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3 years ago

What is the distance between (-5,-5) and (-9,-2)

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\
d=\sqrt{(-5-(-9))^2+(-5-(-2))^2}\\\\
d=\sqrt{16+9}\\\\
d=\sqrt{25}\\\\
d=5$

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Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth? A fraction bar labeled 1. Und

Leto [7]

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

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2 years ago

How many birds were at Thursday

Katarina [22]

Answer:

4 birds

Step-by-step explanation:

4 * $4.5 = $18

12 * $6.5 = $78

78 + 18 = $96

3 0

3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

2 years ago

FlybynightSavings.com is offering a savings account that pays 33% compounded continuously. How much interest would a deposit of

pychu [463]

The exact calculations:
Principal, P=3000
interest rate = 33% per year
Period, t=10 years

Future value
$F=Pe^(it)$
$=3000e^(0.33*10)$
$=81337.92$

Interest
= future value - principal
= 81337.92-3000
= 78337.92 (to the nearest cent)

6 0

3 years ago

What is -9x-(2x/-3) When x equals 7

yuradex [85]

$-9x- \frac{2x}{-3}$

$-9*(7) - \frac{2*7}{-3}$

$9*7 = 63$

$\frac{2*7}{-3} = \frac{14}{-3}$

Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$

$= - \frac{14}{3}$

$-63-( -\frac{14}{3} )$

Apply rule - ( - a) = a

$-63+ \frac{14}{3}$

Convert element to fraction :

$63 = \frac{63}{1}$

$-\frac{63}{1} + \frac{14}{3}$

Find the LCD 1*3 = 3

$- \frac{63*3}{3}+ \frac{14}{3}$

$\frac{-3+63+14}{3} = \frac{-175}{3}$

<span>Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$ </span>

$= - \frac{175}{3}$

hope this helps!

4 0

2 years ago