Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

The total work required to fill all the shelves by multiplying the work done for each shelf by the total number of shelves: Total work = Work per shelf x Number of shelves= 61.6 J x 4 shelves= 246.4 J Therefore, it requires 246.4 joules of work to fill all the shelves.

The library shelf is made up of five shelves. The first shelf is 15 cm off the ground, and the other four shelves are spaced 38 cm apart. The average book has a height of 22 cm and a mass of 1.40 kg.
Each shelf can hold up to 28 books placed vertically, To solve this problem, we need to find the total amount of work required to move all books from the floor to the shelves. We can calculate the work done using the following formula:
Work = Force x Distance Since the books are initially lying flat on the floor, we need to lift them up to each shelf.
Therefore, the force required to lift the books is equal to the weight of all the books, which is given by:Force = mass x gravity where gravity is the acceleration due to gravity and is equal to 9.81 m/s^2.
The mass of each book is 1.40 kg, and the total number of books that can be stored on each shelf is 28 books.
Therefore, the mass of books on each shelf is given by:
mass of books on each shelf = 1.40 kg/book x 28 books= 39.2 kgNow, we can calculate the force required to lift the books on each shelf using:Force = mass x gravity= 39.2 kg x 9.81 m/s^2= 385 N
To find the work required to lift all the books onto each shelf, we need to multiply the force required by the distance lifted.
The distance lifted for each shelf is given by:Distance = shelf height - book height= 38 cm - 22 cm= 16 cm= 0.16 m

Learn more about Total work here,
https://brainly.com/question/31145865

#SPJ11

Answer:

mabe try $24.10

Step-by-step explanation:

Answer:

as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24

I'm in middle school duno

Answer:

Step-by-step explanation:

Get good

its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

Answer:

The answer is C. 2/6+4/6+5/6

Step-by-step explanation:

2/6+4/6=6/6 which is 1 and then 1 + 5/6 = 1 5/6

Answer:

x=−286

Step-by-step explanation:

22=(x)/(-13) just follow the order

Answer:

Pythagorean theorem: a^2 + b^2 = c^2, a and b are the sides, c is the hypotenuse (longest side).

27^2 + 25^2 = x^2

Solving for x, we see that it is approximately 36.8.

Let me know if this helps!

Answer:

The vertices of both where they cross show (-4,1)

Step-by-step explanation:

3y > 2x + 12

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

= x> -5

set = together

x < 3(y - 4)  / 2  shows dotted ascending line attached through x=-6

This means x=--6 y = 0

x>-5 shows boundary dotted vertical line through -5

this means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.

As seen attached when both are plotted with dash dotted boundary lines.

The vertices of both show (-5,1)

Answer:

The answer is "21"

Step-by-step explanation:

mn + 3r

m = 5

n = 4

r = 1/3

Now just substitute the values given in the question into the equation

5(4) + 3(1/3)

Multiply 5 and 4 to get 20

20 + 3(1/3)

3(1/3) cancels out and becomes 1

20 + 1

Add 20 and 1

21

So "21" is your answer

Answer:

Area: 531 in²

Circumference: 82 in

Step-by-step explanation:

Given:

To find:

Area of Circle:

\(\displaystyle \large{A=\pi r^2}\)

Therefore:

\(\displaystyle \large{A=3.14 \cdot 13^2}\\\displaystyle \large{A=530.66 }\)

Round to nearest whole number:

Therefore, the area is 531 inches squared

Circumference of Circle:

\(\displaystyle \large{C=2\pi r}\)

Therefore:

\(\displaystyle \large{C=2\cdot 3.14 \cdot 13}\\\displaystyle \large{C=81.64}\)

Round to nearest whole number:

Hence, the circumference is 82 inches

When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

To know more about the time taken:

https://brainly.com/question/29364966

#SPJ4

Step-by-step explanation:

the graphic tells us that AOB = COD.

that means

4x - 2 = 2x + 12

2x = 14

x = 7

so,

AOB = 4x - 2 = 4×7 - 2 = 28 - 2 = 26°

BOC = 5x + 15 = 5×7 + 15 = 35 + 15 = 50°

COD = 2x + 12 = 2×7 + 12 = 14 + 12 = 26° (as expected)

Answer:

Thanks for the points

Step-by-step explanation:

Step-by-step explanation:

x2^+8x=-20

9x^2=20

x^2=20-9

x^2=11

√x^2=√11

x=√11

.......................

Answer:

Step-by-step explanation:willits A

Answer:

b=5

Step-by-step explanation:

9=7+a

-7

2=a

a+8=b+5

10=b+5

-5

5=b or b=5

The probability that the experiment results in an outcome less than 40 is 0.25.

To calculate the probability, we need to determine the range of outcomes that are less than 40 out of the total range of 30 to 80. The total range is 80 - 30 = 50. The range of outcomes less than 40 is 40 - 30 = 10.

To find the probability, we divide the range of outcomes less than 40 by the total range:

Probability = (Range of outcomes less than 40) / (Total range)

          = 10 / 50

          = 0.2

Therefore, the probability that the experiment results in an outcome less than 40 is 0.2 or **20%**.

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100

The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Learn more about Trigonometry here:

https://brainly.com/question/25618616

#SPJ1

The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

Learn more about height anchor drops here:

https://brainly.com/question/28706489

#SPJ1

The correct order of the ratios from the least to the greatest is given below:

4/2, 11 to 2, 22:3, 30/4, 36:5

Least to greatest: 4/2 = 2, 11:2 = 5.5, 22:3 = 7.33, 30:4 = 7.5, 36:5 = 7.2

15/4, 19 to 5, 53/15, 4:1, 18 to 6

Least to greatest: 15/4 = 3.75, 19:5 = 3.8, 53:15 = 3.53, 4:1 = 4, 18:6 = 3

7:11, 8:12, 6:10, 1/2, 7:4

Least to greatest: 7:11 = 0.6364, 6:10 = 0.6, 8:12 = 0.6667, 1/2 = 0.5, 7:4 = 1.75

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Therefore,

The ratios listed in the question are ordered from least to greatest by converting each ratio into a decimal and comparing the values.

In each case, the fraction is divided, the ratio of two numbers is expressed as a decimal, and then the decimals are ordered from least to greatest.

For example, in the first list, the ratio "11 to 2" is expressed as the decimal 11/2, which is equal to 5.5. The other ratios are similarly expressed as decimals and then ordered to get the final answer.

Read more about ratios here:

https://brainly.com/question/13513438

#SPJ1

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

\(S_1 = \frac{a+b}{2}h = \frac{7+9}{2}*5=\frac{18*5}{2}= 9 * 5 = 45~m^2\)

\(S_\triangle = \frac{ab}{2} = \frac{5*9}{2} = \frac{45}{2} = 22,5~m^2\)

\(S = S_1 + S_\triangle = 45 + 22,5 = 67,5~m^2\)

Answer: 67,5 m².

Answer:

Rat rat rat rat:)

Step-by-step explanation:

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

Answer:

k= 7

Step-by-step explanation:

First let's add like terms: a+b+a=c: a²+b=c

k+9+5=21

k+14=21

Subtract 14 from both sides of the equation

k+14-14=21-14

K=7

Hi!

\(\tt{9+k+5=21}\)

Step 1: Combine like terms.

\(\tt{9+5+k=21}\)

\(\tt{14+k=21}\)

Step 2: Subtract 14 from both sides.

\(\tt{k=7}\) \(\checkmark\)

Have a great day!

Hope that helps. :)

-Stargazing & daydreaming -

Answer:

m=0.5

Step-by-step explanation:

Copy the equation.

3.6m-2.7=-1.8m

Subtract 3.6m from both sides.

-2.7=-5.4m

Divide by -5.4 on both sides.

0.5