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4 years ago

6

Jason was looking at a map with the given scale indicator (1/2 inch = 3 miles). If jason measured three and one eighths inches b

etween two towns on the map, what is the distance in miles between the two towns?

1 answer:

Alexandra [31]4 years ago

7 0

Answer: 3 5/8 miles and 9 3/8

Step-by-step explanation: trust me i know the answer

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Given that <br> y<br> = 10 cm and <br> θ<br> = 55°, work out <br> x<br> rounded to 1 DP.

ElenaW [278]

Answer:

x=8.2

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (55) =opposite/hypotenuse

sin (55) =x/10

multiply both sides by 10 to get 10 * sin (55) = x

10 * sin (55) = 8.2

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3 years ago

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago

Area of a rectangle with the width of 13yd and length of 9yd

diamong [38]

117 Yards Squared would be the area

5 0

3 years ago

Read 2 more answers

Two numbers that are the same distance from zero on a number line are called ___ numbers.

Tamiku [17]

Two numbers that are the same distance from zero on a number line are called opposite numbers.

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4 years ago

Can you please solve the following equation?

AlladinOne [14]

Answer:

x=3.903

Step-by-step explanation:

$2^{x-3}.5^{x-1}=200\\2^x.2^{-3}.5^x.5^{-1}=200\\\frac{2^x}{2^3}.\frac{5^x}{5^1}=200\\\frac{2^x.5^x}{2^3.5}=200\\\frac{(2.5)^x}{8.5}=200\\10^x=200 \times 40\\10^x=8000\\log 10^x=log8000\\x=\frac {log8000}{log10}=log8000=log 8\times log1000=log 8+log 1000=log2^3+log10^3=3log2+3log10=3log2+3 \approx0.903+3 \approx3.903$

7 0

3 years ago