What is the volume

Answer:

I believe it is A

Step-by-step explanation:

I dont quite remember the formula, but I belive that 30 would be correct because if im remembering correctly the formulas are "a + b = c" and "c - (a/b) = (a/b)

a/b = a or b, depending what they give you

Answer:

45°

Step-by-step explanation:

This is a isosceles triangle and also a right triangle, so it means it have an 90° ingernal angle and the other two internal angles have the same value. Remember that the sum of the internal angles of a triangle is always 180°, so:

180° -90° = 90°

90°/2 = 45°

The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.

A sphere is a solid shape that is circular, without borders.

Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.

So, the volume of the sphere formula is:

4/3πr³

We know that the volume is 72 inches.

Then calculate as follows:

72 = 4/3πr³

r³ = 72*3/4π

r = 2.58 (Approx)

Rounding off: 2.6 inches

Then the diameter would be:
2.6 * 2 = 5.2 inches

Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

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Correct question:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

Answer:

[tex]\lim_{x \to \(-1} f(x)=-2[/tex]

Step-by-step explanation:

In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

Answer:

43º

Step-by-step explanation:

full circle is 360

b = 360 - 209 - 108

b = 43

Step-by-step explanation:

everything can be found in the picture

Answer:

(7, 4)

Step-by-step explanation:

Using the formula for calculating the midpoint expressed as;

M(X,Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}

X = (ax1+bx2)/a+b

Y = ay1+by2/a+b

Substitute the given coordinate

X = 2(4)+3(9)/2+3

X = 8 + 27/5

X = 35/5

X = 7

Y = 2(-2)+3(8)/2+3

Y = -4+24/5

Y = 20/5

Y = 4

Hence the required coordinates will be at (7, 4)

Answer:

The cost of one pound of hamburger is $3.20.

Step-by-step explanation:

A)

11.20 ÷ 3.5

$3.20 per lb

B)

Write a proportion:

Variable x = cost per 1 lb

3.5/11.20 = 1/x

Cross multiply:

3.5 × x = 11.20 × 1

3.5x = 11.20

x = 3.2

$3.20 per lb

Answer:

Figure A and C

Step-by-step explanation:

Answer:

1)80m³

2)240in³

3)144 cm³

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Answer:

1) false

2)false

3)false

Step-by-step explanation:

it was done by a calculator so

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

Answer:

y = 10 when x = 9

Step-by-step explanation:

y = k/x

Where,

k = constant of proportionalty

Find k when x = 6 when y = 15

y = k/x

15 = k/6

Cross product

15 * 6 = k

k = 90

what does y equal when x = 9?

y = k/x

= 90/9

y = 10

y = 10 when x = 9

Answer:

180 - 36? I dont exactly remember how to do this

Step-by-step explanation:

Sorry if its not right

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

Answer:

(7p_6pq+) 2p2+ 372 =11p_6pq+372

Answer:

slope = y2 -y1/x2 -x1

= -9 - 6/-1 - (-9)

= -15/8

= -1.875

Answer:

Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8

Given:

For every 45 pieces of blue yarn, Colleen uses 18 pieces of red yard.

To find:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf.

Solution:

We have,

Blue yarn = 45 pieces

Red yarn = 18 pieces

It is given that there is a proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf. So,

[tex]\dfrac{r}{b}=\dfrac{18}{45}[/tex]

[tex]\dfrac{r}{b}=\dfrac{2}{5}[/tex]

[tex]r=\dfrac{2}{5}b[/tex]

Therefore, the required equation is [tex]r=\dfrac{2}{5}b[/tex].

The triangles are similar, based on the Side-Angle-Side Theorem (SAS).

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

By definition, since two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.

In this case, we can identify that you know two pairs of corresponding sides. Then, we can find in they are in proportion.

Set up that:

In triangle IJK  and LMN

Angle JIK = Angle MLN = 61 degree

Notice that they are in proportion.

LN /  ML= IK /JI

100 / 20 = 85/ 17 = 5

we can also identify that the corresponding angles L and I are congruent because they have equal measure.

Therefore, since we know that two sides are proportionate and the included angles are congruent, we can conclude that the triangles are similar, based on the Side-Angle-Side Theorem (SAS).

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Answer:

$2000

Step-by-step explanation:

1,000 g would be = 1 Kg so it would be 25 Kg

And 25 X 80 = 2000

Answer:

$400

Step-by-step explanation:

25,000 grams is equal to 25 kg, so if 5 kg equals $80, the total 25 kg divided by 5 equals five. With this you multiply; 5 × 80 kg = 400. So $400 is the answer.

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

Point F=(3;2) I think so

Answer:

[tex]{ \tt{let \: inverse \: be \: m }} \\ m = \frac{1}{4x} \\ x = \frac{1}{4m} \\ { \bf{f {}^{ - 1} (x) = \frac{1}{4x} }}[/tex]

Answer: [tex]8\ in.[/tex]

Step-by-step explanation:

Given

Radius and height of cylinder is 8 and 6 inches

Similarly the radius of cone is 12 inches

If they have same volume

Equate the volume of cylinder and cone

[tex]\Rightarrow \pi r^2h=\dfrac{1}{3}\pi r'^2h'\\\\\Rightarrow \pi \cdot 8^2\times 6=\dfrac{1}{3}\pi \cdot 12^2\times h\\\\\Rightarrow h=\dfrac{64\times 18}{144}\\\\\Rightarrow h=8\ in.[/tex]

Therefore , the height of cone is 8 in.

Answer:

m = 70°

Step-by-step explanation:

∠IHA + ∠AHG = 180   {Linear pair}

∠IHA + 120   = 180

           ∠IHA = 180 - 120 = 60

In ΔABH ,

∠A + ∠AIH + ∠AHI = 180         {Angle sum property of triangle}

50 + ∠AIH + 60 = 180

       ∠AIH  + 110 = 180

              ∠AIH    = 180 - 110

∠AIH  = 70°

BG // CK and AD  is transversal,

m = ∠AIH                {Alternate interior angles}

m = 70°