What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm

Answer:

16.7 units

Step-by-step explanation:

To get AC, we can use the sine rule here

BC/sine 86 = AC/sin 68

18/sine 86 = AC/sine 68

AC = (18 * sine 68)/sine 86

AC =16.73 units

Answer:

3^2 = 3 x 3 = 9

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]Answer: 81[/tex]

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hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

b + 70  = 180   {Supplementary angles}

b = 180 - 70

b = 110

a +b = 180   {Linear pair}

a + 110 = 180

a = 180 - 110

a = 70

d + 60 = 180  {linear pair}

d = 180 - 60

d = 120

c + d + 60 = 360   {one point angle}

c + 120 + 60 = 360

c + 180 = 360

c = 360 - 180

c = 180

f + 60 = 180   {Supplementary angles}

f = 180 - 60

f = 120

Answer:

A) 5

Step-by-step explanation:

We are given that:

[tex]x^2+kx+6=(x+n)(x+3)[/tex]

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]

Hence:

[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]

The coefficients of each term must be equivalent. In other words:

[tex]k=n+3\text{ and } 6=3n[/tex]

Solve for n:

[tex]n=2[/tex]

Now, we can solve for k:

[tex]k=(2)+3=5[/tex]

Our answer is A.

Answer:

[tex]Area = 60x - x^2[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 120[/tex]

[tex]Side\ 1 = x[/tex]

Required

The area of the garden

First, we calculate the length of the other side using:

[tex]Perimeter = 2 *(Side\ 1 + Side\ 2)[/tex]

This gives:

[tex]120 = 2 *(x + Side\ 2)[/tex]

Divide both sides by 2

[tex]60 = x + Side\ 2[/tex]

Make Side 2 the subject

[tex]Side\ 2 = 60 - x[/tex]

So, the area of the garden is:

[tex]Area = Side\ 1 * Side\ 2[/tex]

[tex]Area = x * (60 - x)[/tex]

Expand

[tex]Area = 60x - x^2[/tex]

Answer:

x = 9

Step-by-step explanation:

The central angle is equal in measure to the arc that subtends it, that is

9x - 1 = 80 ( add 1 to both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Step-by-step explanation:

it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe

Answer:

A) 100+55x > 150+51x

B) x>12.5

C)13

Step-by-step explanation:

Bc I said so lol :)

Answer:

again hello dude :D

answers are at the photos

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey ツ

Answer:

72 m^2

Step-by-step explanation:

Perimeter = 36

Length + width = 18

w + w + 6 = 18

2w + 6 = 18

2w = 12

w = 6

Length + 6 = 18

Length = 12

Area = 6 * 12 = 72 m^2

Answer:

the answer is 0.0002 kilograms

Step-by-step explanation:

Answer:

[tex]3600[/tex]

Step-by-step explanation:

One is asked to find the cost of a vacation when given the following information;

Travel: 150

Hotel: 50 per day

Spending money: 250

One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.

- Each cost is per person, therefore one will have to multiply the cost by the number of people.

- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.

- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people

- The spending money is for the entire vacation and not per day.

With these assumptions, one can form the following equaton;

x = number of people = 4

y = number of days = 7

[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]

Substitute,

[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]

[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]

Simplify,

[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]

[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]

Step-by-step explanation:

(0,5) and (-2,-3)

y=mx+b

find m

[tex] \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - ( - 3)}{0 - ( - 2)} \\ = \frac{8}{2} \\ = 4 \\ [/tex]

m=4

Substitute (0,5) or (-2,-3)

For easy processing substitute : (0,5)

y=4x+b

5=b

y=4x+5 is the answer

Brainliest please~

Answer:

1.1 gallons of paint

Step-by-step explanation:

The wall measures;

21 foot by 17 foot

Thus, area of wall = 21 × 17 = 357 ft²

Circular area has a radius of 5 ft.

Thus;

Area of circle = πr² = π × 5² = 78.54 ft²

Total area covered = 357 + 78.54 = 435.54 ft² ≈ 436 ft²

A gallon of paint can cover 400 ft²

Thus gallons Muhammad would need = 436/400 = 1.09 gallons ≈ 1.1 gallons

Answer:

(c)

Step-by-step explanation:

Put all numbers in the same side

5d^2-3d^2+4d+2d-4-3=0

2d^2+6d-7

Answer: False

Step-by-step explanation:

If you graph this using Desmos, you can clearly see that for every x value, there are multiple y values.

A function has only one output(y) for every input(x)

True, The function f(x) = 3/x + 7x is a polynomial.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

The function : f(x) = 3/x + 7x

Simplifying,

f(x) = 3/x + 7x

f(x) = (3 + 7x²)/x.

And it is a polynomial with the variable x.

Therefore,  it is a polynomial with the variable x.

To learn more about the Polynomials;

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Answer:

angle 1

Step-by-step explanation:

Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.

This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.

Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.

Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{8}{m}-\frac{b}{n}\\\\\rightarrow \text{Adjust based on LCM}\\\text{LCM: } mn\\\\\frac{8n}{mn}-\frac{bm}{mn}\\\\\boxed{\frac{8n-mb}{mn}}[/tex]

Hope this helps.

Answer: 3

Step-by-step explanation:

Let the number be x.

4*(x squared) = 12x

Divide both sides by 4,

X squared = 3x,

divide both sides by x,

X=3

Answer:

A

Step-by-step explanation:

Two angles whose sum is 90° are complementary angles.

∠ A + ∠ B = 36° + 54° = 90°

Then ∠ A and ∠ B are complementary angles

The solution is: If the measure of < A is 36 °, and the measure of < B is

54 ° , then < A and < B are a. complementary angles

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, we have,

Two angles whose sum is 90° are complementary angles.

∠ A + ∠ B

= 36° + 54°

= 90°

so, we get,

Then ∠ A and ∠ B are complementary angles

Hence, The solution is: If the measure of < A is 36 °, and the measure of < B is  54 ° , then < A and < B are a. complementary angles

To learn more on angle click:

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Hello,

It is the Fibonacci 's suit.

[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]

Answer:

angles Q and Q' are congruent, angles R and R' are congruent

Step-by-step explanation:

For two triangles to be congruent, we need to show is two of the  

1. corresponding angles are congruent,

or,

2. all three pairs of corresponding sides are proportional,  

or,

3. two pairs of corresponding sides are proportional AND the included angles are congruent.  

And, angles are always congruent when a figure is dilated

(satisfies the first criterion that at least two corresponding angles are congruent)

Answer:

1

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following digit;

3,536.655

Starting from the right (after the decimal), we would determine the place value of each number.

* These are the values that are required for this calculation.

Thus, 6 = 1 * 6

In 3,536.655, the value of the digit in the tenths place is equal to one (1) times the value of the digit in the ones place.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]

x = 10/3

Answer:

3

Step-by-step explanation:

Answer:

x = 5 and y = 3

Step-by-step explanation:

5x - 3y = 16

3x - y = 12 multiply second equation by (-3)

(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)

-9x + 3y = -36 now subtract this from the first equation

5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)

-4x = -20 and 4x = 20 divide both sides by 4

x = 5 if 3x - y = 12 then 3*5 - y = 12

15 - y = 12

-y = -3 and y = 3

Answer:

$1.35

Step-by-step explanation:

multiply 9 by 15% which relates to .15. so 9×0.15 is $1.35

Answer: 9 times .15=1.35

15% of $9 is 1.35

Step-by-step explanation:

Answer:

[tex](f+g)(1)=0[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]

And we want to find the value of (f + g)(1).

Recall that this is equivalent to:

[tex]=f(1)+g(1)[/tex]

According to the set, f(1) = -1 and g(1) = 1. Hence:

[tex]=(-1)+(1)=0[/tex]

Answer:

25

Step-by-step explanation:

x + 25 = 50

=> x = 50 - 25

=> x = 25

Answer:

x = 25

Step-by-step explanation:

x + 25 = 50

Solve for x;

Step 1 :- Move 25 to the right-hand side and change their sign.

Step 2 :- Subtract 25 from 50.

5/9 of mass of metalx=7kg

5/9*mass ofmetal x=7kg

divide both sides by 5/9

value of mass metalx=63/5

2/7 of mass metalx=?kg

2/7*63/5=126/35kg=3.6kg