Answers
Answer:
Step-by-step explanation:
to make life easier, i'll give both angles letters
Angle ABC= x
Angle CBD= y
x= y(1/3)
x+y=180
now substitute
y(1/3) +y =180
y(4/3) =180
y(4/3) * (3/4) = 180 * (3/4)
y= 135
CBD is 135 degrees
Related Questions
my h shopping bill come to fourteen pounds and eight-six peace how much change should i receive from 20 pounds note
Answers
Answer:
5 pounds 14 pence
50 -19= 31
Step-by-step explanation:
ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4
Answers
x-4 = 8
x = 12
Can you please help me thank you
Answers
PLEASE HELP WILL GIVE BRAINLIEST TY
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 20 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm.
If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?
Give your answer to the nearest minute.
How many minutes will you spend at the doctor's office?
Answers
Answer:
=34 minutes.
Step-by-step explanation:
Done according to my own understanding!
15mg - 7.25mg = 7.75mg
7.75mg / 20min = 0.3875mg per minute
7.25mg - 2mg = 5.25mg
5.25mg / 0.3875mg = 13.5483871 minutes
13.5483871 minutes + 20 minutes = 33.5483871 minutes
=34 minutes.
Use the graph to determine iffis odd, even, or neither
O A. Even
A
OB
Neither
OC. Odd
Answers
Answer: it is neither
Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.
Required:
Use similar triangles to find the area of a horizontal cross section at a height y.
Answers
Answer:
The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]
Put the value into the formula
[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]
[tex]7R=14-y[/tex]
[tex]R=2-\dfrac{y}{7}[/tex]
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
[tex]A=\pi R^2[/tex]
Put the value into the formula
[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]
Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
The area of the circular cone at height y can be derived as a function, A,
having y as the input variable.
Correct response:
[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]
Method used for deriving the areaThe given parameters are;
Shape of figure = Right circular cone
Height of the cone, h = 14
Base radius, R = 2
Required:
The area of a cross section at a height y using similar triangles
Solution:
We have using similar triangles;
[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]
Which gives;
[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]
Therefore;
2·(14 - y) = 14·r
28 - 2·y = 14·r
[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]
The horizontal cross sectional area, A = π × r²
Therefore;
[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]
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pls help me with number 12 I don’t know the answer I have been trying for a long time pls help
Answers
Answer:
m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5
Step-by-step explanation:
The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5
Solve for x:
3(x-4+1b)=8
Answers
Step-by-step explanation:
[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4+b=\frac{8}{3}[/tex]
[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]
[tex]x-4+b-b=\frac{8}{3}-b[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4=\frac{8}{3}-b[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]x-4+4=\frac{8}{3}-b+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-b+\frac{20}{3}[/tex]
[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]
[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]
[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]
[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]
A restaurant has square tables. Only one person can sit on either end of the table.
Now
Write out the formula to show how you to work out the "number of people" from the number of tables.
Someone making the booking for 20 people. How many tables must be pushed together?
Answers
Answer:
10
Step-by-step explanation: Because 10x2=20
so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together
unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2
10+10=20 or 10x2=20
ethier one would be the same
hope this helps you!
1 Solve the expression 8 x 5 – 12 x + 5 using PEMDAS. 3
39
40
41
42
Answers
Answer:
39
Step-by-step explanation:
Simplify x - 1 / 5(x - 1)^2
Answers
Answer:
1/5(x-1)
Step-by-step explanation:
cancel x-1
then we get
1/5(x-1)
If not understand comment below.
w2 – 2w
Complete square to make perfect square trinomial
Answers
Answer:
w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
What is perfect square?A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
Here, we have,
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
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Dorothy purchased a used vehicle that depreciates under a straight line
method. The initial value of the car is $8400 and the salvage value is $400. If the car is expected to have a useful life of another 5 years, how much will it depreciate each year?
Answers
Answer:
1,600
Step-by-step explanation:
did the math and this is what i got
Factor 16a + 72 to find the equivalent expression
Answers
Answer:
[tex]=8\left(2a+9\right)[/tex]
Step-by-step explanation:
[tex]16a+72[/tex]
[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]
[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]
[tex]=8\cdot \:2a+8\cdot \:9[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]
[tex]=8\left(2a+9\right)[/tex]
Hence, the correct answer is [tex]=8\left(2a+9\right)[/tex]
Answer:
8(2a+9)
Step-by-step explanation:
Hope this helps
The tuition cost for part-time students taking C credits at Stonewall College is given by 300+300C dollars.
A-Find the tuition cost for 13 credits. Do not use dollar signs or commas in your answer.
B-If the tuition cost is $3300, how many credits are taken?
Answers
Answer:
[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]
[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]
a.
The tuition cost for 13 credits is
= 300 + 300C
= 300 + 300 (13)
= 300 + 3900
= 4,200 dollars.
b.
And, the number of credits is
$3,300 = 300 + 300C
$3,300 - 300 = 300C
$3,000 = 300C
C = 10 credits
Therefore we can conclude that
The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.Learn more about the credit here: brainly.com/question/1475993
The distance between
-2 and 4
5 and -3
8 and -12
-9 and 17
Answers
Answer:
1. 6
2. -8
3. -4
4. 26
Step-by-step explanation:
yk how it's done
Given the following functions, find the indicated values.
f(x) = 6 - 2x
(a) f(-3)
(b) f(0)
(c) f(4)
(a) f(-3)=blank
plz help
Answers
Answer:
f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12
B f(0)=6
C f(4)= -2
Step-by-step explanation:
Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal
A function is a relationship between inputs where each input is related to exactly one output.
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 6 - 2x
Substitute x = -3, 0, and 4 on f(x).
f(-3) = 6 - 2 x (-3) = 6 + 6 = 12
f(0) = 6 - 2 x 0 = 6 - 0 = 6
f(4) = 6 - 2 x 4 = 6 - 8 = -2
The inputs are -3, 0, and 4.
The outputs are 12, 6, and -2.
Thus,
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
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how many apples would you have if you buy 256-123x234/78
Answers
Answer:
135 because if you put it in a caluclator that is what you get
Find the length of The side of a square with area 225square units
Answers
Answer:
Step-by-step explanation:
Let length of side = x
area = x²
so x² = 225 = 15²
then x = 15 units
Answer:
Formula for area of square;
A = a^2
where a represents the length of one side of the square, so;
A = a^2
given that the total area is 225,
225 = a^2
√225
= 15
The sum of two numbers is 33. One number is 2 times as large as the other
Answers
Answer:
11 and 22
Step-by-step explanation:
x + y = 33
y = 2x
x + 2x = 33
3x = 33
x = 11
Elsa earns $140 for working 20 hours, what is else's rate of pay each hour? how much would she get if she worked 35 hours for the same rate of pay?
Answers
Answer:
$245
Step-by-step explanation:
The hourly pay that Elsa earns is 140/20 = $7 per hour
So, the total pay that Elsa will earn for 35 hours is 7*35 = $245
What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answers
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
Find the solution set to the given equation. Answer only in numbers.
4x2 – 16x = 0
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Find the percent of increase from 55 people to 70 people. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
55
Step-by-step explanation:
theee are 372 pieces of candy in the bag Lucy needs to divide the candy up into smaller bags. she wants to put the same number of pieces in each small bag. how many small bags could lucy use? what is the number sentence?
Answers
Answer:
The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.
Step-by-step explanation:
372 ÷ 2 = 186
Therefore
372 ÷ 186 = 2
two candies in each bag means 186 bags of candy.
answer quick! ......................
Answers
Answer:
10 units up
Step-by-step explanation:
An example of this is where the graph changes from (0,0) to (0,10)
Have an amazing day!
PLEASE RATE!!
what is the distance between points (4,0) and (8,-5)
Answers
Answer:
(4,5)
Step-by-step explanation:
Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.
Answers
Answer:
Step-by-step explanation:
Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;
Sep 1:
Add 5 to both using addition property to move 5 to both sides
4x+2+5= 8x-5+5
4x+7 = 8x
Step 2:
Collect like terms
4x-8x = -7
-4x = -7
Step3:
Divide both sides by -4
-4x-4 = -7/-4
x = 7/4
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answers
Answer:
(4^2) -10
16- 10
= 6
Step-by-step explanation:
the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6
plus help me its really simple ill give you the brainiest
Answers
Answer:
Whole Numbers
Step-by-step explanation:
Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!