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3 years ago

Simplify- 5+2{3x+7(2-x)}

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

4 0

Answer:

16x+19

Step-by-step explanation:

i might be wrong and its gonna take so long to explain it

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Find the surface area of the cylinder.

Ronch [10]

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

4 0

3 years ago

Read 2 more answers

Ahmad rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 88 cents for each mile d

Masteriza [31]

Answer:

266 miles

Step-by-step explanation:

(244.09-17.99)/0.85=266

6 0

3 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 42%. Part 1 out of 4

BigorU [14]

Answer:

0.42

Step-by-step explanation:

The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.

The expression of the markdown using a decimal can be represented below.

Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal. Or you can just divide the percentage value by 100.

In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.

6 0

3 years ago

What happens to the Law of Cosines if the known angle is 90 degrees?

poizon [28]

Answer:

See below.

Step-by-step explanation:

It transforms to the Pythagoras theorem.

c^2 = a^2 + b^2 - 2ab cos C

If C = 90, cos C = zero so the last term disappears.

c^2 = a^2 + b^2 - 2ab * 0

c^2 = a^2 + b^2.

8 0

3 years ago