An isosceles trapezoid has legs that measure 10 cm and bases of 12 cm and 2 cm. The base angles measure 60°. Find the height and the area of the trapezoid.

Jeff ate 2/5 of the entire pumpkin pie on Saturday, calculated by multiplying 1/2 by the 4/5 which was left in the refrigerator.

The question asks what fraction of the entire pumpkin pie Jeff ate on Saturday if he left 4/5 of it in the refrigerator and then ate 1/2 of what was left. To solve this, we'll calculate the fraction of the pie he consumed using multiplication.

He started with 4/5 of the pie left. Eating 1/2 of what was left means he consumed 1/2 of 4/5, which can be calculated as:

(1/2) times (4/5) = 4/10 = 2/5

Jeff ate 2/5 of the entire pumpkin pie on Saturday.

Answer: The width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

Step-by-step explanation:

Since we have given that

Length of a page = 11 inches

According to question, Flyers are folded into thirds before being stapled and mailed.

So, Width of each section is given by

[tex]\frac{11}{3}\\\\=3\frac{2}{3}\ inches[/tex]

Hence, the width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

An equivalent fraction to 14/25 is 56/100, which is found by multiplying both the numerator and the denominator of the fraction by 4. This method is useful to express the fraction with a denominator of 100, illustrating its percentage form.

A fraction equivalent to 14/25, you can multiply both the numerator (top number) and the denominator (bottom number) by the same integer. As an example, if you multiply both by 4, you get 56/100, which is equivalent to 14/25. This is because the value of the fraction does not change when you multiply or divide both the numerator and the denominator by the same non-zero number. Multiplying by 4 is a standard way of expressing a fraction where the denominator equals 100. This process is useful for understanding percentages since a denominator of 100 directly shows the percentage.

Hence, An equivalent fraction to 14/25 is 56/100.

Answer:

Change of elevation =   163.

Step-by-step explanation:

Given : 134 feet below sea level to 29 feet above sea level?

To find : What is the change in elevation.

Solution : We have given

Below sea level = 134 feet .

Above sea level = 29 feet.

Change of elevation =  Above level -  below level.

We use positive sign for above level : + 29 feet.

We use negative sign for above level : -134 feet.

Change of elevation =  29  - (-134).

Change of elevation =  29 + 134).

Change of elevation =   163.

Therefore, Change of elevation =   163.

Answer:

The car completed 20% of the trip between the cities.

Step-by-step explanation:

The distance between Oswego and Syracuse = 40 miles

The car traveled from Oswego towards Syracuse = 8 miles

We have to calculate the percentage of the trip that the car completed.

8 miles out of 40 miles = [tex]\frac{8}{40}[/tex]

To calculate we have to multiply it by 100 and put the mark of percentage.

[tex]\frac{8}{40}[/tex] × 100

= 0.2 × 100 = 20%

The car completed 20% of the trip between the cities.

Final answer:

The linear function to describe the cost of using the pencil as a function of the number of refill packs Jorge buys is C(x) = 8 + 2x, where C(x) is the total cost and x is the number of refill packs.

Explanation:

Jorge bought a mechanical pencil for $8, and each lead and eraser refill pack costs $2. To describe the cost of using the pencil as a function of the number of refill packs, we can write a linear function. The initial cost of the pencil is a fixed cost, and the cost of each refill pack is a variable cost.

Let's let x represent the number of refill packs, and C(x) represent the total cost of using the pencil. The linear function for the cost would then be:

C(x) = 8 + 2x

Here, $8 represents the fixed cost (the cost of the pencil), and $2 is the cost per refill pack, so 2x represents the variable cost (the cost of x refill packs).

Final answer:

The linear function that describes the cost of using the pencil as a function of the number of refill packs is Cost(x) = 8 + 2x.

Explanation:

To write a linear function that describes the cost of using the mechanical pencil as a function of the number of refill packs, we need to consider the initial cost of the pencil and the cost of each refill pack.

Let's assume x represents the number of refill packs.

The initial cost of the pencil is $8, which remains constant regardless of the number of refill packs.

The cost of each refill pack is $2, and it increases linearly as the number of refill packs increases.

Therefore, the linear function that describes the cost of using the pencil as a function of the number of refill packs is:

Cost(x) = 8 + 2x

Answer:

i know what question this is, thw answer is D, or |-10.6 = -10.6

With the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

So, first, add the raions and then multiply the fractions with total students as follows:

7th grade:

8th grade:

So, with the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

To learn more about ratios:

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To find the value of f(-7), substitute -7 into the function f(x) = 8x + 15. The value of f(-7) is -41.

To find the value of f(-7), we substitute -7 into the function f(x) = 8x + 15.

f(-7) = 8(-7) + 15 = -56 + 15 = -41.

Therefore, the value of f(-7) is -41.

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