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3 years ago

Factor the following expression. x squared plus 14 x plus 48x2+14x+48

Mathematics

1 answer:

ASHA 777 [7]3 years ago

5 0

Are you sure this is written correctly. It is not factorable as it is

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

3 years ago

Read 2 more answers

Plzzzzz 100 points 3 questions plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

KonstantinChe [14]

Answer:

do ur test by ur own understanding... xD

Step-by-step explanation:

<h3>all the natural numbers can be expressed in the form of the product of its prime factors.</h3>

8 0

3 years ago

Factorise x^{2} +2x-24[/tex]

Talja [164]

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

5 0

3 years ago

Find the first five terms of the sequence below <br> a1=3<br> An=an-1+6

mihalych1998 [28]

The first dove terms are:3,9,12,15,18

4 0

3 years ago

Out of £20 pocket money Rachel spends £13.50 expressed as a percentage

prohojiy [21]

13.50 : 20 = x : 100

x = $\frac{13.5 * 100}{20}$

x = $\frac{1350}{20}$

x = 67,5

percentage = 67,5%

3 0

3 years ago