Write four pairs of prime numbers less than 20 whose sum is divisible by 5.

an engineer decides to use similar triangles to find the distance across the river she makes the diagram below which triangles t

sergiy2304 [10]

<h2>Explanation:</h2><h2 />

The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:

$\frac{h}{56.7}=\frac{17.2}{52.4} \\ \\ h=56.7\times \frac{17.2}{52.4} \\ \\ h=18.61m$

Our goal is to find x. So by Pythagorean theorem:

$x=\sqrt{17.2^2+18.61^2} \\ \\ \boxed{x=25.34m}$

Conclusion:

ΔABC ~ΔDEF

Distance across the river is 25.34m

8 0

2 years ago

HELPPPPPPPPPPPPPPPPPPPP

ahrayia [7]

Answer:

Prisms have two congruent -- or identical -- bases, and pyramids only have one base. The shape of the base on pyramids and prisms can vary, depending on the shape of the overall three-dimensional object. For example, the base could have a square, rectangle, triangle, hexagon, pentagon or octagon shape.

Step-by-step explanation:

7 0

2 years ago

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Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at B

Galina-37 [17]

Answer:

$Min =120, Max= 150$

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

$Q_1 = \frac{140+120}{2}=130$

The median is the value in the 6th position from the dataset ordered and we got:

$Median= 135$

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

$Q_3 = \frac{140+143}{2}=141.5$

The five number summary for this case:

Min. 1st Qu. Median Mean 3rd Qu. Max.

120.0 130.0 135.0 135.6 141.5 150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

$Min =120, Max= 150$

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

$Q_1 = \frac{140+120}{2}=130$

The median is the value in the 6th position from the dataset ordered and we got:

$Median= 135$

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

$Q_3 = \frac{140+143}{2}=141.5$

The five number summary for this case:

Min. 1st Qu. Median Mean 3rd Qu. Max.

120.0 130.0 135.0 135.6 141.5 150.0

The boxplot is on the figure attached

8 0

3 years ago

Find the area of the shape shown below.

tekilochka [14]

Answer:

about 23.25

Step-by-step explanation:

i did the math.

6 0

2 years ago

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If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'?

Mice21 [21]

Answer:

(x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units

(x ,y ) → ( x +6 , y - 10)

Step-by-step explanation:

Explanation:-

Type of Transformation Change to co-ordinate point

Vertical translation up 'd' units (x, y) → (x , y+d)

Vertical translation down 'd' units (x, y) → (x , y-d)

Horizontal translation left 'c' units (x ,y ) → (x - c , y)

Horizontal translation right 'c' units (x ,y ) → (x + c , y)

Given (x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units

There fore

(x ,y ) → ( x +6 , y - 10)

7 0

2 years ago

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Write four pairs of prime numbers less than 20 whose sum is divisible by 5.​

Write four pairs of prime numbers less than 20 whose sum is divisible by 5.