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2 years ago

An ______ triangle is also an acute and equilateral triangle.

Mathematics

2 answers:

Alla [95]2 years ago

4 0

Answer:

Right

Step-by-step explanation:

A right triangle has acute angles and is an equilateral triangle.

Colt1911 [192]2 years ago

4 0

Equiangular Triangle

The angles A,B and C always remain equal in measure. The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle.

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Two motorcyclist A and B, started simultaneously moving towards each other. From the graph given below, find the distance each o

otez555 [7]

Answer:

Distance Covered by Motorcyclist A = 400 kilometers

Distance Covered by Motorcyclist B = 300 Kilometers

Time before they met = 5 hours

Average Speed of Motorcycle A = 80 kilometers per hour

Average Speed of Motorcycle B = 60 kilometers per hour

Step-by-step explanation:

At point t = 5 and d = 300 is their <em>meeting point</em>.

Distance Covered by Motorcyclist A = from 700 to 300 (meeting point), that is 700 - 300 = 400 kilometers

Distance Covered by Motorcyclist B = from 0 to 300 (meeting point), that is 300 - 0 = 300 kilometers

The time before they met went for 5 hours as shown in graph.

Average speed of each motorcycle is given by the slope of the line. We can figure this out easily. We have to find distance traveled per hour.

Average Speed of Motorcycle A = it went 400 km in 5 hours, so 400/5 = 80 kilometers per hour

Average Speed of Motorcycle B = it went 300 km in 5 hours, so 300/5 = 60 kilometers per hour

4 0

2 years ago

PLEASE HELP!! within the interval notation of [-3,-2) the function below is…

kkurt [141]

Answer: increasing

Step-by-step explanation: The slope of the graph is positive.

7 0

2 years ago

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

2 years ago

On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2

lapo4ka [179]

Answer:

maximum value of y = 3

Step-by-step explanation:

line Starts at -4 , 0 & turns at - 1 , 3

Slope = (3 - 0)/(-1 -(-4)) = 3/3 = 1

y = x + c

=> 0 = - 4 + c => c = 4

=> y = x + 4

line after turning crosses the y-axis at (0, 2) and the x-axis at (2, 0)

slope of this line : (0-2)/(2-0) = -1

y = - x + c

2 = 0 + c => c = 2

=> y = - x + 2

=> y = 2 - x

Values Drawn

x y

-4 0

-3 1

-2 2

-1 3

0 2

1 1

2 0

4 0

3 years ago

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NikAS [45]

Answer:

4 minus a number times three

5 0

3 years ago

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