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Inga [223]
2 years ago
5

A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe

et, and each of the nonparallel sides is 5 feet long. Determine the length of a diagonal brace to the nearest whole number.
Mathematics
1 answer:
jonny [76]2 years ago
3 0
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
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Answer:

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Step-by-step explanation:

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2 years ago
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Zanzabum

Answer:

interpretation of p-value

With the information from the exercise we can deduce that the number of adults in North America who are going to reduce the costs of medical care, considering this as a national priority, are within a probability of 0.045, however the real data tells us that 0.68 of adults are in favor of this reduction

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2 years ago
Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each porti
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Answer:

I think its choice C

Step-by-step explanation:

Because it makes more sense to me

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Choice C makes the most sense to get that answer

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3 0
2 years ago
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mojhsa [17]

Answer:

T= 8p+1

Step-by-step explanation:

Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.

To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

Solution :

Let total number of tomatoe plants be T

Since we are given that Lauryn grew tomato plants = p

We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.

⇒ 3p-5

We are also given that  Kent grew 6 more than 4 times the number Lauryn grew.

⇒ 4p+6

So, total number of tomato plants :

⇒ T= p+3p-5+4p+6

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Hence  a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is T= 8p+1

8 0
2 years ago
Which statement is true? The equation –3|2x + 1.2| = –1 has no solution. The equation 3.5|6x – 2| = 3.5 has one solution. The eq
77julia77 [94]

The <em>correct answer</em> is:

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Explanation:

When solving an absolute value equation, the first thing we cancel is any number outside of the absolute value bars. Once we do this, if we have an absolute value equal to a negative number, there is no solution.

In the last equation, once we cancel the -0.3 (by dividing), we will have |3+8x|=-3. Absolute value is distance, and distance cannot be zero, so this has no solution.

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