For the given cube, the length of the diagonal is given by:
[tex]d = \sqrt{27} cm[/tex]
How to find the diagonal of the cube?
For a cube of side length S, the diagonal of the cube is given by the expression:
[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]
In this case, the side length is equal to 3cm, replacing that we get:
[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]
The correct option is the second one, counting from the top.
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Find the sum of the given polynomials. 3x ^2 + 2x - 5 and -4 + 7x ^2
Answer:
[tex] 10 {x}^{2} + 2x - 9[/tex]
Step-by-step explanation:
[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]
Please Help Me Out! I'd Appreciate It So Much! TYSM!
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.
Equation: ?
Total Length of the road after 36 days: ?
Answer:
L = 57 + 4D
After 36 days, the length of the road will be 201 miles.
Step-by-step explanation:
L = 57 + 4(36)
L = 57 + 144
L = 201
In a board game, the player who makes the last move receives a 12-point bonus for ending the game.
Let s represent the score before the endgame bonus and f represent the final score.
Find the value of f when s=10.
f=
When s=10, the value of f is 22.
If s represents the score before the endgame bonus and f represents the final score, and the player receives a 12-point bonus for ending the game, then the relationship between s and f can be expressed as:
[tex]f = s +12\\f = 10 +12\\f= 22[/tex]
Can someone help me with my homework
Answer:
12. 268
13. 417
14. 83
Step-by-step explanation:
Dave says:
No quadrilateral has more than two lines of symmetry.
Is Dave correct?
Explain your answer.
Answer:
No, he is not correct because a square can be split in to 4 equally so thats two lines of symmetry
Also,you can split it diagonally both ways.
Step-by-step explanation:
sorry for bad drawing
No, Dave is wrong.
What is line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half.
What is a quadrilateral?Any figure bounded by 4 sides is called a quadrilateral.
What is a square?Any 2-dimensional figure bounded by 4 sides in which all sides are equal and all the angles are 90° is called a square.
How to know whether Dave is correct or not?Dave said that no quadrilateral has more than two lines of symmetry.
Square is a quadrilateral ;which has 4 lines of symmetry.It will be clear from the image below.So, the statement of Dave is wrong.
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Find the volume of the sphere
A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
A) 21
B) 33
C) 54
D)
21
2
Answer:
33
Step-by-step explanation:
Usatestprep
The length of AC is 33. The correct option is B) 33
The diagram that illustrates the question is shown in the attachment below:
From the question,
We are to determine the length of AC.
To determine the length of AC,
First, we will determine the value of x.
From Triangle proportionality theorem,
We have that
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Then, from the diagram, we can write that
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
Now, we will solve for x
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
This becomes
[tex]x(x-3) = (x-7)(x+12)[/tex]
Clearing the brackets
[tex]x^{2} -3x = x^{2} +12x-7x-84[/tex]
Simplifying, we get
[tex]x^{2} -3x = x^{2} +5x-84[/tex]
Subtract x² from both sides
[tex]x^{2}-x^{2} -3x = x^{2}-x^{2} +5x-84[/tex]
[tex]-3x = 5x-84[/tex]
Then, subtract and 5x from both sides
[tex]-3x-5x = 5x-5x-84[/tex]
[tex]-8x = -84[/tex]
Now, divide both sides by -8
[tex]\frac{-8x}{-8}=\frac{-84}{-8}[/tex]
∴ [tex]x = 10.5[/tex]
From the diagram, we can observe that the length of AC is
AC = x +12 +x
Put the value of x into the above equation
That is,
AC = 10.5 + 12 + 10.5
∴ AC = 33
Hence, the length of AC is 33. The correct option is B) 33
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what is the slope of y+3=−4(x+7)
A
−1
B
−2
C
-1/2
D
1
What is the m∠1? 21° 42° 71° 82°
Answer:
The correct answer is 71, correct on e d g e n u i t y.
Step-by-step explanation:
Can i please get brainlist?
The measure of ∠1 in the diagram is 71 degrees.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram,
63 + (15x - 3) = 180° (sum of angles on a straight line)
15x = 120
x = 8
m∠1 = 8x + 7. (opposite angles are equal)
m∠1 = 8(8) + 7 = 71°.
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What is the equation of the following graph in vertex form?
y = (x − 2)2 + 1
y = (x − 1)2 + 2
y = (x + 2)2 + 1
y = (x + 2)2 − 1
Answer:
y = (x- 2)^2 + 1
Step-by-step explanation:
Because the vertex is at (2, 1)
so the equation is y = (x- 2)^2 + 1
Lily sells bracelets. For each bracelet she sells she gets $4. She went to a craft show and sold 67 bracelets. How much money did she make?
Answer:
67x4=268
Step-by-step explanation:
268
Answer:
268
Step-by-step explanation:
67×4= 268
use a calculator to multiply
Solve the system of equations. y= 2x -3 y= x^2 -3
Answer:
(0, - 3 ) and (2, 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
Answer:
(0, - 3 ) and (2, 1 ) 100% correct
Step-by-step explanation:
A graph has quantity on the x-axis and price on the y-axis. Demand curve points are at (20, 70), (40, 40), (60, 10).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (20, 70), (40, 80), (60, 90). Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium? a. 100 b. 70 c. 40 d. There is not enough information given to determine the point of equilibrium.
Answer:
B) 70
Step-by-step explanation:
Answer:
I think it is 70
Step-by-step explanation:
a pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. can the cook at pizzeria make 12 pizzas without refilling the canister?
the canister holds cups and they need cups of flour to make 12 pizzas?
Answer:
The cook CANNOT make 12 pizzas without refilling the canister
Step-by-step explanation:
Please see the attached files for explanation
The pizzeria cook can make 12 pizzas without refilling the flour container.
The pizzeria stores flour in a 5-gallon container. Each pizza uses 7 cups of flour. To determine if the cook can make 12 pizzas without refilling, we need to calculate if 5 gallons of flour is enough.
Calculation:
5 gallons = 640 cups (since 1 gallon = 128 cups)
12 pizzas x 7 cups/pizza = 84 cups needed for 12 pizzas
Since the canister holds 640 cups and only 84 cups are needed for 12 pizzas, the cook can indeed make 12 pizzas without refilling.
Plz help if u understand!?
Answer:
26.08
Step-by-step explanation:
Answer:
26.08
Step-by-step explanation:
You need to use pythagorean formula. a^2 + b^2 = c^2
since b and c are the farthest you plug in you numbers
22^2 + 14^2 = 680^2
690^2 = about 26.08 miles
hope this helps!
Please help with this. Thank you
Answer:
the answer os
Step-by-step explanation:
i m only n 5th grade
whats the answer can u please solve it.
Answer:
daaang thats hard
wow :/Step-by-step explanation:
Answer:
C
Step-by-step explanation:
in the november section, 25% is cut.
hope this helps :)
X- 0,1,2,3 Y- 3,4,11,18. Which linear equatio represents the data given in the table? A) y = 3x + 7 B) y = 7x + 3 C) y = 3x - 7 D) y = 7x - 3
Answer:
Actually change the answer is y = 7x - 3. The other one is wrong I just finished and it gave me the correct answer.
Step-by-step explanation:
This is because she/he forgot to add negative 3 in the y section which made alot of yall think that everything was positive. It was originally -3 and if you need more explination dm me. New Table : X- 0 ,1 ,2 ,3 Y- -3 ,4 ,11 ,18
An exponential function is written y=a(b^x) Which variable determine if the function is increasing or decreasing?
1. a
2. b
Answer:
b
Step-by-step explanation:
if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per
cubic meter.
How many fish can Alvin get, at most?
Answer:
Step-by-step explanation: The answer is 2 fish
Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
To find out how many guppy fish Alvin can get for his water tank, we need to calculate the volume of the tank first. Given that the tank is prism-like with a base area of 0.9 square meters and a height of 0.6 meters, we can use the formula for the volume of a prism:
Volume = Base Area × Height
Substituting the given values:
Volume = 0.9 m² × 0.6 m
Volume = 0.54 cubic meters
Now, since the pet store owner advised Alvin not to exceed a density of 5 fish per cubic meter, we can calculate the maximum number of fish Alvin can get by multiplying the volume of the tank by the maximum density:
Max number of fish = Volume × Maximum density
Max number of fish = 0.54 m³ × 5 fish/m³
Max number of fish = 2.7 fish
However, since we can't have a fraction of a fish, Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
With which values of the argument the function acquires a value equal to144
[tex]y = \frac{1}{9x {}^{2} } [/tex]
Answer:
[tex]x=\frac{1}{36} \, \,and\,\, x=-\frac{1}{36}[/tex]
Step-by-step explanation:
To find at which values of the argument the function renders 144, we need to solve for "x" in the equation when y is 144:
[tex]y=\frac{1}{9\,x^2}\\144=\frac{1}{9\,x^2}\\144\,x^2=\frac{1}{9} \\x^2=\frac{1}{9\,(144)} \\x^2=\frac{1}{1296} \\x=+/-\sqrt{\frac{1}{1296} } \\x=+/-\frac{1}{36}[/tex]
Therefore there are two solutions: one is 1/36 and the other one is its opposite; -1/36
Answer:
Step-by-step explanation:
hello :
solve : 1/9x² = 144
x² = 144×9
x² =(12×3)² means : x² =36²
so : x=36 or x= -36
A freight elevator has a maximum weight limit of 3,200
pounds. The elevator is being loaded with crates that each
weigh 300 pounds. The forklift being used to move the
boxes weighs 175% as much as one crate. How many
crates can fit onto the freight elevator? Select all that
apply.
A. 6 crates
B. 8 crates
C. 10 crates
D. 12 crates
Answer:
A and B
Step-by-step explanation:
Firstly you must establish the weight of the forklift.
You can do this by multiplying 300 by 1.75
This is 525 pounds
Now subtract 525 from 3200
This gives you 2675
Now you must Divide 2675 by 300
Then round down to find out the total number of crates that can be loaded
This is 8
So the Answer is A and B
The maximum number of crates that can fit onto the elevator is 8, given the weight constraints. Here option B is correct.
Maximum weight limit of the elevator = 3,200 pounds.
Weight of each crate = 300 pounds.
Weight of the forklift = 175% of the weight of one crate = 1.75 * 300 = 525 pounds.
To find out how many crates can fit onto the elevator, we need to consider both the weight of the crates and the weight of the forklift.
Let's denote the number of crates as x. The total weight on the elevator can be represented by the equation:
300x + 525 ≤ 3200
Solving for x:
300x + 525 ≤ 3200
300x ≤ 2675
x ≤ 8.92
Since we can't have a fraction of a crate, the maximum number of crates that can fit onto the elevator is 8. Here option B is correct.
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What is the degree measure of s? A) 106° B) 122° C) 131° D) 151°
Answer:
I need an angle to find the degrase.
Answer:
D)151
Step-by-step explanation:
61° + 90° = 151°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
A solution to a system of two linear equations is where they intersect
A. Always
B. Sometimes
C. Never
A. Always
Two lines don't always intersect, but the solutions are always where they intersect.
Two students will be chosen at random from 8 boys and 12 girls. What is the probability that a boy then a girl will be chosen? Remember to simplify your fraction! *
4 points
Answer:
boys + girls = 20
boys 2/20 girls 2/20 but if boy and girl are chosen it is a 1/20 chance of boy and girl are chosen so 2/20 =1/10
Step-by-step explanation:
Which is the graph of the exponential function y = 0.5(0.5)^x?
Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Step-by-step explanation:
the third pic
The answer is graph 3.
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = ax. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
What are the exponential function and examples?Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base, and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.
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A=1/2 h(b+c) solve for b
Answer:
b = [tex]\frac{2A-hc}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] h(b + c)
Multiply both sides by 2 to clear the fraction
2A = h(b + c) ← distribute
2A = hb + hc ( subtract hc from both sides )
2A - hc = hb ( divide both sides by h )
[tex]\frac{2A-hc}{h}[/tex] = b
can someone help pleaseee i will give brainlyest
Answer:
the last option = 103 ft
Step-by-step explanation:
It is in the ratio of
1 : 30
Multiply each side by 5.5
5.5 : 165
convert 165 inches to feet
13.75
1 : 30
multiply each side by 3
3 : 90
convert 90 inches to feet
7.5
since it is asking for the area multiply 13.75 ft and 7.5 feet
13.75 * 7.5 = 103 ft
The magnitude, M, of an earthquake is defined to be
, where / is the intensity of the earthquake (measured by the
amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the
magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to
the nearest tenth.
-1.5
-0.5
1.5
3.6
Answer:
1.5
Step-by-step explanation:
The magnitude, M, of an earthquake is defined to be
M = log l/s
where I is the intensity of the earthquake and s is the intensity of a “standard” earthquake.
If an earthquake that is 35 times more intense than a standard earthquake, then l/s = 35. Replacing it in the equation:
M = log 35 = 1.5
Answer:
its c my dude 1.5
Step-by-step explanation:
Sean needs to figure out how much paint he needs in order to cover all of the sides of his ramp. what is the surface area of the ramp?
a) 102 cm2
b) 210 cm2
c) 258 cm2
d) 432 cm2
Answer:
210
Step-by-step explanation:
find the area of each rectangle and add it to the area of both the triangles
9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2
The surface area of the ramp will be 210 square cm. Then the correct option is B.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
Sean must determine how much paint he will use to cover all of the edges of his ramp.
The surface area of the ramp is calculated as,
SA = (8 x 6) + (5 + 6 + 7) x 9
SA = 48 + 18 x 9
SA = 48 + 162
SA = 210 square cm
The surface area of the ramp will be 210 square cm. Then the correct option is B.
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