Based on the given problem above, here is the solution.
Given: Iris's charge: 470
1 1/5 times her fee: additional hourly rate
? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
To get the total fee of her hourly rate, we add 67.143 and 564, so Iris's hourly rate then is 631.143 or 631.14.
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.
Answer:
3,147.44828
Step-by-step explanation:
The greatest angle in the given triangle is 104 degrees.
<h3>
What is a triangle?</h3>
- The polygon with 3 sides, three vertices, and three angles is known as a triangle.
- A triangle's overall number of degrees is always 180 degrees.
Given:
- Let, the second angle has a measurement of x degrees.
- The first angle's measurement is 24 degrees greater than the second angle's measurement.
- As a result, the first angle is (24+x) degrees.
- The third angle is four times as large as the second.
- As a result, the third angle has a measure of 4x.
So,
- (24 + x) + x + 4x = 180
- 6x = 124 - 48
- 6x = 156
- x = 156/6
- x = 26
As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
Therefore, the greatest angle in the given triangle is 104 degrees.
Know more about triangles here:
brainly.com/question/17335144
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The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
<h3>How to find the area of the shaded region?</h3>
The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
learn more on area here: brainly.com/question/21208569
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