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Natasha_Volkova [10]
2 years ago
8

The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of

the triangle. You decide to put new stain on the wood. One edge of the deck measures 15 feet and the other edge of the deck measures 20 feet. Answer the follow- ing questions: 1. What is the area of the deck? 2. Each gallon of stain covers a maximum of 350 square feet. How many do you need? 3. If each gallon costs $36.98, what will the project cost you?​
Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

<h3>How to find the area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: brainly.com/question/23945265

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Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

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\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

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3 years ago
Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?
Maksim231197 [3]

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7   ⇒   (x + 7)/5 = cos(t)

y = 5 sin(t) + 9   ⇒   (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.

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Step-by-step explanation:

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Answer:

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