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3 years ago

Hiro is creating a smaller scaled replica of a triangular canvas.

Mathematics

2 answers:

kkurt [141]3 years ago

5 0

Answer:

AB= AC times AE/AD

Step-by-step explanation:

AB is on the segment AC, therefore it is proportional to AC .

In order to fulfill the requirement that triangle ABE is a smaller scaled replica of triangle ACD, a scale factor must be applied to the sides of the original figure; in this case, the factor is AE/AD.

brilliants [131]3 years ago

3 0

Answer:

AB= AC times AE/AD

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

AB/AC=AE/AD

solve for AB

AB=(AC)(AE)/AD

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Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car

ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0

3 years ago

F(x)=3×^2+5×+4×and g(×)=3×find (f/g)(×)<br>

serious [3.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago

the area of the base of a pyramid is 18 square yards. the height of the pyramid is 5 yards what is the volume of the pyramid

nikitadnepr [17]

V=areax height
v=18x5
v=90

3 0

3 years ago

Complete the statements.

spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

$3tan^2(x)-1 =0$

Lets assume tan(x) = u

$3u^2(x)-1 =0$

Now we solve for 'u'

add 1 on both sides

$3u^2(x) =1$ , divide both sides by 3

$u^2 = \frac{1}{3}$

Take square root on both sides

$u = +-\frac{1}{\sqrt{3} }$

We replace tan(x) for 'u'

$tan(x) = +-\frac{1}{\sqrt{3} }$

x = 30 because $tan(30) =+\frac{1}{\sqrt{3} }$ in first quadrant

x = 30 (tan is positive in first quadrant)

$tan(x) =-\frac{1}{\sqrt{3} }$

x = 150 because $tan(150) =-\frac{1}{\sqrt{3} }$ in second quadrant

tan is negative in second quadrant

4 0

3 years ago

What is the value of a in the equation 5a-10b=45, when b=3?

Ainat [17]

Answer:5a-30=45

Step-by-step explanation:

So something times 5 minus 30 will give you 45

8 0

3 years ago

Read 2 more answers