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3 years ago

What is the scale factor for the set of similar figures? Type in your answer as a decimal.

Mathematics

1 answer:

BaLLatris [955]3 years ago

7 0

<span>to find the scale factor, the main formula which is used for solving such a problem is as follow: If the initial shape is greater than the final's, so we use SF=SL / LL. SF= scale factor, SL=Smaller length, LL= Larger legth. According to our case, the smaller length is SL=6mm, and the Larger length is LL=15mm, so SF=6mm/15mm=2/0.4mm.The answer is SF=0.4mm</span>

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PLEASES HELP the screenshots are at the bottom

riadik2000 [5.3K]

Answer:

D. The water will be about 50°C. (54.8 (rounded up) is 50.)
C. 23; the amount the temperature increases each minute.

Step-by-step explanation:

x = 6 (6 minutes)

5.3 x 6 + 23 = 54.8

5.3 x 6 = 31.8

31.8 + 23 = 54.48

2. C. 23: the amount of the temperature increased each minute.

Let me know if this helps!

8 0

3 years ago

Plz help ill give u brainlist

serg [7]

Area of the base = 6 (1/2 x 4.3 x 5) = 64.5cm

Area of the top = area of the base = 64.5cm

Area of the 6 side rectangles = 6 x 5 x 11 = 330 cm

Total surface area = 64.5 + 64. 5+ 330 = 459 cm²

------------------------------------------------------------------------
Answer: Total surface area = 459 cm²
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5 0

3 years ago

What is 3000000 as 10 raised to a power.

iogann1982 [59]

Answer:

You would write it as 3 * 10^6

Step-by-step explanation:

To figure this out, look at the decimal place: you got a huge number. 3,000,000. that's the decimal place, right at the far right side. Move the decimal place until you got a number less than 10, so until the number is 3. How ever many times you had to move the decimal place (in this case six times) is the number you put as the power. So the expression is:

3 * 10^6

4 0

3 years ago

Find a solution for the equation y = 4x - 3.

topjm [15]

Answer:

y=1

Step-by-step explanation

the x is like a imaginary 1 so 4*x=4-3=1

7 0

3 years ago

Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}

Deffense [45]

Start with a line segment connecting two points, A and B. $\dfrac{DA}{BA}=3$ means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with $\dfrac{DB}{BA}=2$ , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, $\dfrac{AB}{CB}=\dfrac12$ , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let $d$ be the length of AB. Then the length of CD in terms of $d$ is $4d$ . We have the coordinates of C and D, and the distance between them is $\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2$ . So

$4d=4\sqrt2\implies d=\sqrt2$

The slope of the line through C and D is

$\dfrac{0-4}{4-0}=-1$

and so the equation of the line through these points is

$y-4=-(x-0)\implies x+y=4$

So the coordinates of A are $(x,y)=(x,4-x)$ . The distance between C and A is $d=\sqrt2$ , so we have

$\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1$

Since A falls to the right of C (in the $x,y$ plane, not just in the sketch), we know to take the positive value $x=1$ . Then the $y$ coordinate is $y=4-1=3$ .

All this to say that A is the point (1, 3), so

$2x+y=2+3=5$

5 0

3 years ago