Find the indicated side of the
triangle.
30°
a = [?]

help please quick

Answer:

22x + 21y = 0

Step-by-step explanation:

33x + 22y = 11x + y

Subtract y from both sides.

33x + 21y = 11x

Subtract 11x from both sides.

22x + 21y = 0

Answer:

24 boys & 20 girls

Step-by-step explanation:

Last year:

Number of boys = x

Total number = 45

Number of girls = 45 - x

An increase of 20% is the same as multiplying by 1.2

A decrease of 10% is the same as multiplying by 0.8

This year:

New number of boys: 1.2x

New number of girls: 0.8(45 - x)

New total number = 45 - 1 = 44

1.2x + 0.8(45 - x) = 44

1.2x + 36 - 0.8x = 44

0.4x + 36 = 44

0.4x = 8

x = 20

Last year there were 20 boys and 25 girls.

This year there are 20 * 1.2 = 24 boys

and 44 - 24 = 20 girls

Answer: 24 boys & 20 girls

Answer:

-2 + 2i

Step-by-step explanation:

[tex](1 + i)^{3}[/tex]

i = [tex]\sqrt{-1}[/tex]

[tex](1 + \sqrt{-1})^3[/tex]

[tex][(1 + \sqrt{-1})(1 + \sqrt{-1})] (1 + \sqrt{-1})[/tex]

distribute the first 2 expressions

(1 + 2[tex]\sqrt{-1}[/tex] - 1 ) [tex](1 + \sqrt{-1})[/tex]

distribute

1 + 2[tex]\sqrt{-1}[/tex] - 1 +

combine like terms

-2 + 2 [tex]\sqrt{-1}[/tex]

which is -2 + 2i

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Step-by-step explanation:

here's the answer to your question

Answer:

The lateral area of this square pyramid is 100 in^2

Step-by-step explanation:

The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.

In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.

AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):

1/2 x 10 x 5 = 25

Multiply that by 4 since all 4 triangular faces are similar:

25 x 4 = 100

So the lateral area of the square pyramid is 100 in^2.

Please rate my answer once you know its score! :DD

Answer:

10/100*$x

Step-by-step explanation:

You will multiply the $x by 10%

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Answer:

Yes

Step-by-step explanation:

First, we know that 40 minutes = 8 gallons filled up. We have another equation, v=2.5t, that includes time and volume. If we can make the first equation in terms of time, we can figure out the relative speeds of water entering/exiting the bathtub.

To make 40 minutes = 8 gallons in terms of t, or minutes, we can divide both sides by 8 to get

5 minutes = 1 gallon

5t = v

Therefore, for water entering the tub, we get

5t = v, and for water draining out, we get

2.5t = v

As the time is always positive, the water entering the tub (5t) will always be greater than the water exiting the tub. Therefore, as more water goes in than out, the tub will gradually increase in water level and will eventually overflow

Answer:

7 weeks

Step-by-step explanation:

b​=95+(10+9​)w

Combine like terms

b​=95+(19​)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

125 = 19w

Divide each side by 19

125/19 = w

6.578947368

Round up

After 7 week

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

Answer:

422.39

Step-by-step explanation:

[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]

use a calculator for the above and round

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \dfrac{2}{3}\times 2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(2)}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

1/1/3 of a tree

Step-by-step explanation:

30 minutes = 2/3 of a tree

Since 1 hour = 60 minutes,

60 minutes = 2/3 × 2

                   = 4/3

                   = 1/1/3 of a tree

Answer:

I think that the answer is 5

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

In matrix form, the given system is written as

[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]

and the system has no solution is the coefficient matrix is singular. The determinant is

[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]

and this is zero when k = 4/3.

On the other hand, in case you are missing a factor of z in the first equation, so that the system should read

x + y + (k - 1) z = 2

6x + 2y - 3z = 1

kx - z = -3

reframing it as a matrix equation gives

[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]

Then the determinant of the coefficient matrix is

[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]

and the determinant is zero at two values, k = (-1 ± √33)/4.

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ6

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)

Answer:

Hello,

[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]

Answer:

55%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do the subtraction in the numerator first. 6 - 8 = -2. So now we have

[tex]\frac{-2}{-4}[/tex]  negative divided by a negative is a positive and that fraction reduces to

[tex]\frac{1}{2}[/tex]

Answer:

5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8

Step-by-step explanation:

Answer:

2/1

2.5

2whole number6/4

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.

The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.

The external angle of the regular hexagon will be given as,

External angle = 360° / 6

External angle = 60°

Then the sum of the measures of the exterior angles of a convex hexagon will be

⇒ 60° x 6

⇒ 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°.

Then the correct option is A.

More about the regular hexagon link is given below.

https://brainly.com/question/1694257

#SPJ2

Answer:  Choice A) at most 2.5 ft wide

Work Shown:

16w ≤ 40

w ≤ 40/16

w ≤ 2.5

This says that the banner must be at most 2.5 ft wide (choice A)

In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.

Answer: its a

Step-by-step explanation:

brainly stop taking my answer down pls

Answer:

the larger one is 183

Step-by-step explanation:

[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]