The diagram shows the entrance to a tunnel.
The circular arc has a radius of 3m and center O.
AB is horizontal and angle AOB = 120°.

During a storm the tunnel filled with water, to the level shown by the shaded area in the diagram.
Calculate the shaded area.

The trigonometric expression cos (π/2 + r) is equivalent to the negative of sin r. Then the correct option is C.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The trigonometric expression is given below.

[tex]\cos (\dfrac{\pi}{2} + r)[/tex]

We know that the formula

[tex]\cos (\dfrac{\pi}{2} + r) = -\sin r[/tex]

Thus, the cos (π/2 + r) is equivalent to the negative of sin r.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C?

Step-by-step explanation:

, someone confirm

Answer:

58

Step-by-step explanation:

x=9

3(9) + 1 + 4(9) -8 + (9) - 7 = 58

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

Answer:

UM make a graph if you want so yea

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]

[tex]\\ \rm\rightarrowtail x=3,1[/tex]

Answer:

this is easy the a sewer is 12

Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

Answer: (4)

Step-by-step explanation:

The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.

Answer:

The last one

Step-by-step explanation:

Look at A and A'

It moved 4 units to the right and 1 unit down

The same with B, B' and C, C'

Answer:

25

if j 25 L is going to be 25

Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Answer:

Step-by-step explanation:

An example is a^2 - b^2.

Also 64 - 49   (as 64 are both perfect squares).

The way to factor is by using the identity:

a^2 - b^2 = (a - b)(a + b)      ( a + in one parentheses and - in the other)

Examples:

x^2 - 4y^2 = (x - 2y)(x + 2y)     [ x is the square root of x^2 and 2y is square root of 4y^2)

144 - 16 = (12 - 4)(12 + 4)

9x^2 - 36y^2 = (3x - 6y)(3x + 6y)

Answer:

its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a

Step-by-step explanation:

Answer:

A ) the Value of t is greater than 8

Step-by-step explanation:

6t>48

t>48/6

t>8

Answer:

15

Step-by-step explanation:

To answer this, simply input your values into the equation:

Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc

so, you would do 2x1.5x5

which is equal to 15

Answer: 15

Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.

Answer:

57

Step-by-step explanation:

976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346

Answer:

[tex]\sf \dfrac{x}{8}-22[/tex]

Explanation:

[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]

remove parenthesis

[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]

expand

[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]

simplify

[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]

Answer:

[tex]\frac18x-22[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac78x-4)-3(\frac14x+6)[/tex]

Expand:

[tex]\implies \frac78x-4-\frac34x-18[/tex]

Gather like terms:

[tex]\implies \frac78x-\frac34x-4-18[/tex]

Change 3/4 into eighths:

[tex]\implies \frac78x-\frac68x-4-18[/tex]

Combine like terms:

[tex]\implies \frac18x-22[/tex]

Answer:

11 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]           (Pythagorean Theorem)

[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex]  (square numbers)

[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex]  (subtract 16, both sides

[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex]        (square root both sides)

a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating

Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs

Given Data

Total surface area of cylinder = 2πr(r + h)

TSA of 1 mug = 2*3.142*2(2+3.75)

TSA of 1 mug = 12.568(5.75)

TSA of 1 mug = 72.266 square inches

if the total surface area of one mug is 72.266 square inches

hence the total surface area of 4 mugs will be

= 72.266*4

= 289.064 square inches

Learn more about cylinders here:

https://brainly.com/question/9554871

A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.

A ratio shows us the number of times a number contains another number.

Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.

Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,

[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]

Substitute the values,

[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]

Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).

Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,

The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake

The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³

                                                                               = 42.5 cm³

Hence, the amount of more material that is needed by Jake is 42.5 cm³.

Learn more about Ratios:

https://brainly.com/question/1504221

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

Answer:

197.92

Step-by-step explanation:

radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)

12² is 144 so 144Pi

9² is 81 (for the inner circle) so 81Pi

144 - 8 is 63Pi which in decimal form is 197.92.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

Learn more about triangles on:

https://brainly.com/question/17335144

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

Answer:

r = ⅙

⅙ × ⅙ = 0.03

0.03 × 3 = 0.09