All categories

3 years ago

Vertical angels are always what to each other

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

Equal

Step-by-step explanation:

vertical angels are always equal to one another.

You might be interested in

Rewrite the number in Standard form 1.2 x 107

Eva8 [605]

12,000,000
Hope that helped XD

3 0

3 years ago

Chloe bought 6 booklets of stickers. Each booklet has 13 pages of star stickers and 21 pages of foil stickers.

andriy [413]

24 because is the best number

4 0

3 years ago

Read 2 more answers

The composite figure is made up of a rectangle and two pentagons. Find the

NARA [144]

Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

$A=\frac{5}{2} (a)(s).$

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon $= \frac{5}{2} (5.5)(8) = 110$ sq units.

The area of 2 such pentagons $= 2(110)= 220$ square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle $= (l)(w).$

The area of the rectangle $= (14)(8)=112$ square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape $=220+112=332$ sq units.

The area of the composite shape is option A. 332 sq units.

4 0

3 years ago

The size P of a small herbivore population at time t (in years) obeys the function P(t) = 1000e0-16t if they have enough food an

Stells [14]

Answer:

After 9 years, the population reach 4000.

Step-by-step explanation:

The given function P(t) represents the size of a small herbivore population at time t (in years).

$P(t)=1000e^{0.16t}$

We need to find the number of years after which population reach 4000.

Substitute P(t)=4000 in the above function.

$4000=1000e^{0.16t}$

Divide both sides by 1000.

$4=e^{0.16t}$

Taking ln on both sides.

$\ln 4=\ln e^{0.16t}$

$1.3863=0.16t$ $[\because \ln e^x=x]$

Divide both sides by 0.16.

$\dfrac{1.3863}{0.16}=t$

$8.664375=t$

We need to find the number of years. So, round the answer to the next whole number.

$t\approx 9$

Therefore, after 9 years, the population reach 4000.

5 0

3 years ago

write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1

vekshin1

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

Perpendicular: y = -2

In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.

5 0

3 years ago