The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
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Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.
What is the value of y?
Answer:
y = 66
Step-by-step explanation:
Exterior angles thm:
y + y - 31 = y + 35
2y - 31 = y + 35
2y - y = 35 + 31
y = 66
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Where can you buy a ruler that is 3 feet long?
Answer:
At a yard sale
Step-by-step explanation:
A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
Answer:
-7 and - 9
Step-by-step explanation:
Area of rectangule is length *width
Find the area of the trapezoid shown below
Answer:
A=a+b
2h
Step-by-step explanation:
Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?
==========================================================
Explanation:
Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.
term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.
Note how:
10-8 = 22-8 = -6-6-8 = -14-14-8 = -22Below. What is m∠1?
m∠1 =
Answer:
70 degrees
Step-by-step explanation:
help me with this question
Answer:
960 cm³ I think it may be correct
am
Solve the proportion.
14
y +9
10
15
y = [?]
Enter
Answer:
5
Step-by-step explanation:
Answer asap i got school in one hour and forgot to do this (im putting all my points for this)
Answer:
I belive the answer for the first box is 9.67
I belive the answer for the second box is 71.
I hope I helped
does anyone know how to solve this problem?
Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.
Solve the following expression if x = 5 and z = 8. x + (-z)
Answer:
z = 20 , x = 5
Step-by-step explanation:
One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91
Complete question :
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto?
Answer:
$3.458
Step-by-step explanation:
Given that :
Cost per gallon in Buffalo, New York = $2.29
Cost per Litre in Toronto, Canada = $0.91
Number of litres in 1 gallon = 3.8
The cost per gallon in Toronto, Canada will be :
3.8 * cost of a Litre
3.8 * $0.91 = $3.458
Hence, cost of a gallon in Toronto, Canada = $2.73
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere
Answer:
A cylinder
Step-by-step explanation:
When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.
Answer:
CYLINDER
Step-by-step explanation:
Can you please help me out????
Answer: B.) 19.6 feet.
Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.
Label: AC=6 ft, m<A=73° and <C is a right angle.
Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.
Step-by-step explanation:
ello i need help -^-
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
please, help me with this fast!! I'm giving points!!!!
Answer:
Step-by-step explanation:
c circle
1. 20% of 150 is what number?
Answer:
30
Step-by-step explanation:
First, you have to convert 20% into a decimal.
Explanation:
20 ÷ 100 = 0.2
Now multiply 0.2 by 150
Explanation:
0.2 × 150 = 30.
Therefore, 20% of 150 is 30.
Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about
Answer:
100 times
Step-by-step explanation:
you have a 3/6 chance of rolling less than 4 once
so you multiply 3/6 times 200- you get 600/6
you simplify 600/6 to 100
100 times is the answer.
Have a fantasical day.
Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses
define variables and write two equations to model the situation described in the problem
Answer:
pecuniary purveyors organization irreversible
Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290
Answer:
Complementary, x=10
Step-by-step explanation:
Complementary angles mean they add up to 90 degrees.
So 29+(6x+1)=90.
30+6x=90
6x=60
x=10
Answer:
Complementary-------- x= 10
Step-by-step explanation:
only 90 degrees
(6x-1)/2930+6x = 90-----------------------------
3. 6x = 60
=======================
x= 10
“Which one doesn’t belong” Explain.
Answer:
Step-by-step explanation:
im not sure but i think its 5
solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = 3x + 5 → (2)
Substitute y = 3x + 5 into (1)
3x + 5 = 2x + 3 ( subtract 2x from both sides )
x + 5 = 3 ( subtract 5 from both sides )
x = - 2
Substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 2(- 2) + 3 = - 4 + 3 = - 1
solution is (- 2, - 1 )
Find x
Secant tangent angles
ILL MARK BRAINLIEST!!!
Answer:
[tex]x = \frac{50 + 92}{2} = 71[/tex]
The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI
the golden ratio is denoted by which greek letter?
Φ phi
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
Answer:
19.7°
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
We make use of sine rule
TU/sin V = UV/sin U
9.8/sin 90 = 3.3/sin U
Cross Multiply
sin 90 × 3.3 = 9.8 × sin U
sin U = sin 90 × 3.3 /9.8
U = arc sin ( sin 90 × 3.3/9.8)
U = 19.7°
In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.
Answer:
The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857
Step-by-step explanation:
There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52
Therefore the combinations can be written like this 8C5= 56 ways
And the probability this can be chosen is given by
4C3*4C2/8C5
=4*6/56
=24/56
=0.42857
The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56