Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.

Answer:

[tex]\displaystyle \frac{28}{15}\; \text{radians}[/tex], which is approximately [tex]107^{\circ}[/tex].

Step-by-step explanation:

In a given circle, the angle of a sector is proportional to the length of the corresponding arc:

[tex]\displaystyle \frac{\text{angle of sector $1$}}{\text{angle of sector $2$}} = \frac{\text{length of arc of sector $1$}}{\text{length of arc of sector $2$}}[/tex].

For the circle in this question, [tex]r = 15\; \rm cm[/tex], and the circumference would be:

[tex]2\, \pi \, r = 30\, \pi\; \rm cm[/tex].

The full circle itself is like a sector with an angle of [tex]2\, \pi[/tex], with the arc length equal to the circumference of the circle.

[tex]\displaystyle \frac{\text{angle of sector}}{\text{angle of full circle}} = \frac{\text{length of arc of sector}}{\text{circumference of circle}}[/tex].

[tex]\displaystyle \frac{\text{angle of sector}}{2\,\pi\; \rm rad} = \frac{28\; \rm cm}{30\, \pi\; \rm cm}[/tex].

Rearrange the equation to find the angle of the sector:

[tex]\begin{aligned} & \text{angle of sector} \\ =\; & (2\,\pi\; \rm rad) \cdot \frac{28\; \rm cm}{30\, \pi\; \rm cm} \\ =\; & \frac{28}{15}\; \rm rad\end{aligned}[/tex].

In other words, the angle of this sector would be [tex]\displaystyle \frac{28}{15}\; \rm rad[/tex]. Multiply that measure in radians by [tex]\displaystyle \frac{360^{\circ}}{2\,\pi\; \rm rad}[/tex] to find the value of the angle measured in degrees:

[tex]\begin{aligned} & \frac{28}{15}\; \rm rad \times \frac{360^{\circ}}{2\,\pi\; \rm rad} \approx 107^{\circ}\end{aligned}[/tex].

Answer:

f(x)=x–5

f (3x–2) = (3x–2) –5

f (3x–2) = 3x–7

I hope I helped you^_^

Answer:

x = 6

Step-by-step explanation:

20 = 7x + 2 - 4x

7x + 2 - 4x  = 20    (switch the sides)

7x - 4x + 2 = 20     (group the like terms together)

3x + 2 = 20            (add similar numbers, in this case it's the both x's)

    -2     -2              (subtract 2 on both sides)

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

3x = 18

/3     /3                   (divide both sides by 3)

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

x = 6

Answer:

[tex]\sqrt{3 }[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Using exact values

2sin60°sin90° + cos60°cos0°

= 2 × [tex]\frac{\sqrt{3} }{2}[/tex] × 1 + [tex]\frac{1}{2}[/tex] × 1

= [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2}[/tex] ← exact value

Answer:

It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.

Step-by-step explanation:

Answer:

x+ ( 1– a ) = 0

x= – 1 + a

I hope I helped you^_^

Step-by-step explanation:

[tex] - \frac{2}{3} + 1 \frac{5}{6} + ( - \frac{3}{2} )[/tex]

[tex] = 1 \frac{5}{6} - \frac{2}{3} - \frac{3}{2} [/tex]

[tex] = \frac{11}{6} - (\frac{2}{3} + \frac{3}{2} )[/tex]

[tex] = \frac{11}{6} - ( \frac{4 + 9}{6} )[/tex]

[tex] = \frac{11}{6} - \frac{13}{6} [/tex]

[tex] = \frac{11 - 13}{6} [/tex]

[tex] = \frac{ - 2}{6} [/tex]

After simplifying,

[tex] = \frac{ - 1}{3} (ans)[/tex]

Answer:

(14, 42)

Step-by-step explanation:

(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets

Answer:

5×(2x+3)

Step-by-step explanation:

hope this helps:)

Answer:

B,87

STEPS

78+89+83+80+84+95+100+86+84+91

10

870

10

Answer:

set of even counting number is well-defined

Answer:

BCG

Step-by-step explanation:

This is because it is what you see when you look in the front of the shape.

HOPE THIS HELPED

Answer:

11703.7 metres

Step-by-step explanation:

* means multiply

/ means divide

plug in the values

T=26- h/500

-53 =  26- h/500

-53 -26 = h/500

-79 = h/500

-79 * 500 = h

-39500 = h

-39500 is in feet

3³/8 =

39500 / 3.375 =

11703.7037037 metres

Answer:

I don't know where can you find this question's answer.

Answer:

Here ia your answer

Hope it helps

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )

5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )

3ac + 7ab = - 5bc ( factor a out of each term on the left side )

a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)

a = - [tex]\frac{5bc}{3c+7b}[/tex]

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

(b)

p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )

pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides

(pq)² = 4r(q² - s) ← distribute

p²q² = 4rq² - 4rs ← subtract 4rq² from both sides

p²q² - 4rq² = - 4rs ( multiply through by - 1 )

4rq² - p²q² = 4rs ← factor out q² from each term on the left side

q²(4r - p²) = 4rs ← divide both sides by (4r - p²)

q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )

q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]

Answer:

x = 1/4

Step-by-step explanation:

-6x –(-9 – 4x) = -2(3x – 5)

-6x + 9 + 4x = -6x + 10

-2x + 9 = -6x + 10

-2x + 6x = 10 - 9

4x = 1

x = 1/4

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

Answer:

[tex]{ \underline{ \sf{true}}}[/tex]

Answer:

The perimeter of a rectangle can be calculated by adding both lengths, and both widths

Step-by-step explanation:

Answer:

Solution given:

-2b(-7)=11

open bracket

-2b*-7=11

+14b=11

divide both side by 14

14b/14=11/14

b=11/14

Answer:

[tex] - 2b ( - 7) = 11 \\ - 2b \times - 7 = 11 \\ 14b = 11 \\ b = \frac{11}{14} \\ thank \: you[/tex]

Answer:

4/9 and 30/9

Step-by-step explanation:

9, 18, 27, 36

3, 6, 9, 12,

4/9 already has 9 denominator

10/3 × 3/3= 30/9

so now both numbers have common denominators.

4/9 and 30/9

Answer:

Angle ABC = 110 degrees

Step-by-step explanation:

Set angle ABC equal to the two parts and solve for x

17x + 8 = 42 + 12x - 4

17x + 8 = 12x + 38

5x = 30

x = 6

Plug in x to angle ABC and solve

17(6) + 8 = 110

Answer: [tex]\boxed {12.69 inches}[/tex]

Step-by-step explanation:

Given information

Red pencil = 4.32 inches

Blue pencil = 6.1 inches

Green pencil = 2.27 inches

Expression deducted from the question

Total length = Red pencil + Blue pencil + Green pencil

Substitute values into the expression

Total length = (4.32) + (6.1) + (2.27)

Simplify by addition

Total length = 10.42 + 2.27

Total length = 12.69 inches

Hope this helps!! :)

Please let me know if you have any questions

The sum of the length of the pencils is 12.69 inches

To Obtain the sum of the length of the pencils, we use the addition operator on the given lengths :

The sum of the lengths of the pencils :

(4.32 + 6.1 + 2.27) inches = 12.69 inches

Therefore. The total sum of the lengths of the pencils is 12.69 inches

Learn more : https://brainly.com/question/2610134

if 6 litres cost £7.20

then 1/2 of it will cost 'x'(algebraic value)

we form equation

[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]

which is equal to 0.6

Cost of 1/2 liter is £0.6.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

According to the question

Cost of 6 liters ⇒ £7.20

Cost of 1/2 liter ⇒ X

According to the unitary method

6X = [tex]7.20\times\frac{1}{2}[/tex]

X  = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]

X = [tex]\frac{3}{5}[/tex]

X = £0.6

Cost of 1/2 liter is £0.6

Find out more information about unitary method here

https://brainly.com/question/22056199

#SPJ2

Answer:

Units of Length

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m)

10 decimeters = 1000 millimeters

10 meters = 1 dekameter (dam)

Answer:

I have no idea either

Step-by-step explanation:

Answer:

6

Step-by-step explanation: We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3)=6. 1,331 is a perfect cube.

Answer:

1. Amy, Rick, Jeff, Bonnie (Bonnie wins)

2a. You're answer is correct since there is multiple ways to do it

2b. 52212 is greater than 43541 because it is a bigger number

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]64^1/4\\\\=\dfrac{64^{1}}{4} \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\ C[/tex]

[tex]\\ \rm\Rrightarrow 2x+15=2x-15[/tex]

[tex]\\ \rm\Rrightarrow 2x-2x=-15-15[/tex]

[tex]\\ \rm\Rrightarrow 0=-30[/tex]

Hence

[tex]\\ \rm\Rrightarrow x=\infty[/tex]