Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
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Each of the four shapes shown below has been made from four unit cubes.
For each shape, Max takes eight copies of the shape and tries to fit them together to make a
2
×
4
×
4
cuboid.
How many of the shapes can be used to make a cuboid of that size in this way?
Answer:
Step-by-step explanation:
32
Combine these radicals
3V2-5V2
Plz help
Will give Brainlyest
Answer:
b
Step-by-step explanation:
because i said so and because i am tired and tired and tired
Answer:
[tex] - 2 \sqrt{2} [/tex]
Step-by-step explanation:
Subtract 5√2 from 3√2.
[tex] - 2 \sqrt{2} [/tex]
Hence, the answer is Option A. in decimal form the answer will be −2.82842712.
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
A.) If the edge of the dodecagon is 6 cm, what is the area of the top of the cookie?
B.) His parents decides to divide the cookie into 12 congruent pieces.
After 9 of the pieces have been eaten, what area of the cookie is left?
Answer:
The answer to each question is:
A.) 403.2 [tex]cm^{2}[/tex] B.) 100. 8 [tex]cm^{2}[/tex]Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
Area of a dodecagon = 6 * apothem * edgeIn the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
Apothem = Edge * [tex]\frac{2+\sqrt{3}}{2}[/tex]If we replace the value of the edge, we obtain:
Apothem = 6 cm * [tex]\frac{2+\sqrt{3}}{2}[/tex]Apothem = 11.2 cm (approximately).With this data, we can find the area:
Area of a dodecagon = 6 * apothem * edgeArea of a dodecagon = 6 * 11.2 cm * 6 cmArea of a dodecagon = 403.2 [tex]cm^{2}[/tex]Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
12 pieces = 403.2 [tex]cm^{2}[/tex]3 pieces = XThen:
X = (3 * 403.2 [tex]cm^{2}[/tex]) / 12X = 1209.6 [tex]cm^{2}[/tex] / 12X = 100. 8 [tex]cm^{2}[/tex]In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.
What is g(-3) for g(1) = (x + 7) + 2?
Answer:
x9
Step-by-step explanation:
i dunno if correct
Answer:
6
Step-by-step explanation:
Since you're given g(-3), set up the equation to look like this:
g(-3) = (x+7) + 2
Then plug in the g(x):
g(x) = (-3 + 7) + 2
Use PEMDAS to solve the equation:
g(x) = (-3 + 7) + 2
g(x) = (4) + 2
g(x) = 6
After completing the fraction division 5 divided 5.3 miko used multiplication shown to check her work
Answer:
True
Step-by-step explanation:
Miko's work is not shown in this question. Regardless, her process of using multiplication to check her work is correct. When performing a division problem, you can multiply the quotient by the divisor and the product of this multiplication process should be equal to the dividend of the division problem. For example,
5 / 5.3 = 0.9434
0.9434 * 5.3 = 5
What is the slope of a line perpendicular to the line with equation y = 5x – 2?
5
−15
–2
–5
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
If m1 = 42°, what is m2?
The required measure of angle value of the m2 is 48°.
Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
m1 + m2 = 90
42 + m2 = 90
m2 = 48°
Thus, the required value of the m2 is 48°.
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us
Complete the square
to find the vertex
of this parabola.
x2-14x+4y+29=0
( , )
Answer:
y=3x+29
Step-by-step explanation:
4y=12x+29
4y/4=12x+29/4
y=3x+29
Answer:
(7,5)
Step-by-step explanation:
CITY |. Temperature (°F) St. Louis | 32 Montreal |. -18 Buffalo. | -8 Orlando. |. 68 Juneau. |. -26 By noon, the temperature In Buffalo had risen by 14 °F. What was the temperature there at noon? How much higher was the 6 a.M. Temperature in St. Louis than Juneau?
Answer:
6°F
58°F
Step-by-step explanation:
From the data Given :
Temperature rise in Buffalo by noon time = 14°F
The initial temperature at Buffalo = - 8°F
Rise in temperature = 14°F
Therefore, temperature at noon = (-8 + 14)°F = 6°F
B.)
Temperature at 6am in St. Louis = 32°F
Temperature at 6am in Juneau = - 26°F
Temperature difference :
(32 - (-26))°F
32 + 26
= 58°F
Temperature in St. Louis is 58°F higher
What was the first step in Ghana’s independence? Kwame Nkrumah became the prime minister. A military coup seized power in the colony. Africans gained a majority in the parliament. Opposition political parties were banned.
Answer:
c
Step-by-step explanation:
The Africans gained a majority in the Parliament
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Ghana's independence:Ghana became an independent country in the year 1957. Ghana is a West Africa country with a general population of about 31 million people and it is a black nation.
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
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Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
9514 1404 393
Answer:
(c) Perpendicular
Step-by-step explanation:
The slope is the coefficient of x in this slope-intercept form.
The slope of the first line is +1.
The slope of the second line is -1.
The product of the slopes is (1)(-1) = -1. When the product of slopes is -1 for two lines, those lines are perpendicular.
Someone answer this please
Answer:
y = - 27/5
Step-by-step explanation:
4(3) - 5y = 39
12 - 5y = 39
-5y = 39 - 12 = 27
y = - 27/5
Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento
Answer:
1 ladrillo cuesta 1 dólar. 1 brick costs 1 dollars.
1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars
1 kg de arena cuesta $ 16: 1 kg sand costs $ 16
Step-by-step explanation:
Spanish
Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada
20b + 5s + 10c = $ 130 --- ecuación 1
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
Poniendo la ecuación 2 en la ecuación 3
1s = 4 (3b) + 4b
1s = 16b ---------- ecuación 4
20b + 5s + 10 (3b) = $ 130
50b + 5s = 130 --- ecuación 5
Poniendo la ecuación 4 en la ecuación 5
50 b + 5 (16b) = 130
50 b + 80b = 130
130 b = 130
b = 130/130 = $ 1 ------- ecuación a
1 ladrillo cuesta 1 dólar.
Poner el valor de costo de 1 ladrillo en estas ecuaciones
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
1c = 3 (1) = $ 3 -------- ecuación b
1 kg de cemento cuesta 3 dólares
1s = 4c + 4b
1 s = 4 (3) + 4 (1)
1 s = 12 + 4
1s = $ 16 ------ ecuación c
1 kg de arena cuesta $ 16
Poner valores de la ecuación a, b, c en la ecuación 1
20b + 5s + 10c = $ 130
20 (1) + 5 (16) + 10 (3) = 130
20 + 80 + 30 = 130
130 = 130 ------------ por lo tanto probado
English
Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition
20b+ 5s+ 10c= $130--- equation 1
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
Putting equation 2 in equation 3
1s= 4(3b) + 4b
1s= 16b---------- equation 4
20b+ 5s+ 10(3b)= $130
50b + 5s= 130--- equation 5
Putting equation 4 in equation 5
50 b + 5 (16b) = 130
50 b+ 80b= 130
130 b= 130
b= 130/130= $1------- equation a
1 brick costs 1 dollars.
Putting the cost value of 1 brick in these equations
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
1c= 3(1)= $3-------- equation b
1 kg cement costs 3 dollars
1s= 4c+4b
1s= 4(3) + 4(1)
1s= 12+4
1s= $16 ------ equation c
1 kg sand costs $ 16
Putting values from equation a, b, c in equation 1
20b+ 5s+ 10c= $130
20 (1) + 5 (16) + 10 (3)= 130
20 + 80 + 30 = 130
130 = 130 ------------ hence proved
pllssss helpppp ;no links i will report
Answer:
WHere IS the Questionnnn??????
Step-by-step explanation:
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
What is the area of triangle ABC in the simplest terms?
need the roots, please help
can anyone help me on absolute deviation
Answer:
what do you need help with?
Step-by-step explanation:
The difference between 25 and a number is at least 13.
Answer:
x ≤ 12
Step-by-step explanation:
The problem can be represented by the equation:
25 - x = y and y ≥ 13
So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.
A basketball stadium has 15 ,002 zero seats the lower level has 54 than three times as many seats as the upper level the middle level has 40 more than twice as many seats as the upper level used to solve for x and found that the upper level has 2,502 sears
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
What is the range of possible sizes for side x
Answer:
0.5 < x < 16.5
Step-by-step explanation:
For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.
When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2. (such that S2 > S1)
By the first property, we will have that S1 + S2 > S3
Where S3 is the third side, the one that we do not know.
But there is also a lower restriction, given by:
S2 - S1 < S3 < S1 + S2
This is because we also must have:
S1 + S3 > S2
and
S2 + S3 > S1
We can rewrite both of these to get:
S2 - S1 < S3
S1 - S2 < S3
Because S2 > S1, the first inequality is more restrictive, so we need to use that one.
Then we get the inequality:
S2 - S1 < S3 < S1 + S2
Ok, in this case, the shorter side is 8.0 then:
S1 = 8.0
And the longer side is 8.5, then:
S2 = 8.5
And the third side is x, S3 = x
Replacing those in our inequality, we get:
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 16.5
This is the range of possible sizes for side x.
hamid has gained weight.
he now weighs 88kg which is 10% higher than his normal weight
what is hamids normal weight?
Answer:
8.8 kilograms
Step-by-step explanation:
Answer: 83.6 Kg
Step-by-step explanation:
x * 0.1 = y ---> x = y/0.1
88 - y = x
y/0.1 = 88 - y
2y = 88 * 0.1
y = 4.4
88 - 4.4 = 83.6Kg
Write two numbers that multiply to the value on top and add to the value on bottom.
42-top
13-bottom
Answer:
7 x 6 = 42
7 + 6 = 13
Step-by-step explanation:
Math
What is the quotient of (2x^5+6x^3+12x) and (2x)
Answer:
[tex]\frac{2x^5+6x^3+12x}{2x} = x^3+3x^2+6[/tex]
Step-by-step explanation:
w h a t, i s, t h i s . . ?
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
7-2=5
18-2=16
15-2=13
90-20=70
Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside
Answer:
55.43cm^2
Step-by-step explanation:
Area of a hexagon given the apothem = 1/2 x perimeter x apothem
apothem = 4cm
To find the perimeter, take the following steps
4 = x√3
x = 4/√3
Multiply by 2
8√3
Since a hexagon has 6 equal sides, multiply by 6
Perimeter = 48√3
Area = (1/2) x 48√3 x 4 = 55.43cm^2
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5