Answer:
[tex]A = 234mm^{2}[/tex]
Step-by-step explanation:
A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.
In a rectangular prism you can differentiate the following elements:
Bases: are two parallel and equal rectangles.
Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.
Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.
Vertices: the eight points where three faces of the prism converge.
Edges: segments where two faces of the prism are found.
The surface area of the rectangular prism (or orthohedron) is calculated by the following formula:
[tex]A=2(wh+lw+lh)[/tex] where w is width, l is length, and h is height.
Solving with l = 15mm, w = 3mm, and h = 4mm
[tex]A=2[(3mm)(4mm)+(15mm)(3mm)+(15mm)(4mm)][/tex]
[tex]A=2(12mm^{2}+45mm^{2} +60mm^{2}) \\A=2(117mm^{2})\\A= 234mm^{2}[/tex]
Answer:
S.A. = 234mm²Step-by-step explanation:
Look at the net of the prism in the picture.
We have
two rectangles 4mm × 15mm
two rectangles 3mm × 15mm
two rectangles 3mm × 4mm
The formula of an area of a rectangle: A = lw
l - length
w - width
l × w
Calculate the areas:
A₁ = 4mm · 15mm = 60mm²
A₂ = 3mm · 15mm = 45mm²
A₃ = 3mm · 4mm = 12mm²
The surface area:
S.A. = 2A₁ + 2A₂ + 2A₃
Substitute:
S.A. = 2 · 60 + 2 · 45 + 2 · 12 = 120 + 90 + 24 = 234mm²
Drew earns $65 washing 5 dogs. At this rate, how much does Drew earn washing 3 dogs?
Answer:
39
Step-by-step explanation:
the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest
Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.
Answer: $39
if sally had 3 apples and gave 2 away how many does sally have now
Answer:
Step-by-step explanation:
3 - 2 = 1 apple
Sally has 1 apple.
Hope this helps.
Please mark as brainliest.
Subtract (5x + 3) from (9x – 7).
Answer:
4i - 10
Step-by-step explanation:
9x - 7 - 5x - 3 = 4i -10
Help please.Graphs . Thank you
Answer:
[tex]F(x)=x^2-5[/tex]
Step-by-step explanation:
The parent function is [tex]G(x)=x^2[/tex].
The function F(x) is obtained when G(x) is shifted down by 5 units.
Hence we rewrite F(x) in terms G(x).
[tex]F(x)=G(x)-6[/tex]
Therefore the required equation is;
[tex]F(x)=x^2-5[/tex]
Two vertices of a right triangle have coordinates (4, 2) and (5, -3). Select each ordered pair that could be the coordinates of the third vertex.
The answer is A.) ( 4, -3 )
Solve the equation for x 1/3 (6x-15) = 1/2(10x-4)
For this case we must solve the following equation for x:
[tex]\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)[/tex]
We apply distributive property to the terms of parentheses:
[tex]2x-5 = 5x-2[/tex]
We subtract 5x on both sides of the equation:
[tex]2x-5x-5 = -2\\-3x-5 = -2[/tex]
Suamos 5 on both sides of the equation:
[tex]-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1[/tex]
Answer:
[tex]x = -1[/tex]
solve the inequality
Answer:
[tex]\large\boxed{-1<x<4}[/tex]
Step-by-step explanation:
[tex]-6<2x-4<4\qquad\text{add 4 to all sides}\\\\-6+4<2x-4+4<4+4\\\\-2<2x<8\qquad\text{divide all sides by 2}\\\\\dfrac{-2}{2}<\dfrac{2x}{2}<\dfrac{8}{2}\\\\-1<x<4[/tex]
describe the cross section of the rectangular prism
Answer:
We can say that it is a Rectangle
Step-by-step explanation:
Based on the image shown we can see the following. The Blue section is a 2D figure. We can also see that the sides cover the same length and height as the rectangular prism that encompasses it. Therefore based on the information that we gathered we can say that the cross section (blue shaded area) is a rectangle.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The cross-section shown in a rectangular prism with the blue-shaded area is a rectangle.
Given that,
A rectangular prism with a cross-section is shown in the image.
Used the concept of rectangle which states that,
A rectangle is a two dimension figure with 4 sides, 4 corners, and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Now, by the given figure, the Blue section is a 2D figure.
And, the sides cover the same length and height as the rectangular prism
Hence, it shows a rectangle.
Therefore, the cross-section shown with the blue-shaded area in the figure is a rectangle.
To learn more about the rectangle visit:
https://brainly.com/question/2607596
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50 POINTS PLEASE HELP
first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6
now factor the numerator (x+3)(x-2)
now find the restriction 3x-6=0 3x=6 x=2
now factor the denominator 3(x-2)
((x+3)(x-2))/3(x-2)
now cross off the (x-2)
and you are left with (x+3)/3
ANSWERS:
The restriction is X=2
The simplified fraction is (x+3)/3
Answer:
First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6
now factor the numerator (x+3) (x-2)
now find the restriction 3x-6=0 3x=6 x=2
now factor the denominator 3(x-2)
(x+3)(x-2)/3(x-2)
now cross off the (x-2)
and you are left with (x+3)/3
The restriction is X=2
The simplified fraction is (x+3)/3
What is the product? Assume x ≠ 0. 2x^2/3{6/x} 3x 4x 3x2 4x2
Answer:
4x
Step-by-step explanation:
The given product is;
[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]
This is the same as;
[tex]\frac{2x^2\times 6}{3\times x}[/tex]
We cancel out the common factors to obtain;
[tex]\frac{2x\times 2}{1\times 1}[/tex]
Multiply out to obtain;
[tex]\frac{4x}{1}[/tex]
Simplify
[tex]4x[/tex]
The second option is the correct choice.
Answer:
4x
Step-by-step explanation:
[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]
2x^2 can be written as 2*x*x
so the given expression becomes
[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]
we cancel out x at the top and bottom
we know 6 divide by 3 is 2
[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]
Now we multiply the numerator with numerator and denominator with denominator
4x
Find the x and y intercepts 5x -2y =10
Answer:
x-int: (2, 0)y-int: (0, -5)To find the x-intercept, substitute in 0 for y.
To find the y-intercept, substitute in 0 for x.
Hope this helps and hava great day!!
Answer:
x-intercept: (2,0)(2,0)
y-intercept: (0,−5)(0,-5)
Step-by-step explanation:
The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume?
a. 10/9 cubic in
b. 10 cubic in.
c. 30 cubic in.
d. 10/3 cubic in
Answer:
the answer is A. 10/8 cubic in.
Step-by-step explanation:
V = LWH
length is 2 (1/3 in)
width is 3 (1/3 in)
height is 5 (1/3 in)
V = 2/3 in * 3/3 in * 5/3 in.
V = 10/9 cubic in.
The volume of the prism is 10 cubic inches, making the correct answer option b.
To find the volume of the prism made up of cubes each measuring 1/3 of an inch on one side, we first need to understand the volume of one cube.
The volume of a cube is calculated using the formula:
Volume = side³Given that each side of the small cube is 1/3 inch, we calculate:
(1/3 inch)³ = 1/27 cubic inchesNext, we need to determine the total number of these small cubes that make up the prism. Let's assume the prism consists of 270 of these small cubes.
The total volume of the prism is calculated by multiplying the volume of one small cube by the total number of cubes:
Volume of prism = 270 × 1/27 cubic inches = 10 cubic inchesThus, the correct answer is:
Option b. 10 cubic in.. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
long will it take the hawk to reach the rabbit?
(Hint: A model for the vertical motion of a projected object is given by the equation h = -16t2 + vt + s, where h is the height
in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height of the object in feet. Use
this equation to find the time taken by the hawk to reach the rabbit.
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
[tex]h=-16t^{2} +vt+s[/tex]
when the hawk reaches the rabbit the value of h is equal to zero
we have
[tex]v=55\ ft/sec[/tex]
[tex]s=60\ ft[/tex]
substitute
[tex]0=-16t^{2} +55t+60[/tex]
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
Identify the transformation performed in the figure below :
Answer:
Translation
Step-by-step explanation:
You just move the shape down
Answer:
Step-by-step explanation: translation.
Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.
Jane will roll a number cube 30 times.How may times would Jane expect to roll a number larger that 4?
Answer: 5
Step-by-step explanation:
= P(roll 4) = 1/6
= Expected # of 4 in 30 rolls = (1/6)*30 = 5
Therefor, the answer is 5
~ Hopefully this helps:) Mark me the brainliest:)!!
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Amy has a bowl of cereal for breakfast. the amount of cereal in the box (y) is determined by the number of days (x) that have passed since she purchased the cereal. The graph below shows that this relationship is a linear function. Consider an appropriate domain for this situation. What would be the greatest value for this domain?
I can't upload the graph. It's not working but here are the plotted coordinates:
0,48
1,44
2,40
3,36
4,32
There's no line connecting them.
Answer:
d=[0,12]
Step-by-step explanation:
Answer:
The function is f(4)=32, so the domain is (-infinity,infinty)
The domain is infinty :)
Can anyone help me with these two plz
Answer:
Part 1) The scale factor is [tex]1.5[/tex]
Part 2) The altitude QS is [tex]4\ units[/tex]
Part 3) The scale factor is [tex]\frac{2}{3}[/tex]
Part 4) The value of x is [tex]12\ units[/tex]
Part 5) The perimeter of ABCDE is [tex]46\ units[/tex]
Step-by-step explanation:
Part 1) Find the scale factor of triangle TQR to triangle NQP
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
[tex]z=\frac{NP}{RT}[/tex]
substitute the values
[tex]z=\frac{24}{16}=1.5[/tex]
Part 2) Find the length of the altitude QS
we know that
To find the altitude QS, divide the altitude of triangle NQP by the scale factor
so
[tex]QS=\frac{6}{1.5}=4\ units[/tex]
Part 3) Find the scale factor of FGHJK to ABCDE
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
[tex]z=\frac{AB}{FG}[/tex]
substitute the values
[tex]z=\frac{10}{15}=\frac{2}{3}[/tex]
Part 4) Find the value of x
we know that
The value of x is equal to multiply the length side FK by the scale factor
so
[tex]AE=FK(z)[/tex]
substitute the values
[tex]AE=18(2/3)=12\ units[/tex]
Part 5) Find the perimeter of ABCDE
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of ABCDE
y-----> the perimeter of FGHJK
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=\frac{2}{3}[/tex]
[tex]y=15+9+12+15+18=69\ units[/tex]
substitute the values
[tex]z=\frac{x}{y}[/tex]
[tex]x=(z)(y)=\frac{2}{3}(69)=46\ units[/tex]
Help please I have a final literally tomorrow
========================================================
Work Shown:
2sin^2(x) + cos^2(x)
2sin^2(x) + 1 - sin^2(x) .. see note below
[ 2sin^2(x) - sin^2(x) ] + 1
sin^2(x) + 1
note for step 2 above, I used the Pythagorean trig identity (or a slight variation of it) to replace cos^2(x) with 1-sin^2(x).
The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32
Answer:
x=15/8
Step-by-step explanation:
Inverse variation is given by
xy = k
Substituting x=5 and y=12
5*12 = k
60 =k
Our original equation is xy = 60
Now let y=32
x*32 = 60
Divide each side by 32
32x/32 = 60/32
Divide top and bottom by 4
x = 15/8
Finding the perimeter of each rectangle 96ft width 124ft length
Answer:
440 ft
Step-by-step explanation:
Perimeter(p) of a rectangle is 2l + 2w
Where 'l' is the length and 'w' is the width.
p = 2(96ft) + 2(124ft) = 192 ft + 248 ft = 440 ft
What is the value of x?
Answer: 12
Step-by-step explanation:
You can use what is called geometric mean to solve this.
The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.
You find "X" by using geometric mean and the proportion:
16/X=X/9
Then cross multiply to get 16 x 9= 144
then 144=x²
Solve for X.
X=12
Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).
ANSWER
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)
EXPLANATION
The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).
If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:
[tex](x,y)\to (2x,2y)[/tex]
can be used to obtain the coordinates of
L′M′N.
[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]
[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]
[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]
The cot choice is:
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)
Answer:
A
Step-by-step explanation:
Its the one that mostly makes sense
A jar of peanut butter contains 442 g with a standard deviation of 10.2 g find the probability that a jar contains less than 436 g assume a normal distribution
Answer:
7/34
Explanation:
442 subtract 10.2 is 431.8
436 subtract 431.8 is 4.2.
10.2 times two is 20.4.
4.2 out of 20.4 is 4.2/20.4
4.2/20.4 equals 7/34
What can you say about the yvalues of the two functions f(x)=3^x-3 and g(x)=7x^2-3 please answer
Answer:
Step-by-step explanation:
This question is too general. We can take a look at the behaviors of the two different graphs:
f(x)=3^x-3 is an exponential function whose y-intercept is (0, -2). Note that 3^0 = 1. To draw this function, we'd drawn f(x)=3^x first and then translate the whole graph down by 3 units. The graph appears in Quadrants III, IV and I, in that order.
g(x)=7x^2-3 is not an exponential function, but rather a quadratic whose graph is a parabola. Here the parabolic graph opens up. Its y-intercept is (0, -3). This graph will intersect that of f(x)=3^x-3 in two places.
A: False. It is g that has minimum y value of -3. The minimum y value of f is -2.
B: The smallest y value f can have is just above y = -2. y = -2 is the horizontal asymptote for this function. The smallest y value g can have is -3. So B is False.
C: True. g has the smallest possible y-value; it is -3.
D: True. The min. y-value of g is -3.
Answer: C and D are true
Step-by-step explanation:
A P E X
Pam has monthly mortgage payment of $750. Her annual property taxes are $1200,her PMI is $55/month, and her homeowners insurance is $800 per year. How much is deposited into Pam’s escrow account each month?
Answer:
$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....
Step-by-step explanation:
Pam's annual taxes are $1200 per year. It means her escrow each month needs to have 1/12 of that amount. 1200/12 = $100 per month
Her homeowner's insurance is $800 per year, that's 1/12 of that needs to be in her escrow account each month:
$800 / 12, or $66.67/month.
And PMI is $55/month
Add these three together:
$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....
Anyone wanna do brainliest for brainliest ?
Thank you for giving me brainliest
Answer:
can i have brainliest please? i will do brainliest for brainliest please
For which equation would x = 5 be a solution?
4 x - 7 = 27
3 x + 6 = 21
12 - 2 x = 13
7 + 6 x = 27
Hi, it's me again!
Your answer would be B.
3x + 6 = 21
3(5) + 6
15 + 6
21 = 21
Answer:b is your best bet
Step-by-step explanation:
What outcomes are in A and B?
Answer:
D. Robin, Sparrow, Pelican
Step-by-step explanation:
They are the only animals that can do both
d, they are the only animals that can do both
solve using the substitution method -2x +y=4 y=3x+1
Answer: (3, 10)
Step-by-step explanation:
X=3 y=10
Answer:
x = 3
y = 10
Step-by-step explanation:
Equation (1) : -2x + y = 4
Equation (2) : y = 3x + 1
Substitute (2) into (1):
-2x + (3x + 1) = 4
-2x + 3x + 1 = 4
x + 1 = 4
x = 3
Sub x = 3 into (2):
y = 3(3) + 1
y = 10
What is the product of 2/8 and 3/5?
Multiply the top values together and the bottom values together.
(2/8)*(3/5)
=(2*3)/(8*5)
=6/40
=3/20
Hope this helps!
Answer:
3/20
Step-by-step explanation:
2 3
-- * --- = 6/40, or 3/20
8 5
You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5. Then: 2 times 3 is 6, and 8 times 5 is 40.
Reduce 6/40 to 3/20, your final answer.