On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.
Answer for points I know the answer
Answer: 2.2 inches
Step-by-step explanation:
Find the tangent of the angle indicated by each of the following right angle triangles.
Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247
Reduce the following fractions to lowest terms: 36/39
Answer:
12/13
Step-by-step explanation:
36/39
Divide by 3
12/13
If one nickel has a mass of nickel 5 grames so what is the mass of 6 nickle
Answer:
30 grames.
Step-by-step explanation:
5 x 6 = 30.
of the prism below is a
square with a circular hole in it.
Work out the volume of the prism.
Give your answer to 3 s.f.
5 cm
6 cm
The cross-section
13 cm
Answer:
704 cm³
Step-by-step explanation:
Things to understand :
The 3D figure removed by making a circular hole through the prism is a cylinder. The original shape was a rectangular prism.Volume of the prism is equal to the difference between the volume of the rectangular prism and cylinder.Solving :
Volume (prism) = Volume (rectangular prism) - Volume (cylinder)
Volume = LWH - πr²h
Volume = 5 x 13 x 13 - π x 3² x 5
Volume = 845 - π x 45
Volume = 845 - 141.3
Volume = 704 cm³
[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]
Step-by-step explanation:
Information about diagram- The diagram is a square prism with a circular hole in it.
Given:
length of prism (a) = 13cm
height of prism (h) = 5 cm
diameter of circle(d) = 6 cm
To find:
Volume of prism =?
Solution:
Formula that would be used,
[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]
[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]
Let's calculate the overall volume of prism,
Volume of prism(including volume of hole) V = a²h
[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]
To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.
[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]
now calculate the volume of circular hole inside the prism,
Volume of circular hole(cylindrical shape) v= πr²h
[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]
The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)
[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]
Answer - Volume of prism is 703.7 cm³
[tex] \small \sf Thanks \: for \: joining \: brainly \: community![/tex]
Help solve 100 points!!!!!
Answer:
4 weeks
Step-by-step explanation:
Given information:
Starting account balance = $85Weekly deposit = $8 + $10 = $18Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
State the center coordinate and radius length of the circle: x^2 + y^2 - 8x + 12y + 40 = 0
Answer:
Below in bold.
Step-by-step explanation:
x^2 + y^2 - 8x + 12y + 40 = 0
x^2 - 8x + y^2 + 12y = -40
Complete the square on the x and y terms:-
(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40
(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 12
So the centre is at (4, -6) and the radius is √12.
Answer:
The circle is centered at (4,-6) and has a radius of √12.
Step-by-step explanation:
The standard form for the circle equation is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
You have:
[tex]x^2+y^2-8x+12y+40=0[/tex]
First complete the square for the 'x' terms:
[tex](x^2-8x+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16)+y^2+12y+24=0[/tex]
[tex](x-4)^2+y^2+12y+24=0[/tex]
The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:
[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]
[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]
[tex](x-4)^2+(y+6)^2-12=0[/tex]
Add the 12 to the other side:
[tex](x-4)^2+(y+6)^2=12[/tex]
The circle is centered at x = 4, y = -6, and has a radius of √12.
A textbook has `428` numbered pages, starting with 1.
You are equally likely to stop on any of the pages if you flip through the book randomly.
If you repeat this experiment `50` times, about how many times do you expect to turn to an even-numbered page?
I need help.. can somebody help me understand inputs & outputs?
A) 8, 2, –12
B) 8, 0, 12
C) 8, 0, –12
D) –8, 0 12
“Solve the following system of equations using the method of substitution.” Please help!!!
Answer: -17/4
Step-by-step explanation:
the cuboid has dimension 25cm by 10cm by 8cm the volume is
2000cm³.
The volume of any 3d shape is the length x height x width.
This case it is 25 x 10 x 8.
Choose the function that correctly identifies the transformation of f(x) = x2 shifted four units right and seven units down.
Answer:
Ok hello my name is Christopher and I have already done this and the answer is (6,-7)
Step-by-step explanation:
The diameter of the circle above is 26 in. What is the circumference of the circle? Use = 3.14.
Circumference = 275
A.40.82 in
В.530.66 in
C.81.64 in
D. 1,061.32 in
Answer:
C
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr = πd ( d is the diameter and d = 2r ) , then
C = πd = 3.14 × 26 = 81.64 in
What is the number sentence for "1 less than N is the sum of Z and
2"?
Answer:
N–1=Z+2 should be the solution.
Solve for x. Round to the nearest tenth.
Answer:
x = 4.55
Step-by-step explanation:
Tan(75) = 17/x
3.73 = 17/x
x3.73 =17
x = 4.55
(-2) +[(-13) +4]=[(-2) +(13) ]+4
On the Moon, an astronaut will have______mass and________.
weight as on Earth
A. 1/6th the, the same
B. the same, 1/6th the
C. 1/6th the, 1/6th the
D. the same, the same
Answer:
B
Step-by-step explanation:
Answer:
D. Because the same answer
Step-by-step explanation:
There are 7 red marbles and 8 blue marbles in a bag. (a) What is the ratio of blue marbles to all marbles in the bag? (b) What is the ratio of blue marbles to red marbles?
Answer: (a) 8 : 15 (b) 8 : 7
Step-by-step explanation: all marbles is 8+7 = 15
ratio of blue marbles to ALL marbles
8 : 15
ratio of blue marbles to red
8 : 7
Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning.
Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:
Area of larger region = 7 * 490 cm² = 3430 cm²
Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²
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need help with this math
Answer :
It will take 5 hours for Rachel to catch up with Nick.Explaination :
Here we are given with two equations,
f = 7h + 20 (Equation No 1)f = 10h + 5 Equation No 2)So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)
>> 7h + 20 = 10h + 5
>> 10h - 7h = 20 - 5
>> 3h = 15
>> h = 15 / 3
>> h = 5
Write the expressions for (f x g) (x) and evaluate (f-g) (4)
The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.
What is a function?In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.
The functions are given below.
f(x) = x - 4
g(x) = 3x + 6
Then the product of the functions will be
(f × g)(x) = (x - 4)(3x + 6)
(f × g)(x) = 3x² -12x + 6x - 24
(f × g)(x) = 3x² - 6x - 24
Then the sum of the functions will be
(f + g)(x) = x - 4 + 3x + 6
(f + g)(x) = 4x + 2
Then the difference in the functions at x = 4 will be
(f - g)(4) = (x - 4) - (3x + 6)
(f - g)(4) = x - 4 - 3x - 6
(f - g)(4) = -2x - 10
(f - g)(4) = -2 (4) - 10
(f - g)(4) = -8 -10
(f - g)(4) = -18
More about the function link is given below.
https://brainly.com/question/5245372
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Create an equation to convert X feet into y miles
Answer:
y = x/5280
Step-by-step explanation:
y miles = x feet / 5280
Find the equation of the line passing through the points (−4,−7) and (−4,−6).
Your answer should take the form x=a or y=a, whichever is appropriate.
Answer:
y=x-7
Step-by-step explanation:
Rise over run
-6-(-7)
---------- = 0
-4-(-4)
Point Slope form
y+7=0(x+4)
Y=MX + B
y=x-7
The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The equation of the line passing through the points (−4,−7) and (−4,−6) will be
y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)
y + 6 = (1/0)(x + 4)
x + 4 = 0
Put x = a, then the equation will be
x + 4 = 0
a + 4 = 0
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
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what is sin theta when cot theta = square root 2/2
Answer: 2/sqrt6
Step-by-step explanation:
tan theta=perpendicular/base so
cot theta =base /perependicular=sqrt2/2
while sin theta=perpendicular/hypotenous=2/x
here x is unkown to find it we will use pythagoras theorem
(hypoteneous)^2=(Base)^2+(perependicular)^2
=(sqrt 2)^2+(2)^2
=2+4
(hypoteneous)^2=6
hypotenous =sqrt6
so
sin theta=2/sqrt6
4u(y+6) + a(y+6) in factored form
Answer:
( 4u + a ) + ( y + 6 )
Step-by-step explanation:
4u(y+6) + a(y+6) ...
The answer is ( 4u + a ) + ( y + 6 )
Look at the street map. What street intersects with Polk Street?
A. Union Street
B. Church Street
C. Geary Street
D. Fulton Blvd.
Answer:
Geary street :D
they intersect here
click on the photo. it's not a link it's a screenshot of where they intersect
Please help asap! Thanks
[tex]y=f(x)= \dfrac x 3 \\\\\text{Replace x with y and then solve for y,}\\\\~~~~x = \dfrac y 3\\\\\implies y = 3x \\\\\implies f^{-1}(x) =3x[/tex]
You spin the spinner twice.
5
2
4
3
What is the probability of landing on a number less than 3 and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Step-by-step explanation:
remember, a probability is always desired cases over possible cases.
and the combination of the probabilities of two (or more) events means to multiply these probabilities.
the probability to get a specific number on the spinner is 1/4 (1 desired number over 4 possible numbers).
so, to get first a number less than 3 ... - that means, the only desired outcome is the number 2.
so,
1/4
to get 5 on the second spin ?
again,
1/4
the combination of both events into one delivers the probability of
1/4 × 1/4 = 1/16
How can you find out the similarities and differences in a non-fiction text?
A. Look at how the characters speak
B. Look at the genre
C. Identify whether the texts present the same facts
D. Look at how the text is written
Answer:
The answer is choice c. This is because texts present the same facts in fiction or nonfiction life.
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
• -1/2
• 2
• -2
• 1/2
Answer:
-2
Step-by-step explanation:
Slope of a line, given two points : formatslope=y2−y1x2−x1=4−2−2−(−1)=2−1=−2