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Lisa [10]
2 years ago
8

Enlarge the house using a scale factor of 1 : 2.

Mathematics
1 answer:
vlabodo [156]2 years ago
5 0

Answer:

See picture & explanation below.

Step-by-step explanation:

The scale is 1:2, so everything is doubled in size.

Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.

See the picture below.

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Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12
Dima020 [189]

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

4 0
3 years ago
Randy walks 1/2 mile in each 1/5 hour. How far did randy walk in 1 hour in decimal
Lerok [7]

there are 5 1/5 in an hour

 so multiply 1/2 by 5

1/2 = 0.5

0.5 *5 = 2.5 miles in 1 hour

5 0
4 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
GEOMETRY!! I will give brainliest
Nadusha1986 [10]
No. AB is not perpendicular to AC
7 0
3 years ago
Read 2 more answers
Find the APY for an APR of 3.6% compounded (a) yearly. (b) semi-annually. (c) monthly. (d) continuously.
madam [21]

Answer:

Monthly

Step-by-step explanation:

APY is 0.0302 = 3.02 Percent - 3.00% - monthly

5 0
3 years ago
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