 2x/10 = 15
5x/10 = 15
5x = 150
x = 30
Use the graph to write a linear function that relates Y toX
First correct response gets brainliest
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
The length of a rectangle is 3 times the width. The area of the rectangle is 48 square inches. What is the length of the rectangle?
Answer:
let the width be x
so 3x × x = 48
=> 3x^2 = 48
=> x^2 = 16
=> x = 4
So the length = 4×3 = 12 inches
breadth= 4 inches
Hope it helps
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
Which choice is equivalent to the quotient shown here when x2 0?
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Which equation has 5 terms?
Step-by-step explanation:
An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.
If a boat travled 70miles in 5 hours how far did the boat travel in one hour
Answer:
350millas
Step-by-step explanation:
A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
44.44°
Step-by-step explanation:
A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.
We solve this question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = ?
Opposite = Height of the tower = 101 feet
Adjacent = Length of the shadow = 103 feet
Hence
tan θ = 101/103
θ = arc tan (101/103
θ = arctan(0.9805825242718447)
θ = 44.438294667°
Approximately to the nearest degree = Angle of elevation = 44.44°
two parallel lines are cut by a transversal. what is the measure of angle 8
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
What iS the slope of the line shown on the graph?
Answer:
- 4/5
Step-by-step explanation:
since the line is going down, it is negative
use rise / run for this
it goes 4 units down (rise) and 5 units to the right (run)
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches .
1. Without calculating, predict which frame has a shorter width
(A.) Frame A
(B.) Frame B
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answer:
thats about like ummm 69?
Step-by-step explanation:
Which of the following is a dilation?
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation