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3 years ago

Find the area of the shaded region.

Mathematics

1 answer:

Ghella [55]3 years ago

4 0

This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5

The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²

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15x+ 25= 35x Someone plz help

svet-max [94.6K]

Answer:

x= 5/4 this is correct answer hope it helps

3 0

3 years ago

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Plz help/ Trigonometric models and sine functions: plz show how you got and the GRAPH! Thx to anyone that can help

Shtirlitz [24]

Answer:

$y=-2\sin(2x)-2$ - The graph is attached below.

Step-by-step explanation:

Given : A sine function has the following key features:

Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)

The function is a reflection of its parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is $y=A sin(Bx)+C$

Where A is the amplitude

$B=\frac{2\pi}{\text{Period}}$

C is the midline

Substitute the given key features

A=2 , C=-2

$B=\frac{2\pi}{\pi}=2$

The sin function is $y=2\sin(2x)-2$

The function is a reflection of its parent function over the x-axis.

i.e, The coordinate became (x,y)→(x,-y)

The sin function is $y=-2\sin(2x)-2$

Now, We plot the graph of the sin function.

The graph is attached below.

First point is midline i.e, (0,-2)

Minimum point is $(\frac{\pi}{4},-4)$

7 0

2 years ago

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Pieces of Mail. The number of pieces of mail

Zina [86]

Answer:

20.8%

Step-by-step explanation:

The number of the pieces of mail handled by the U.S postal service decreased from 212,000,000,000 to 168,000,000

Therefore the percentage decrease can be calculated as follows

= 212,000,000,000-168,000,000,000

= 44,000,000,000/212,000,000,000 × 100

= 0.2075 × 100

= 20.8 %

Hence the percentage decrease is 20.8%

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2 years ago

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

ICE Princess25 [194]

Answer:

The weights within this range are:

8.9

9.5

9.8

10.4

Step-by-step explanation:

The graph represents the normal distribution with a mean of 9.5 and a standard deviation of 0.5. Therefore, the range of the values within 2 standard deviations is:

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

8.5 ≤ x ≤ 10.5

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3 years ago

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What is the correct factorization of 5!?

Oksi-84 [34.3K]

Answer:

B) 5 x 4 x 3 x 2 x 1

Step-by-step explanation:

When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:

5! = 5 * 4 * 3 * 2 * 1

For example, take factoral 10: 10!

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

In this case, you are multiplying 5!.

5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120

5! = 120

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3 years ago