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4 years ago

Which numerical expression represents the value (in cents) of 12 dimes?

Mathematics

2 answers:

erma4kov [3.2K]4 years ago

7 0

B is the value ( in cents )

bekas [8.4K]4 years ago

4 0

B is the answer since dimes are worth 10 cents

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I suck at math if you could help me with these questions that would be great

docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

<em>Find the value of x in the larger triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

<em>Find the value of y in the smaller triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

$h=2(15)=30\ ft$

6 0

3 years ago

-x-5y-5z=2<br> 4x-5y+4z=19<br> x+5y-z=-20

Leno4ka [110]

(x,y,z) = (-2, -3, 3)

8 0

3 years ago

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

kondor19780726 [428]

<h3>SOLUTION : </h3>

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is $2\pi r$ . Similarly when angle is theta ,

$\implies Arc = radius \times \theta$

Now substitute respective values , from the given data ,

$\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}$

This is our required answer!

4 0

3 years ago

6X to the -8th times negative 3X to the -3

Westkost [7]

Im pretty sure it's -18x^11

4 0

4 years ago

Factor the trinomial in to 2 sets of parentheses <br> 12a squared minus 13a minus 35

Juliette [100K]

It can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

8 0

3 years ago