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e-lub [12.9K]
4 years ago
5

Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe

and tent, how far would they then haveto walk? Round to the nearest mile. (PLEASE SHOW WORK!!)

Mathematics
1 answer:
anygoal [31]4 years ago
6 0

Answer:

6 miles

Step-by-step explanation:

The formula to find the hypotenuse of a right triangle is as follows,

\sqrt{a^{2} } +b^{2}

The line is supposed to be longer on the rooting but it won't go any longer so we just have to make do.

Anyways, a is 1 side length and b is the other. Doesn't matter which one you make b or a.

Now you just plug in and solve

\sqrt{9} +25 (that's after you square it)

add them

\sqrt{34}

simplify

5.83095189485

you can just stop at the hundredths place

5.83

You can estimate that it's about 6

and 6 is your answer

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Plz solve this if u know plz​
salantis [7]
<h3>Solution:</h3>

{64}^{ -  \frac{1}{3} } ( {64}^{ \frac{1}{3} }  -  {64}^{ \frac{2}{3} } ) \\  {64}^{ \frac{1}{3} -  \frac{1}{3}  }  -  {64}^{ \frac{2}{3}  -  \frac{1}{3} }  \\  {64}^{0}  -  {64}^{ \frac{1}{3} }  \\ 1 -  \sqrt[3]{64}  \\ 1 - 4 \\  - 3

<h3>Answer:</h3>

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5 0
3 years ago
Read 2 more answers
Find the 2nd term in the expansion of (a + b)^7 in simplest form
klasskru [66]

Answer:

7a^6b

Step-by-step explanation:

Using the pascal triangle to do this binomial expansion, we find out that the coefficient is 7. The a variables start at the power to which you are expanding and reduce by 1 for every consecutive term. The b variables start at the power of 0 and increase by 1 for every consecutive term. Using this information, we find out that the second term in the binomial expansion (a+b)^7 is 7a^6b

Note that the power of b in the second term is b^1 which is the same as b

5 0
3 years ago
The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv
deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by x_{1} and and mixer by x_{2}.

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm=  $7

Each mixer produced nets the firm=  $6

Using this all data linear system of equation will be:

x_{1} + 2x_{2} =24  ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\

profit function:

z= 7x_{1} +6x_{2} --- (3)

from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\

Coordinate points obtained from (1) are (0,12) and (24,0)

from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z =  87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0
4 years ago
Can someone help me in this plssss I really need it
kompoz [17]

Answer:

\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}

Step-by-step explanation:

Your expression is

\sqrt [3] {-54x^{5}y^{6}}

Here's how I would simplify it.

\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}

\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}

\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}

6 0
4 years ago
The temperature changed from -7 degrees f at 6:00 am to 7 degrees f at noon write an expression. How much did the temperature in
nasty-shy [4]

Expression is 7 + |-7|

= 7 + 7

= 14 degrees increase

4 0
3 years ago
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