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2 years ago

Find the scale factor used to produce the image in each of the following:

Mathematics

1 answer:

kiruha [24]2 years ago

5 0

Answer:

A: 5

B: 3.5

Step-by-step explanation:

In a, measurements of the sides from the left can be divided by the corresponding sides measurements to get five.

ex. 15÷3=5, 20÷4=5, and 25÷5=5

In b, the same can be said but for the scale factor 3.5

ex. 28÷8=3.5, 14÷4=3.5

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Real answers only please, i provided a picture. (no links please)

Yuliya22 [10]

Answer:

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Step-by-step explanation:

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3 years ago

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0

2 years ago

84 divided into sevenths added to 9 divided into thirds

mina [271]

(84÷7)+(9÷3) The parentheses are not necessary but I just put them.
I think that's what you meant. If you meant the other thing this would be the equation: (84÷7+9)÷3. Here the parentheses are nessasary

6 0

3 years ago

Read 2 more answers

What is the value for y?

Ivenika [448]

This triangle has 60 degrees already. Remember that the sum of all triangles have to be 180.
Since we have two y's we can simplify it as 2y + 60 = 180.

We can now set this up as an algebraic equation.

2y + 60 = 180
Subtract 60 from both sides.
2y = 120
Divide both sides by 2
y = 60.

Y = 60, your answer is D.)

I hope this helps!

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3 years ago

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Which system of equations has no solution?

allochka39001 [22]

Answer:

${ \binom{7x - 2y = 9}{7x - 2y = 13} }$

6 0

2 years ago

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