a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?

Step-by-step explanation:

so the answer must be 2025 km.

The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be 2025 km.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A plane is flying at a cruising speed of 900 km/h.

The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be

From 11:15 a.m. to 1:30 p.m., there are 2.25 hours.

Then the distance will be

D = 900 x 2.25

D = 2025 km

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Answer:

a = 29/46

b= - 9/46

Step-by-step explanation:

Given:

Rationalizing the left side:

Comparing the left and right sides:

Answer:

See below.

Step-by-step explanation:

The domain of a function is simply the span of x-values the graph will encompass.

And the range of a function is simply the span of y-values the graph will encompass.

Since the function is a quadratic, the domain is all real numbers. From the graph, the graph will continue to expand left and right. Therefore, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

And in set notation, this is:

[tex]\{x|x\in\mathbb{R}\}[/tex]

For the range, notice that the graph is going downwards. In other words, the graph has a maximum value. From the graph, we can see that this maximum value is at y=-4. The graph never reaches any value above -4. Therefore, our range is all numbers equal to or less than -4.

In interval notation, this is:

[tex](-\infty,-4][/tex]

We use brackets because we include the -4 in the solution set.

Also, note that we write the infinity first because the smallest number should be on the left. [-4, -∞) would not be correct.

And in set notation, this is:

[tex]\{y|y\in\mathbb{R},y\leq 4}\}[/tex]

Answer:

The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Step-by-step explanation:

We know that the area of a triangle A = 1/2bh where b = base and h = height.

Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).

So its area A = (3x + 7)(5x - 1)/2.

Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)

So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)

So the difference between the area of the original triangle and the new triangle is

A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2

= (3x + 7)(5x - 1)(3 - 1/2)

= 5(3x + 7)(5x - 1)/2

So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Answer:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft²

Perimeter=24ft

c) Area=120cm²

Perimeter=46cm

Step-by-step explanation:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft² (7x4)

Perimeter=24ft (7+5+7+5)

c) Area=120cm² (15x8)

Perimeter=46cm (15+8+15+8)

The geometric figures are drawn on the diagram are option A,B,D, and F.

One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

we know that

case a) ∠ABC

The geometric figure is not drawn in the diagram case is b) ∠BCE

The geometric figure is drawn in the diagram case is c) line segment CA

The geometric figure is drawn in the diagram case is d) Ray CA

The geometric figure is drawn in the diagram case is e) Circle C

The geometric figure is drawn in the diagram  case is f) Ray BE

The geometric figure is not drawn in the diagram case is g) LIne segment AE

Hence, The geometric figures are drawn on the diagram are option A,B,D, and F.

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Answer:

The number is -30.

Step-by-step explanation:

Given that,

Eight plus the quotient of a number and 3 is −2 . We need to find the number.

So, putting given condition into mathematical expression. Let the number is x. So,

[tex]8+\dfrac{x}{3}=-2[/tex]

Subtracting  on both sides,

[tex]8+\dfrac{x}{3}-8=-2-8\\\\\dfrac{x}{3}=-10[/tex]

Now cross multiplying, we get

x = -30

So, the number is -30.

Answer:

2b - 8z - 6

Step-by-step explanation:

Rearrange the equation, so like terms are near each other

-2b+4b-3z-5z-6

Now we add the b's and z's to get,

2b - 8z - 6

Answer:

2b -8z -6

Step-by-step explanation:

−2b−5z−6+4b−3z​

Combine like terms

−2b+4b−5z−3z​−6

2b -8z -6

Answer:

Distance = 17.5 miles

Step-by-step explanation:

Note.

Given question is not complete

Given:

Speed upstream = x

Time taken in upstream = 3.5 hour

Speed in return trip = (x+2)

Time taken in return trip = 2.5 hour

Computation:

Distance = speed × time

Distance = x (3.5)

Distance = 2.5 (x+2)

Distance = 2.5x + 5

So,

2.5x + 5 = 3.5 x

1.5 x = 5

x = 5 miles/hour

Distance = x (3.5)

Distance = 5 (3.5)

Distance = 17.5 miles

Answer:

aa

Step-by-step explanation:

Answer:

Step-by-step explanation:

Call T the top

call G the bottom

T G B is a right triangle

37 at B, 90 at G, thus 53 at BTG

TGA is a right triangle

25 at A, 90 at G, thus 65 at ATG

thus 122 at ABT

law of sines:

sin 25 / BT = sin 12/ 57

so BT = 156 meters (first answer)

now angle ABT = 180 - 12 - 25

= 143

so

sin 143 /AT = sin12/57

AT = 164 meters, second answer

Answer:

p=50

Step-by-step explanation:

Subtract 30 from both sides and you have your answer

Answer: 50

Step-by-step explanation:

p + 30 = 80

subtract 30 from both sides to isolate the value of "p". subtracting 30 from positive 30 cancels that out. 80 minus 30 is 50. you are left with p = 50, so the value of p is 50.

Answer:

I have not J.H.S 3 , because the questions look like some J.H.S 3 ,so please I am very sorry that I can't help u in this questions . Thanks

Answer:

280-17=273

Step-by-step explanation:

because 80-17 equals 73 sooooooo add 200

Answer:

The triangle ABC is not a right triangle

Step-by-step explanation:

For a right angle triangle, we have;

The square of the longest side or leg of the triangle is equal to the  sum of the squares of the other two legs

The parameters given from the question, are;

The square of of the length of side A = 7 inch²

The square of of the length of side B = 18 inch²

The square of of the length of side C = 27 inch²

Therefore, the the longest side is side C and the inch² sum of the squares of the other two sides are 7 + 18 = 25 inch² which is less than the square of the  length of side C = 27  inch², therefore, the triangle ABC is not a right triangle.

Answer:

Not a right angle

Step-by-step explanation:

Khan academy is never wrong :3

Answer:

D. 13.

Step-by-step explanation:

f(x)=2x+1/x-4

let y = 2x + 1 / x - 4

xy - 4y = 2x + 1

xy - 2x = 4y + 1

x(y - 2) = 4y + 1

x = (4y + 1)/(y - 2)

So f^-1(x) = (4x + 1)/(x - 2)

and f^-1(3) = (4(3) + 1) / (3 - 2)

= 13/1

= 13.

Answer:

D

Step-by-step explanation:

Insert 3 in place of x in the inverse function.

================================================

Explanation:

The arc measures of 60 and x average to the angle 70, which is the the angle formed between the intersecting chords

70 = (60+x)/2

70*2 = 60+x

140 = x+60

x+60 = 140

x = 140-60

x = 80

The full 360 degree circle has the arc measures of 60, 79, x = 80, and w, where we don't know w yet. But we can add the four pieces of the circle to get 360

60+79+x+w = 360

60+79+80+w = 360

w+219 = 360

w = 360-219

w = 141

---------------

Or you could find angle z first

z+70 = 180

z = 180-70

z = 110

Then use the averaging technique done at the start of this problem

z = (79+w)/2

110 = (79+w)/2

2*110 = w+79

220 = w+79

w+79 = 220

w = 220-79

w = 141

Answer:

Step-by-step explanation:

If we have triangle of sides: a, b, c, and a < b < c (or b<a<c) then:

for triangle to exist:

                                  a + b > c

So:

if  a=11, b=16  then 11 + 16 > c     ⇒   c < 27

if a=11, c = 16 then  11 + b > 16    ⇒   b > 5

We don't know if the unknown side (x) is the longest or not, so it has to be greater than 5 and less than 27

5 < x < 27

Step-by-step explanation:

43. P, U

44. 7

53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.

55

a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.

One of those combinations does not have K, so 3 combinations of the 4 have K.

p = 3/4

b. p = 1 since any three points are always coplanar.

Answer:

1.5%

Step-by-step explanation:

To find Rate in Simple Interest:

R = 100 S.I / T × P

R = 100 × 90/10 × 600

R = 9/6

R = 1.5%

1.5% is the rate.

Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.

Step-by-step explanation: I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions ! Hope this helped

Answer:

r=1

Step-by-step explanation:

-5r+2r=-3r

-3r=-3

Divide by -3 on both sides

r=1

Answer

the answer is 254 cm 2

Step-by-step explanation:

The area of the circle will be 254 square cm. Then the correct option is C.

Let r be the diameter of the circle. Then the area of the circle will be

A = (π / 4)d² square units

The radius of the circle is 18 cm.

Then the area of the circle will be

A = (π / 4) x (18)²

A = 254.46 ≈ 254 square cm

Then the correct option is C.

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Answer:

The correct option is x = 5

Please find the attached graph of the function

Step-by-step explanation:

The given functions are;

1) f(x) = -x² + 4·x + 12

2) g(x) = x + 2

The table of values are therefore;

x,        f(x),      g(x)

-7,       -65,     -5

-6,       -48,     -4

-5,       -33,     -3

-4,       -20,     -2

-3,        -9,      -1

-2,        0,        0

-1,         7,         1

0,        12,        2

1,        15,         3

2,       16,         4

3,       15,         5

4,       12,         6

5,        7,          7

6,       0,           8

Therefore the solution to the equation f(x) = g(x), occurs at x = -2 and x = 5, where  f(x) = g(x) = 0 and 7 respectively

To verify, we have;

Equating the two functions gives;

f(x) = g(x)

-x² + 4·x + 12 = x + 2

-x² + 4·x + 12 - (x + 2) = 0

-x² + 3·x + 10  = 0

(x + 2)(x - 5) = 0

x = 5 or -2

The correct option is x = 5.

Answer:

C. x=5

Step-by-step explanation:

Please see attachments. You'll see that at the x=5 y will equal 7.

Hope this helps!

Answer:

v = 18

Step-by-step explanation:

Given

79 = 61 + v ( subtract 61 from both sides )

18 = v

Answer:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Step-by-step explanation:

So we have the expression:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

Recall the order of operations or PEMDAS:

P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.

E: Within the parentheses, if exponents are present, do them before all other operations.

M/D: Multiplication and division next, whichever comes first.

A/S: Addition and subtraction next, whichever comes first.

(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)

Thus, we should do the operations inside the parentheses first. Therefore:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

The parentheses is:

[tex](6^2\div3\times2^2)[/tex]

Square the 6 and the 4:

[tex](36\div3\times4)[/tex]

Do the operations from left to right. 36 divided by 3 is 12. 12 times 4 is 48:

[tex](36\div3\times4)\\=(12\times4)\\=48[/tex]

Therefore, the original equation is now:

[tex]12-[20-2(6^2\div3\times2^2)]\\=12- [20-2(48)][/tex]

Multiply with the brackets:

[tex]=12-[20-96][/tex]

Subtract with the brackets:

[tex]=12-[-76][/tex]

Two negatives make a positive. Add:

[tex]=12+76=88[/tex]

Therefore:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Answer:

[tex]\huge \boxed{\mathrm{500 \ miles}}[/tex]

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

[tex]c=\sqrt{300^2 +400^2 }[/tex]

[tex]c=\sqrt{90000 +160000}[/tex]

[tex]c=\sqrt{250000}[/tex]

[tex]c=500[/tex]

Answer:

Option D. m<A = 43, m<B = 55, a = 20

Step-by-step explanation:

1. Determination of angle B.

Angle C = 82

Opposite C (c) = 29

Opposite B (b) = 24

Angle B =?

Using Sine rule, we can obtain the value of angle B as follow:

b/Sine B= c/Sine C

24/Sine B = 29/Sine 82

Cross multiply

29 × Sine B = 24 × Sine 82

Divide both side by 29

Sine B = (24 × Sine 82) /29

Sine B = 0.8195

Take the inverse of Sine.

B = Sine¯¹ (0.8195)

B = 55

2. Determination of angle A.

Angle C = 82

Angle B = 55

Angle A =?

The value of angle A can be obtained as follow:

A + B + C = 180 (sum of angle in a triangle)

A + 55 + 82 = 180

A + 137 = 180

Collect like terms

A = 180 – 137

A = 43

3. Determination of side a (Opposite A)

Angle C = 82

Opposite C (c) = 29

Angle A = 43

Opposite A (a) =?

The value 'a' can be obtained as by using sine rule as illustrated below:

a/Sine A = c/Sine C

a/Sine 43 = 29/Sine 82

Cross multiply

a × Sine 82 = 29 × Sine 43

Divide both side by Sine 82

a = (29 × Sine 43) /Sine 82

a = 20

Therefore,

m<A = 43, m<B = 55, a = 20