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3 years ago

What are two lines in the same plane that intersect at right angles?

Mathematics

2 answers:

Tems11 [23]3 years ago

5 0

The correct answer is B.line Segment

Hope this helps

andrew11 [14]3 years ago

3 0

Answer:

its d trust me im on usatestprep

Step-by-step explanation:

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The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra

Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

Where:

$s=$ Sample standart deviation

$N=$ Number of observations in the sample

${\displaystyle \textstyle {\bar {x}}}=$ Mean value of the sample

and $\sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$ simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

$\bar {x}=\frac{1}{N} \sum_{i=1}^{N}x_{i}$

$\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)$

$\bar {x}=\frac{1}{15}*(3810)$

$\bar {x}=254$

Now, let's calculate the summation:

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2$

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160$

So, now we can calculate the standart deviation:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

$s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}$

$s=\sqrt[ ]{\frac{2173160}{14}}$

$s=393.99$

The sample standard deviation is 393.99

3 0

3 years ago

given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

A rectangular playground is 40 meters by 10 meters its area will be covered with wood chips each bag of wood chips covers 200 sq

zysi [14]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangular playground is expressed as

Area = length × width

The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be

Area = 40 × 10 = 400 m²

Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be

400/200 = 2 bags

Each bag costs $30. Therefore, the total cost for this project would be

2 × 30 = $60

7 0

3 years ago

(x – 4)2 = -9 has no real solution

Keith_Richards [23]

Answer:

x = -1/2

Step-by-step explanation:

(x - 4) * 2 = -9

Divide both sides by 2:

x - 4 = - 9 / 2

Add 4 to both sides:

x = - 1 / 2.

5 0

2 years ago

Read 2 more answers

Marjorie bought 24 bottles of juice. Each day she opens and drinks 2 of these bottles of juice. Which inequality represents the

Anika [276]

Answer:

2d≤24

Step-by-step explanation:

Total number of bottled juice bought = 24 bottles

Amount she drank each day = 2 bottles

To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;

1 day = 2 bottles

d days = 24 bottles

Cross multiply

2 * d = 1 * 24

2d = 24

Since we want to know the greatest number of days she can continue before she has to replenish her stock, the equal to to sign will be replaced with less than or equal to sign as shown;

2d≤24

This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed

6 0

3 years ago