I need help with part b

A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the

AnnyKZ [126]

Answer:

170 ft²

Step-by-step explanation:

Given:

Patio drawing of 4.25 in by 2.5 in

Scale of Patio to its drawing = 4ft to 1 in

Requires:

Area of actual Patio

SOLUTION:

Area of actual Patio = area of a rectangle = length × width

Given a scale drawing of 4ft to 1 in, therefore:

Length of actual Patio = 4.25 × 4 = 17 ft

Width of actual Patio = 2.5 × 4 = 10 ft

Therefore:

Area of actual Patio = 17 ft × 10 ft = 170 ft²

5 0

2 years ago

Raoul estimated the difference of 97.23 and 8.3 by rounding each number to the nearest whole. What was Raoul's estimate, and wha

skelet666 [1.2K]

Answer:

Raoul estimated the difference to be: 89

97.23 --> 97

8.3 --> 8

97-8= 89

The actual difference is: 88.93

97.23-8.3 = 88.93

6 0

3 years ago

What is the experimental probability of the spinner landing on red?

dsp73

<span>There’s a spinner with 8 sections in total with different colors. 2 red, 2 green, 2 yellow, and 2 blue.

To find the probability of the spinner landing on any color, simply take
(number of color)/(total)

To find the probability of landing on red, there are 2 reds, and 8 total. So,
2/8 = 1/4

To find the probability of landing on blue, there are 2 blues, and 8 total. So, 2/8 = 1/4. The same as before.

Flipping a coin gives a 50/50 or equal chance between two events. We should pick the answer that has only two events. That would be a true/false test since there are only two choices in this situation.</span>

4 0

3 years ago

The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.

I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since $y =hx -2$ is an equation for a line which intersects with the curve $3y^2 = 9x^2 - 6x +1$ . The point of intersection, let's say $(x_1,y_1)$ , should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

$3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1$

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

$(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11$ = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

$b^2 -4ac =0$