5.
What is the area of the shaded region?
10 m
12 1
14 m2
134 m2
C
120 m-
D
106 m-

Answer:

1. A commercial air carrier determines that the maximum angle of depression of a plane descending to an airport is 11°. Determine horizontal distances

Step-by-step explanation:

Step-by-step explanation:

pressure = F/A

= 750/ (1.7×9)

= 49 N/m²

Answer:

[tex]\sf \boxed{\bold{x=1}}[/tex]

Explanation:

[tex]\rightarrow \sf 7 log_9 (x + 8) = 7[/tex]

divide both sides by 7

[tex]\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}[/tex]

simplify the following

[tex]\sf \rightarrow \log _9\left(x+8\right)=1[/tex]

apply log rules                   [tex]\underline{The \ rule}: \ \bold{log_{b} (a)= c} \ \ \Longrightarrow \sf a = b^c[/tex]

[tex]\sf \rightarrow x+8 = 9^1[/tex]

simplify

[tex]\sf \rightarrow x+8=9[/tex]

subtract both sides by 8

[tex]\sf \rightarrow x=1[/tex]

[tex]\\ \rm\Rrightarrow 7log_9(x+8)=7[/tex]

[tex]\\ \rm\Rrightarrow log_9(x+8)=1[/tex]

[tex]\\ \rm\Rrightarrow x+8=9^1[/tex]

[tex]\\ \rm\Rrightarrow x+8=9[/tex]

[tex]\\ \rm\Rrightarrow x=9-8[/tex]

[tex]\\ \rm\Rrightarrow x=1[/tex]

The constant of variation given that  r varies directly with p and inversely with the product of s and t is one-half

r ∝ p ∝ 1/st

r ∝ p / st

r = Kp / st

Cross multiply

r × st = Kp

Divide both side by p

K = rst / p => constant of variation

K = rst / p

K = (18 × 1/6 × 2) / 12

K = 6 / 12

K = 1 / 2 = one-half

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Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

Part 1

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

[tex]\frac{3x}{3} = \frac{-12+6y}{3}[/tex]

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

Part 2

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

Answer:

 x = -3 , - 15

Step-by-step explanation:

Given:

x² + 18x + 45 = 0

Solve:

[tex]x_{1,\:2}=\frac{-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45}}{2\cdot \:1}[/tex]

Simplify

[tex]-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45=12[/tex]

[tex]x_{1,\:2}=\frac{-18\pm \:12}{2\cdot \:1}[/tex]

Separate the solution

[tex]x_1=\frac{-18+12}{2\cdot \:1},\:x_2=\frac{-18-12}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-18+12}{2\cdot \:1}=-3[/tex]

[tex]x_2=\frac{-18-12}{2\cdot \:1}=-15[/tex]

Thus, the answer are:

[tex]x=-3,\:x=-15[/tex]

Kavinsky

Answer:

DE=18

Step-by-step explanation:

The reason is because that parallelogram ABCD has most of the sides equal to each other.

The length of DB = 36 and half of 36/2 gets us DE.

DE=36/2=18

DE=18 also equals to BE=18

Diagonals of a parallelogram bisect each other

So

Putting DE=BE

Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:

a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.

It also involves the significance level, as follows.

In this problem, a t-distribution calculator for a right-tailed  with t = 2.15 and 25 - 1 = 24 df is used to find a p-value of 0.02.

It is less than 0.05, hence option a is correct.

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Answer:

about 2195 bacteria

Step-by-step explanation:

After one hour: 800 * 1.4 = 1120

After two hours: 1120 * 1.4 = 1568

After three hours: 1568 * 1.4 = 2195.2

Answer:

Step-by-step explanation:

The graph that represents the function

f(x) = (x + 4)(x + 1)(x - 3)

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with three sides of a triangle that are as follows ,

And we are asked to :

We know that for finding perimeter of any shape we must have to add all the sides of the shape or ,

[tex] \qquad \: \underline{\boxed{\frak{Perimeter = Sum \: of \: all \: sides}}}[/tex]

Solution : -

( a )

Now adding all the three sides of triangle to find the perimeter .

[tex] \hookrightarrow \quad \: ( x + 5 ) + ( 2 x + 4 ) + ( 2x - 3 ) [/tex]

[tex] \hookrightarrow \quad \: \: x + 5 + 2x + 4 + 2x - 3[/tex]

Combining like terms :

[tex] \hookrightarrow \quad \:x + 2x + 2x + 5 + 4 - 3[/tex]

Now , solving :

[tex] \hookrightarrow \quad \: \red{\underline{ \boxed{ \frak{(5x + 6) \: cm}}}}[/tex]

( b )

Now , we are finding perimeter of triangle when value of x is 10 . So substituting value of x in given sides of triangle ,

First Side :

Second Side :

Third Side :

So , all the sides are 15 cm , 24 cm and 17 cm .

Now , adding all these to find perimeter .

[tex] \hookrightarrow \qquad \: 15 + 24 + 17[/tex]

[tex]\hookrightarrow \qquad \: 39 + 17[/tex]

[tex]\hookrightarrow \qquad \: \red{\underline{\boxed{\frak{56 \: cm}}}}[/tex]

Alternative Solution : -

As above we have find the perimeter of triangle in term of x that is ( 5x + 6 ) cm. So we can put value of x as 10 in this to get perimeter. So ,

Therefore, perimeter of triangle is 56 cm .

To find the perimeter of a shape, we should add all sides , like so :

x+5+2x+4+2x-3

Combine the x's :

x+2x+2x+5+4-3

x+4x+9-3

5x+6

5x+6 cm

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b.

Find the perimeter of the triangle if x = 10

Just write 10 instead of x :

5(10)+6

5(10) simplifies to 50 ↓

50+6

56

hope helpful ~

The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

The complete question is, Let x = 0.147 and let y = [tex]0.\overline{147}[/tex].  Is x a rational number? Is ya rational number? Which is larger, x or y?

Given the value of x is 0.147. As it can be written in the form of a fraction,

[tex]0.147 = \dfrac{147}{1000}[/tex], we can conclude that x is a rational number.

The value of y = [tex]0.\overline{147}[/tex] can also be written in the form of a fraction,

[tex]0.\overline{147} = \dfrac{147}{999}[/tex], therefore, we can conclude that y is also a rational number.

The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

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Answer:

x=11

Step-by-step explanation:

3x−45=−12

Add 45 to each side

3x−45+45=−12+45

3x = 33

Divide each side by 3

3x/3 = 33/3

x=11

Answer:

27 revolutions

Step-by-step explanation:

Things to remember :

Solving

Answer:

see below

Step-by-step explanation:

Area = pi r^2     r = radius

  diamter = 94    then radius = 94/2 = 47 cm

area = pi (47)^2 = 2209 pi    or 6939.78  cm^2

Answer:

A ≈ 6,939.8 cm²

Step-by-step explanation:

Given : " the diameter is 94cm "

d = 94

Radius is r = d/2 = 94/2 = 47 cm

Area of a circle is

A= π·r²

A = π·47² ≈ 6,939.8 cm²

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

a) if the population is 3000 and it is being multiplied 1.15 than it is 15%. I found this by multiplying 1.15 by 100 to make it percent than anything over 100 is an increase.

b)im not so sure on this one but I think if t = 0 than it would be p= 3000 x 1.15 x0 which would equal 0

c) p = 3000x 1.15 x 24 p = 82,800

The answer is A.thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve.

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

The difference between the linear model and the exponential model is the degree of difference of consecutive points. If their difference is constant, then it is more appropriate for the linear model. If their difference is increasing at a very fast rate, then that follows an exponential model. With that being said, let's look at the differences at every 6 month-intervals.

2700-2110 = 590

2110-1500 = 610

1500-870 = 630

870-220 = 650

Their differences are about the same having a mean of 620. Thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve. The answer is A.

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Answer:

A is the correct answer

Step-by-step explanation:

Answer:

The volume of the cylinder is 141.23 cubic feet

Step by step explanation :

Given-

Now, we know that

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = [tex] \frac{22}{7} \times {3}^{2} \times 5[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 5[/tex]

[tex] = 141.428571[/tex] ( approximately )

[tex] = \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }[/tex]

Step-by-step explanation:

y=(8-4x)/2

y=4-2x

I hope it helps

Answer:

y = 4 - 2x

Step-by-step explanation:

4x + 2y = 8

Subtract 4x on both sides,

2y = 8 - 4x

Divide 2 on both sides,

y = ( 8 - 4x ) / 2

y = 4 - 2x

Answer:

77

Step-by-step explanation:

75% of 44 = 33

33 + 44 = 77

Answer:

77.

Step-by-step explanation:

75% of 44

= 3/4 * 44

= 33

33+44

= 77.

Answer:

see explanation

Step-by-step explanation:

2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.

6

BE × ED = AE × CE , that is

10 × 3x = 12(2x + 1) ← distribute parenthesis by 12

30x = 24x + 12 ( subtract 24x from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

then

ED = 3X = 3(2) = 6

7

RJ × JP = SJ × JQ , that is

6 × 3x = 4(4x + 1) ← distribute parenthesis by 4

18x = 16x + 4 ( subtract 16x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

then

RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12

To find the straight time pay for two weeks,

we'll multiply the amount per hour to the number of working hours

hence,

___________________________________

The Straight time pay of one week would be ,

___________________________________

Straight time pay of a month would be,

___________________________________

Weeks no is not of any use here

Straight time pay:-

The Brelynn can cut 9 pieces from the piece of ribbon that is 3/4 yard long of 1/12 yard.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's assume Brelynn can cut x pieces from the piece of ribbon that is 3/4 yard long.

So from the problem:

[tex]\rm \frac{\frac{3}{4} }{x} = \frac{1}{12}[/tex]

[tex]\rm \dfrac{3}{4} = \dfrac{x}{12}[/tex]

x = 9 pieces

Thus, the Brelynn can cut 9 pieces from the piece of ribbon that is 3/4 yard long of 1/12 yard.

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Answer:

The value of a side = 5

Step-by-step explanation:

By using PGT theoram

H² = P² + B²

=> 13² = a² + 12²

=> 13² - 12² = a²

=> 169 -144 = a²

=> 25 = a²

=> √25 = a

=> 5 = a

Answer:

a = 5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take square root of both sides )

a = [tex]\sqrt{25}[/tex] = 5

Answer:

14x+6+(5x+30+=2190

Step-by-step explanation:

Answer:

1) surface area = 2 · π · r · (r + h)

2) 8x5x6x14x8.94

3) surface area = 2 · π · r · (r + h)

4) 8x14x6

5) 4x4x8

6) 7x8.95x13

7) 3x4x11x3.61 divide by 2

8) 6x6x6 = 36x6 = 216

9) 3x4x10

Step-by-step explanation:

[tex]5x+11x=16x[/tex]

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Distributive Property:

[tex](5x+10x)+(5x+1x)[/tex]

   /    \              /    \

   [tex](16x)[/tex]             [tex](6x)[/tex]

Therfore, by using the distributive property, [tex](5x+10x)+(5x+1x)[/tex], We get [tex]16x[/tex].

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Answer:

The radius is 7 cm

Step-by-step explanation:

We know the area of a circle is given by

A = pi r^2

49 pi = pi r^2

Divide each side by pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

The radius is 7 cm

Answer:

radius = 7 cm

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 49π , then

πr² = 49π ( divide both sides by π )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7