what is equivlent to 12x+(−7)−214x−(−2)

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :

[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]θ = 30,adj. = h,hypo = 18[/tex]

[tex] \cos(30) = \frac{h}{18} [/tex]

[tex]18 \cos(30) = h[/tex]

[tex]h = 9 \sqrt{3} \: m[/tex]

Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :

[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]

[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]

[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]

[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]

Answer:

70.1

Step-by-step explanation:

This is a 30-60-90 right triangle.

The ratio of side lengths is as follows:

short leg   :   long leg   : hypotenuse

    1            :    sqrt(3)     :       2

The short leg is 1/2 the hypotenuse.

The long leg is sqrt(3) times the short leg.

A = bh/2

A = (18/2)(18/2 * sqrt(3))/2

A = 70.1

Area of a quarter of circle

A = 1/4 * π * R²

A = 1/4 * π * 12²

A = 36 * π cm²

Perimeter of a quarter of circle

P = 1/4 * 2 * π * R²

P = 1/4 * 2 * π * 12²

P = 72 * π cm

Area of a right triangle

A = b * h / 2

A = 12 * 12 / 2

A = 72 cm²

Length of hypotenuse

L = 12√2 cm

Area of blue

A = 36 * π - 72

Perimeter of blue

Hope it helps

xxx

Answer:

its

1/7

step by step

Answer:

The answer is H because there are 7 balls in total and two of which is red so the possiblity of getting the red ball is 2/7

Answer: 355

And 33 eggs

Step-by-step explanation:

8 × 40 = 320

7/8 × 40= 35 Add 35+320 = 355

2 × 12= 24 3/4 of 12 = 9

Add 9+24=33

You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.

2 3/4 becomes 4×2=8

8+3=11 Divide the other factor by the denominator: 12÷4=3

Then multiply by the "improper" numerator 3×11=33

8 7/8 becomes 71/8

40/8=5

5×71=355

Answer:

355

Step-by-step explanation:

So, you first multiply 8 with 8 = 64

Then 64 + 7 = 71

So, 71 is the numerator and 8 stays the denominator.

Now you have 71/8 *40.

You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.

Now we have 71 * 5 = 355

hope it helps!

PLEASE brainliest me!

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

Answer:

Step-by-step explanation:

You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:

Hope this helps!

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.

Given :

[tex]\rm f(x) = \sqrt{x+5}[/tex]

The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:

Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].

Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.

Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

B. 945 m^3

Step-by-step explanation:

We just need to find the volume of the big box and the small box and find the difference.

To find the volume of a box, we multiply length, width, and height

Big box:

15.3x7x10=1071

1071

Small box:

4.2x3x10=126

126

1071-126=945

945 m^3

Answer:

b

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(-3 + 3) + (-2 + 3) =

= 0 + 1

= 1

Answer:

5

Step-by-step explanation:

-32=-7n-12+3n

-32=-7n+3n-12

-32=-4n-12

-4n=-32+12

-4n=-20

n=-20/-4

n=5

Answer:

[tex]n=5[/tex]

Step-by-step explanation:

[tex]-32=-7n-12+3n\\\text{Combine Like Terms}\\-32=-7n+3n-12\\-32=-4n-12\\\text{Isolate the Variable}\\-32+12=-4n-12+12\\-20=-4n\\\text{Divide each side by -4}\\n=5[/tex]

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]

Since, diameter 'D' = 2r,

[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]

[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]

[tex]\frac{\text{C}}{12}=\pi[/tex]

Therefore, equation given in Option (B) will be the correct expression.

Answer:

17 in²

Step-by-step explanation:

We can break this figure into two smaller and easier figures:

The top figure (which has side lengths of 3 and 5), and the bottom figure (with sides of 1 and 2.)

Let's find the area of the top figure first. The width is 4 and the length is 5 so:

[tex]3\cdot5=15[/tex] in².

The bottom figure has a length of 2 and a width of 1. So:

[tex]2\cdot1=2[/tex] in².

Now we add these two:

[tex]15+2=17[/tex] in².

Hope this helped!

Answer:

17 square inches

Step-by-step explanation:

We cut the shape in to two bits to make it easier.

5 x 3 = 15 inches

2 x 1 = 2 inches

Now we add these together:

17 square inches.

I know I answered wrong in my first attempt but now I understand the question.

Hope this helps :D

Answer:

70

80

Step-by-step explanation:

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.

A = We first multiply 150 x 2.333 (2 1/3)  = 350 tbottles 60 x 2.333 = 140

B = Then multiply  350/200  = 200 x 1.75 350 tbottles  RED = 120 x 1.75=210

First answer = 210-140 = B recycles 70 more than A

C = We first multiply 175 x 2 = 350 tbottles  RED = 110 x 2 = 220

D = We first find LCM of 180 and 350

Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4  then 4 x 35 = 140

Second answer = 220-140 = C recycles 80 more than D.

Answer:

Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.

Hope this helps!

Sorry for answering so late!

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Hey there!

Well angles like 142 and 2x + 22 equal each other because they are across from each other.

So we can set up the following,

142 = 3x + 22

Single out x

-22 to both sides

120 = 3x

Divide both sides by 3

x = 40

Hope this helps :)

Answer:

x=40

Step-by-step explanation:

142=3x+22

3x+22-22=142-22

3x=120

120/3=40

Answer:

x = ± 6

Step-by-step explanation:

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ± 6

Answer:

[tex]\large \boxed{\boxed{x=\pm 6}}[/tex]

Step-by-step explanation:

[tex]x^2 =36[/tex]

Take the square root on both sides.

[tex]\sqrt{x^2} =\pm \sqrt{36}[/tex]

Simplify.

[tex]x=\pm 6[/tex]

Answer:

[tex] y = 4x + 3 [/tex]

Step-by-step explanation:

The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .

When x = 0,

[tex] y = 4(0) + 3 [/tex]

[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.

Let's try another.

When x = 2,

[tex] y = 4(2) + 3 [/tex]

[tex] y = 8 + 3 [/tex]

[tex] y = 11 [/tex]

This also corresponds with what we have in the table.

Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Answer:

$12165.97

Step-by-step explanation:

100 + 4.1 = 104.1%

104.1% = 1.041

$5670 x 1.041^19 = $12165.97

Answer:

daily

Step-by-step explanation:

To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.

5670(1+0.041/365)^(365*19)

= 12356.04

365= daily

so your answer would be that the interest compounds daily.

Answer:

Camel's shadow is growing at a rate of 8 ft/sec.

Step-by-step explanation:

Given:

Height of camel = 8 ft

Height of streetlight = 20 ft

Speed of camel = 12 ft / sec

To find:

How fast is the camel's shadow growing = ?

Solution:

First of all, have a look at the image attached for the situation as given in the question statement.

PQ be the streetlight.

AB be the camel.

Camel is loping away from the streetlight.

BT will be the shadow of the camel.

We are given that speed of camel = 12 ft / sec

And we know that Speed is the Rate of change of distance w.r. to time.

i.e. as per the image, we are given:

[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]

And we have to find the value of:

[tex]\dfrac{ds}{dt} = ?[/tex]

(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)

Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:

Ratio of corresponding sides will be same.

[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]

Now, differentiating w.r.to t:

[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]

Camel's shadow is growing at a rate of 8 ft/sec.

Answer:

$319.93

Step-by-step explanation:

We can find the total cost of the game system by multiplying the price before tax by 1.07.

299(1.07) = 319.93

= $319.93

Answer:

48

Step-by-step explanation:

a=2

b=3

3a^2+4b^2

3(2)^2+4(3)^2

3(2)(2)+4(3)(3)

3(4)+4(9)

12+36

48

Hope this helps ;) ❤❤❤

Answer:

C

Step-by-step explanation:

C is the only situation in which there is a clear constant of proportionality and no offset (no initial value).  Claires rate is ($4.50 + $0.30)/book, or $4.80/book.

Answer:

Step-by-step explanation: The time at which the temperature is below 0°C is 3:00

The time with the highest temperature is 4:00 The temperature at 3:00 is closer too zero than the temp at 4:00

Answer:

33.3

Step-by-step explanation:

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

Step-by-step explanation:

-16t2 + 47t + 3 = 0

-16t2 + 48t - t + 3 = 0

-16t( t - 3) - 1 ( t - 3) = 0

-16t - 1 = 0. t - 3 = 0

-16t = 1 t = 3

t = 1/ - 16.

Answer:

B

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

Answer:

The answer is B) 97 units

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)