If Triangle ABC is rotated 90 degrees clockwise about the origin, what will be the new coordinates of vertex B?

Tom decides to paint one wall in his room green. Use the dimensions below to calculate the area of the this wall.

Anton [14]

Option C:

Area of the wall $=94\frac{15}{16}$ square feet

Solution:

Length of the wall = $12 \frac{1}{4}$ feet

Width of the wall = $7 \frac{3}{4}$ feet

Area of the wall = length × width

$$=12 \frac{1}{4}\times 7 \frac{3}{4}$

Convert mixed fraction into improper fraction.

$$=\frac{12 \times 4+1}{4}\times \frac{7\times 4+3}{4}$

$$=\frac{49}{4}\times \frac{31}{4}$

$$=\frac{1519}{16}$

Convert improper fraction into mixed fraction.

$$=94\frac{15}{16}$

Area of the wall $=94\frac{15}{16}$ square feet

Option C is the correct answer.

7 0

3 years ago

Please help me solve this!!!!!!

BabaBlast [244]

Answer:

C. 9

Step-by-step explanation:

y = -4x^2 + 2kx

subtitute 3:

y = -4(9)^2 + 2k(9)

y = -4(81) + 18k

let y = 0

=> 0 = -324 + 18k

=> k = 324/18 = 9

this is my calculations hope it helps

4 0

2 years ago

Read 2 more answers

For geometry:(<br><br> will give brainist to the correct answer!!!

Over [174]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

7 0

3 years ago

Can you pls help me<br> In the diagram,RS and PT are altitudes and m∠Q=68. Find m∠POR

KonstantinChe [14]

Answer:

I believe it is 180

Step-by-step explanation:

All triangles add up to 180

4 0

3 years ago

On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago