From a window 20 feet above the ground, the angle of elevation to the top of a building across

3y-2x=-9 put equation of line in slope intercept form

Allushta [10]

Answer:

Step-by-step explanation:

y=2/3x-3

4 0

1 year ago

A straight slide in a playground design makes an isosceles triangle with the

julia-pushkina [17]

Answer:

Option D.

Step-by-step explanation:

First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
Next, we know that the formula for calculating the area of a right angled triangle is given by:

A = 1/2 (base × perpendicular height)

The perpendicular height is equal to the base. Let's say the base is x. It means that the height is also x, since height = base.
Therefore, the formula will be:

A = 1/2 (x.x)

=1/2 (x²)

32 = 1/2 (x²)

Multiplying both sides by 2 gives:

32×2 = x²

64 = x²

8 = x

To find the third side, we use the Pythagoras theorem:

C² = A² + B²

= 8² + 8²

= 128

C = √128

= 8√2

However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

= √256

This corresponds to option D.

3 0

3 years ago

A car is 200 km from its destination after an hour and 80 km from its destination after 3 hour

Pani-rosa [81]

200 - 80 is equal to 120. So the car traveled 120 km in 3 hours. It travels at an average of 120/3 = 40 km/hr, and will reach its destination in 2 hours.

4 0

3 years ago

Which ordered pairs is a solution to −5x + 3y > 12?

In-s [12.5K]

Answer :-

Given inequality ,

-5x +3y > 12
3y > 5x + 12
y > 5/3x + 12/3
y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4
y > 5 +4
9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4
y > -8.3 + 4
5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4
-6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4
-5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4
8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4
0 > -6 ( possible )

7 0

3 years ago

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Mrs. Martinez has a bowl of candy that she passes out to trick-or-treaters. A group of 5 children dressed in costumes comes to h

Kisachek [45]

Answer:

Step-by-step explanation:

5x3=15

7 0

2 years ago

Read 2 more answers