Answer:
SPANISH TALK THE ENGLSH
Step-by-step explanation:OKKK
OK I GIV ANSWER TALK ENGLISh
Question
2. Determine
the
acute
angle
between the planes
x - 2y + 5z = 3
2x + y - 3z = 15.
Distance of a plane from the origin:
Answer:
Acute angle between the two planes: approximately [tex]43^\circ[/tex].
Step-by-step explanation:
Find the normal vector of each plane:
The normal vector of the plane [tex]x - 2\, y + 5\, z = 3[/tex] is [tex]\displaystyle \begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix}[/tex].The normal vector of the plane [tex]2\, x + y - 3\, z = 15[/tex] is [tex]\displaystyle \begin{bmatrix}2 \\ 1\\ -3\end{bmatrix}[/tex].As the name suggests, there is a [tex]90^\circ[/tex] angle between a plane and its normal vector. The following four angles will correspond to the vertices of a quadrilateral:
The [tex]90^\circ[/tex] angle between the first plane and its normal vector.The angle between the normal vector of each plane.The [tex]90^\circ[/tex] angle between the second plane and its normal vector.The smallest angle between these two planes.The sum of these four angles should be [tex]360^\circ[/tex]. Two of these four angles were known to be [tex]90^\circ[/tex]. Once the third angle (the angle between the two normal vectors) is found, subtractions would give the measure of the other angle (the smallest angle between these two planes.)
Make use of the dot product to find the angle between these two normal vectors. Let [tex]\theta[/tex] denote the angle between these two vectors.
[tex]\displaystyle \cos \theta = \frac{\begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix} \cdot \begin{bmatrix}2 \\ 1 \\ -3\end{bmatrix}}{\sqrt{1^2 + (-2)^2 + 5^2} \cdot \sqrt{2^2 + 1^2 + (-3)^2}} \approx -0.73193[/tex].
Before continuing, notice that the smallest angle between the two planes would be [tex]360^\circ - 90^\circ - 90^\circ - \theta = 180^\circ - \theta[/tex].
Consider the identity: [tex]\cos\left(180^\circ - \theta\right) = -\cos \theta[/tex].
In other words, [tex]\cos\left(180^\circ - \theta\right)[/tex], the cosine of the smallest angle between the two planes (which the question is asking for) will be the opposite of [tex]\cos \theta[/tex], the cosine of the angle between the two normal vectors.
Therefore, the cosine of the smallest angle between the two planes will be [tex]-(-0.73193) = 0.73193[/tex].
Apply the inverse cosine function to find the size of that angle:
[tex]\arccos(0.73193) \approx 43^\circ[/tex].
Write each mixed number as a percent: 7 3/10
Answer:
730%
Step-by-step explanation:
Pretty easy if you know what you’re doing lol please helpppp Bc idk what I am doingggy
Classify the triangle shown by its sides and angles. Check all that apply.
73°
349
730
Equilateral
Scalene
Isosceles
Obtuse
Right
Acute
Equiangular
Which value of x will make the fraction 10/x equivalent to 2/3?
I need this urgently!!!
Answer:
The value of x would be 15
Explanation:
10/x = 2/3
Cross multiply:
10 · 3 = x · 2
30 = 2x
30 ÷ 2 = x
15 = x
Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus
I know not math But please help
Answer:
The answer is B
Step-by-step explanation:
look it up on google.
Answer:
The answer is B
Mostly its of B but some clouds are also made up of cmulus(option C)
Match the following.
Given A = (1, 2, 3, 4, 5) B = (2, 4, 6) C = (1, 3, 5)
Answer:
u have to put the pic of it then only we can understand this please put a pic
A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?
Answer:
2 gallons an hour
Step-by-step explanation:
This is a fraction equal to
2 gal ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
2 gal
÷ 1
1 hours
÷ 1
=
2 gal
1 hour
=
2 gal
hour
= 2 gal per hour
Answer:
3/8
Step-by-step explanation:
1/4 ÷ 2/3 = 3/8
3a. Find the volume of the 3-dimensional object. (enter only the number
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
How do the final lines of “A Blessing” emphasize the author’s peaceful tone?
1 The final two lines, in which the speaker states, “I would break into blossom,” indicate that flowers blossom in the spring.
2 The final two lines, in which the speaker states, “I would break into blossom,” indicate the feeling of beauty and growth from contact with the horses.
3 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of excitement when watching horses run.
4 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of death and dying.
Answer:
4
Step-by-step explanation:
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 95% confidence interval of width of at most .18 for the probability of flipping a head
Answer:
AYOOOOO MONEY CHECK
Step-by-step explanation:
1,320 feet is what fraction of a mile?
Answer:
1/4
Step-by-step explanation:
divide the value in feet by 5280 because 1 mile equals 5280 feet.
Answer:There are 5280 feet in one mile; thus
1320/5280 = 1/4
Step-by-step explanation:
sorry if its not correct }:
PLEASE HELP ME PLEASEEEEEEEEE
Answer:
5 week
Step-by-step explanation:
13.75/ 2.75
=5
1. Which equation represents the relationship shown in the table below? (1 point)
y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3
The equation representing the relationship in the table is y = 2x - 3. The correct option is C.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.
Given data in the table:-
x y
0 -3
1 -1
2 1
3 3
The equation satisfying the values of the table will be:-
y = 2x - 3
-3 = 2 x 0 - 3=-3
-1 = 2 x 1 - 3 =-1
1 = 2 x 2 - 3 = 1
3 = 2 x 3 - 3 = 3
Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.
To know more about an equation follow
https://brainly.com/question/18831322
#SPJ5
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answer:
6%
Step-by-step explanation:
I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.
Answer:
6%
Step-by-step explanation:
108 x%
------- = --------
225 100%
Helpoooooooooooooooooooo
Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
Please need help thank you
A carpenter is building a rectangular shed with a fixed perimeter of 68 ft. What are the dimensions of the largest shed that can be built? What is its area?
The dimensions of the largest shed are _____ by _____.
The area of the largest shed is _____.
Answer:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
Step-by-step explanation:
Given that:
Fixed perimeter of the rectangular shed = 68 ft
To find:
The dimensions of the largest shed that can be built = ?
And
Area of the largest shed that can be built = ?
Solution:
First of all, let us have a look at the formula for perimeter of a rectangular shape shed:
Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)
68 = 2 [tex]\times[/tex] (Length + Width)
Length + Width = 34
The largest possible values are only in the case when the rectangle is a square.
i.e. Length = Width
Therefore values of length and width are:
Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]
Area of a square is given by the formula:
[tex]A = Side \times Side[/tex]
[tex]A[/tex] = 17 [tex]\times[/tex] 17 = 289 sq ft
The answer is:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
You randomly choose two shapes from the bag, with replacement. Find the probability of choosing a star and then a circle. Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
Noah is growing three different types of trees. He is keeping track of the height of each tree over time.
This equation represents the height (in feet) of the Tree #1 over m months: h=3.5m
The information is in the table is for Tree #2:
time (months) height of tree (feet)
2 5
4 10
5 12.5
8 20
This graph shows how long, in months, it takes Tree #3 to grow h feet.
A graph. Height, in feet. Time, in months.
Which tree is growing the slowest?
Answer:
Tree 3
Step-by-step explanation:
The equation for the height of tree 1 is given as:
h = 3.5m
The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\[/tex]
From the graph of tree 3, we get the points (2,4) and (4, 8)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\[/tex]
Therefore tree 3 grows the slowest
Which table represents a linear function? Thanks! :)
Answer:
the first table
Step-by-step explanation:
Answer:
the first table
Step-by-step explanation:
this was on edjednuty
PLZ HELP!!! WILL GIVE U BRAINLIEST!!!
Answer:
Graph B is correct
(3,-1)
Step-by-step explanation:
Convert to slope-intercept form and find them on graph.
Answer:
Graph B and (3,-1)
Step-by-step explanation:
Step: Solve x−2y=5 for x:
x−2y=5
x−2y+2y=5+2y (Add 2y to both sides)
x=2y+5
Step: Substitute 2y+5 for x in 3x+15y=−6:
3x+15y=−6
3(2y+5)+15y=−6
21y+15=−6 (Simplify both sides of the equation)
21y+15+−15=−6+−15 (Add -15 to both sides)
21y=−21
(Divide both sides by 21)
y=−1
Step: Substitute−1for y in x=2y+5:
x=2y+5
x=(2)(−1)+5
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−1 or (3,-1)
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99
Answer:
The total is $28.50
Step-by-step explanation:
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/5, 5/3,13/6,8/3
This question was not written properly
Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
Jonas is concerned about the amount of water he uses to wash his laundry. he made a table to show the number of gallons of water used by different washing machines to complete of laundry. use variables to represent the independent and dependent shown in the table and Use variables to represent the dependent variable and the independent variable in this sentence
Table:
Type of Washing Machine:
Older top Loanding,
New Standar Model,
Energy Efficient,
Age of washing Machine (years):
(6,4,2)
and
Gallons Of Water:
(42,28,14)
I do not understand your answer
The exercise asks who are the independent and dependent variables
In the case of Jonas and his washing machine the independent variables are:
Type of Washing Machine.The dependent variables are:
Age of Washing Machine (years).Gallons of Water (42, 28, 14).Energy Efficient.What is an independent variable?The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.
Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.
What is a dependent variable?The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.
According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.
For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.
Learn more about variable in: https://brainly.com/question/1029540
x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5
Answer:
(-3, 1, -1)Step-by-step explanation:
x + y + z = -3 --> (1) 3y - z = 4 --> (2)2x - y - 2z = -5 --> (3)Add up (1) and (2)
x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)Double (2) and subtract from (3)
2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)Double (4) and subtract (5)
2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1Finding x
x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3Finding z
-3 + 1 + z = -3 ⇒ z = -1So the answer is:
(-3, 1, -1)Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
The following table shows the distance from school as a function of time:
Time (in minutes)
x Distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20
Find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school
Answer:
c
Step-by-step explanation:
It shows that The x intercept values are under the time label
Answer:
C
Step-by-step explanation: