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2 years ago

a square has 9 inch sides. every side of a pentagon is also 9 inches long. are their perimeters the same? explain

2 answers:

Klio2033 [76]2 years ago

8 0

No. A square is four sides, and a pentagon is five sides. The pentagon's perimeter would be greater than the square's because it has more sides.

ivolga24 [154]2 years ago

6 0

No. A square has 4 sides whereas a pentagon has 5 sides. So the pentagon would have more.

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Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w

OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call $t_1$ while it takes Jenna to clean the gutters

Let's call $t_2$ while it takes John to clean the gutters

$t_1 = 4$ h

$t_2 = 3$ h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

$V_1 = \frac{1}{4}$ g/ h

$V_2 = \frac{1}{3}$ g/h

$V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}$

So:

$V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}$

$\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h$

$t = \frac{12}{7}$ h

Then, both together paint $\frac{7}{12}$ of gutters for each hour.

This means that it takes $\frac{12}{7}$ hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

7 0

2 years ago

Hector's family traveled 7 10 of the distance to his grandmother's house on Saturday. They traveled 2 3 of the remaining distanc

kirill115 [55]

Answer: 1 / 5 of the total distance.

Step-by-step explanation:

They traveled 7/10 of the distance on Saturday. This means that on Saturday, the fraction left was:

= 1 - 7/10

= 3/10 of the distance

On Sunday, they traveled 2/3 of this remaining distance. The fraction of the distance traveled is therefore:

= 2/3 * 3/10

= 6 / 30

= 1 / 5 of the total distance.

4 0

2 years ago

Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .

Rom4ik [11]

Answer:

y= -2/3x-1

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

You want too earn $100 to $120 per week . What are the possible numbers of hours that you can work at the sandwich shop so that

MAXImum [283]

Depends how much your job pays you

5 0

2 years ago

Need to get the values of each trig function using half angle formulas within the constraint

Marizza181 [45]

$\bf cot(u)=4\qquad \pi \ \textless \ u\ \textless \ \frac{3\pi }{2}\implies cot=\cfrac{-4}{-1}\cfrac{\leftarrow adjacent}{\leftarrow opposite}
\\\\\\
hypotenuse\implies \sqrt{(-4)^2+(-1)^2}\implies \sqrt{17}
\\\\\\
cos(\theta )=\cfrac{-4}{\sqrt{17}}\implies \cfrac{-4\sqrt{17}}{17}\\\\
-------------------------------\\\\
$

$\bf sin\left( \frac{u}{2} \right)=\pm\sqrt{\cfrac{1+\frac{4\sqrt{17}}{17}}{2}}\implies \pm\sqrt{\cfrac{\frac{17+4\sqrt{17}}{17}}{2}}\implies \boxed{\pm\sqrt{\cfrac{17+4\sqrt{17}}{34}}}
\\\\\\
cos\left( \frac{u}{2} \right)=\pm\sqrt{\cfrac{1-\frac{4\sqrt{17}}{17}}{2}}\implies \pm\sqrt{\cfrac{\frac{17-4\sqrt{17}}{17}}{2}}\implies \boxed{\pm\sqrt{\cfrac{17-4\sqrt{17}}{34}}}$

$\bf tan\left( \frac{u}{2} \right)=\pm\sqrt{\cfrac{\frac{17+4\sqrt{17}}{34}}{\frac{17-4\sqrt{17}}{34}}}\implies \boxed{\pm\sqrt{\cfrac{17+4\sqrt{17}}{17-4\sqrt{17}}}}$

8 0

3 years ago