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3 years ago

12

Mr. Hardy built a fenced-in area for his children in the shape of a square with each side 75 feet in length. Find the distance o

f the diagonal path from one corner to the opposite corner.

1 answer:

8090 [49]3 years ago

3 0

Answer:

75 square root of 2

Step-by-step explanation:

if its a square using 45 45 90 triangle formula it'll be 75 to the the square root of 2

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How do I solve this?

iren2701 [21]

First you collect the like term then variable one side coefficient one side and constant

8 0

3 years ago

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Solve the equation: 5/6 = 1/3 + D

Sauron [17]

Answer: $\frac{1}{2}$

Explanation:
$\frac{5}{6} = \frac{1}{3} + D$
$\frac{5}{6} - \frac{1}{3} = \frac{1}{3} - \frac{1}{3} + D$
$\frac{5}{6} - \frac{1}{3} = D$
$\frac{5}{6} - 2(\frac{1}{3}) = D$
$\frac{5}{6} - \frac{2}{6} = D$
$\frac{3}{6} = D$ = $\frac{1}{2}$

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3 years ago

A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which th

Goryan [66]

Answer:

57.3°

Step-by-step explanation:

A 25 feet ladder leans against a building.

The ladder's base is 13.5 feet from the building.

The ladder, the wall of the building and the ground form a right-angled triangle of:

Hypotenuse = 25 feet

Base = 13.5 feet

We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)

Let's say the angle = X°

According to a trigonometric equation;

cos X° = adjacent side ÷ hypotenuse = $\frac{13.5}{25}$ = 0.54

$cos ^{-1} X$ = 57.5=3° (Answer rounded up to nearest one decimal place).

∴ The angle of elevation = 57.3°

4 0

3 years ago

Help pleaseeeeee anybody ??????

GuDViN [60]

Answer:

24

Step-by-step explanation:

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2 years ago

Which of the following recursive formulas represent the same arithmetic sequence as the explicit formula an=5+(n-1)2

sergey [27]

Answer:

Choice A:

$a_1=5$

$a_{n}=a_{n-1}+2$

Step-by-step explanation:

$a_n=5+(n-1)2$

means we looking for first term 5 and the sequence is going up by 2.

In general,

$a_n=a_1+(n-1)d$

means you have first term $a_1$ and the sequence has a common difference of d.

So it is between the first two choices.

The explicit form of an arithmetic sequence is: $a_n=a_1+(n-1)d$

An equivalent recursive form is $a_n=a_{n-1}+d \text{ where } a_1 \text{ is the first term}$

So d again here is 2.

So choice a is correct.

$a_1=5$

$a_{n}=a_{n-1}+2$

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2 years ago

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