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Ratling [72]
3 years ago
8

Two triangles are similar. The dimensions of the first are 7, 8, and 10, while the dimensions of the second one are 3.5, 4, and

5. The scale factor used to get from the first triangle to the second one is ________.             WILL MARK BRAINLIEST
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

The scale factor would be 0.5 or 1/2

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Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621​
REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is <u>1690.</u>

Step-by-step explanation:

Given,

a=-6

T_n=58

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here a_1=-6\ and\ a_2=-5

\therefore d=a_2-a_1=-5-(-6)=-5+6=1

Now we use the formula of A.P.

T_n=a+(n-1)d

On substituting the values, we get;

58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65

So there are 65 terms in between  -6 To 58.

That means we have to find the sum of 65 terms in between  -6 To 58.

Now we use the formula of Sum of n_terms.

S_n=\frac{n}{2}(2a-(n-1)d)

On substituting the values, we get;

S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690

Hence The Sum Of The Integers From -6 To 58 is <u>1690.</u>

5 0
3 years ago
If the principle is $12,000 and the rate of interest is 6% (simple interest), what
Elza [17]

9514 1404 393

Answer:

  $12,720

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

where P is the principal, invested at rate r for t years.

  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

7 0
3 years ago
What is the distance from the point (3,8) to the point (7,-6)?
oksano4ka [1.4K]

Answer: Distance is 14.6

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

(x2-x1) = (7 - 3) = 4

(y2-y1) = (-6 - 8) = -14

add it all together

(4)2 + (-14)2 = 16 + 196 = 212

Square 212

\sqrt{212} =14.5602

round to the nearest tenth

=14.6

PLEASE MARK BRAINLIEST

5 0
3 years ago
Read 2 more answers
Find all values of x (if any) where the tangent line to the graph of the function is horizontal
ratelena [41]

the horizontal tangent line mean y'=0

8 - 2x = 0

x = 4

5 0
3 years ago
Point slope equations
Sholpan [36]

Answer:

The point slope equation is: y - y1 = m (x - x1)

m = slope

Step-by-step explanation:

To use this equation, you need to know:

-<u> </u><u>one point on the line</u>

-<u> the slope of the line</u>

<u>First</u>:

(x1,y1) = a known point on the line

m = the slope

(x,y) = any other point on the line

<u>Now</u>:

we plug the numbers into the equation to get y - y1 = m (x - x1)

<u>Then</u>:

you solve the equation

4 0
4 years ago
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