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2 years ago

12

A scale mode of a building is 8 in. by 12 in. The scale is 1 in:15 ft. What are the dimensions of the actual building? (*you nee

d to find two measurements")

1 answer:

VikaD [51]2 years ago

6 0

Answer:

120 ft by 180 ft

Step-by-step explanation:

If every inch is 15 feet multiply 8 inches by 15 and then 12 by 15 to get your dimensions

15 * 8 = 120

15 * 12 = 180

120 x 180 feet

Convert to inches if needed.

1440 inches by 2160 inches

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For the new quarter: 3 quizzes
all past quarters and current quarter in total: 26 quizzes

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3 years ago

At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

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2 years ago

Math Solve the equation:-

Katena32 [7]

Answer:

y = -27

Step-by-step explanation:

Multiply the entire equation by 6

$\sf 6*\dfrac{y+1}{3}-6*\dfrac{3y-1}{6}=6*5\\\\\\$

2*(y + 1) - (3y - 1 ) = 30

Multiply (y +1) by 2 and (3y - 1) by (-1)

2y + 2 - 3y + 1 = 30

Isolate y term by taking the constant term to RHS

2y - 3y = 30 - 2 - 1

Combine like terms

-y = 27

y = -27

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1 year ago

Fill in the missing numbers : )

Anon25 [30]

<h2><u> </u><u>Answer</u> :</h2>

The Missing numbers are :

$\boxed{1.9}$

$\boxed{3.4}$

<h2><u>Solution</u> :</h2>

Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.

therefore, the sequence will be like :

$\hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4$

And, missing terms are :

1.9 and 3.4 respectively

$\mathfrak{hope \: it \: helps \: you.....}$

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2 years ago

What does 5^3 mean or symbolize?

IrinaK [193]

5^3 is 5 to the power of 3 that is equal to 5x5x5=125

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3 years ago

Read 2 more answers