Tricia did such an exceptional job creating logos that she was given the task of making a banner and representing her company at a job fair. When Tricia got to the job fair, she was relieved to see there was a ladder she could use to hang the banner. While Tricia waited for someone to help her, she leaned the 12-foot ladder against the wall behind the booth. The ladder made an angle of 75 degrees with the floor. Set up and solve an equation to find how far up the wall the top ladder reaches.

Answer:

yes

Step-by-step explanation:

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

240 sq. ft

Step-by-step explanation:

Area = length * width

        = 12 *20

       = 240 sq. ft

Answer:

Part A - he will need 2 cups of sugar  

Part B - 12 : 6 : 3

Step-by-step explanation:

Part A :

8 divided by 4 is 2

Part B :

Multiply all the numbers by 3

Hope this helped! :)

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

By using '' ASA congruency theorem'' these triangles are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles are shown in figure.

Now, We have to given in both triangles,

Two angles are equal to each other.

And, One side of both triangles are common.

Hence, By using ''ASA congruency theorem'' these triangles are congruent.

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Answer:

Step-by-step explanation:

Hello,

\(y=\sqrt{x}\)

Just to say that this is only defined for \(x\geq 0\)

Thanks

The expression y is equal the the square of x can be written algebraically in the form y = x²

Given:

y is equal the the square of x

Square of x

= x²

y is equal the the square of x

y = x²

Therefore, y is equal the the square of x is written algebraically as y = x²

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Step-by-step explanation:

The prime 43 appears in the sixth twin-prime pair 41, 43. As a sum of four or fewer squares: 43 = 32 + 32 + 52 = 12 + 12 + 42 + 52 = 32 + 32 + 32 + 42. ... As a difference of two squares: 43 = 222 − 212.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer: Does it specify how long his short bumper stickers are?

Step-by-step explanation:

Answer:/Step-by-step explanation:

10. Write the phrase "20 divided by x minus 3 is 12" as a variable expression.

  20

---------- = 12

 x - 3

11. Write the phrase "4 plus the quotient of 9 and y equals 6" as a variable expression.

4 + (9 ÷ y) = 6

I hope this helps!

Answer:

54637737636553363666

The unknown values in the triangle is calculated to be

PL = 14.3 cm

CY = 7.74

NY = 9.9 mm

LJ = 8.3

The unknown values in the triangle is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

1. using Sin = opposite / hypotenuse - SOH

sin x = PL / PX

sin 54.25 = PL / 17.62

PL = sin 54.25 * 17.62

PL = 14.3 cm

2. using Tan = opposite / adjacent - TOA

tan 52.67 = CY / 5.9

tan 52.67 * 5.9 = CY

CY = 7.74

3. using Sin = opposite / hypotenuse - SOH

sin 33.06 = YC / NY

NY = 5.4 /  sin 33.06

NY = 9.9 mm

4. using Tan = opposite / adjacent - TOA

tan 55.05 = LJ / VJ

tan 55.05 * 5.8 = LJ

LJ = 8.3

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Answer: \(no\)

Step-by-step explanation: \(3/4=75%\)%

\(7/10=70%\)%

\(they\) \(are\) \(different\) \(numbers\)

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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P(-2.33 ≤ z ≤ 2.33) = 0.98 for a standard normal random variable Z.

We are aware that the area under the curve between - and - is equal to 1 for a standard normal random variable Z.

The task of finding a number for z0 such that P(-z0 z z0) = 0.98 is given to us.

We can divide the area of 0.98 evenly between the two tails of the distribution since the normal distribution is symmetric around the mean.

(1 - 0.98 / 2) = 0.01 would be the area in each tail.

We can determine the z-score that corresponds to the area of 0.01 by using a calculator or a conventional normal distribution table. An area of 0.01 equates to a z-score of roughly -2.33.

Thus, z0 would have the value:

z0 = -(-2.33) = 2.33

Hence, for a typical normal random variable Z, P(-2.33 z z 2.33) = 0.98.

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Answer:

From greatest to least:

0.(4), 0.4, 1/4, 4%

Step-by-step explanation:

Easiest way is to turn all of them into fractions.

1/4- Already in fraction form

0.4- 4/10 or 2/5

4%- 4/100 or 1/25

0.(4)- 4/9

Make all of them have 900 as a denominator.

1/4*225/225=225/900

2/5*180/180=360/900

1/25*36/36= 36/900

4/9*100/100= 400/900

Now you can compare.

0.(4) is greatest

0.4 is next greatest

1/4 is third greatest

4% is the least

Hope this helps! :)

The factored form of the expression

\(9u^2 + 30uv + 100v^2 \ is\ 3u(3u + 4v) + 5v(5v + 6u).\)

The expression \(9u^2 + 30uv + 100v^2\)is a quadratic trinomial. It can be factored using the following steps:

Step 1: Look for common factors, if any. In this case, there are no common factors.

Step 2: Multiply the coefficient of the first term by the coefficient of the last term. In this case, that would be

9 x 100 = 900.

Step 3: Find two numbers whose product is the same as the result from step 2, and whose sum is the coefficient of the middle term. In this case, we need to find two numbers whose product is 900 and whose sum is 30. The numbers are 20 and 45.

Step 4: Rewrite the expression as the sum of two terms, using the two numbers from step 3.

\(9u^2 + 30uv + 100v^2 = 9u^2 + 20uv + 25uv + 100v^2\)
Step 5: Factor out the greatest common factor from each pair of terms. In this case, the GCF of the first two terms is 3u, and the GCF of the last two terms is 5v. So, we can rewrite the expression as follows:

\(9u^2 + 20uv + 25uv + 100v^2 = 3u(3u + 4v) + 5v(5v + 6u)\)

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Answer:

D) -6 meters per minute

Step-by-step explanation:

\(\mathsf{rate \ of \ change =\dfrac{change \ in \ y}{change \ in \ x}}\)

\(\implies \mathsf{rate \ of \ change =\dfrac{250-280}{5-0}=-6 \ meters \ per \ minute}\)

\(↬rate \: of \: change = \frac{change \: in \: y }{change \: in \: x}\)

\(↬rate \: of \: change = \frac{250 - 280}{5-0} = -6 \: meters \: per \: minute \)

Answer :- \(\small\bold\red{-6 \: meters \: per \: minute}\)

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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The surface area of the table top that is not covered by the mirror in the form of algebraic expressions is \(5x^2 - 17x +6\,\,m^2\) .

The length of the table top = 5x - 2 m.

The width of the table not covered by mirror is x-3 m.

The surface area of the table top not covered by the mirror is

\($(5x-2)(x-3) = 5x^2 -15x -2x +6 \,\,m^2\)

\($=5x^2 -17x +6\,\, m^2\) in the form of algebraic expressions.

Surface area of cylinder of radius r and height h = \(2\pi r^2 + 2\pi rh\)

Surface area of a cuboid of side length a = \(6a^2\)

Outside area for a sphere of radius r = \(4\pi r^2\)

Surface area of a regular tetrahedron of edge length a = \(\sqrt{3}\,a^2\)

Surface area of a right angled cone of base radius r, and lateral height l = \(\pi r^2 + \pi r l\)

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Answer:

\(P(t)=M+Ce^{-kt}\)

Step-by-step explanation:

Given the differential model

\(\dfrac{dP}{dt}=k[M-P(t)]\)

We are required to solve the equation for P(t).

\(\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration\)

\(Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}\)

Answer:

The third answer is correct

Step-by-step explanation:

Answer:

The person above me is correct

Step-by-step explanation:

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Answer:

54 students in each bus

Step-by-step explanation:

224 - 8 / 4 = 54

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

A

Step-by-step explanation:

Using the Pythagorean Theorem, you can find that the length of the final leg is:

\(\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4\)

Therefore, the answer is A. Hope this helps!