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3 years ago

Please help me with this

Mathematics

1 answer:

ipn [44]3 years ago

4 0

Answer:

n is 24 degrees

EFG is 111 degrees

GFH is 69 degrees

Step-by-step explanation:

They are a linear pair so they are supplementary.

4n + 15 + 2n + 21 = 180

6n + 36 = 180

6n = 144

n = 24

4(24)+15 = 111

2(24)+21 = 69

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What is the radius of a sphere with a volume of 1/6 pie

Yakvenalex [24]

Answer:

$\large\boxed{the\ radius\ R=\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

We have

$V=\dfrac{1}{6}\pi$

Substitute:

$\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi$ <em>divide both sides by π</em>

$\dfrac{4}{3}R^3=\dfrac{1}{6}$ <em>multiply both sides by 3</em>

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}$

$4R^3=\dfrac{1}{2}$ <em>divide both sides by 4</em>

$R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}$

3 0

3 years ago

Factor completely 9x3 36x2 − x − 4. (3x 4)(3x − 4)(x 1) (3x 1)(3x − 1)(x 4) (9x2 − 1)(x 4) (3x 1)(3x − 1)(x − 4).

Arlecino [84]

The factor of the provided polynomial after the factorization process are similar to option B, which is

$(x+4)(3x+1)(3x-1)$

<h3>How to find the factor of polynomial?</h3>

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

$9x^3 +36x^2 - x - 4$

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

$9x^2(x +4) - x - 4$

Take out the highest common factor -1 from the second two terms as,

$9x^2(x +4) -1( x + 4)$

Now take out the common group (x+4) as,

$(x +4) ( 9x^2 -1)$

The second group can be rewritten using the difference of square formula as,

$(x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)$

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

$(x+4)(3x+1)(3x-1)$

Learn more about factor of polynomial here;

brainly.com/question/24380382

4 0

3 years ago

Pls Help Ill Give Brainlist

lesya692 [45]

Answer:

$(\frac{1}{2}, - \frac{1}{2} )$

Step-by-step explanation:

The properties of circumcenter give that it lies at the midpoint of the hypotenuse if it is of a right triangle.

Now, the given triangle is a right triangle and the two ends of the hypotenuse WU are U(-3,2) and W(4,-3).

Therefore, the mid point of the hypotenuse WU will be given by $(\frac{-3 + 4}{2}, \frac{2 - 3}{2}) = (\frac{1}{2}, - \frac{1}{2} )$ .

Therefore, the circumcenter of the right triangle Δ UVW will be $(\frac{1}{2}, - \frac{1}{2} )$ . (Answer)

7 0

3 years ago

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

$Side\ 1 = 10$

$Side\ 2 = 14$

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

$x^2 = Side\ 1^2 + Side\ 2^2$

This gives

$x^2 = 10^2 + 14^2$

$x^2 = 100 + 196$

$x^2 = 296$

Take square root

$x = \sqrt{296$

$x = 17.2in$

3 0

3 years ago

0.5 is a rational number.<br> True<br> False

velikii [3]

Answer:

true

Step-by-step explanation:

Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .

Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)

Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .

Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.

So in this case, yes, 0.5 is a rational number.

5 0

3 years ago

Read 2 more answers