For every $45 she earns Emily puts $18 into saving what percent of her pay does she put into her saving?

a) The angles outside the side PQ measure 65° and 25°

The angles outside the side QR measure 85° and 95°

The angles outside the side PR measure 55° and 35°

b) The arc PR, PQ and PR measure 120°

a)

Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.

Let side PR of triangle intersects the quadrilateral at points M and N.

So, we get a triangle DMN outside the equilateral triangle.

Here, ∠DMN = 55°, ∠D = 90°

So, ∠MND = 180 - (90 + 55)

                 = 35°

Similarly,  side PQ of triangle PQR intersects the quadrilateral at points X and Y.

So, we get a triangle AXY outside the equilateral triangle.

From triangle PXM we get the measure of angle PXM which is 65 degrees.

As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°

∠A = 90°

So, ∠AYX = 180° - (∠A + ∠AXY )

                 = 180° - (90° + 65°)

                 = 25°

Let the side QR of triangle PQR intersects the quadrilateral at points L and K.

so we get new quadrilateral LKBC

In this quadrilateral ∠B = 90°, ∠C = 90°

From triangle QYL, we get the measure of angle QLY = 95°

So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)

So, the remaining angle LKC of quadrilateral LKBC would be,

∠LKC = 360° - (∠B + ∠C + ∠KLB)

∠LKC = 360° - (90 °+ 90° + 95°)

∠LKC = 85°

b)

We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

so, the measure of arc PR = 120°

the measure of arc PQ = 120°

the measure of arc RQ = 120°

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Step-by-step explanation:

_6,_3 I hope this help it like it should (_6,2) (_1,0)

If a submarine was situated 800 feet below sea level. ​If it ascends 275 feet, its new position relative to the sea level is: -525 feet.

Given :

Initial position of the submarine = 800ft below sea level

Ascending =275ft.

Hence, the New position relative to the sea level  is calculated as:

New position relative to the sea level = (-800+ 275)

New position relative to the sea level = - 525 feet

Therefore the new position is: -525 feet.

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Therefore, the perimeter of the tablecloth is 24 feet.

A is the area, L is the length, W is the width, and * is the multiplicand. A denotes area, s denotes side length, and is the multiplication sign. Let's have a look at a few examples of how to calculate the area of rectangles. Example 1: Determine the dimensions of a square with 2-inch sides.

The area of a square is given by the formula A = s^2, where A is the area and s is the length of one of the sides of the square. In this case, we know that the area of the tablecloth is 36 square feet, so we can write:

36 = s²

Taking the square root of both sides, we get:

s = 6

So the length of one side of the square tablecloth is 6 feet. Since all four sides of a square are equal in length, the perimeter of the tablecloth is:

4s = 4(6) = 24 feet

Therefore, the perimeter of the tablecloth is 24 feet.

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Answer:

  see attached

Step-by-step explanation:

An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.

__

The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.

The attachment shows the payment calculation and the amortization schedule for the first 5 payments.

The point (11 , 37 ) does not lies in the given  function f(x) = 4x - 3. Since the values x , y does not satisfy the condition .

How to check whether the points satisfy the equation :

Given function, f(x) = 4x - 3

also given a point (11 , 37)

to check whether the given point satisfies the given function,

(x , y) = (11,37)

substitute values of x and y in the given function,

y = 4x - 3

37 = 4 x (11) - 3

37 = 44 -3

37 ≠ 41

∴ the given points (11,37 ) does not satisfy the given function

f(x) = 4x-3.

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2. The transformations are given as follows:

3. The transformations are given as follows:

For item 2, the transformations in this problem are given as follows:

For item 3, the transformations are given as follows:

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

0

Step-by-step explanation:

anything that is divided by 0 makes 0

have a good day!

Answer:

D Undefinited

Step-by-step explanation:

(-6 * 3)/0=

-18 * 0 =

-0

Answer:

86

Step-by-step explanation:

If you did 1,022 divided by 12, you would get something crazy like 85.16666666666. So round up.

Answer

The ball is in the air for about 5 seconds.

Explanation

The height of the baseball above the ground (y), as a function of the time is given as

y = -16x² + 80x

The question question then asks us to find how long the baseball was in the air.

So, basically, in mathematical terms, we need to find x, for when y > 0

y = -16x² + 80x

0 < -16x² + 80x

We can rewrite this

-16x² + 80x > 0

16x (-x + 5) > 0

Divide both sides by 16

x (-x + 5) > 0

So, we can find the solution of this inequality using the trial and error method.

x < 0 | 0 < x < 5 | x > 5

x | -ve | +ve | +ve

(-x + 5) | +ve | +ve | -ve

x(-x + 5) | -ve | +ve | -ve

So, we can see that the equation is greater than 0, that is, positive, when

0 < x < 5

So, the ball is in the air for about 5 seconds.

Hope this Helps!!!

Answer:

y represents the red paste and developer, x represents the entire dye.

Step-by-step explanation:

Since y is 30% of x, and the problem gives us information that 30% of the hair dye is red paste and developer, we can determine that y must represent the 30% of the red paste and developer from all the other things he mixes to get the hair dye.

we are allowed to change the vertical axis on a line chart.

suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.

dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.

hence, we can change the scale values on a line chart to meet the requirement of the plot.

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Answer:

1,2,73,and 136

Step-by-step explanation:

hope this helps

mark me as brainliest plz

The domain of g(x) = log (7x - 10) is all real numbers greater than 10/7.

Set-builder notation: x > 10/7. Interval notation: (10/7,∞)

Given the function in the question:

g(x) = log( 7x - 10 )

For the function g(x) = log (7x - 10), the domain consists of all the possible values of x that can be plugged into the function without resulting in an undefined expression.

Here, the logarithm (in this case, (7x - 10) must be greater than zero, since the logarithm of zero or a negative number is undefined in the real numbers.

So we set the argument of the logarithm to be greater than zero, and solve for x:

7x - 10 > 0

Solve for x

7x - 10 + 10 > 0 + 10

7x > 10

Dividing both sides by 7:

7x/7 > 10/7

x > 10/7

Therefore, the domain of g(x) = log (7x - 10) is x > 10/7

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Answer:

1) Yes, it is a right angle triangle

2)Yes, it is a right angle triangle

3) No, they are not similar.

Step-by-step explanation:

Dimension of triangle A = 48, 55 & 73

Dimension of triangle B = 36, 77 & 85

For any of the triangles to be a right angled one, then;

c = √(a² + b²)

Where a,b & c are side dimensions of a triangle.

Thus;

Triangle A: c = √(48² + 55²)

c = √5329

c = 73

This tallies with what we are given and so it is a right angled triangle.

Triangle B: c = √(36² + 77²)

c = √(7225)

c = 85

Similar to the third side dimension of 85, thus it is true.

For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.

Thus, we have;

48/36 = 1.5

55/77 = 5/7

73/85 = 73/85

Since the ratios are not similar, then we can say that the triangles are not similar.

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

4 pints

Step-by-step explanation:

16 oz in a pint

Type I error: Reject the null hypothesis H₀, when H₀ is true.

Failure to reject the null hypothesis H₀, when H₀  is untrue is a Type II mistake.

A hypothesis is a proposed explanation or prediction for a phenomenon or observed phenomenon. It is a statement that suggests an explanation for an observed fact or set of facts and provides a basis for further investigation or experimentation.

 Given Information

Determine the hypothesis:

Hₐ: p₁>p₂

Type I error: Reject the null hypothesis H₀, when H₀ is true.

Although being ineffectual, the adjustment gives the impression of being effective.

As a result, more vehicles than anticipated have brake problems, which might result in additional expenses for the company.

Failure to reject the null hypothesis H₀, when H₀  is untrue is a Type II mistake.

Interpretation: The adjustment is successful even though it appears to be ineffective.

As a consequence, fewer automobiles than anticipated have brake issues, which might result in financial savings for the corporation.

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Combine like terms to create an equivalent expression.\(\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5}\) then we formed the equation is \(= \frac{1}{8} m - \frac{3}{50}\)

When two expressions can be reduced to a single third expression or when one of the statements can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variables and both expressions yield the same result, you may also tell if expressions are equal.

The final response is 2 x - 2; alternatively, you might write 2 x - 3. The ultimate response is -2 point to the right. You could see that choice d is right in this case.

In this expression, we have two terms with the variable m: \(9/8 m\) and \(-2m\). We can combine these by subtracting \(2m\) from \(9/8 m\), which gives us \(1/8 m\).

We also have two constant terms: \(9/10\) and \(-3/5\). We can combine these by adding them, which gives us \(-3/50\).

Putting it all together, we get:

\(\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5} = \frac{1}{8} m - \frac{3}{50}\)

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Answer:-7/8m+3/10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

That is an indeterminant question, as we do not know the amount of fax time used of each machine and it certainly won't be equal. However, based on whats given you could say

Step-by-step explanation:

5 hrs. use / 0.25 service time = 20 / 3 machines = 6.67. Probability of needing to service 2 machines simultaneously is: 1/6.67 = 15%.

The Probability of needing to service 2 machines simultaneously is 15%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The school of business has 3 fax machines.

and, It takes him 15 minutes to replace the toner cartridge.

So, 5 hours / 0.25 service time

= 20 / 3 machines

= 6.67.

Then, the Probability of needing to service 2 machines simultaneously

= 1/6.67

= 15%.

Hence, the probability is 15%.

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Answer:

20km

Step-by-step explanation:

Given that it takes a farmer 1 day to put up ⅓km fence, the length of fence he would put up in 6⅔ days would be calculated as follows:

Let x be length of the fence we are looking for. Thus,

⅓ km = 1 day

6⅔ = x

Cross multiply

⅓*x = 1*6⅔

⅓*x = 1*20/3

x/3 = 20/3

Multiply both sides by 3 to make x the subject of formula

x = (20*3)/3

x = 20

Length of fence he would put up in 6⅔ days = 20km