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3 years ago

32x8=256 give the estimated answer.

Mathematics

2 answers:

Darina [25.2K]3 years ago

8 0

Answer:

240

Step-by-step explanation:

lys-0071 [83]3 years ago

5 0

300 IS THE ESTIMATED ANSWER.

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The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is

Setler [38]

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ( $A$ ), in square centimeters, is described by following expression:

$A = w\cdot l$ (1)

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ( $\dot A$ ), in square centimeters per second:

$\dot A = \dot w\cdot l + w\cdot \dot l$ (2)

Where:

$\dot w$ - Rate of change of the width of the rectangle, in centimeters per second.

$\dot l$ - Rate of change of the length of the rectangle, in centimeters per second.

If we know that $w = 12\,cm$ , $l = 15\,cm$ , $\dot w = 4\,\frac{cm}{s}$ and $\dot l = 9\,\frac{cm}{s}$ , then the rate of change of the area of the rectangle is:

$\dot A = \dot w\cdot l + w\cdot \dot l$

$\dot A = 168\,\frac{cm^{2}}{s}$

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

6 0

3 years ago

An assembly-line machine turns out washers with the following thicknesses (in millimeters). Find the mean and standard deviati

Tatiana [17]

❀I've attached how to solve your question below❀
(Please excuse my handwriting)

❀Good luck!❀

5 0

3 years ago

The sum of squares of three consecutive numbers is 77 find the numbers

ollegr [7]

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are $x^{2} ,(x+1)^{2} ,(x+2)^{2}$

Sum = 77

∴by the problem ,

$x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\$

{Taking 3 common }

$x^{2} +2x- 24 = 0\\$

{By factorization}

$x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\$

Therfore,

$x= -6,4\\$

<em>X can't be negetive </em>

∴ $x =4\\x+1=5\\x+2=6$

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

3 0

4 years ago

Drag each description to the correct location to complete the flow chart proof. Given: . D is the midpoint of . . Prove: is an i

prisoha [69]

The isosceles triangle is proved below.

<h3>How to illustrate the triangle?</h3>

The complete information wasn't found. The proofing of the triangle will be illustrated. It should be noted that the angles opposite to the equal sides of an isosceles triangle are also equal.

Proof: Consider an isosceles triangle ABC where AC = BC.

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

We first draw a bisector of ∠ACB and name it as CD.

Now in ∆ACD and ∆BCD we have,

AC = BC (Given)

∠ACD = ∠BCD (By construction)

CD = CD (Common to both)

Thus, ∆ACD ≅∆BCD (By SAS congruence criterion)

So, ∠CAB = ∠CBA (By CPCT)

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

8 0

2 years ago

Two numbers have a sum of 15 and one is 2/3 of the other. Find the numbers.

Vinvika [58]

Answer:

x= $\frac{43}{3}$

y= $\frac{2}{3}$

Step-by-step explanation:

let two nos are x and y

given x+y=15

let one no is y= $\frac{2}{3}$

x+ $\frac{2}{3}$ =15

x=15- $\frac{2}{3}$

x= $\frac{43}{3}$

y= $\frac{2}{3}$ answer

8 0

3 years ago