g (1 point) Find the angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answers
Answer:
Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to [tex]0.6155[/tex] radian
Step-by-step explanation:
Please see the attached image for better understanding
Length of OB is equal to
[tex]\sqrt{19^2 + 19^2 }[/tex]
[tex]19\sqrt{2}[/tex]
Now the length of OE is equal to
[tex]\sqrt{19^2 + 19^2 + 19^2 } = 19 \sqrt{3}[/tex]
Now Angle BOE is equal to
[tex]cos^{-1} (\frac{722}{19\sqrt{2}* 19\sqrt{3} }) = 0.6155[/tex] radians
Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to [tex]0.6155[/tex] radian
Related Questions
what is 50(4+6)?
πωπ
Answers
Step-by-step explanation:
50(4+6)=500
hope it helps you get
how many units apart are (-1,4) and (2,-1)
Answers
Answer:
Those points are [tex]\sqrt{34}[/tex] units apart.
For each of the following statements, construct an open sentence P (x), P (x, y), or P (x, y, z), where x, y, z are variables, such that for some choice of values of the variables we obtain the original statement and for a different choice of values of the variables, it is possible to obtain a statement whose truth value is different than the original statement.
a. The square of 3 is larger than the cube of 2.
b. 4.3 + 8 = 30.
c. The population of Manitoba is larger than the population of Winnipeg.
Answers
Answer:
a.)
Open statement : P(X,Y) = The square of X is larger than the cube of Y.
b.)
Open Statement : P(X,Y,Z) = X.Y + 8 = Z.
c.)
Open Statement : P(X,Y) = The population of X is larger than the population of Y.
a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries
Answers
Answer:600
Step-by-step explanation:
20 points Which of the following is NOT an advantage of using wind turbines to generate wind power? Wind turbines are not suitable for all geographical locations. O Wind turbines are affordable. Wind turbines do not emit carbon dioxide and do not require sunshine. O Wind turbines cause little disruption of ecosystems.
Answers
the first one is the answer
5
Find the measure of each missing angle in the following regular heptagon. Round your
Answer to the tenths.
Answers
Answer:
51.4
Step-by-step explanation:
when you have a regular polygon, all sides are equal and all angles are equal. Regular polygons automatically equal 360.
A heptagon has 7 sides so divide 360 by 7.
you get 51.4, that's your answer.
I NEED THE CORRECT ANSWER TO THIS ASAP!!!!!!!!!!!!!!!!!!
Answers
Answer:
15
Step-by-step explanation:
help asap please!!snnsjababeushbeebhd
Answers
What is 17/32 as a decimal?
Answers
Answer:
.53125
Step-by-step explanation:
17 ÷ 32
plz help it's urgent
A museum has 80 African baskets. Which
list shows all the different possible
arrangements so that all the rows have
the same number? Assume that an
arrangement such as 4 20 is the
same as 20 4.
A 1 80; 4 20; 8 10
B 1 80; 2 40; 4 20; 5 16; 8 10
C 2 40; 5 16; 8 10
D 2 40; 4 20; 5 16; 8 10
Answers
Answer:
D 2 40; 4 20; 5 16; 8 10
Step-by-step explanation:
Given
[tex]Baskets = 80[/tex]
Required
Arrange in rows and columns
To do this, we simply list out the multiplied factors of 80.
So, the arrangement is as follows:
[tex]1: 2 * 40[/tex]
[tex]2: 4 * 20[/tex]
[tex]3: 5 * 16[/tex]
[tex]4: 8 * 10[/tex]
Hence, (d) is correct
Use the ordered pairs shown in the table below.
X:20,30,40,50
Y:30,45,60,75
which equation represents the data in the table?
A: y=1.5y
B:x=1/3y
C:x=1.5y
D:y=2/3x
Answers
Answer:
A.
Step-by-step explanation:
if you multiply 20 times 1.5 you get 30. If you multiply 30 times 1.5 you get 45. If you multiply 40 times 1.5 you get 60. If you multiply 50 times 1.5 you get 75 . meaning that y equals 1.5
Emily went to a store to buy beads for her necklace. the red (R)beads cost $0.05 per bead, the blue (B) cost $0.15 per bead. the green (g) bead cost $0.25 ped bead. How much will it cost if Emely buys 4 read beads, 5 blue bead and 3 green beads
Answers
Answer:
R=20cents
B=75cents
G=75 cents
$1.70
Name an angle supplementary to AOB
PLS HELP ASAP ILL MARK U BRAINLEST
Answers
Answer:
I believe its DOB, I'm sorry if I'm wrong
Step-by-step explanation:
need help on my hw rip me
Answers
Answer:
pretty sure its the first one
Step-by-step explanation:
Answer:
x<6
Step-by-step explanation:
its an open dot. this means 6 isn't part of the inequality.
A water pipe is 3 feet below the ground. A gas pipe is 8 feet below the ground. Which pipe is
higher? EXPLAIN YOUR ANSWER
Answers
3 feet is less than 8 feet so if you go down 8 feet it would be deeper than 3 feet making the water pipe higher.
1. (f + h)(x)
if f(x)= x
Answers
Answer:
not enough info
Step-by-step explanation:
f(x) = x is fine, but without h(x), you can't do (f + h)(x)
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answers
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
what is the value of x?
[tex]3x + 5y = 45[/tex]
Answers
Answer:
x = -5/3y + 15
Step-by-step explanation:
Step 1: Subtract -5y from both sides.
3x+5y+−5y=45+−5y
3x=−5y+45
Step 2: Divide both sides by 3.
3x divided by 3 = −5y+45 divided by 3
x = -5/3y + 15
Hope this helps you
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answers
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
Help a brother out with some math? Jane bought a desk that was marked down 60% from an original price of $100. If she paid 5% sales tax, what was the total cost of the desk?
Answers
Answer:
45 i think
Step-by-step explanation:
i could be totally wrong about this but im pretty sure that if an initial price is 100 percentages are really easy. so 100 minus 60 is 40 and with a 5 percent tax thats 45.
Ingredients for 7 cakes
49 g sugar
56 g butter
70 g flour
63 ml milk
Here is a list of ingredients for 7 cakes. Aaron makes some cakes. He uses 50g of flour. How many cakes did he make?
Answers
Answer:
He made 5 cakes
Step-by-step explanation:
49 divided by 7 = 7
56 divided by 7 = 8
70 divided by 7 = 10
63 divided by 7 = 9
So for one cake you would need 7 g sugar, 8 g butter, 10 g flour, and 9 ml milk. So, 50 divided by 10 = 5 cakes
Factor the trinomial by guess and check.
2c^2 - 14c + 20
Answers
Describe the y-intercept and end behavior of the following graph:
Answers
Answer:
i did this in school so basicly you need to plug in the numbers.
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 55% of all potential purchasers select a day visit, 25% choose a one-night visit, and 20% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 25% of night visitors make a purchase, and 20% of those visiting for two nights make a purchase. Suppose a visitor is randomly selected. What is the probability that the visitor makes a purchase
Answers
Answer:
0.1575 = 15.75% probability that the visitor makes a purchase
Step-by-step explanation:
We have these following probabilities:
55% probability that a visitor selects a day visit, and in this case, 10% probability of making a purchase.
25% probability that a visitor chooses a one-night visit, and in this case, 25% probability of making a purchase.
20% probability that a visitor chooses for a two night visit, and in this case, 20% probability of making a purchase.
What is the probability that the visitor makes a purchase
[tex]p = 0.55*0.1 + 0.25*0.25 + 0.2*0.2 = 0.1575[/tex]
0.1575 = 15.75% probability that the visitor makes a purchase
Please help ASAP will give Brainlyest answer :M/5=2
Answers
State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )
Answers
Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
Plz guys help me plz
Answers
how do you expand (8+x) (9+x)
Answers
Answer:
x²+17x+72
Have a great day :)
avocado
Pneumonoultramicroscopicsilicovolcanoconiosis
Answers
Answer:
Yes Avocado :>
Step-by-step explanation:
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which statment is true
1 yard = 3 feet
1 yard = 10 feet
1 yard = 12 feet
1 yard = 36 feet
Answers
Answer:
1 yard = 3 feet