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3 years ago

Solve for x. 4/x + 3/x =14 answer choices is 2,-2,1/2,3/7,1/4

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Answer:

=1/2

Step-by-step explanation:

i hope i'm right

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Find the 9th term in a geometric sequence whose common ration is 1/3 and first term is 6

sasho [114]

Answer:

Therefore 9th term of the geometric sequence is $\frac{2}{2187}$

Step-by-step explanation:

Given first term(a) = 6

and common ratio = $\frac{1}{3}$

$T_n= ar^{n-1}$

$\therefore T_9=ar^{9-1}$

$\Leftrightarrow T_9=a r^8$

$\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8$

$\Leftrightarrow T_9=\frac{2}{2187}$

Therefore 9th term of the geometric sequence is $\frac{2}{2187}$

7 0

4 years ago

jacks tent is shaped like an isosceles triangle. the height of the tent measures 7 feet and the diagonal side measures 9 feet. f

Maru [420]

Answer:

$8\sqrt{2}\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

Remember that

An isosceles triangle has two equal sides and two equal interior angles

In the isosceles triangle ABC

Applying the Pythagorean Theorem

Let

b ----> the length of the tents base

$9^2=7^2+(b/2)^2$

$(b/2)^2=9^2-7^2$

$(b^2/4)=32$

$b^2=128\\\\b=\sqrt{128}\ ft$

simplify

$b=8\sqrt{2}\ ft$

7 0

4 years ago

Shapes A and B are similar.

kari74 [83]

The scale factor from A to B is 5/3 and the value of r is 33/5

<h3>The scale factor from A to B</h3>

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

<h3>The value of r</h3>

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5