Answer:
Just divide
1944/216=9
9 feet deep
Hope this helps
Step-by-step explanation:
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31
Answer:
61 degrees is the missing angle measure
Step-by-step explanation:
[tex]cos^{-1} (\frac{15}{31})[/tex] Use this equation to find the missing angle
61 degrees is the missing angle measure
If this asnwer is correct, please make me Brainliest!
The reciprocal of the tangent is the ___.
A. tangent
B. secant
C. cosecant
D. cotangent
What is the slope of the line graphed in the picture
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
Can someone give me three possible solutions?
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
Pythagorean theorem :
There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?
Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?
Answer:
Step-by-step explanation:
43feet
Consider these triangles with two known angle
measures.
w
Answer the questions about the triangles.
Which equation can be used to determine the measure
of angle Q?
What is the treasure of angle Y?
48°
48R
What can be concluded about the measure of angle Q
and the measure of angle Y?
86x
86
Р
Y
Answer:
1. 48 + 86 + + Q = 180
2. 46 degrees
3. They are congruent
Step-by-step explanation:
I just got them right on edg
Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.
Using angle sum property, ∠Y = 46°.
It can be concluded that ∠Y = ∠Q.
What is angle sum property?The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.
In ΔPQR,
∠P + ∠Q + ∠R = 180° (angle sum property)
86 + ∠Q + 48 = 180
∠Q = 180 - 86 - 48 = 46°
In ΔXYZ,
∠X + ∠Y + ∠Z = 180° (angle sum property)
86 + ∠Y + 48 = 180
∠Y = 180 - 86 - 48 = 46°
As visible, ∠Q = ∠Y.
Learn more about angle sum property here
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What are the solutions of the quadratic equation? x^2-9x+18=0
Answer:
x=6 x=3
Step-by-step explanation:
x^2-9x+18=0
Factor
What 2 numbers multiply to 18 and add to -9
-6*-3 = 18
-6-3 = -9
(x-6) (x-3) =0
Using the zero product property
x-6 =0 x-3 =0
x=6 x=3
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Hello!
Answer:[tex]\boxed{ \bf w~=~4}[/tex]
________________________________________________
Explanation:7(w + 9) = 91
First, we must multiply everything in the brackets by 7.
= 7(w) + 7(9) = 91
= 7w + 63 = 91
Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.
= 7w + 63 = 91
- 63 - 63
7w = 28
Since w is being multiplied, we'll have to perform the opposite operation (which is division).
[tex]\frac{7w}{7} = \frac{28}{7}[/tex]
w = 4
The right answer is 4.
look at the attached picture
Hope it will be helpful to you..
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
helppppppppppppppp meeeeeee
1x1x1. That's pretty much the definition of
Answer: 1 cubic foot, last choice
Find the volume of the pyramid.
Answer:
200cm³
Step-by-step explanation:
Volume=[tex]\frac{LXBXH}{3}[/tex]
so 10×10×6=600
600÷3=200
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
The table represents the equation y=8x what y-value is missing from the table
Answer:
Step-by-step explanation:
There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.
Answer: 1, 3 , 5, and 6
I took the test have a great day!
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
What integer represents a drop in temperature of 12°
Answer:
Integer; - 12
Step-by-step explanation:
If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;
At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;
Answer; - 12
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
300 Backpacks each week]
Step-by-step explanation:
dont have an explanation srry but the answer is totally 300 backpacks a week
Answer:
30
Step-by-step explanation:
