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2 years ago

Given LMNP ∼ QRST, find RS.

Mathematics

2 answers:

creativ13 [48]2 years ago

6 0

I can’t solve right now but if you know cross multiplication i can set up the equation for you

27/45=x/25
now cross multiply and get your answer :)

lianna [129]2 years ago

4 0

Answer and Step-by-step explanation:

We know that shape LMNP is similar to shape QRST.

This means that the side LM is similar to side QR.

The shapes look dilated, so to find the scale factor, we would divide 45 by 27.

$\frac{45}{27} = \frac{5}{3} , or 1.6^{-}$ is the dilation factor.

So, to find x, we would divide 25 by $\frac{5}{3}$ .

$\frac{25}{\frac{5}{3} } = 25 * \frac{3}{5} = 15$

X is equal to 15.

#teamtrees #WAP (Water And Plant)

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Anything can solve this

prohojiy [21]

Answer:

64.87° = 65°{ to the nearest degree}

Step-by-step explanation:

From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.

Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram

A = ? ( The angle of elevation of Aisha towards the balloon)

C = 55°

From Sine rule

It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.

This is expressed mathematically as;

Sin A/ a= SinB/ b= SinC/c

We take the pairs of relevance;

Sin A/ a = SinC/c

There SinA = SinC/c × a

=Sin55/95 × 105

= 0.9053

A = Sin^(-1)[0.9053]

A = 64.87° = 65°{ to the nearest degree}

6 0

3 years ago

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

8 0

3 years ago