Answers
Answer:
The length of the diagonal is 8.3
Step-by-step explanation:
The formula for finding the length of the diagonal in rectangular prism is:
d = √[tex](l^{2} + w^{2} + h^{2})[/tex]
"l" represents the length which is 7
"w" represents the width which is 4
"h" represents the width which is 2
Substitute the values to the formula.
d = √([tex]7^{2} ) + (4^{2} ) + (2^{2} )[/tex]
d = √49 + 16 + 4
d = √65 + 4
d = √69
Find the square root of 69 using calculator.
d = 8.30662386292
The direction said round the answer to the nearest tenth. So the answer must be 8.3
Related Questions
Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?
Answers
Answer:
He has 31 students
Step-by-step explanation:
You know this because 49.6 ÷ 1.6 = 31
If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.
Answers
Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)
Answers
Answer:
try kopo
Step-by-step explanation:
55+1200+300=1555
Answer:
Step-by-step explanation:
start by graphing it (see picture)
formula for a parabola: y=ax²
using the coordinates (600,55) we get
55=a*600²
a=55/(600²)
so now it's just a matter of plugging in 300 for x
(55/600²)*300²= 13.75
A toy factory makes toys that are sold for $10 a piece. The factory has 40 workers, and they each produce 25 toys per day. The factory is open 5 days a week. What is the total value of toys the factory produces in a day?
Answers
Answer:
The total value of toys the factory produces in a day is $10,000.
Step-by-step explanation:
One Toy = $10
Workers = 40
Toys Made By Each Worker Per Day = 25
The factory makes 1,000 toys per day and 5,000 toys per week. Each toy has a value of $10 so the value of toys in one day would add up to $10,000. The toy factory would also make $50,000 a week.
in which country has involved in world war
Answers
Answer:
The following countries were involved in the world warGermany
Austria-Hungary
Bulgaria
Ottoman Empire (the Central Powers)
These countries fought againstGreat Britain
France
Russia
Italy
Romania
Japan
United States (the Allied Powers).
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Answers
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
The number of pages that Rick can write varies directly with the amount of the time that he spends writing. He can write 5 pages in 1/4 hour. How many pages can Rick write in 8 hours?
Answers
Step-by-step explanation:
How many pages can Rick write in 8 hours
= 5 pages / 1/4 hour
= 20 pages / hour
= 20 × 8 / 8 hours
= 160 pages / 8 hours
So, Rick can write 160 pages in 8 hours
Can someone please help me I will mark u brilliant
Answers
Answer:
-1/7
Step-by-step explanation:
1/5 · (-2/7) = -2/35
= -2/35 · 5/2 = -10/70
simplified -10/70
-1/7
If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost?
Answers
Answer:
See below:
Step-by-step explanation:
So we know that an apple and 3 bannans are dollar 2.50
We also know that 2 apples and 5 bannanas are dollar 4.50.
Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.
Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)
Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.
3*1 + 3*2 = 2*3
3a + 6b = 6 dollars.
The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.
Given :
An apple and 3 bananas cost $2.50.2 apples and 5 bananas cost $4.50.Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:
x + 3y = 2.5 --- (1)
The cost of 2 apples and 5 bananas is given by the equation:
2x + 5y = 4.5 ---- (2)
Now, solve the equation (1) for 'x'.
x = 2.5 - 3y --- (3)
Now, put the value of 'x' in equation (2).
2(2.5 - 3y) + 3y = 4.5
5 - 6y + 3y = 4.5
0.5 = 3y
[tex]y = \dfrac{1}{6}[/tex]
Now, put the value of 'y' in the equation (3).
[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]
x = 2
Now, the cost of 3 apples and 6 bananas will be:
[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]
So, the cost of 3 apples and 6 bananas is $7.
For more information, refer to the link given below:
https://brainly.com/question/13911928
(–5, 2) and (3, r) has slope of 1/2
Answers
Answer:
value of r is 6
Step-by-step explanation:
Given that the slope is 1/2
So we can set up the linear equation like this:
y= 1/2x + b
Since it also goes through (-5, 2)
plug in:
[tex]2 = \dfrac12*-5 + b\\b=2 +2.5 = 4.5\\y = \dfrac12x +4.5[/tex]
Then we plug in x=3 to find out the value of r
[tex]r = \dfrac12*3+4.5=1.5+4.5=6[/tex]
what is the area of triangle
Answers
Answer:
24
Step-by-step explanation:
S = ½ × 12 × 4
S = 24
._._._._._._.
-Given the nth term, 3n -4n^3 find sum to n term
Answers
Answer:
ans is -n(4n2-3)..........
Solve 2/v + 1/w = 1/2 for v
Answers
Answer:
v=(-4w)/(-w+2)
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Answers
The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:
a) The value of a = -2000
b) The maximum profit the company can make = $5,000,000
To make maximum profit, 150 computers must be produced
c) The company must produce between 140 and 160 computers to make at least $4,800,000
The equation representing the company's profit is:
y = a(x - 100)(x - 200) for x > 20
If 120 computers are produced, the profit will be $3,200,000
That is, y = 3,200,000 if x = 120
a) Find the value of a
3,200,000 = a(120 - 100)(120 - 200)
3200000 = -16000a
a = -3200000/1600
a = -2000
b) Maximum profit the company can make
The equation becomes:
y = -2000(x - 100)(x - 200)
y = -2000(x² - 200x - 100x + 20000)
y = -2000(x² - 300x + 20000)
y = -2000x² + 600000x - 40000000
dy/dx = -4000x + 600000
dy/dx = 0 at maximum value
-4000x + 600000 = 0
4000x = 600000
x = 600000/4000
x = 150
To make maximum profit, 150 computers must be produced
Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit
y = -2000(150²) + 600000(150) - 40000000
y = 5000000
The maximum profit the company can make = $5,000,000
c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000
-2000x² + 600000x - 40000000 ≥ 4800000
-2000x² + 600000x - 40000000 - 4800000 ≥ 0
-2000x² + 600000x - 44800000 ≥ 0
Divide through by -2000
x² - 300x +22400 ≤ 0
(x - 140)(x - 160) ≤ 0
140 ≤ x ≤ 160
The company must produce between 140 and 160 computers to make at least $4,800,000
Learn more here: https://brainly.com/question/25471478
If the Mac and cheese is 7.50 for 3 lbs how much can you get for 29 dollars?
Answers
Answer:
6lbs
Step-by-step explanation:
7.50 can only go into 20, two times
7.50
× 2
-------
15.00
epic gamer question i'll mark brainliest
Answers
Answer:
I think it is parallel
Step-by-step explanation:
Tim has 2/3 cup of chocolate syrup. If he uses 1/9 cup of chocolate syrup for each serving of chocolate milk, how many servings of chocolate milk can he make
Answers
Answer:
6 servings
Step-by-step explanation:
Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]
[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]
= 2 *3
= 6
Find the difference (10j-7)-(-9j+2)
Answers
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
If a course starts September 2022,and last for three years, what year would it end.
Answers
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answers
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green
30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?
A. 20
B. 65
O O
C. 50
Answers
Answer:the answer is 50
Step-by-step explanation:
75-140=65
65-45=20
75-35=45
45+45=90
30+20=50
In total there are 50 GREEN JOLOS I couldn’t get the answer myself so I sat down and actually wrote the problem out I’m taking a exam so I’ll let you guys know if it’s accurate.
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answers
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
four and three sevents plus six and one fith.
Answers
You could find a common denominator or use a calculator
describe using their angles please
Answers
Answer:
equilateral triangle is a triangle in which all 3 sides have the same length
Solve 8T 1398lb 14oz * 6
Answers
this is soo funny
haha thanks for the points
Part 1
Rita hires 12 models for the show from an agency
she pays each model a fee of £130
the agency charges Rita 15% of the fee she pays each model
Rita thinks thr agency will charge her a total of less then £240
is Rita correct?
show why you think this
part 2-
Rita buys hair and makeup products for the show
the total cost of the products she buys is £43
Rita gets a discount of 1/5 of the total cost
what is 1/5 of £43?
Answers
130 x 12=1560
15% of 1560= $236. So Rita is correct.
Part 2
1/5 of 43 is 8.6 because 8.6 x 5=43
Find the Simple Linear Regression Formula of the data set shown below: (10pts)
Where the monthly e-commerce sales is Y and online advertising costs X.
Note: Round off your answers to two decimal places. No spaces in between characters.
Example format for the Final answer: y=36.11x+23.22
Answers
Uisng technology, such as a linear regression calculator or excel , the linear equation in slope - intercept format which models the data is 171.47x - 125.83
The relationship between advertising cost and e-commerce sales is positive which can be inferred from the positive value of the slope which models the data. Also, since, the correlation Coefficient is high, we can expect to have a high e-commerce sales whenever, the advertising cost is high.
Therefore, the linear regression equation is 171.47x - 125.83
Learn more : https://brainly.com/question/18405415
Can someone tell me what the evaluated answer is?
Answers
Answer:
16) 7⁻²
17) -1⁻²
Step-by-step explanation:
plug in the x=, y=, and n= into the equation.
For f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)
Answers
Answer:
f(3) = 1/(3)^2-3
Step-by-step explanation:
To solve for when x=3, we simple replace x with 3
f(3) = 1/(3)^2-3
express 1 000 000 in standard form
Answers
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.
