SOMEONE HELP ME I NEED HELP!

Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

Considering the diagram,

the angle of elevation of the guy wire AD 56.31 degrees

the length of the guy wire  10.8 ft

for the two guy wires 21.6 ft

length AB = 24 ft

The angle of elevation is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

Using tan, TOA

let the angle be x

tan x = Opposite / Adjacent

tan x = 9 / 6

x = arc tan 3/2

x = 56.31 degrees

The length of the guy wire

length of guy wire  = √(9^2 + 6^2) = 3√13 = 10.8 ft

for the two guy wires = 10.8 * 2 = 21.6 ft

length AB

= 6 + 12 + 6

= 24 ft

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The correct answer for this question is 70

Answer:

Step-by-step explanation:

70

Answer:

(1/2)^2= 0.25 thank you

Answer:

D. y = -2x

Step-by-step explanation:

I will be using (-2,4) for all answer choices

a. y = x + 2

4 = -2 + 2

4 = 0

This statement is false

b. y = x - 2

4 = -2 - 2

4 = -4

This statement is false

c. y = 2x

4 = 2(-2)

4 = -4

This statement is false

d. y = -2x

4 = -2(-2)

4 = 4

This statement is true

Therefore, the correct answer is d

Hope this helps!

We are given with four linear equations and need to find the best option which shows the relationship between x and y in accordance with the given table . So , for this question as their are three ordered pairs , so it will be long to put all values of x and y in every equation . So , we will be checking only for one ordered pair, let's say be 2nd i.e (1,-2)

Checking for equation one :

\({:\implies \quad \sf y=x+2}\)

\({:\implies \quad \sf -2=1+2}\)

\({:\implies \quad \sf -2=3}\)

As , it's not possible . So this option is wrong

Checking for equation two :

\({:\implies \quad \sf y=x-2}\)

\({:\implies \quad \sf -2=1-2}\)

\({:\implies \quad \sf -2=-1}\)

As , it's not possible . So this option is wrong

Checking for equation three :

\({:\implies \quad \sf y=2x}\)

\({:\implies \quad \sf -2=2\times 1}\)

\({:\implies \quad \sf -2=2}\)

As , it's not possible . So this option is wrong

Checking for equation four :

\({:\implies \quad \sf y=-2x}\)

\({:\implies \quad \sf -2=-2\times 1}\)

\({:\implies \quad \sf -2=-2}\)

As the fourth equation satisfied the ordered pair ,

Hence , Option D) y = -2x is correct

Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.

A three-dimensional object's volume is a measurement of how much space it takes up. It is a real-world physical number that can be expressed in cubic measurements like cubic metres (m3), cubic centimetres (cm3), or cubic feet (ft3). Physics, chemistry, architecture, and mathematics all use the idea of volume extensively. Volume is frequently used to refer to the amount of space that an object or substance takes up, for instance the amount of a container, the volume of either a liquid, or the quantity of a gas. Depending on an object's shape, a different formula is required to determine its volume.

given

The formula V = (1/3)r2h, where V is the volume, r is the radius of the base, and h is the height, can be used to determine the volume of a cone.

Hence, by multiplying the circumference by two, we can determine the radius of the base:

12π / 2π = 6

Thus, the base's radius is 6 cm.

Also, we are informed that the cone's volume is 96. As a result, we can get the height using the following formula for a cone's volume:

V = (1/3)r2h

96 = (1/3)(6/2)h

96 = 36 h

96 / 36 = 8/3

Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.

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Answer:

Regular

Step-by-step explanation:

The answer to this question is a regular tessellation. A regular tessellation can be explained as a cover design of the plane which is done by making use of 1 type of regular polygon.

In order To make a regular tessellation, we have to make sure that the internal angle of the polygon can divide 360. This way there won't be gaps.

Answer: regular

other answr might be polygon

Step-by-step explanation:

Therefore, the simplified form is x^3y^3z^3.

The simplified form of (x^2yz)^2xy^2z^2)/(xyz)^2 is x^3y^3z^3.
Explanation:
To simplify this expression, we first need to expand the numerator:
(x^2yz)^2xy^2z^2 = x^4y^3z^3
Now we can divide the numerator by the denominator:
x^4y^3z^3 / (xyz)^2 = x^4y^2z^2
Finally, we can simplify this expression by combining like terms:
x^4y^2z^2 = x^3y^3z^3

To simplify the given expression, we will apply the exponent rules step-by-step.
Given expression: ((x^2yz)^2 * xy^2z^2) / (xyz)^2
Step 1: Simplify the terms within the parentheses by raising them to the power indicated.
((x^4y^2z^2) * xy^2z^2) / (x^2y^2z^2)
Step 2: Multiply the numerators.
(x^5y^4z^4) / (x^2y^2z^2)
Step 3: Divide the terms with the same base by subtracting the exponents.
(x^(5-2)y^(4-2)z^(4-2))
The simplified expression is x^3y^2z^2.

Therefore, the simplified form is x^3y^3z^3.

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76 degrees Fahrenheit was found to be equal to approximately 24.4 degrees Celsius using the formula of conversion.

To convert Fahrenheit to Celsius, you can use the following formula:

Celsius = (Fahrenheit - 32) x 5/9

Plugging in 76 degrees Fahrenheit, we get:

Celsius = (76 - 32) x 5/9

Celsius = 44 x 5/9

Celsius = 220/9

Celsius ≈ 24.4

Therefore, 76 degrees Fahrenheit is approximately 24.4 degrees Celsius.

On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.

On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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The rate of change of angle of elevation between the radar station and airplane is

                       \(\displaystyle \frac{-10}{109} \left(\frac{rad}{min}\right)\)

The airplane is flying at the speed of 200 mph

The airplane is at an altitude of 3 miles over the radar station

The distance travelled by the airplane after 3 mins

      distance = speed x time

                     = 200 mi/hr x 3 min

Since the speed is hour let us convert it to mins

                     = 200 x 3 x 1/60

                     = 600 / 60

                    = 10 miles

So , let us assume that the airplane is exactly at the top of the radar station at an altitude of 3 miles

Then the elevation angle of the between radar station and airplane can be find by

                              tan θ = O / A
where O is the opposite side to the angle of elevation

          A is the adjacent side to the angle of elevation.

But we need the find the rate of change of angle of elevation , so let us differentiate on both side with respect to time

                                \(\displaystyle sec^{2}\theta\frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{A^{2}}\)

                                        \(\displaystyle \frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{sec^{2}\theta A^{2}}\)

                                       \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{sec^{2}(10)^{2}}\)

The altitude is gonna be a constant , thus the derivative of altitude will be zero whereas , the the distance travelled by airplane is changing with respect to time.

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{\frac{109}{100}(10)^{2}}\)

We had found the value of sec²θ = (hyp/adj)²

                                    \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \frac{rad}{hr}\)

Now , let us convert in terms of rad/min

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \left(\frac{1}{60}\right)\)

                                  \(\displaystyle \frac{d\theta}{dt} = \frac{-10}{109} \left(\frac{rad}{min}\right)\)    

Therefore , the rate of change of angle of elevation is -10/109 (rad/min)    

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Answer:

C. ∠1 and ∠3 are vertical angles and congruent.

Answer:

Sqrt 26 = 5.1

Step-by-step explanation:

Sqrt [(3-2)^2 + (1-6)^2]

= sqrt (1 + 25) = sqrt 26 = 5.1

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

i think it might be linear function

\( \frac{x}{7} = - 57 \\ x = - 57 \times 7 \\ x = - 399\)

The answer is -399.

\(\sf \longmapsto \dfrac{1}{7} x = - 57\)

\(\sf \longmapsto7* (\dfrac{1}{7} x)=(7)*(−57)\)

\(\sf \longmapsto \: x=−399\)

ok

MPG = 66.8

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

How much quantity of orange juice does Monique need to maintain the ratio of pineapple to orange juice?

Given that,

Quantity of pineapple juice by 20 people = 32 ounces

Quantity of orange juice by 20 people = 48 ounces

Consider the quantity Monique needs = x

Therefore, their ratio is as follow

⇒ 20/x  =  32/48

⇒ 20/x  =  2/3

⇒     x=60/2

⇒     x=30

Hence Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

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The mean is 1, variance is 0.9, and standard deviation is 0.948, rounded to three decimal places. Given data: Of all the registered automobiles in Colorado, 10% fail the state emissions test.

Ten automobiles are selected at random to undergo an emissions test.a. Find the probability:

1) That exactly three of them fail the test.

For the number of success (x) and number of trials (n),

the probability mass function (PMF) for binomial distribution is given by: \(P(X = x) = C(n, x) * p^{(x)} * q^{(n-x)},\)

where \(C(n, x) = (n!)/((n-x)! * x!) ,\)

p and q are the probabilities of success and failure, respectively. Here, the probability of success is the probability of an automobile to fail the test, p = 0.10 and the probability of failure is q = 1 - p = 0.90.

Now, X is the number of automobiles that fail the test.

Thus, n = 10, x = 3, p = 0.10, and q = 0.90.

Using the above formula:

\(P(X = 3) = C(10, 3) * (0.10)^{(3)} * (0.90)^{(10-3)}\\= 0.057\)

The required probability is 0.057, rounded to three decimal places.

1) That fewer than three of them fail the test.

The required probability is P(X < 3).P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) Using the above formula:

\(P(X = 0) = C(10, 0) * (0.10)^{(0)} * (0.90)^{(10)}\)

= 0.3487P(X = 1)

= \(C(10, 1) * (0.10)^{(1) }* (0.90)^{(9)}\)

= 0.3874P(X = 2) = \(C(10, 2) * (0.10)^{(2)} * (0.90)^{(8)}\)

 = 0.1937

Now, P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= 0.3487 + 0.3874 + 0.1937

 = 0.9298

The required probability is 0.9298, rounded to three decimal places.

1) That at least eight of them fail the test.

The required probability is

P(X ≥ 8).P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10) Using the above formula:

\(P (X = 8) = C(10, 8) * (0.10)^{(8)} * (0.90)^{(2) }\)

= 0.0000049

\(P(X = 9) = C(10, 9) * (0.10)^{(9)} * (0.90)^{(1) }\)

= 0.0000001

\(P(X = 10) = C(10, 10) * (0.10)^{(10)} * (0.90)^{(0)}\)

= 0.0000000001

Now,

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

= 0.0000049 + 0.0000001 + 0.0000000001 = 0.000005

The required probability is 0.000005,

rounded to three decimal places.

b. Find the mean, variance, and standard deviation of the number of automobiles fail the test.

The mean (μ) for binomial distribution is given by: μ = n * p,

where n is the number of trials and p is the probability of success.

The variance (\(= 1 \sigma ^ 2 = n * p * q = 10 * 0.10 * 0.90 ^2\)) for binomial distribution is given by: \(\sigma ^2 = n * p * q\)

The standard deviation (σ) for binomial distribution is given by:

σ = √(n * p * q)

Here, n = 10 and p = 0.10.

Thus, q = 0.90.

Using the above formulas:

μ = n * p = 10 * 0.10

\(= 1\sigma ^2 = n * p * q = 10 * 0.10 * 0.90\)

= 0.9σ = √(n * p * q)

= √(10 * 0.10 * 0.90)

= 0.948

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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The equation of the line in point-slope form is y - 2 = -3(x + 9), and in slope-intercept form is y = -3x - 25.

To find the equation of the line passing through(- 9,2) and parallel to the line y =  – 3x 3, we need to use the fact that  resemblant lines have the same  pitch.  

The  pitch of the given line y =  – 3x 3 is-3,

so the  pitch of the  resemblant line we want to find is also-3.   Point-  pitch form  Using the point-  pitch form, the equation of the line is given by

 y- y1 =  m( x- x1),

where( x1, y1) is the given point and

m is the  pitch.  

Substituting the given values,

we get   y- 2 = -3( x-(- 9))  

y- 2 = -3( x 9)  

y- 2 = -3 x- 27  

y = -3 x- 25

Hence in slope-intercept form is y = -3x - 25.

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The chances of winning a rare item at least once in 20 attempts is approximately 33.3%.

If you have a 2% chance of winning a rare item, and you want to know the chances after being multiplied by 20

To calculate the probability of winning the rare item at least once in 20 attempts, you can use the complement probability method.

First, find the probability of not winning the item in a single attempt, which is 1 - 0.02 = 0.98.

Then, find the probability of not winning the item in all 20 attempts by multiplying the probability of not winning in a single attempt (0.98) by itself 20 times, which is\(0.98^20.\)

Finally, subtract that result from 1 to find the probability of winning at least once in the 20 attempts.

Calculate the probability of not winning in a single attempt.

1 - 0.02 = 0.98

Calculate the probability of not winning in all 20 attempts.

\(0.98^20.\) ≈ 0.667

Calculate the probability of winning at least once in 20 attempts.

1 - 0.667 ≈ 0.333

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Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

Answer:

36 meters

Step-by-step explanation:

hope it helps bye

Answer: 9 millimeters

Step-by-step explanation:

You have the following expression:

In order to express the previous number as an expression with the imaginary unit, you consider the following:

where the square root of -1 is the imaginary unit i by definition. Thus, by replacing you obtain:

Hence, the given expression in terms of the imaginary unit is :

Answer:

A=hbb= 2

Step-by-step explanation:

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Answer:

21.75u2

Step-by-step explanation:

first use pythag for this

use rule c2=b2+a2

reverse the rule so that

b2=c2-a2

b2=100-81

b2=19

b=4.35

how u got the height of the triangle

use formula bh/2

10x4.35/2

=43.5/2

=21.75u2