Sales taxis $0.065 per dollar where ray lives. what precent of a dollar is the sales tax

f a triangle has a side length of 10, 12 and 15 units respectively, what type of triangle is it acute right obtuse or no solutio

Luda [366]

Answer:

Acute.

Step-by-step explanation:

Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Using this we can narrow it down that this DOES have a solution, since 10+12>15.

Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.

If c^2= a^2+b^2, then it is a right triangle.

If c^2< a^2+b^2 then it is an acute triangle.

If c^2>a^2+b^2 then it is an obtuse triangle.

We can now substitute. (A and B are interchangeable, but C is the longest length.

A=10

B=12

C=15

A^2=100

B^2=144

C^2=255

We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).

Hope this helps!

5 0

3 years ago

Use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements ab

Reika [66]

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

<em>Find the scale factor</em>

Let

z ---> the scale factor

$z=\frac{3}{1.5}=2$

step 2

Find the perimeter of the enlarged rectangle

Multiply the perimeter of the original rectangle by the scale factor

The perimeter of the original rectangle is

$P=2(1.5+3.25)=9.5\ units$

so

The perimeter of the enlarged rectangle is

$9.5(2)=19\ units$

step 3

Find the area of the enlarged rectangle

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is

$A=(1.5)(3.25)=4.875\ units^2$

so

The area of the enlarged rectangle is

$4.875(2^2)=19.5\ units^2$

The area of the enlarged rectangle is 4 times the area of the original rectangle

step 4

Find the value of b

Multiply the corresponding side of the original rectangle by the scale factor

$b=3.25(2)=6.50\ units$

Verify the perimeter of the enlarged rectangle

$P=2(3+6.50)=19\ units$ ----> is ok

Verify the area of the enlarged rectangle

$A=3(6.50)=19.5\ units^2$ ---> is ok

8 0

4 years ago

Read 2 more answers

The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the

Alex17521 [72]

From the graph it appears that S′(5) 2 ≈ and S′(25) 2 ≈ − . The important thing is that they do have opposite signs. The first means that at about 5ºC the Coho gains about 2 cm/sec while at 25ºC it loses about 2 cm/sec in maximum sustainable speed.

3 0

3 years ago

Read 2 more answers

What's the square footage of a rectangle 4ft by 6ft

KengaRu [80]

The square footage would be 24 feet.

7 0

4 years ago

A 4 digit starts with 25. The next two digits are3 times the first 2 digits. This 4 digit number is multiplied by352. What is pr

Stella [2.4K]

1st two are 25, next two are three times that

so 3 x 25 = 75

so the four digit number is 2575

that is multiplied by 352

so 2575 x 352 = 906400

5 0

3 years ago

Sales taxis $0.065 per dollar where ray lives. what precent of a dollar is the sales tax​

Sales taxis $0.065 per dollar where ray lives. what precent of a dollar is the sales tax