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1 year ago

Triangle rst is dilated by a scale factor of 5 to form triangle r's't'. side r's' measures 40. what is the measure of side rs?

Mathematics

1 answer:

LenKa [72]1 year ago

5 0

Answer: 8

Step-by-step explanation:

We know that scale factor = (image)/(preimage).

Substituting in what we have,

$5=\frac{R'S'}{RS}\\\\5=\frac{40}{RS}\\\\RS=\boxed{8}$

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Please help me I’m hella confused

shepuryov [24]

Answer:

$m\angle 2=33^\circ$

Step-by-step explanation:

<u>Right Triangle</u>

The figure shows a right triangle with angles 2 and 3 unknown.

The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

$m\angle 2+m\angle 3=90^\circ$

The measures of both angles are expressed as functions of x. Substituting their values:

x+8 + 2x + 7 = 90

Simplifying:

3x + 15 = 90

Operating:

3x = 90 - 15 = 75

Solving:

x = 75 / 3 = 25

x = 25°

Now, the measure of angle 2=x+8 = 33°

$\boxed{m\angle 2=33^\circ}$

7 0

2 years ago

Need a little help!

zhenek [66]

Answer = 7234.6 cm cu.
Reason
Volume of sphere
V= 4/3 x TT x r^3
V = 4/3 x 3.14 x 12^3
V= 7234.56
Rounded to 7234.6

5 0

1 year ago

The rule for h(f(x))

Marat540 [252]

Answer:

h(f(x))=3x-4

Step-by-step explanation:

You combine both F(X) and H(x).

f(x)=x-7 , therefore it is f(x)=1x-7

You add 2x with 1x to get 3x

and 7-3 is -4.

h(f(x))=3x-4

7 0

2 years ago

Please help i beg i never get these right

Anuta_ua [19.1K]

Answer:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

Step-by-step explanation:

Given

$\sin(105^o)$

Required

Solve

Using sine rule, we have:

$\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)$

This gives:

$\sin(105^o) = \sin(60 + 45)$

So, we have:

$\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)$

In radical forms, we have:

$\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}$

$\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}$

Take LCM

$\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}$

Rewrite as:

$\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}$

Hence:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

3 0

2 years ago

Now, determine a general rule for what happens when we have two exponential

fomenos

Y=mx+b so this means you’ll get the correct answer

3 0

2 years ago