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2 years ago

PLEASE HELP ASAPPPPPPP

Mathematics

1 answer:

algol132 years ago

3 0

Answer:

the 2nd at the bottom left

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Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0

mixas84 [53]

$\cos^2(x)+2\cos(x)+1=0\\\\ (\cos(x)+1)^2=0\\\\ \text{So:}\\\\ \cos(x)+1=0\\\\ \cos(x)=-1\\\\ \boxed{x=\pi+2k\pi},~k\in\mathbb{Z}$

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3 years ago

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A map of a forest uses a scale of 1 inch = 15 miles. The dimensions of the map are 8 inches by 14.5 inches. What is the actual a

Bad White [126]

The dimension from 8 inches to actual size is 8 * 15 = 120. 14.5 inches to actual size is 14.5 * 15 = 217.5.

Then, you multiply 120 to 217.5 to get 26100 square miles.

The answer is D.

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3 years ago

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

Slope:

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

Slope:

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

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3 years ago

STMolciatio saisi savo Paintinoindiadoc 7 8 8 को Incouvarior 3

liubo4ka [24]

Answer:I do not speak

Step-by-step explanation: if u answer them all you get I do not speak I hope this helped :)

4 0

3 years ago

The teacher has 20 Thanksgiving stickers and 5 of them are scarecrows. What percentage of the stickers are scarecrows?(PLEASE HE

Arturiano [62]

Answer:

25%

Step-by-step explanation:

20 / 5 = 4

100 ÷ 4 = 25

= 25%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

8 0

2 years ago