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3 years ago

Please help me! Finding the area of the trapezoid

Mathematics

2 answers:

True [87]3 years ago

5 0

377 here is how i got the answer
https://www.google.com/search?gs_ivs=1&q=area+of+a+trapezoid#tts=0

Reika [66]3 years ago

3 0

377......................

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A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same

Travka [436]

Answer:

Well to this you would have to simplify the ratio first

75:35:45

That can be

15:7:9

So that means thayt each troop would get 15 enegery bars, 7 drinks and 9 bottles of water

Well if you were to keep repeating that process or just do a proportion you would get 5 total troops.

15:7:9

75:35:45

15*5 is 75

7*5 is 35

9*5=45

So 5 troops

7 0

3 years ago

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

What is one-half of the product of the following?

agasfer [191]

Answer:

-2/3 is the right answer

5 0

2 years ago

Read 2 more answers

PLEASE HELP Complete the table below to find solutions to the linear equation y=5x+35.

Eddi Din [679]