Can someone answer this for me, please?

The hypotenuese of an isosceles right triangle is 16 inches. The midpoints of its sides are connected to form an inscribed trian

ser-zykov [4K]

Answer:

256/3 = 85 1/3 square inches

Step-by-step explanation:

The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...

A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches

The sum of an infinite series with first term 64 and common ratio 1/4 is ...

S = a1/(1 -r) . . . . . . for first term a1 and common ratio r

= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches

The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.

3 0

3 years ago

What are the side lengths of a rectangle if the area = 40 in and the perimeter = 48 in

Serggg [28]

4, 10, 4, 10. 10*4 gives area of 40. 10+10+4+4 gives 48 as shown in question

4 0

3 years ago

Read 2 more answers

Jake recorded a temperature of 9 degrees Celsius, and Kwan recorded a temperature of -22 degrees Celsius. How much warmer was th

Aleks [24]

87.8 degrees more warmer in fahrenheit.

6 0

3 years ago

Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Lady_Fox [76]

Rotation and reflection are instances of transformation

See attachment for the new position of $\triangle ABC$

From the question, we have:

$A = (-1,1)$

$C = (-2,4)$

The rule of 90 degrees clockwise rotation is:

$(x,y) \to (y,-x)$

Using the above transformation, the new points would be

$A' = (1,1)$

$B' =(3,3)$

$C' = (4,2)$

The next transformation is reflection over the x-axis

The rule of this transformation is:

$(x,y) \to (x,-y)$

So, the new points would be:

$A" = (1,-1)$

$B" = (3,-3)$

$C" = (4,-2)$

See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

8 0

2 years ago

Somebody help me lol

vladimir2022 [97]

Answer: $1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}$

Step-by-step explanation:

1. A number written in scientific notation has the following form:

$a10^{b}$

Where is $a$ is a number between 1 and 10 but not including 10, and b is an integer.

2. The negative exponent indicates the number of places the decimal point must be moved to the left to obtain the number as a decimal number.

3. Keeping this on mind, you can know that: if the exponent of a number written in scientific notation indicates that the decimal point must be moved 5 places to the left and another number written in scientific notation indicates that the decimal point must be moved 2 places to the left, then the first number is smaller than the second one.

4. Therefore, you can arrange the numbers given in the problem as following:

$1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}$

3 0

3 years ago