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4 years ago

12

the scale on a blue print of a house is 1/4 in.=1 ft. On the blue print, the front of the house is 5 1/4 inches wide. What is th

e actual width of the house?

1 answer:

Sonja [21]4 years ago

7 0

1. Convert the fraction (Into improper fraction)
21/4

2. Divide
21/4 divided by 1/4 equals 21

The house is 21 feet wide.

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Find the sum of 46 + 42 +38... +(-446) +(-450)

schepotkina [342]

The sum of the given sequence is -24846.

<u>Step-by-step explanation:</u>

The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).

The first term of the sequence = 46
The last term of the sequence = -450
The common difference ⇒ 46 - 42 = 4

<u>To find the number of terms in the sequence :</u>

The formula used is $n = (\frac{a_{n}-a_{1}} {d})+1$

where,

n is the number of terms.
$a_{n}$ is the late term which is -450.
$a_{1}$ is the first term which is 46.
d is the common difference which is 4.

Therefore, $n =(\frac{-450-46}{4}) +1$

⇒ $n = (\frac{-496}{4}) + 1$

⇒ $n = -124 + 1$

⇒ $n = -123$

⇒ n = 123, since n cannot be negative.

∴ The number of terms, n = 123.

<u>To find the sum of the arithmetic progression :</u>

The formula used is $S = \frac{n}{2}(a_{1} + a_{n} )$

where,

S is the sum of the sequence.
$a_{1}$ is the first term which is 46.
$a_{n}$ is the late term which is -450.

Therefore, $S = \frac{123}{2}(46+ (-450))$

⇒ $S = \frac{123}{2}(-404)$

⇒ $S = 123 \times -202$

⇒ $S = -24846$

∴ The sum of the given sequence is -24846.

6 0

3 years ago

50 is what percent of 125?

Leokris [45]

It would be 40 percent. I hope this helps

3 0

3 years ago

Find tan θ for θ = 60° .

Shtirlitz [24]

Answer:

$\sqrt{3}$

Step-by-step explanation:

tanx= $\frac{sinx}{cosx}$

sin60°/cos60°= $\frac{\sqrt{3} }{2} / \frac{1}{2}$ = $\sqrt{3}$

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3 years ago

A fair coin is tossed once. if a head comes up, a fair die is tossed once. if a tail comes up, a fair die is tossed twice. the p

Paladinen [302]

Is 1 in 3 for every one there is a chance a 2 for instance in thrown. thus 1 in 3

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4 years ago

Does this graph show a function? Explain how you know.

Natasha2012 [34]

Answer: D. No; the graph fails the vertical line test.

The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.

For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.

Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.

4 0

3 years ago