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photoshop1234 [79]
4 years ago
12

Need help fast answer with work shown

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
4 0

Answer:

(1) equilateral triangle

Step-by-step explanation:

Firstly, we will find all angles of triangle BCD

we are given

m<C=60

m<A=35

m<ABD=25

we know that sum of all angles in any triangle is 180

so, we get

m<A +m<ABD+m<DBC+m<C=180

we can plug values

35+25+m<DBC+60=180

m<DBC=180-120

m<DBC=60

now, we can find other angle

m<DBC+m<C+m<CDB=180

now, we can plug values

60+60+m<CDB=180

m<CDB=180-120

m<CDB=60

So, we can see that

m<C=m<DBC=m<CDB=60

so, all angles are equal

so, triangle BCD is an equilateral triangle


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<em><u>The inequality can be used to find the interval of time taken by the object to reach the height  greater than 300 feet above the ground is:</u></em>

d = -16t^2 + 1000

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the  formula:</u></em>

d = -16t^2 + 1000

To find the time interval in which the object is at a height greater than 300 ft

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-16t^2 + 1000 > 300

Solve the inequality

Subtract 1000 from both sides

-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700

16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61

Time cannot be negative

Therefore,

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3 years ago
Describe in words where the square root of twenty-four would be plotted on the number line.
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The square root of 24 would be plotted between 4 and 5, but closer to 5 on a number line.

<h3>What is a number line?</h3>

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will dictate how you answer the number on the line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, denoted by \mathbb {R}. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Number lines are extremely adaptable, that can be used to locate numbers, compare numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and much more.

The square root of \sqrt{24}=4.899, which is between 4 and 5, but closer to 5 on a number line.

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Julli [10]

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Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
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Answer:

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Step-by-step explanation:

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Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

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