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2 years ago

Help? also explain pls

Mathematics

2 answers:

NikAS [45]2 years ago

7 0

Answer:

164 ft²

Step-by-step explanation:

We can divide the figure into a rectangle and a trapezoid. Find their areas and add them up.

Area of the rectangle

= 8×16

= 128 ft²

Area of the trapezoid

= (2+8+2)×6 ÷2

= 36 ft²

Total area of the yard

= 128+36

= <u>164 ft²</u>

natulia [17]2 years ago

5 0

Answer:

158ft²

Step-by-step explanation:

Break it up!

Find the area of the three smaller shapes and add them together!

12+18+128= 158

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

Anettt [7]

Answer:

1) The size of the colony after 4 days is 6553 mosquitoes

2) After $t = 4.9\ days$

Step-by-step explanation:

To answer this question you must use the growth formula

$N = N_0e ^ {kt}$

Where

$N_0$ is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and $N_0=1000$ then N = 1600

Then we use these values to find k.

$1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47$

Now that we know k we can find the size of the colony after 4 days.

$N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes$

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

$10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days$

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3 years ago

How to create a triangle

Svetach [21]

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3 years ago

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What does the graph look like for y=-1/2 ×-2

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3 years ago

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

lubasha [3.4K]

<h2>Answer:</h2>

$\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}$

<h2>Step-by-step explanation:</h2>

The origin of the coordinate system is the center of the circle. So we have an angle that measures $5\pi/12=75^{\circ}$ . so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

$x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})$

Finally, the exact value of the position of the rider after the carousel rotates $5\pi/12$ radians is:

$\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}$

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3 years ago

Kiera used place value and the distributive property to find the product of 12 and 597. Her work is shown below. 12(597) = 12(50

olya-2409 [2.1K]

Answer:

(90)(7) ⇒ the error was multiplying 90 and 7.

Step-by-step explanation:

12(597) = 12(500 + 90 + 7)

= 12(500) + (90)(7)

= 6000 + 630

= 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

= 12(500) + 12(90) + 12(7)

= 6000 + 1080 + 84

= 7,164

8 0

2 years ago