How many significant digits are there in the product of 0.005 and 25.725

In 2007, a census counted 2815 of a certain animal. This was 315 fewer than the number counted in 2006. What was the population

Irina-Kira [14]

Answer: 3,130

Step-by-step explanation: 2,815 + 315 = 3,130

7 0

3 years ago

(7/6)3y+15=(49/36)4y

Doss [256]

Answer:

y=54/7

Step-by-step explanation:

8 0

3 years ago

(-x+3)-(x-5) please show work

Lina20 [59]

simplify each term

apply the distributive property

-X+3+(-X- -5)

multiple -1 by -5

-X+3+(-x+5)

remove unnecessary parentheses

-x+3-×+5

subtract x from -x

-2x+3+5

add 3 and 5.

-2x+8

5 0

3 years ago

Two angles are supplementary if their sun is 180. The larger angle measures five degrees more than four times the measures of a

Jet001 [13]

Answer:

The smaller angle is 35 and the larger one is 145.

Step-by-step explanation:

In order to find this, we need to express the larger angle in terms of the smaller angle (x).

4x + 5 = large angle.

Now that we have this, we can add them together and set equal to 180.

x + (4x + 5) = 180

5x + 5 = 180

5x = 175

x = 35

Now that we have the value of the smaller angle, we can plug in to get the larger angle.

y = 4x + 5

y = 4(35) + 5

y = 140 + 5

y = 145

3 0

3 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago