Which of the following length can represent a right triangle?
5,12,15
4,5,6
8,10,12
20,21,29

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

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Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

Answer:

B A A

Step-by-step explanation:

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

Answer:

no

Step-by-step explanation:

4 quarts = 1 gallon, so he would have 1.5 gallons.

8 pints = 1 gallon, he would need 4 pints to have 2 gallons

Answer:

No he will not.

Step-by-step explanation:

6 quarts to a gallon is 1.5

3 pints to a gallon is 0.375

you add those together you get 1.875 not 2

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Answer:

A. X + Y

Step-by-step explanation:

From this question x = -2 and y = -5

We are to find out the expression that would give a negative value.

X+Y

(-2)+(-5)

+(-) gives a negative sign. So we have

= -2-5

= -7

For x - y

(-2) - (-5)

-(-) = positive

= -2 + 5

= 3.

For [x][y]

= (-2) x (-5)

= 10

since a negative sign multiplied with another negative sign gives a positive result

For X/Y

= -2/-5

= 2/5 the result here is positive because 2 negative signs when divided cancel out.

Therefore the answer is option A since it's result is negative. Others are positive

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

Answer:

i think that the answer is y = 3x- 1

Answer:

$53760

Step-by-step explanation:

Rui Feng borrows $48 000 from a bank that  charges simple interest at a rate of 6% per annum.

Now, we have to calculate the total amount he has to pay the bank at the end of 2 years.

Now, using the formula of simple interest the total amount after 2 years will be

dollars. (Answer)

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

Answer:

Step-by-step explanation:

L=3(5280)/(2(380+250))

L=15840/1260

L=12.57

So to walk three miles one must walk around the garden 12.57 times.

Answer:

68°

Step-by-step explanation:

The sum of all internal angles of a circle always total 360°.

So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.

90 + (2x+1) + (2x-3) = 360

90 + 4x -2 = 360

4x - 2 = 360 - 90

4x - 2 = 270

4x = 272

x = 272/4

x = 68°

From here, you can find any of the two unknown angles by simply plugging in x = 68°.

Feel free to ask me if you didn't understand any part :D

Hope this helps!

Answer:

D

Step-by-step explanation:

You have the correct answer.

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

Answer:

True

Step-by-step explanation:

If any number is multiplied by a negative in this case, the answer will of course be negative

Given:

The figure of a quadrilateral ABCD.

To find:

The supplement of angle ABC.

Solution:

We know that, two angles are called supplementary angles if their sum is 180 degrees.

[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]

[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]

So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]

[tex]\angle ABC+\angle ADC=200^\circ[/tex]

So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]

[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]

[tex]\angle ABC+\angle DAB=180^\circ[/tex]

So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].

In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].

So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].

Therefore, the correct option is C.

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

Answer:

hello

Step-by-step explanation:

but dear where is the picture?

answer is $30

looks like u cheating

Answer:

top right is the hypotenuse, top left is a leg, bottom right is a leg

Step-by-step explanation:

Every triangle has 2 legs and 1 hypotenuse. The hypotenuse is always the longer side and across the 90 degree angle. All of the other sides would be called the legs because they are not the hypotenuse