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3 years ago

Help me please algebra 2 PLEASSEEEEE!!!

Mathematics

1 answer:

liq [111]3 years ago

5 0

Answer:

29.74 degrees.

Step-by-step explanation:

Tan(theta) = opposite / adjcent.

opposite = 8

adjacent = 14

Tan(theta) = 8/14

Tan(theta) = 0.5714

theta = tan^-1(0.5714)

theta = 29.74 degrees

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Alecsey [184]

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3 years ago

The linear density of a rod of length 4 m is given by (x) = 2/sqrt(x), in grams per centimeter, where x is measured in centimete

lyudmila [28]

The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.

<h3>What is the density of a substance?</h3>

The density of a substance is the ratio of its mass and its volume. Therefore we can write,

$d = \dfrac{m}{v}$

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,

$m = \int_0^4(2\sqrt x)dx\\\\$

$= [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams$

Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.

Learn more about Density:

brainly.com/question/952755

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5 0

2 years ago

Help me to solve this question plez!!

dimaraw [331]

Let First Sphere be the Original Sphere

its Radius be : r

We know that Surface Area of the Sphere is : 4π × (radius)²

⇒ Surface Area of the Original Sphere = 4πr²

Given : The Radius of Original Sphere is Doubled

Let the Sphere whose Radius is Doubled be New Sphere

⇒ Surface of the New Sphere = 4π × (2r)² = 4π × 4 × r²

But we know that : 4πr² is the Surface Area of Original Sphere

⇒ Surface of the New Sphere = 4 × Original Sphere

⇒ If the Radius the Sphere is Doubled, the Surface Area would be enlarged by factor : 4

6 0

3 years ago

What is the expand form for 0.632

pav-90 [236]

0.600 is ur answer Hopes this helps u.

5 0

3 years ago

The points (4,k) and (5,-8) fall on a line with a slope of -7. what is the value of k?

babunello [35]

Answer:

k= -1

Step-by-step explanation:

To find k, use the points and the m =-7 in the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\-7=\frac{-8-k}{5-4} \\\\-7 = \frac{-8-k}{1}\\\\-7=-8-k\\\\k = -8+7\\\\k=-1$

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3 years ago