Answer:
Below in bold.
Step-by-step explanation:
a) The volumes will be in the ratio of the cubes of the edges.
So volume of A / volume B = 20^3 / 5^3
Volume A / 25 = 8000/125
Volume a = (25* 8000) / 125
= 8000/ 5
= 1600 cm^3.
b) ratio of the surface area of A to surface area of B
= 20^2 : 5^2
= 400:25
= 16:1.
c. The volume of pyramid B is 25 cm*3 so it' height is 25 / area of its base = 25/5^2
= 1 cm.
Now its slant height = √(1^2 + (2.5)^2)
= √7.25
= 2.6926 cm
So surface area = 25 + 4 * 1/2 * 5 * 2.6926
= 51.926
= 51.93 cm^2 to nearest hundredth.
and the surface area of pyramid B = 51.926 * 16
= 830.82 cm^2 to nearest hundredth.
Chris is calculating his deductions for his tax return. he is filing singly. he can claim $1,813 from property taxes, $1,513 from medical expenses, and $761 from state income tax. the standard deduction for a single filer is $5,700. how does the standard deduction compare to chris’s deductions? a. chris’s deductions are $1,437 more than the standard deduction. b. chris’s deductions are $2,087 less than the standard deduction. c. the standard deduction is $1,613 more than chris’s deductions. d. the standard deduction is $664 less than chris’s deductions.
The correct answer will be option c the standard deduction is $1,613 more than chris’s deductions.
What is tax?Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.
Chris's deductions for tax return = claim from property taxes +claim from medical expenses+claim form state income tax
= $1813+$1513+$76
= $4087
Standard deductions = $5700
Difference between standard deduction and Chris's deductions
= 5700-408
= $1613
Hence standard deductions is better than Chris's deductions by $1613
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Answer: (C)
Step-by-step explanation:
Chris's deductions for tax return = claim from property taxes +claim from medical expenses+claim form state income tax
= $1813+$1513+$761
= $4087
Standard deductions = $5700
Difference between standard deduction and Chris's deductions = 5700-408
= $1613
Hence standard deductions is better than Chris's deductions by $1613
Therefore, option (C) is correct.
1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
weekly raise= $145
to find:an integer describing how the raise will affect her paycheck.
solution:Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 145.
So after completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
therefore, in this way end of every week her salary will increase by $ 145.
Sasha spins a spinner with 2 happy face sections, 1 sad face
section, 2 mad face sections, and 1 confused face section. What is the probability the spinner does NOT land on a mad face?
Answer:
Step-by-step explanation:
The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.
.Hope this helps you!!
Geometary formulas 7th grade
Sum of the interior angles of a polygon. (number of sides - 2) 180.
Area of a rectangle or a parallelogram. A = bh.
Area of a triangle. A = ½ bh.
Area of a trapezoid. A = ½ (b₁+b₂) h.
Area of a circle. A = πr²
Circumference of a circle. C = πd.
Surface area of a prism. S = 2B + Ph.
Surface area of a cylinder.
help me solve for “U”. Please and thanks
Answer:
u = 12
Step-by-step explanation:
To solve for the variable, undo the operations done to it, starting with the last one.
u/3 -2.25 = 1.75 . . . . . . given
u/3 = 4.00 . . . . . . . . add 2.25 to both sides
u = 12 . . . . . . . . . . multiply both sides by 3
Consider the function f(x) = 3x2 7x 2. what is the value of the discriminant? how many x-intercepts does this function have? what are the number of zeros for this function?
The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
How to find the value of discriminant?The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
[tex]D=b^2-4ac[/tex]
The given quadratic function is,
[tex]f(x) = 3x^2 +7x+ 2[/tex]
Compare it with standard form, we get,
[tex]a=3\\b=7\\c=2[/tex]
Thus, the value of discriminant is,
[tex]D=(7)^2-4(3)(2)D=49-24\\D=25[/tex]
The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.
Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
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Answer:
The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
How to find the value of discriminant?
The standard form of the quadratic equation is,
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
The given quadratic function is,
Compare it with standard form, we get,
Thus, the value of discriminant is,
The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.
Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
Learn more about the discriminant here;
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Step-by-step explanation:
Ursula drew a polygon in which all the angles were obtuse. What kind of polygon could she have drawn?
Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.
What is an angle?An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angled.
An obtuse angle is an angle which is greater than 90 degrees.
Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.
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You deposit $2,000 into a bank account that will bay you 4. 8% interest APR ("annual percentage rate") compounded monthly. How much money will you have in 10 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06[/tex]
Which of the following comics represents a circle?
Answer:
B. x² + y² - 4x +8y +11 = 0
Step-by-step explanation:
B. is the only one that represents a circle. Option A forms an oval, option C forms an X, and option D forms a regular function.
hope this helps!
Answer answer answer
Answer:
B
Step-by-step explanation:
-6-19=25
Check:
6+19=25
Answer:
h=-6 aka b
Step-by-step explanation:
First start with h-19=-25
then h-19+19=-25+19
answer h=-6
3x(7)+23
what's the answer?
Answer:
21x+23
Step-by-step explanation:
Answer:
The answer is 21x+23
Step-by-step explanation:
Since it's parentheses you can multiple 3 by 7 which is 21.
Find the SURFACE AREA of the shape below. Do NOT label your answer! (Ignore the red line that looks like a 1. I don't know why it showed up on the picture
Answer:
486in²
Step-by-step explanation:
The solid given above is a cube.
(all sides are equal)
SA of cube
= 6a²
= 6(9²)
= 6(81)
= 486
What is 40% of 355.00?
Answer:
142
Step-by-step explanation:
Answer:
142
Step-by-step explanation:
The ratio of the quantities of salt to baking soda needed to complete a science experiment is 3:7. What is the quantity of salt in grams needed for this experiment, if 420 grams of baking soda is used to complete the experiment?
The quantity of salt in grams needed to complete the experiment is 180 grams.
What are ratios?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
What is the quantity of sat needed?Quantity of salt needed = (grams of baking soda x ratio of salt) / ratio of baking soda
(3 x 420) / 7 = 180 grams
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Which expression is equivalent to (4 × 8) + (4 × 3)?
A. 4 + (8 x 3)
B. 4 + (8 + 3)
C. 4 x (8 x 3)
D. 4 x (8 + 3) .... i need help asapppp
Answer:
D.
Step-by-step explanation:
(4 x 8) + (4 x 3)=44
4 x (8 + 3)=44
How many millimeters are in 4.06 meters
Answer is 4060
hope this is helpfulhelpful
wrong answers will be deleted
letter b :) its a little above 2, but not enough to be 2.5
Choose the function that represents the data in the table. f(x) = x200 – 7 f(x) = 200x – 7 f(x) = 200x2 – 7 f(x) = 200x – 7
The linear function that represents the data in the table is given by:
f(x) = 200x - 7.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Researching the function on the internet, it is found that:
When x = 0, y = -7, hence the y-intercept is of b = -7.When x increases by 1, y increases by 200, hence, the slope is of m = 200.Thus, the function is given by:
f(x) = 200x - 7.
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Answer:
b
Step-by-step explanation:
f(x)=200x-7
Enter the values of h and k so that y = x2 6x 10 is in vertex form. y = (x )2
Answer:
120
Step-by-step explanation:
2x6x10 gives you the answers
Answer:
3 | 1
☆
EDGE2022; Good Luck :3!!!
Delta Math: Angle Terminology with Equations
[tex]3x-30=2x-9\\\\\implies 3x -2x = -9 +30\\\\\implies x = 21[/tex]
Vertical angles are equal
3x-30=2x-93x-2x=-9+30x=21Done!
Find the circumference of both circles.
2 in.
14 in.
Answer:
Depends...
Step-by-step explanation:
If 2in and 14 in are diameter
C=2pi in.
C=14pi in.
If 2in and 14in are radii
C=4(pi).
C=28(pi)
what is the solution to the system y=4x+3 y=-1/4x+3
Answer:
Addition/Elimination
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,3)
Equation Form:
x=0,y=3
solve for the varabile a -10=a/5-2
Answer:
[tex]a - 10 = \frac{a}{5 } - 2 \\ \\ \implies \: a - 10 = \frac{a - 10}{5} \\ \\ \implies \: 5a - 50 = a - 10 \\ \\ \implies \: 5a - a = - 10 + 50 \\ \\ \implies \: 4a = 40 \\ \\ \implies \: a = \cancel\frac{40}{4} \\ \\ \implies \: a = 10[/tex]
hope helpful ~
Answer:
a-10=a/5-2
a-10=a/3
3(a-10=a/3)
3a-30=a
3a-a=30
2a=30
a=15
What is the 12th term of the geometric sequence 2,10,50,250
3) Elliott is using cement circles to
create a walkway from his deck to his
driveway. One circle has an area of
200.96 inches. What is the radius of
one of the circles?
Answer: The radius is 8 inches
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2=A[/tex]
Where
A is the area (200.96 for this)
[tex]\pi[/tex] is pi (we'll round it to 3.14 for this)
and r is the radius
Let's sub in our values and solve for r
[tex]3.14r^2=200.96[/tex]
Divide both sides by 3.14 to isolate [tex]r^2[/tex]
[tex]\frac{3.14r^2}{3.14} =\frac{200.96}{3.14} \\\\r^2=64[/tex]
Take the square root of both sides to cancel the square
[tex]r^2=64\\\sqrt{r^2} =\sqrt{64} \\r=8[/tex]
Gagu is paid £1200 per month.
He is going to get a 4% increase in the amount of money he is paid.
Work out how much Gagu will be paid per month after the increase.
Answer:
£1248
Step-by-step explanation:
1200x4%
=£48
1200+48=£1248
Gagu will be paid £1248 after the increase.
The amount Gagu paid per month after the 4% increment is £1248
What is the method to calculate x% increment?If there is x% increment in y then the increment will be (x/100)*y and the new amount after x% increment will be now y + (x*y)/100
Given that Gagu is paid £1200 per month. He is going to get a 4% increase in the amount of money he is paid.
Initial payment = £1200
4% increment = 4% of initial pay = 4(1200)/ 100 = £ 48
After increment new payment = Initial payment + 4% increment = 1200+48
= £1248
Therefore, The amount Gagu paid per month after the increase is £1248
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what association does the scatter plot show?
Answer asap
3. Triangle ABC with AB = 3 cm, LABC = 40°,
=
and Z BAC = 70°.
Construct a triangle with the given conditions
Answer: Right angled triangle
Step-by-step explanation: Find picture attached
Determine the total annual fica tax for an annual salary of $38,480. a. $294.37 b. $717.96 c. $2,385.76 d. $2,943.72 please select the best answer from the choices provided a b c d
The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
What is the FICA tax?FICA tax comprises Social security tax + Medicare tax.
Where: Social security tax=6.2%, Medicare tax=1.45%, FICA tax =7.65%
The total annual fica tax for an annual salary of $38,480 is given by;
FICA tax=($38,480×6.2%)+($38,480×1.45%)
FICA tax=$2,385.76+$557.96
FICA tax= $2,943.72
Hence, the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
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Baxter has a sandbox that holds Kinetic sand. The diagram
below shows the dimensions of the sandbox.
Baxter’s dad fills his sandbox to half its capacity. Which equation
can be used to find the volume of the sand in Baxter’s sandbox?
V=12(4+334+1112)
V=(4)(154)(1112)
V=12(4⋅334⋅1112)
For any polygon:-
Volume=Area of base×HeightHere
Base is triangle
Area=
1/2(4)(3)2(3)6cm²Volume:-
6×530cm²