Which costs more per gallon? 5 gallons for $12.50 or 11 gallons for $26.40

Please answer ASAP PLEEEEEASE

Answer:

[tex]\frac{2x}{3y^5}[/tex]

Step-by-step explanation:

See photo for steps.

Answer

do u have a demonstration

picture

Step-by-step explanation:

Answer:

1. Angle C is 57.2

2. Which angle corresponds to angle C? The answer is angle S

3. The angles are similar

Step-by-step explanation:

Edge.

Hence angle Cis 57degrees

What is angle sum property of triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

How to solve?

In ΔEDC=∠E+∠D+∠C=180degree

=35.5+87.3+∠E=180

∠E=180-87.3-35.5=57

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 -79,000  +  45,34444444444=5.65

Answer:

490 minutes

Step-by-step explanation:

There are 7 days in a week, and he practices 35 minutes every day

We can multiply 7 and 35 to find how long he practices for in 1 week

7*35=245

He practices for 245 minutes in 1 week.

To find 2 weeks, multiply his time for 1 week by 2

245*2=490

So, he practices for 490 minutes in 2 weeks

Answer:

490

Step-by-step explanation:

Answer:

[tex] \huge \theta =7°[/tex]

Step-by-step explanation:

[tex]tan( \theta + 16 \degree) = \frac{1}{tan( \theta + 60 \degree) } \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta - 60\degree \\ \theta +\theta = 30 \degree - 16\degree \\2 \theta = 14 \degree \\ \theta = \frac{14 \degree}{2} \\ \huge \red{ \boxed{\theta =7 \degree}}[/tex]

Final answer:

To solve the given trigonometric equation, convert tan(θ + 60°) to cot(θ + 60°) and then to cos(θ + 60°)/sin(θ + 60°). Next, cross-multiply and simplify using trigonometric identities to find θ. The correct θ value satisfying the equation is 32°.

Explanation:

To solve the equation tan(θ+16°) = 1/tan(θ+60°) using trigonometric identities, we first convert the right side of the equation using the identity that tan(α) = 1/cot(α).

This gives us tan(θ+16°) = cot(θ+60°). Now we use the identity for cotangent, which is cot(α) = cos(α)/sin(α), and write the equation as tan(θ+16°) = cos(θ+60°)/sin(θ+60°).

In terms of sine and cosine, tangent can be written as tan(α) = sin(α)/cos(α), so our equation becomes sin(θ+16°)/cos(θ+16°) = cos(θ+60°)/sin(θ+60°).

Next, cross-multiply to get sin(θ+16°) × sin(θ+60°) = cos(θ+16°) × cos(θ+60°). Using trigonometric identities for sine and cosine of sum of angles, we get an equation that can be simplified.

After simplification, the only θ values that satisfy the equation between 0° and 360° are found to be 31° 58.6' and 78° 31.5'. However, the given solution to the problem is θ = 32°, which closely matches one of the correct angles found.

Answer:

  D. (-10, -3), (-3, -10)

Step-by-step explanation:

For a question like this, it is easiest to check the offered answers in the given equations.

The first equation requires the sum of the x- and y-values to be -13. Adding two numbers is pretty easy, so you can rapidly determine that choice D is the only reasonable choice.

_____

Comment on the process

Answering multiple-choice questions is as much about test-taking skill as it is about math skill. First, you eliminate choices that don't answer the question.

Then you see if there is a way to identify the "correct" answer from the remaining "reasonable" answers. Often, that requires you only solve part of the problem, or you check for consistency between parts of the answer. (Here, if (a, b) is an answer, then (b, a) will be the other answer. Again, only choice D has that characteristic.)

You can see if the answer choices satisfy the details of the problem requirements.

Finally, as a last resort, you actually work the problem to determine your own answer to the question. (Here, you can substitute for y: x^2 +(-13-x)^2 = 109, then solve the quadratic, 2x^2 +26x +60 = 0 to find x=-3 or -10.) When you're done with this, you also need to check your answer against the above criteria.

Answer:255 ft of fabric

Step-by-step explanation:

Just trust me

-hope this helped!

Final answer:

To calculate the quotient of 8.832 x 10^6 and 9.6 x 10^2 in scientific notation, divide the coefficients and subtract the exponents to get 0.92 x 10^4.

Explanation:

The student is asking to divide two numbers expressed in scientific notation and then to express the quotient in scientific notation.

To find the quotient of 8.832 x 10⁶ and 9.6 x 10², we divide the coefficients (8.832/9.6) and subtract the exponents (6-2).

First, divide the coefficients: 8.832/9.6 = 0.92.

Next, subtract the exponents: 6 - 2 = 4.

Now combine the result in scientific notation: 0.92 x 10⁴.

We can leave the result as 0.92 x 10⁴ because in scientific notation, it's acceptable for the coefficient to be less than 1 as long as it's at least 0.1.

So, the quotient expressed in proper scientific notation is 0.92 x 10⁴.

The quotient of [tex]\( 8.832 \times 10^6 \)[/tex] and [tex]\( 9.6 \times 10^2 \)[/tex] expressed in scientific notation is [tex]\( 9.2 \times 10^3 \).[/tex]

To find the quotient of two numbers in scientific notation, divide the coefficients and subtract the exponents. Here's the step-by-step process:

1. Divide the coefficients (the numbers without the exponents):

[tex]\[ \frac{8.832}{9.6} = 0.92 \][/tex]

2. Subtract the exponents (the powers of 10):

[tex]\[ 10^6 \div 10^2 = 10^{6-2} = 10^4 \][/tex]

3. Combine the result of the division of the coefficients with the result of the subtraction of the exponents:

[tex]\[ 0.92 \times 10^4 \][/tex]

4. To express the result in proper scientific notation, the coefficient must be greater than or equal to 1 and less than 10.

Therefore, we need to adjust the coefficient and the exponent accordingly.

Since 0.92 is less than 1, we multiply the coefficient by 10 and decrease the exponent by 1:

[tex]\[ 9.2 \times 10^{4-1} = 9.2 \times 10^3 \][/tex]

So, The quotient of [tex]\( 8.832 \times 10^6 \)[/tex] and [tex]\( 9.6 \times 10^2 \)[/tex] expressed in scientific notation is [tex]\( 9.2 \times 10^3 \).[/tex]

Answer:

15 x 3^2

Step-by-step explanation:

The area of a square or rectangle is equal to the length x width.

If you want to scale the figure you multiply 3 to both the width and the length.

Because you are multiply 3 twice, you are essentially doing 3x3 = 9 or 3^2

15 ^ 3^2 is the answers.

You can also check on a calculator and it will also come as true

The expression finds the area of the actual garden is 15 ^ 3^2.

We have given that,

The area of the scale model of a garden is 15 square feet.

The scale model is enlarged by a scale factor of 3 to create the actual garden.

We have to determine which expression finds the area of the actual garden.

15 x 3^2

The area of a square or rectangle is equal to the length x width.

If you want to scale the figure you multiply 3 by both the width and the length.

Because you are multiplying 3 twice,

3x3 = 9 or 3^2

The expression finds the area of the actual garden is 15 ^ 3^2.

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