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3 years ago

Help pls !! this is my trig test btw

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

<h3><u>Required Answer:-</u></h3>

This is an right angle ∆ and the side lengths containing a right angle are 54 cm and 85 cm.

By Pythagoras theoram,

${a}^{2} + {b}^{2} = {c}^{2}$

where a is the perpendicular, b is the base and c is the hypotenuse.

Plugging the values,

${54}^{2} + {85}^{2} = {h}^{2}$

Then,

$h = \sqrt{ {54}^{2} + {85}^{2} }$

$h = 100.70 cm(approx.)$

<h3><u>Hence:-</u></h3>

The x of the right angled ∆ = <u>100.</u><u>7</u><u>0</u><u> </u><u>cm</u>

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If (a^3+27)=(a+3)(a^2+ma+9) then m equals

Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

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3 years ago

Hello, precalc, need help on finding csc

Ainat [17]

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Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

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3 years ago

Solve the equation by completing the square. Round the square. Round to the nearest hundredth if necessary. x2 - 3x -12 =0

dmitriy555 [2]

A:5.27,-2.27 should be your answer

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3 years ago

Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 1

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A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is $5.6\times10^{-11}$ meters.

The radius of a beryllium atom is $1.12 \times10^{-10}$ meters

<h3>Negative exponents</h3>

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is $5.6\times10^{-11}$ meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is $r$ mm. Thus,

$r=5.6\times 10^{-11}\\
r=5.6\times 10^{-10-1}\\
r=5.6\times 10^{-10}\times10^{-1}\\
r=\dfrac{5.6\times 10^{-10}}{10} \\
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Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is $0.56\times 10^{-10}$ meters and the radius of the beryllium atom is $1.12 \times10^{-10}$ . Thus the radius of beryllium atom is larger.