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3 years ago

Select the correct answer pls!!

Mathematics

1 answer:

lukranit [14]3 years ago

8 0

Answer:

35 years

Step-by-step explanation:

Given that:

Current deer population, P0 = 800

Growth rate = 20% yearly

For the population to double in size, P = 2 * P0 = 2 * 800 = 1600

t = number of years

Using the relation :

P =P0(1 + r)^t

1600 = 800(1 + 0.2)^t

1600 / 800 = (1.02)^t

2 = (1.02)^t

t = log2 / log(1.02)

t = (0.3010299 / 0.0086001)

t = 35.003069

t = 35 years

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Edit: I figured it out, it's 14+7(sqrt sign) 2

Anettt [7]

Answer:

$Perimeter = 14 + 7\sqrt{2}$

Step-by-step explanation:

Given:

Area of the square = 49 in²

Required

Determine the perimeter of the one of the congruent triangles

First, we'll determine the length of the square;

$Area = Length * Length$

Substitute 49 for Area

$49 = Length * Length$

$49 = Length^2$

Take Square root of both sides

$7 = Length$

$Length = 7$

When the square is divided into two equal triangles through the diameter;

2 sides of the square remains and the diagonal of the square forms the hypotenuse of the triangle;

Calculating the diagonal, we have;

$Hypotenuse^2 = Length^2 + Length^2$ -- Pythagoras Theorem

$Hypotenuse^2 = 7^2 + 7^2$

$Hypotenuse^2 = 2(7^2)$

Take square root of both sides

$Hypotenuse = \sqrt{2} * \sqrt{7^2}$

$Hypotenuse = \sqrt{2} * 7$

$Hypotenuse = 7\sqrt{2}$

The perimeter of one of the triangles is the sum of the 2 Lengths and the Hypotenuse

$Perimeter = Length + Length + Hypotenuse$

$Perimeter = 7 + 7 + 7\sqrt{2}$

$Perimeter = 14 + 7\sqrt{2}$

7 0

4 years ago

On a piece of paper, graph y< -*x+2. Then determine which answer choice matches the graph you drew.

alisha [4.7K]

D. graph D

Explanation

Step 1

graph the function as a line

convert

$\begin{gathered} y$

to graph, find 2 coordianates

a) when x=0

$\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot0+2 \\ y=0+2,\text{ y=2} \\ so,\text{ we have P1(0,2)} \end{gathered}$

b) when

x=-4

$\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot-4+2 \\ y=3+2 \\ y=5 \\ P2(-4,5) \end{gathered}$

now, using two points draw a line

Step 2

we are looking fro values under this line, so the answer is

D. graph D

7 0

1 year ago

Help someoneee!!!! ill give a brainliest

Serjik [45]

Answer:

-13.5

Step-by-step explanation:

-4/3w=18

You would need to get the w by itself on one side so the easiest way to do so would be to divide both sides my -4/3.

This would give you an answer of w= -27/2 or w= -13.5

8 0

3 years ago

Solve the literal equation a + 4b = 5b - 3a for a

frez [133]

Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

6 0

2 years ago

Image attached down bellow

notka56 [123]

Answer:

Step-by-step explanation:

4 0

3 years ago