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3 years ago

A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?

Mathematics

2 answers:

IRISSAK [1]3 years ago

6 0

A = 32.5 ft^2 (square feet)

andreev551 [17]3 years ago

4 0

Answer:A = 32.5

Step-by-step explanation:

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Which is the value of this expression when a=5 and k=-2

Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

$(\frac{3^2a^{-2}}{3a^{-1}})^k$

The value of a =5 and k = -2

Putting the values and solving

$=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}$

Option C is correct.

3 0

2 years ago

Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial

Marina CMI [18]

<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:

$h(t) = -16t^2+60t+72$

To calculate how long will it take for the rock to reach the surface of the water, we need to set $h(t)=0$ . So:

$0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95$

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0

2 years ago

Please help me !! Ignore whatever I entered !!

riadik2000 [5.3K]

Answer:

thanks thanks thanks thanks for your points

Step-by-step explanation:

6 0

2 years ago

Can you please help me this is coordinates only and thank you.

nataly862011 [7]

Answer: (2,6)

Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.

3 0

2 years ago

What expressions are equivalent to z+(z+6)

lora16 [44]

It would be the number 1 because this is using distributive property. You’re adding the z to both z and 6 separately.

It wouldn’t be number 2 because there’s only one 6. You don’t know the values of the z so you can’t put another 6. It wouldn’t be number 3 because the 30 comes out of nowhere. There’s only one known value in the equation.

3 0

3 years ago