Answer:
Lateral surface area of cuboid = 448 ft²
Step-by-step explanation:
Given:
Height of cuboid(h) = 14 ft
Length of cuboid(l) = 9 ft
width of cuboid(b) = 7 ft
Find:
Lateral surface area of cuboid
Computation:
Lateral surface area of cuboid = 2 h(l + b)
Lateral surface area of cuboid = 2(14)(9 + 7)
Lateral surface area of cuboid = 28(16)
Lateral surface area of cuboid = 448 ft²
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!
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
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
need help with this question, i dont think its hard for you.
An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?
Answer:
hope it will help uh.....
Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °
Answer:
y is equal to 50 degrees.
Step-by-step explanation:
The sum of the angles of a triangle is always 180 degrees. To find what y is, subtract 80 from 180 and divide the difference by 2. This will give you 50 degrees.
Answer:
y= 50°
Step-by-step explanation:
∠A =∠B = y. So, ΔABC is an isosceles triangle.
Sum of angles of triangle = 180
∠A + ∠B + ∠C = 180
y + y + 80 = 180 {add like terms}
2y + 80 = 180 {Subtract 80 from both sides}
2y + 80 - 80 = 180 - 80
2y = 100 {divide both sides by 2}
2y/2 = 100/2
y= 50°
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
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.
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?
Answer:
children take 3 pieces of candy are 6
Step-by-step explanation:
x+y=19-1 x+y=18
3x+5y=85-7 3x+5y=78
eliminate x by multiplying the first equation by 3:
3x+3y=54
3x+5y=85 subtract
(3x+3y)-(3x+6y)=54-78
3x-3y-3x-5y=-24
-2y=-24 y=-24/-2=12
y=12 , substitute for y:
x+y=18
x=18-12
x=6
check: 3x+5y=78
3(6)+5(12)=78
18+60=78 correct
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!
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].
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceWhat two numbers multiply to 1/4 and add to -1?
Answer:Are there any options?
Step-by-step explanation:
Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find two numbers whose product is 1/4 and add to -1.
Let the two numbers are x and y.
By given,
Two numbers multiply to 1/4
xy=1/4
Two numbers add to -1
x+y=-1
Let x=-y-1
Substitute in equation 1.
(-y-1)y=1/4
-y²-y-1/4=0
Multiply negative on both sides
y²+y+1/4=0
Use quadratic formula
b=1,c=1/4,a=1
y=-1±√1-1/2=-1/2
Now substitute y in x+y=-1
x-1/2=-1
x=-1+1/2
x=-1/2
Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
To learn more on Equation:
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What is the range of the function shown on the graph above?
Answer:
A.
Step-by-step explanation:
Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.
I'm kind of unsure of my answer, please help me. I appreciate your answers.
Find two consecutive integers whose sum is 113. Which of the following equations could be used to solve the problem?
choices:
2 x + 1 = 113
[tex]x^{2}[/tex] + 1= 113
2 x = 113
2 x + 2 = 113
Answer:
We can call the numbers x and x + 1. Then we can write:
x + x + 1 = 113 which simplifies to 2x + 1 = 113.
Answer:
Hey there!
The correct answer would be x+x+1=113, or 2x+1=113.
Let the smaller number be x, then the larger number would be x+1
Thus, the sum of x and x+1 would be 2x+1.
We have that 2x+1=113.
Now, this is just a simple linear equation we have to solve.
Start by subtracting 1 to get 2x=112
Then, divide by 2 to get x=56
Since x=56, x+1 would be 57.
Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.
Hope this helps :)
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
Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
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
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
find the 7th term of the geometric progression which begins with -6250,1250,-250
Answer:
a₇ = - 0.4
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]
= - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
4x - 1
2.
= x + 7
Can someone help please?
Answer:
6[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
4x-12 = x+7
4x-12+12 = x+7+12
4x = x+19
4x-x = x+19-x
3x=19
x = 6[tex]\frac{1}{3}[/tex]
And if we substitute the value of x into the equation 4x-12 = x+7,
we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.
Hope this helps :)
0.6y + 0.8 = 0.28y + 1.12
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
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.
Learn more about the divide visit:
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Answer:1/2
Step-by-step explanation:
got it right on edge
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats