1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slavikrds [6]
3 years ago
9

Which of the following is correct sequence of the matching?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
B is the correct answer
You might be interested in
You want to enlarge a 4 x 5 inch photo to fit into a 1 inch wide frame
skelet666 [1.2K]

The 4•x by 5•x inner dimensions of the 53 inches outer perimeter picture frame, the 1 inch wide frame and the 4 × 5 inch picture to be enlarged, gives;

a. The outer perimeter equation is presented as follows;

18•x + 8 = 53 inches

b. The scale factor required for the enlargement of the picture is 2.5

<h3>Which method can be used to write the equation and find the scale factor?</h3>

The dimensions of the photo = 4 × 5 inch

Width of the frame = 1 inch

Outer perimeter of the frame = 53 inches

The width of the inside of the picture frame = 4•x

The height of the inside of the picture frame = 5•x

a. The equation for the outer perimeter of the picture frame is therefore;

2 × (4•x + 1 + 1) + 2 × (5•x + 1 + 1) = 53

Which gives;

2 × (4•x + 2) + 2 × (5•x + 2) = 53

8•x + 4 + 10•x + 4 = 53

A simplified equation for the outer perimeter of the picture frame is therefore;

  • 18•x + 8 = 53

b. Solving the above equation, we have;

18•x + 8 = 53

18•x = 53 - 8 = 45

18•x = 45

Therefore;

x = 45 ÷ 18 = 2.5

x = 2.5

The width and height of the picture frame are therefore;

Width = 4•x = 4 × 2.5 = 10

Height = 5•x = 5 × 2.5 = 12.5

Which gives;

Width = 10 inches

Height = 12.5 inches

The enlargement factor, sf, is given by the ratio of a side of the picture frame to a side of the picture as follows;

sf = 12.5/5 = 2.5

  • The factor by which to enlarge the picture frame is 2.5

Learn more about linear scale factors here:

brainly.com/question/19381630

#SPJ1

3 0
2 years ago
Please prove it for me​
grigory [225]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = \frac{1}{cotx}

Consider the left side

\frac{cotA-1}{cotA+1} ← divide terms on numerator/denominator by cotA

= \frac{\frac{cotA}{cotA}-\frac{1}{cotA}  }{\frac{cotA}{cotA}+\frac{1}{cotA}  }

= \frac{1-tanA}{1+tanA}

= right side , thus proven

7 0
2 years ago
Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.
Alisiya [41]

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

8 0
2 years ago
Calculate the length of the unknown side of this right angled triangle
azamat

Answer:

12.04

Step-by-step explanation:

Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,

a^2 + b^2 = c^2

We already have a and b which are 8 and 9 so we plug them in.

(8)^2 + (9)^2 = c^2

64 + 81 = c^2

145 = c^2

c = 12.04 rounded to the nearest hundredth.

<em>Thus,</em>

<em>the unknown side is about 12.04.</em>

<em />

<em>Hope this helps :)</em>

8 0
3 years ago
Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.
Alja [10]
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay
    14·1 answer
  • The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t
    15·1 answer
  • Find x A. 46–√ B. 32 C. 43–√ D. 6–√
    9·1 answer
  • What is the solution for the system of equations?<br> y%3Dt-x+3<br> y=<br> 3x-3
    13·1 answer
  • Why 16 not a perfect cube
    8·1 answer
  • MULTIPLE CHOICE
    15·1 answer
  • Find the isosceles triangle area
    9·1 answer
  • Can someone please help
    8·2 answers
  • 2. What is the median number of TVs in Mr.<br> Zimmerman's Class?
    7·2 answers
  • If g(x) = |2x-9|, find g(2)+g(3)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!