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2 years ago

A roofer sketches a diagram of a house on which he is working.

Mathematics

2 answers:

docker41 [41]2 years ago

4 0

Using the SSA formula:

X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))

X = SQRT(2276 - 2080*cos(65))

X = SQRT(1396.954)

X = 37.37 = 37.4 ft.

pychu [463]2 years ago

3 0

Answer:

(B)37.4 feet

Step-by-step explanation:

From he given diagram, let width of the house be x, then using the cosine formula, we get

$x^2=(40)^2+(26)^2-2(40)(26)cos65^{\circ}$

= $1600+676-2080(0.422)$

= $2276-877.76$

= $1398.24$

Thus, $x^2=1398.24$

⇒ $x=\sqrt{1398.24}$

⇒ $x=37.4 ft$

Therefore, the width of the house is 37.4 feet.

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A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink

Marina86 [1]

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KiRa [710]

You can solve the system of equations.

Multiply the first equation by -3 and add to the second equation.

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(add)     --------------------------
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y = 14

x + y = 24
x + 14 = 24
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Answer:
There are 10 3-points questions and 14 5-point questions.

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2 years ago

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A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need

MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

= 2 x 7.5 tsp

= amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

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2 years ago

Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest ra

Nookie1986 [14]

IN finding the interest we need to use the following formula:
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P= $320
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I=PRT
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A copper smelting process is supposed to reduce the arsenic content of the copper to less than 1000 ppm. let μ denote the mean a

Hitman42 [59]

The rejection region is give by

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