This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Pls help I don’t understand what the problem is asking
your class is taking a field trip. you can travel in school district buses and chartered buses. a school bus holds 50 people and a chartered bus holds 40 people. 400 people are going on the trip. write an equation that models this situation.
Whats between 4 1/2 and 4 3/4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4 \frac{1}{2} = \frac{8 + 1}{2} = \frac{9}{2} = \frac{18}{4} \\ [/tex]
And ,
[tex]4 \frac{3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \\ [/tex]
_________________________________
[tex]( \frac{18}{4} + \frac{19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{18 + 19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{37}{4} ) \div 2 = \\ [/tex]
[tex] \frac{37}{4} \times \frac{1}{2} = \\ [/tex]
[tex] \frac{37}{8} \\ [/tex]
Done...
Thus 37 / 8 is between those fractions.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet, what are the
lengths of each side of the playground?
Answer:
The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Step-by-step explanation:
At first, let us find the perimeter of the playground
∵ Perimeter of a triangle is P = S1 + S2 + S3
∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft
∴ S1 = 2x, S2 = x - 1, S3 = x
→ Substitute them in the rule of the perimeter above
∵ P = 2x + x - 1 + x
→ Add the like terms
∴ P = (2x + x + x) - 1
∴ P = 4x - 1
∵ The perimeter of this playground is 27 feet
∴ P = 27
→ Equate the two values of P
∴ 4x - 1 = 27
→ Add 1 to both sides
∴ 4x - 1 + 1 = 27 + 1
∴ 4x = 28
→ Divide both sides by 4
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
→ Substitute the value of x in each side to find their lengths
∵ S1 = 2(7)
∴ S1 = 14 feet
∵ S2 = 7 - 1
∴ S2 = 6 feet
∵ S3 = 7 feet
∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
ANSWER ASAP!!!
is -6x+y=-11 the same as 6x − y = 11?
Use the value of x to find the measure of angle 1 x=25
on (43 - 4) + 12 = 3
Answer:
No im afraid it equals Fish
Step-by-step explanation:
If you subtract 43-4 equals 39 which how many nemo fish r in the ocean
and if u add 12 to it it equals 51 which how many fish r in the ocean
so the answer is Fish
A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components LeftAngleBracket 14, 23 RightAngleBracket. After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station.
B
What are the characteristics of the vector representing the path of the ship?
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 53.85
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85
Answer:
D
Step-by-step explanation:
Edge 2020
Answer:
D. components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85
Step-by-step explanation:
Solve 3x + 8 = x + 16
Answer:
x = 4
Step-by-step explanation:
Move all "x"s to one side of the equation:
(3x + 8) - x = (x + 16) - x
2x + 8 = 16
Subtract 8 from both sides so that all the numbers are on one side of the equation:
(2x + 8) - 8 = (16) - 8
2x = 8
Divide both sides of the equation by 2:
x = 4
What is the unit rate of 36 flowers in 3 bouquets
Answer:
12 flowers per bouquet
Step-by-step explanation:
Answer:
12 / 1
Step-by-step explanation:
12 times 3 is 36 so 12 flowers in each bouquets.
ill gives brainiest The average height of an ostrich is 255 cm.
Suppose that you want to make a scale
drawing of an ostrich. The scale is 30 :1.
What height will you make the ostrich in
your drawing? Explain your thinking.
Step-by-step explanation:
8.5
_____
30) 255.0
240
0150
150
000
Find the slope
How can I find the slope
Answer:
You should use the y2 - y1 /x2 - x1
To find the answer you should be able to plug in the x and the y in the equation with the coordinates that you have but I'm not sure if you don't have what you'll do
If you are god of math you can try this
Answer:
BRO, u dont need to be a god :D, This is simple math and you just need to use your brains
Step-by-step explanation:
Given is a polynomial, and the values of the variables in it are given by showing what set are they an element of, right? It just gets easier from here
They tell us that 'z' is an element of set C, which stands for Complex Numbers.
And they also tell us that 'a' is an element of set Z, which stands for Integers, which are just numbers with a sign :).
They have also given us a root (solution) to the polynomial, which is also a complex number.
The two statements given are just there for us to verify that we are on the right track to the solution.
We can see that (z = 3 + i) which of course is a complex number, due to the presence of 'i', and 'a' is an integer for when we find its value.
Put it all together and we will get the answer.
Like this,
take the given value of 'z' and place it into the polynomial given, now keep your eyes open here. They said the value of z is as such when the polynomial is an equation which equals 0, so hence we get this:
P(z) = a(3+i)³ - 37(3+i)² + 66(3+i) - 10 = 0,
now just go on simplifying,
=> a(3³+i³+3×3²i+3×3i²) - 37(3²+2×3×i+i²) + 66×3 + 66×i - 10 = 0
=> a(27-i+27i-9i) - 37(9+6i-1) + 198 + 66i - 10 = 0
=> a(27+17i) - 37(8+6i) + 188 + 66i = 0
=> a(27+17i) = 296 + 222i - 188 - 66i
=> a(27+17i) = 108 + 156i
=> a = (108+156i) / (27+17i)
=> a = (108+156i)(27-17i) / (27)² - (17i)²
=> a = (5568 + 2376i) / (699 + 289)
=> a = 5568 + 2376i / 1488
DONNEEE....yayyyy....lol
Ms. Baron earns $20 for walking 4 dogs. How much would she earn for each dog?
Answer:
$5
Step-by-step explanation:
20 / 4 = $5
I hope this helped, please mark Brainliest, thank you !!
Answer:
$5
Step-by-step explanation:
Assuming that she earns the same amount for walking each dog.
20/4 = 5
the actual length of a window that is 1 ½ inch long on a drawing with a scale of 1 inch = 6 feet?
Answer:
answer : 9 feet
Step-by-step explanation:
1 foot is 6 feet and a half foot is 3 feet so add them together.
35+30s -45t expression equivalent
Answer:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Step-by-step explanation:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Answer:
dw
Step-by-step explanation:
dw
(IM GIVING BRAINLIEST IF U HELP!!)
How does an object become electrically charged?
A) Though the transfer of charges from one object to another
B) Through the movement of heat from one object to another
C) Through the transfer of sound from one object to another
D) Through the movement of water from one object to another
A is the correct option:) Three ways electrons can be transferred are conduction, friction, and polarization. In each case, the total charge remains the same. This is the law of conservation of charge. Conduction occurs when there is direct contact between materials that differ in their ability to give up or accept electrons.
The general form of an parabola is 3x2+24x−2y+52=0.
What is the standard form of the parabola?
Answer:
y = 3/2x∧2+12x+26
Step-by-step explanation:
What is the measure of line segment BE in the diagram below?
Answer:
15
Step-by-step explanation:
∆ABC ~ ∆AED, therefore,
[tex] \frac{AB}{AE} = \frac{BC}{ED} [/tex]
Let BE = x
AB = x + 9
AE = 9
BC = 16
ED = 6
Plug in the values into the equation
[tex] \frac{x + 9}{9} = \frac{16}{6} [/tex]
[tex] \frac{x + 9}{9} = \frac{8}{3} [/tex]
Cross multiply
[tex] (x + 9)(3) = (8)(9) [/tex]
[tex] 3x + 27 = 72 [/tex]
Subtract 27 from each side
[tex] 3x = 72 - 27 [/tex]
[tex] 3x = 45 [/tex]
Divide both sides by 3
[tex] x = \frac{45}{3} [/tex]
[tex] x = 15 [/tex]
Segment BE = x = 15
Use long division to change 11/30 to a decimal
Answer: 0.3666667
Step-by-step explanation:
82pts
_
Express 0.41(repetitive decimal) as a fraction in its simplest form
Answer:
Step-by-step explanation:
ty for points
Where does warm water accumulate in the Pacific Ocean during El Niño?
the east
the south
the north
the west
answer:
a. east coast! :)
hope this helps.
Answer:
I put A and got it right on edge Step-by-step explanation:
(Giving brainliest on this one to who ever helps!!)
The steps in an investigation between two negatively charged objects are listed below.
Step 1: Rub a cloth on two uncharged balloons to make them negatively charged.
Step 2: Bring the two negatively charged balloons together.
Step 3: Observe the repulsion between the two objects.
Which statement is true?
A) An object changes its charge when placed near another charged object.
B) Bringing two positively charged objects close together would result in attraction.
C) The two balloons do not have to touch for repulsion to be observed.
D) Two negatively charged objects will attract each other when they touch.
Answer:
C) The two balloons do not have to touch for repulsion to be observed.
Step-by-step explanation:
Happiness is it qualitative or quantitative?
Please answer
Answer:
i think its quantiative becuase theirs only 2 options but i could be wrong btw srry for bad spelling
Step-by-step explanation:
Write the equation in point-slope form that goes through the point (10,5) and has
slope of - 3
What is the y-intercept in the equation 2y = x -8
Answer:
(0,-4)
Step-by-step explanation:
12.6 + 4m = 9.6 + 8m
Answer:
3 = 4m or 0.75 = m
Step-by-step explanation:
12.6 + 4m = 9.6 + 8m
Subtract 4m from both sides of the equation
12.6 = 9.6 + 4m
Subtract 9.6 from both sides of the equation
3 = 4m
Divide by four on both sides of the equation
0.75 = m
I Hope That This Helps! :)
Just answering so the other guy can have brainiest! Hope this helps!
What is the measure of angle M? Type only the number:
Answer: 30
Step-by-step explanation:
all angle degrees added up = 180 degrees as I said before.
180 = 102+48+M
180 = 150+M
M = 30
whats the place value of number 4 in the number 1 345.87?
Answer:
Tens
Step-by-step explanation:
Decimal Place Values:
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
. decimal point
tenths
hundreths
thousandths
ten thousandths
5. Justify the last two steps of the proof.
(4 points)
Given: RS UT and RT US
Prove: ARST AUTS
T
0
Proof:
1. RSU
2. RT & US
3. ST & TS
4. ARST AUTS
1. Given
2. Given
3. ?
4. ?
E
Answer:
ST & TS are congruent
RST and UTS are congruent
Step-by-step explanation:
The question is not properly presented; however, I've added an attachment to give a clear picture of the question.
Required
State the property that justifies:
[tex]ST = TS[/tex]
Triangles [tex]RST = UTS[/tex]
From the question, we have that:
[tex]RS = UT[/tex]
[tex]RT = US[/tex]
In plane geometry, the length of ST is still the same as the length of TS.
This implies that:
[tex]ST = TS[/tex] because ST is congruent to TS
Moving further to determine the relationship between triangles [tex]RST\ \&\ UTS[/tex]
Comparing both triangles:
They have a similar side ST and TS because [tex]ST = TS[/tex]
And we also have that: [tex]RS = UT[/tex]
So, we can conclude that: [tex]RST = UTS[/tex] because they are congruent
Your question isn't 100% clear to me but I did my best:
1. RS = UT Given
2. RT = US Given
3. ST = TS Reflexive Property of Congruence
4. RST = UTS SSS (Side-Side-Side)