Answer:
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Step-by-step explanation:
Answer:232 inch^2
Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.
First we need to convert the mixed umber to an improper fraction...
3 2/9
Multiply the denominator by the whole number the. add the numerator the. put that over the original denominator.
9×3 = 27 + 2 = 29/9
now we can multiply the two fractions... numerator × numerator and denominator × denominator.
29/9 × 7/3 = 203/27
reduce the fraction to 7 14/27
Answer:
B) 7 cans
Step-by-step explanation:
First task is to determine how many square units we have.
With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.
The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.
So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.
Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).
Angle L: 70°
The trigonometric ratio used to solve for NM is the tangent ratio.
NM = 57.7 [nearest tenth]
<h3>How to Apply the Trigonometric Ratios?</h3>
Using the triangle sum theorem, find angle L.
Angle L = 180 - 90 - 20 = 70°
Using the tangent ratio, we can use ∠M and LN to solve for NM
Tan 20 = 21/NM [tan ∅ = opposite/adjacent]
NM = 21/tan 20
NM = 57.7 [nearest tenth]
Learn more about the trigonometric ratio on:
brainly.com/question/10417664
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