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Mandarinka [93]
3 years ago
13

Please help (photo attached)

Mathematics
1 answer:
ipn [44]3 years ago
8 0
Formula for triangle area = base times height over two. area of smallest triangle: 2*2/2, so 2. area of medium sized triangle: 2*6/2, so 6. the square in between those triangles has an area of four (2*2). the base of the largest triangle is 2+2+6, so 10, and the height is 4. use the formula to find its area is 20. add them all together to get 4+6+4+20 is 34 units^2.
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The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t
Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = (1\frac{1}{2})x

Perimeter of this isosceles triangle = x + x + (1\frac{1}{2})x

                                                          = 2x + (1+\frac{1}{2})x

                                                          = 2x + x + \frac{x}{2}

                                                          = \frac{5x}{2}

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = \frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}

Perimeter of the smaller triangle = \frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}

                                                      = x + \frac{x}{2}+\frac{x}{4}

                                                      = \frac{3}{2}x+\frac{x}{4}

                                                      = \frac{6}{4}x+\frac{x}{4}

                                                      = \frac{7}{4}x

                                                      = 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)        

4 0
2 years ago
The circle below is centered at the point (4,1) and has a radius of length 2. What is it’s equation?
vekshin1

Answer:

Option B:

(x-4)^2+(y-1)^2 = 4

Step-by-step explanation:

Given

Centre = (h,k) = (4,1)

Radius = r = 2

The standard equation of circle is:

(x-h)^2+(y-k)^2=r^2

Putting the values of h,k and r

(x-4)^2+(y-1)^2 = (2)^2\\(x-4)^2+(y-1)^2 = 4

Hence, the correct option is option B

(x-4)^2+(y-1)^2 = 4

5 0
3 years ago
Read 2 more answers
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measuremen
Varvara68 [4.7K]

Answer:

6 millimeters

Explanation:

The standard deviation is the square root of the variance.

Since the variance is 36, the standard deviation would be

√36 = 6

4 0
3 years ago
Read 2 more answers
Plz plz hurry plz hurry plz hurry
e-lub [12.9K]
The answer is C that can be the x-intercepts of the parabola
6 0
2 years ago
Read 2 more answers
A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial off
Travka [436]

Answer:

There are 524,560 ways that the committee can be​ appointed.

Step-by-step explanation:

There are 9 different positions, a president, 3 officers and five committee members.

So

P - O1 - O2 - O3 - C1 - C2 - C3 - C4 - C5

There are 17 candidates, any of them can be president. So P = 17.

All of the others can be an officers. So O1 = 16, O2 = 15(17 subtracted by the president and O1), O3 = 14.

The officers can be committee members, so, C1 = 16, C2 = 15, C3 = 14, C4 = 13, C5 = 12.

How many different ways can the committee be​ appointed?

This is the sequence C1...C5:

N = 16*15*14*13*12 = 524,560

There are 524,560 ways that the committee can be​ appointed.

6 0
3 years ago
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