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Nat2105 [25]
3 years ago
6

A map shows the distance between the corner of cactus road and 1st street and the corner of 1 St Street and Merle road as 3 inch

es. If the scale is 1 in. : 3.7 mi, what is the actual distance?
Mathematics
2 answers:
melamori03 [73]3 years ago
8 0
11.1 miles 

1in / 3.7 m = 3 in / 11.1 m
Svetllana [295]3 years ago
3 0
1:3.7
3:?
1*3=3
3.7*3=11.1
3:11.1 Is Your Answer
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Please help I'll give 30 points and brainlist
Wittaler [7]
1. X= 3
2. AB= 27
3. X= 10
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college students are offered a 8% discount on a textbook that sells for $31.50 if the sales tax is 8% , find the cost of the tex
zhenek [66]
The answer should be $33.99
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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

6 0
2 years ago
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a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear​ speed, in feet per​
Yuri [45]

Answer:

The linear speed is 1,130.4\frac{ft}{min}

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

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\pi =3.14

substitute

C=2(3.14)(18)

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step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

(10)113.04=1,130.4\ ft

therefore

The linear speed is 1,130.4\frac{ft}{min}

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Answer:

I think that the answer is A.

Step-by-step explanation:

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