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2 years ago

Solid: What is the surface area of the pyramid? 7

Mathematics

2 answers:

telo118 [61]2 years ago

8 0

Answer:

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Step-by-step explanation:

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baherus [9]2 years ago

5 0

Answer:

i am so sorry if its wrong

Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.

A = 4×(1/2)×b×h

A = 2×(8 cm)×(6.9 cm)

A = 110.4 cm²Step-by-step explanation:

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

2 years ago

Blake has a graden in his back yard. He picked 55 tomatoes from 5 plants. what is the ratio of tomato plants tomatoes picked?

oksian1 [2.3K]

Answer:

Step-by-step explanation:

he picked 11 tomatoes per plant, 55 ÷ 5 = 11 so all answers that dont include an 11 are incorrect, A and C are wrong

because the tomato plants are listed before the tomatoes picked in the ratio that means that the number of plants has to be first, and the number of tomatoes has to be second. that means the answer is D, 1 plant: 11 tomatoes

6 0

2 years ago

Can someone help me please

Anarel [89]

Answer:

Step-by-step explanation:

Area of two circles = 2*πr² = 2*3.14 * 6 * 6 = 226.08 square units

Area of rectangle = length * width = 24 * 12 = 288 square units

Area of shaded region = Area of rectangle - area of two circles

= 288 - 226.08

= 61.92

= 62 square units

5 0

2 years ago

Function g can be thought of as translated (shifted) version of f(x) = x^2

Nataly_w [17]

Hi how are you doing today Jasmine

6 0

2 years ago

Let f(x) = e^6x and g(x) = 8ln(x). Find and simplify g(f(−2)).

jonny [76]

Answer: -96

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

f(x) = e⁶ˣ g(x) = 8 ln(x)

f(-2) = e⁶⁽⁻²⁾

= e⁻¹²

g(e⁻¹²) = 8 ln(e⁻¹²)

= 8(-12) <em>ln and e cancel </em>

= -96

4 0

2 years ago