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Andreas93 [3]
3 years ago
14

Jimmy ran 3 miles west from home and then turned north and jogged 4 miles.In a straight line,how far is jimmy from home?

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:  5 miles

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

Jogging West and then North forms a 90° triangle where 3 miles West and 4 miles North are the legs.  Use the Pythagorean Theorem to find the hypotenuse.

a²  + b²  = c²

(3)² + (4)² = c²

9   +  16  = c²

     25     = c²

    √25   = √c²

        5     = c

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BigorU [14]

Answer:

x = 0, π/3, π, 5π/3

Step-by-step explanation:

sec(x)sin(x) - 2sin(x) = 0

factor out sin(x)

sin(x)[sec(x) - 2] = 0

then solve by splitting into two parts:

sin(x) = 0 and sec(x) - 2 = 0

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3 0
3 years ago
What is the value of x.
notsponge [240]

Answer:

x = 0

Step-by-step explanation:

2x + 161 = x + 46 + 115

Subtract x

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8 0
3 years ago
1/4(X-10)=2X+1 <br><br> what is X?
In-s [12.5K]

Answer: x=-2

Step-by-step explanation:

\frac{1}{4}(x-10)=2x+1

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\frac{1}{4}x-\frac{1}{4}(10)=2x+1

\frac{1}{4}x-\frac{5}{2}=2x+1

add 5/2

\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}

\frac{1}{4}x=2x+\frac{1*2+5}{2}

\frac{1}{4}x=2x+\frac{2+5}{2}

\frac{1}{4}x=2x+\frac{7}{2}

Subtract 2x

\frac{1}{4}x-2x=2x-2x+\frac{7}{2}

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\frac{1-2*4}{4}x=\frac{7}{2}

\frac{1-8}{4}x=\frac{7}{2}

-\frac{7}{4} x=\frac{7}{2}

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(-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )

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6 0
3 years ago
Simplify 13 &lt; z +5<br> Solve the inequality for z
lorasvet [3.4K]
<h3>hello!</h3>

First of all, subtract 5 from both sides:-

13-5<z+5-5

13-5<z

8<z

Since 8 is less than z, z is greater than 8:-

\bigstar{\boxed{\pmb{z > 8}}

Hence, all the numbers greater than 8 will make this inequality true.

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

3 0
2 years ago
Read 2 more answers
Hi please help I keep getting the anwser wrong and really need to get at least 1/2 the two right or I’ll get a zero!!!pls
qaws [65]

Answer:

x = 14\frac{7}{9}  or   14.78

Step-by-step explanation:

The lines are parallel, therefore, k(18) acts same as g(x)

That means that:

k(18) = g(x)

- 14 = -\frac{18}{7}x + 24

- 14 - 24 =  -\frac{18}{7}x

- 38 = -\frac{18}{7}x

38(7) = 18x

266 = 18x

266 / 18 = x

133 / 9 = x

x = 14\frac{7}{9}  or   14.78

7 0
3 years ago
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