All categories

2 years ago

Kate has enough fabric to cover 120in². Can she completely cover the shape shown by the net?

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

Answer: No, Kate can't completely cover the shape.

Step-by-step explanation:

S=Area of Square. T=Area of each Triangle. A=Total Area

S=6*6

S=36 in^2

T=1/2 * 6 * 7.5

T=3*7.5

T=22.5 in^2

4T=4*22.5

4T=90 in^2

A=4T+S

A=90+36

A=126 in^2

120<126 ==> No, Kate can't completely cover the shape.

You might be interested in

50 POINTS FOR CORRECT AWNSER!

Grace [21]

Answer:

$\mathsf{y < \dfrac47x-4}$

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation: $\mathsf{y=mx+b}$

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

where:

$\mathsf{(x_1,y_1)=(0,-4)}$
$\mathsf{(x_2,y_2)=(7,0)}$

$\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}$

Therefore, the equation of the line is:

$\mathsf{y=\dfrac47x-4}$

For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

$\mathsf{y < \dfrac47x-4}$

8 0

2 years ago

I neeeeeeeeeeed help

Musya8 [376]

He gave away 14 bouncy balls

3 0

3 years ago

Please help me with my question!!!

jeka57 [31]

Answer:

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

I have an 88 in my math class, according to my teacher if I get a 75% on my final exam my grade will be 86. my final exam is wha

shusha [124]

Answer:

I think the answer is 30%

8 0

3 years ago

Read 2 more answers

What is the solution of the equation? 6/7 x - 8 = 7

schepotkina [342]

$\frac{6}{7} x - 8 - 7 \\ \frac{6}{7} x - 15 = 0$

4 0

4 years ago

Read 2 more answers