Solve the following inequality using the algebraic approach )pictire provided)

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° =  244°, and it has a radius of 25.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]

Answer:

1330.81

Step-by-step explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Answer:

Volume= 4 cm³

Density= 2 g/cm³

Step-by-step explanation:

We have the following data:

volume= V= 8 cm³

mass= m= 16 g

The density is the mass per volume of a substance, so the density of the rock is:

density= d= 16 g/8 cm³= 2 g/cm³

When we cut the rock in half, we have a half volume and a half mass:

V= 8 cm³/2= 4 cm³

m= 16 g/2= 8 g

But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:

d = m/V= 8 g/4 cm³= 2 g/cm³

Work Shown:

[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]

The required value in (36,25,x) is an O'Hara triple, of x is 11.

Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple,  To determine the value of x.

In mathematics, it deals with numbers of operations according to the statements.

From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in  (36,25,x)  can be determined in the same manner.

Following the example,
√36+√25=x
6 + 5 = x
x = 11

Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

the answer for this question is -4

Take 2 points

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]

[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]

Answer:

Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)

Step-by-step explanation:

The given information are;

m∠ABC = m∠CBD

To prove that Ray BC bisects m∠ABD

The description is therefore;

Three lines (AB, BC, and BD) that meet at a point

The content of Box A = m∠ABC = m∠CBD

The content of Box B = m∠ABC ≅ m∠CBD

The content of Box C = Ray BC bisects  m∠ABD

Therefore, we have;

m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)

m∠ABC = m∠CBD (Given)

∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)

m∠ABC is adjacent to m∠CBD (Description of the angles)

Line BC is common to m∠ABC and m∠CBD (Description of the angles)

Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).

Answer:

c

Step-by-step explanation:

edg

Answer: C) X=2

Step-by-step explanation: These angles are equal because they alternate exterior angles. Set them equal to each other,  and just solve for x.

Step-by-step explanation:

[tex]16 {}^{x} = \frac{1}{64} [/tex]

[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]

[tex]2x = - 3[/tex]

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

Answer:

x = -3/2

Step-by-step explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

Answer:c

Step-by-step explanation:

Step-by-step explanation:

1: we plug in 3 instead of x. so we get

3(9)+5(3) = 42

2: we use pemdas or bedmas

27+12+1 = 40

if you have any other question feel free to ask.

Answer:

Yes

Step-by-step explanation:

You do have enough money because 2.15+0.75+2.00 is = to 4.90 and we know that 4.90 is less than 5.00

Answer:

- 28n^2  - 10

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

800g gives a better value for money

Step-by-step explanation:

To find which box which gives you better value for money

Divide the gram by the cost of the cereal

1st calculations

--› 500g ÷ $2.5

=> 200

2nd calculations

--› 800g ÷ $3.95

=> 202.5316455696202

so the question that the value is bigger which is 800g= 202.5316455696202 gives you more money value

Answer:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:

[tex]f(t) = 0.5\cdot t^{2}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:

[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]

[tex]f(9\,s) = 40.5\,ft[/tex]

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Answer:

I think A. I got (2,0) and (-0.5,0). Weird.

Step-by-step explanation:

Answer:

x

=

161

Step-by-step explanation:

Multiply both sides of the equation by

7

.

7

⋅

(

x

−

119

)

÷

7

=

7

⋅

6

Simplify both sides of the equation.

Tap for more steps...

x

−

119

=

42

Move all terms not containing

x

to the right side of the equation.

Answer:

161

Step-by-step explanation:

Step 1:

( x - 119 ) ÷ 7 = 6        Equation

Step 2:

( x - 119 ) = 42      Multiply 7 on both sides

Step 3:

x = 42 + 119      Add 119 on both sides

Answer:

x = 161        Add

Hope This Helps :)

Answer:

0.6 inches per hours

5.2 inches on the ground by 1:00 pm

Step-by-step explanation:

Let x = number of hours after midnight

Let y = height of snow (in inches)

Information presented as ordered pairs (x, y):

(6, 1)

(11, 4)

[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]

Written as a linear equation:

[tex]y-1=\dfrac35(x-6)[/tex]

[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]

1:00 pm = 13 hours after midnight

Therefore, when x = 13:

[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]

[tex]\implies y=5.2 \textsf{ inches}[/tex]

Answer:

The median would be the second 5

Therefore our answer would be 5

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions.

Answer:

C, B, A

Step-by-step explanation:

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Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )

Answer:

a = 2A / h - b

Hope that was the answer you were looking for :D

Answer:

2 minutes 16 seconds

Step-by-step explanation:

200/25=8

8x22=176

The percentage of the household survey that owned televisions is 72%. And the sample is defined below.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Random sampling is the method of selecting the subset from the set to make a statical inference.

All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be

[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

1565 households surveyed

Step-by-step explanation:

I did this on edge :)

Answer:

x=16

Step-by-step explanation:

(2x-4)+(x+5)+(3x+3)=100

6x+4=100

6x=96

x=16

Answer:

210/3+3/3

Step-by-step explanation:

210/3=70+3=73/3=71
213/3=71