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3 years ago

14

A 22-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 17 feet

from the base of the building how high up the wall does the ladder reach

1 answer:

Elan Coil [88]3 years ago

4 0

The ladder reaches 16.52 feet high.
Hope this helped!

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The snowiest city receive an average of 113.9 more inches of snow than the second snowiest city. The second snowiest city reciev

steposvetlana [31]

Answer:

The snowiest city receive 347.7 inches on average each year.

Step-by-step explanation:

We want to find the amount of snow the snowiest city receives on average every year, "x". It is known that this city receives 113.9 more inches than the second snowiest, which receives 223.8 inches on average every year. Therefore, the expression for "x" is:

$x = 233.8 + 113.9\\x = 347.7 \text{ inches}$

The snowiest city receive 347.7 inches on average each year.

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2 years ago

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Margaret [11]

Answer:

$(f+g)(x) = x^2 + 4x - 4$

Step-by-step explanation:

We are given these following functions:

$f(x) = 4x + 2$

$g(x) = x^2 - 6$

(f+g)(x)

We add the common terms. Thus:

$(f+g)(x) = f(x) + g(x) = 4x + 2 + x^2 - 6 = x^2 + 4x + 2 - 6 = x^2 + 4x - 4$

Thus:

$(f+g)(x) = x^2 + 4x - 4$

3 0

2 years ago

which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

6 0

1 year ago

Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1

notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = $\frac{1}{2} \cdot 36 = 18$ baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = $\frac{1}{4} \cdot 36 = 9$ baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = $\frac{1}{12} \cdot 36 = 3$ baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

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3 years ago

Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.

tatuchka [14]

Answer:

3(6+x)

Step-by-step explanation:

PLESAE GIVE BRAINLIEST

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2 years ago