Answer:
D. The volume is the product of the area of the base, (2x - 1)(x - 3), and the height x + 4.
Step-by-step explanation:
Volume of a Rectangular Block: V = lwh
Since we are given variables l, w, and h, we simply plug them in:
V = (2x - 1)(x -3)(x + 4)
We can see that we would need to multiply all 3 to find our volume. Therefore, our answer is D.
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?
Answer:
24 feet
Step-by-step explanation:
12 ÷ 18=16/y
2y=3*16
y=24
Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?
Answer:
5,615 km.
Step-by-step explanation:
The first flight, she traveled for 3 hours at a speed of 625 km/h.
[tex]\frac{625}{1} =\frac{x}{3}[/tex]
x = 625 * 3
x = 1,875.
The first flight, she traveled 1,875 km.
The second flight, she traveled for 4.25 hours at a speed of 880 km/h.
[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]
x = 880 * 4.25
x = 3,740.
The second flight, she traveled 3,740 km.
So, in total, she traveled 1875 + 3740 = 5,615 kilometres.
Hope this helps!
can someone please help me
Answer:
C. Adding 18 to both sides isolates the variable term
Step-by-step explanation:
We can get rid of A and C because we can clearly see that we are adding, not subtracting.
The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.
The table below shows some inputs and outputs of the invertible function f with domain all real numbers. NEED HELP NOW!!!!!
Answer:
( 1 ) [tex]f^{-1}(f(576)) = 576[/tex],
( 2 ) [tex]f^{-1}(-7)+f(-7) = 13[/tex]
Step-by-step explanation:
Taking the function and it's inverse, it should be the following property -
[tex]f^{-1}(f(x))= x[/tex] - this therefore makes the functionality " [tex]f^{-1}(f(576))= x[/tex] " equivalent to 576 itself.
For this second part here let's consider the portion " [tex]f(-7)[/tex] " firstly. As you can see from the table, - 7 should represent the x - value, hence [tex]f(-7) = 7[/tex]. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, [tex]f^{-1}(-7) = 6[/tex].
This would make [tex]f^{-1}(-7)+f(-7)[/tex] = [tex]7+6[/tex] = 13.
ANSWER
Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3
The scale factor of the dilation shown in the diagram 2.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The image and pre image are shown in figure.
Now, We know that;
The basic formula to find the scale factor of a dilated figure is,
⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Substitute the given values, we get;
⇒ Scale factor = 6 / 3
⇒ Scale factor = 2
Thus, The scale factor of the dilation shown in the diagram 2.
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Answer:1/2
Step-by-step explanation:
got it right on edge
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
1) Point M divides line segment AB, in the direction from A to B. in a ratio of 4 to 9. What value on the number line
would indicate the location of point M?
Answer:
Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
Two points A and B have been given on a number line.
Point A is at -3 and point B at 7.
Distance between these points AB = 7 - (-3)
= 7 + 3
= 10 units
Another point M divides the given segment AB in the ratio of 4 : 9.
Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]
= [tex]\frac{40}{13}[/tex]
= [tex]3\frac{1}{13}[/tex] units
Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]
Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Use each of the digits 2,4,6 and 7 to make this calculation correct ?.?+?.?=10
Answer:
2.6+7.4 or 2.4+7.6
Step-by-step explanation:
Both of the above equals to 10!
Do 26 and if u want to do 27 too I’ll give Brainlynest
Answer:
26) translation: (x - 4, y + 3)
27) see down below
Step-by-step explanation:
26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).
27)
<1 = 135
<2 = 45
<3 = 45
<4 = x = 20
<5 = 135
<6 = 45
<8 = 135
solve 2x - 1/5 + 2x - 19.6
Answer:
x = 4.95
Step-by-step explanation:
4x - 19.8 = 0
4x = 19.8
x = 4.95
The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the prism. What is the volume of the pyramid?
Answer:
The volume of the pyramid is 80 cubic centimeters.
Step-by-step explanation:
As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.
Answer:
80 cubic centimetres
Step-by-step explanation:
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Here, we know that the prism's volume is 240, so lwh = 240.
The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.
We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:
V = (1/3) * lwh
V = (1/3) * 240 = 80
The answer is thus 80 cubic centimetres.
~ an aesthetics lover
When hourly employees work beyond 40 hours in a week, federal law requires that they receive __________ pay. A. commissioned B. exempt C. overtime D. salaried Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation:
Answer:
Answer: D
Step-by-step explanation:
5 The absolute value of 9 is 9.
O True
O False
Answer:
True
Step-by-step explanation:
The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.
need help with this question, i dont think its hard for you.
Only answer if you are sure thanks!
Answer:
B. (0,0)
Step-by-step explanation:
Answer:
B. (0, 0).
Step-by-step explanation:
The parent function is y = x^2.
The vertex is at the minimum value of this, that is when x = 0 and y = 0.
PLEASE I REALLY NEED HELP What differences are there on the graph of f(x)=2x to the graph of h(x)=2x-3?
Answer:
The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis
explain how to solve 2x+9=15
Answer:
I hope it will help you :)
Linear Equations HELP ASAP
Answer: D) y = -1/4x + 6
Step-by-step explanation:
First turn the equation into slope-intercept form: y = 4x + 6
For a line to be perpendicular to another line, it's slope must be the opposite reciprocal of the other perpendicular line. Thus, the slope of the perpendicular line is -1/4. As the y-intercept of the line is (0,6), the lines must intersect as (0,6). Thus, the other line must also have a y-intercept of 6. Thus, the answer is D.
Hope this helps <3
x = 2y - 3 & 3x - 7y = -14
Answer:
(7, 5)
Step-by-step explanation:
You can solve by substitution
3(2y - 3) - 7y = -14
6y - 9 - 7y = -14
-y - 9 = -14
-y = -5
y = 5
x = 2(5) - 3
x = 7
Answer:
(7, 5).
Step-by-step explanation:
x = 2y - 3
2y = x + 3
y = x/2 + 3/2
3x - 7y = -14
-7y = -3x - 14
y = 3/7x + 2
3/7x + 2 = 1/2x + 3/2
6/14x - 7/14x = 1.5 - 2
-1/14x = -1/2
1/14x = 1/2
x = 7
7 = 2y - 3
2y = 10
y = 5
3 * 7 - 7 * 5 = 21 - 35 = -14
Since this works, your answer will be (7, 5).
Hope this helps!
The ant repeats the two steps 7 times going around the polygon until it reaches its starting position .the ant makes one complete revolution (360 degree) to draw this regular 7 sided polygon. The value of A correct to 1 decimal place is ____________
Answer:
(C)51.4 degrees
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).
Given a regular polygon, the sum of each exterior angle is calculated using the formula:
[tex]\dfrac{360^\circ}{n}[/tex] where n is the number of sides.
The regular polygon shown made by the ant has 7 sides.
Therefore:
Each exterior angle [tex]=\dfrac{360^\circ}{7}=51.43^\circ[/tex]
Therefore:
The value of A correct to 1 decimal place is 51.4 degrees.
The correct option is C.
Answer:
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
Step-by-step explanation:
Given information:
The ant repeats the two steps 7 times going around the polygon
The sum of the exterior angle of polygon is [tex]360^o[/tex]
The formula for the exterior angle is
[tex]= 360/n[/tex]
Here,
[tex]n=7[/tex]
Hence, the Value of A will be
[tex]A=360/7\\A=51.4^o[/tex]
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
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What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1
Let us take the 2nd equation.
x + 2z = 4
x = 4 - 2z
Let us substitute this value of x in equation 1.
5x + 2y + z = 4
5(4-2z) + 2y + z = 4
20 - 10z + 2y + z = 4
2y - 9z + 20 = 4
2y = 9z - 16
y = (9z - 16)/2
Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.
2x + y - z = -1
2(4-2z) + (9z-16)/2 + z = -1
8 - 4z + (9z/2) - 8 + z = -1
Let us multiply both sides of this equation by 2.
16 - 8z + 9z - 16 + 2z = -2
3z = -2
z = [tex]\frac{-2}{3}[/tex]
x = 4 - 2z
= 4 + [tex]\frac{4}{3}[/tex]
= [tex]\frac{16}{3}[/tex]
y = (9z-16)/2
= ([tex]\frac{-18}{3}[/tex] - 16)/2
= ( [tex]\frac{-66}{3}[/tex])/2
= -22/2
= -11
Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].
A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance
Answer:
average speed = 8y/s
Step-by-step explanation:
What is the player's average speed over this distance ?Formula
s = d/t
d = 40 yards
t = 5 seconds
s = 40y/5s
= 8y/s
Ronald ran 6 laps in 12 minutes. Which ratio can be used to find the number of laps that Ronald ran in 1 minute?
Answer:
6/12
Step-by-step explanation:
Got it right on test
Answer: 6 / 12
Step-by-step explanation: I took the test 2 hours ago xD
An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:18 16
Answer:
Radius of the cone = 16 m
Step-by-step explanation:
Slant height of the cone 'l' = 5 m
Curved surface area of the cone is represented by the formula,
Curved surface area = πrl
Here r = radius of the circular base of the cone
l = slant height of the cone
By putting the values in the formula,
251 = πrl
251 = πr(5)
r = [tex]\frac{251}{5\pi}[/tex]
r = 15.979
r ≈ 16 m
Therefore, radius of the given cone will be 16 m.
what are the points of intersection of -x^2+9x-3 and y=3x
Answer:
Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.
Alternatively, you can use substitution to solve for your answer.
Step-by-step explanation:
translate 22% of b into an expression
Answer:
11/50b
Step-by-step explanation:
22% of b = 22/100×b
= 11/50b
X= 3y-5
2x + 12y = -4
This is a system of equations can somebody solve it you can use any method
Answer:
x = -4, y = 1/3
Step-by-step explanation:
=> x = 3y-5 (Equation 1)
=> 2x+12y = -4 (Equation 2)
Putting (1) in (2)
=> 2(3y-5)+12y = -4
=> 6y-10+12y = -4
=> 18y = -4+10
=> 18y = 6
Dividing both sides by 18
=> y = 6/18
=> y = 1/3
Putting y = 1/3 in Equation 1
=> x = 3(1/3)-5
=> x = 1-5
=> x = -4
you are riding the bus to school and you realize it is taking longer because of all the stops you are making
Answer:
Clearly, the answer is 17, because the difference in speed between a direct trip and one with the various stops of the bus is 46 hours and 6 minutes. However, rounding to the nearest hour, it is 46 0/2 hours, or 46 hours. Thus, accounting for the varying lack of stop signs, you can distribute the range of children and therefore extended breaks, allowing you to bring the time down to 16. However, if you translate hours to minutes on a broken calculator you get 14. So, the answer is 14
Brainliest??
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?
Answer:
320°
Step-by-step explanation:
Part 1
The arc length is given by ...
s = rθ . . . . . r is the radius, θ is the central angle in radians
We want to find θ, so we can fill in the given values and divide by the coefficient of θ.
8π = 4.5θ
θ = 8π/4.5 = 16π/9 . . . radians
Since π radians = 180°, the degree measure of the angle is ...
θ = (16/9)180° = 320°
The measure of the angle subtended by the arc is 320°.
_____
Part 2
We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.
WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A =
Answer:
area: 27
Step-by-step explanation:
Sides: a = 10.296 b = 14.213 c = 6
The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).