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fgiga [73]
3 years ago
15

What is x x+5+X+9=90

Mathematics
1 answer:
Natali [406]3 years ago
5 0
2x + 14 = 90
2x + 14 - 14 = 90 - 14
2x = 76
x = 38
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The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 2) and goes to Q(5, 2). It goes from Q to R(5
love history [14]

Answer:

The total length (in units) of the biking trail is 17 units.

Step-by-step explanation:

o find distance between points A(x¹, y¹) and B(x², y²), we use formula:

d = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}

The trail starts at P(−2, 2) and goes to Q(5, 2).

So, the distance PQ will be calculated as:

PQ = \sqrt{(5^{}-(-2)^{})^{2}+(2^{}-2^{})^{2}

PQ = \sqrt{(49^{}+0)

PQ = 7 units

Then the trail goes from Q(5, 2) to R(5, −5).

So, the distance QR will be calculated as:

QR = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}

QR = \sqrt{(5^{}-5^{})^{2}+(-5^{}-2^{})^{2}

QR = 7 units

And then from R(5, −5) to S(8, −5).

RS = \sqrt{(8^{}-5^{})^{2}+(-5^{}-(-5)^{})^{2}}

QR = 3 units

Hence, the total length of the biking trail is:

                               PQ + QR + QR = 7 + 7 + 3 = 17 units

Keywords: distance formula, length

Learn more about distance formula to find length from brainly.com/question/10903929

#learnwithBrainly

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A cone has a volume of 2,355 cubic inches and a height of 10 inches. How many inches is the diameter of the cone
Neporo4naja [7]

Hello there,

Okay well first we right down what we already know:

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 - the height is 10 inches

Now we write down the equation for the volume of a cone: V = πr²\frac{h}{3}

  • lets plug in what we know into the equation

                                     2,355 = πr²\frac{10}{3}

  • now we simplify to solve for r

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                           706.5/π = r²= 224.89

  • now since its r² we take the square root of 224.89

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  • for diameter we multiply 15 by 2

                           diameter = 30 inches

Hope I helped,

Amna

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