A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.​

Answers

Answer 1
Answer:  580 square cm

===================================================

Work Shown:

A = area of smaller rectangle

A = length*width

A = 35*22

A = 770

B = area of larger rectangle

B = length*width

B = 45*30

B = 1350

C = area of the border only

C = B - A

C = 1350-770

C = 580 square cm

Answer 2

Step-by-step explanation:

Dimension of photograph is 35cm and 22cm.

And external dimension of photo frame is 45cm and 30cm

So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.

So, The area of the border surrounding the photograph=45×30−35×22

=1350−770=580cm

2


Related Questions

can someone help me with this?

Answers

Answer:

The answer should be for because the triangles are SSA. and SSA is not congruent

Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.

Answers

Answer:

1+x=b;b+x=c;c+x=d;d+x=89

Step-by-step explanation:

How do I do this step by step?

Answers

Answer:

1. Rectangle: l(2)+w(2)

2. Triangle: side(2)+base

3. 3, 8

PLEASE HELP ME
What is the simplified form of

the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3

Answers

It is 4/3. the quantity of 4 over 3
X+6/3 - x+2/3= x+6-x-2/3 = 4/3.

Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick

Answers

Answer:

$2 per pound

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2

Cost of apple: $2 per pound

y = (x + 1)(x - 2)
Distribution

Answers

You have to use FOIL (First, Outer, Inner, Last) so it would be y= x^2 -2x + x -2 then combine like terms you get y= x^2 (x squared) -x -2. Hope this helps!!

(Please help asap, Thank you!)
Tides are caused by the pull of gravity by the _____ and the _____.

A. oceans
B. seas
C. sun
D. moon

Answers

Answer:

Tides are formed by the pull of gravity from both the sun and the moon so C&D would be correct

Step-by-step explanation:

Convert to exponential form

Answers

Answer:

i got 27

Step-by-step explanation:

Hey can I have some quick help please?
Is the answer I chose correct?

Answers

Answer:

Yes, I am 99% sure your right.

Water is being pumped into a baby pool at a constant rate. At 1:30 p.m., the water depth was 1.2 feet. It is now 4:00 p.m., and the depth of the water is 2.3 feet. What will the depth (in feet) of the water be at 5:00 p.m.?​

Answers

Answer:

the dept shoudk be 3.4 because it increase by 1.1

which of the following is a solution to

Answers

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[tex]x < - 3 \: \: \: and \: \: \: x > 4[/tex]

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The triangle in each pair are similar. Find the unknown measures.

Answers

Answer:

b=9ft a=32 degrees

Step-by-step explanation:

The triangles in each pair are similar meaning the angles will also be the same.  

18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft

4x2.25=9ft

b=9ft

angle a is directly across from side 4ft which is proportionate to side b.

therefore, angle A is also propertionate to the angle across from side b, 32 degrees.

What common side do DHB and DEB share?

A. DH
B. BD
C. EB
D. HB

Answers

Answer:

The common side is B-E.

Step-by-step explanation:

The only side that they have the same is B-E.

Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__​

Answers

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

need help plzz
20 points

Answers

Answer:

42 cm

Step-by-step explanation:

Area of rectangle (shaded area):

length × breadth

length: 7 cm

breadth: 7 - 2(0.5) = 6 cm

7 × 6 = 42 cm

Answer:

42 cm is the correct answer of this one

m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.​

Answers

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

What is the value of (2x)° + 1​

Answers

Answer:

=2x+1

Step-by-step explanation:

I am pretty sure that is the answer

IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range

f(x) = 2/7x - 2

i am giving brainliest to the first person that answers this and follows all the directions

Answers

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed

Answers

Answer:

45 students passed the test

Step-by-step explanation:

900/100x5/1=45

A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.

Find the volume.

Answers

I think it’s eight... right?

given DE is a mid segment of triangle ABC

find the value of x and y

what is the length of AC​

Answers

Answer:

Step-by-step explanation:

what monomial is equivalent to
(4x^5)^2

Answers

Answer:

16x^10

Step-by-step explanation:

Please Help! I'm on a Timer!

Which method correctly solves the equation using the distributive property?

-0.2(x-4) = 1.7

Answers

Answer:

[tex] -0.2(x - 4) = - 1.7 [/tex]

[tex] -0.2x + 0.8 = - 1.7 [/tex]

[tex] -0.2x = - 2.5 [/tex]

[tex] x = 12.5 [/tex]

Step-by-step explanation:

Solving [tex] -0.2(x - 4) = - 1.7 [/tex] using the distributive property:

[tex] (-0.2)(x) + (-0.2)(-4) = - 1.7 [/tex]

[tex] -0.2x + 0.8 = - 1.7 [/tex]

Subtract 0.8 from both sides

[tex] -0.2x + 0.8 - 0.8 = - 1.7 - 0.8 [/tex]

[tex] -0.2x = - 2.5 [/tex]

Divide both sides by -0.2

[tex] \frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2} [/tex]

[tex] x = 12.5 [/tex]

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

P= (x,y) is an arbitrary point on the circle x^2+y^2=36

1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P

2. What are the domain and range of this function d(x)?

Answers

Let (x,y) be an arbitrary point on the circle.

Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]

Since x2 + y2 = 1, y2 = 1-x2.

So, d = √[x2 - 6x + 9 + 1 - x2]

     d = √(-6x+10)

Domain:  x is the x-coordinate of a point on the circle centered at (0,0) with radius 1.  So, -1≤x≤1.

             But, for d to be defined, we need -6x+10 ≥ 0.  So, x ≤ 5/3  (True for all x in [-1,1]).

             Domain = [-1,1]

Range:    -1 ≤ x ≤ 1   So, 6 ≥ -6x ≥ -6

                                    16 ≥ -6x+10 ≥ 4

                                     4 ≥ √(-6x+10) ≥ 2   That is, 2 ≤ d ≤4

              Range:  [2,4]

Step-by-step explanation:

Find x, AB, BC, AC if △ABC is isosceles with AB = BC.

Answers

Step-by-step explanation:

Since we are not given the required parameters, we can use the following parameters

Given:  

∠ A  =  5 x + 30 °

∠ B  =  2 x

Since △ABC is isosceles with AB = BC, then ∠ A  = ∠ C (the base angles of an isosceles triangle are equal)

Since sum of angle in a triangle are the same, then;

∠ A  + ∠ B + ∠ C = 180°

Substitute the given functions and get x;

5x+30 + 2x + 5x+30 = 180

12x + 60 = 180

12x = 180-60

12x = 120

x = 120/12

x = 10°

∠ A  = 5x+30

∠ A  = 5(10)+30

∠ A  = 80°

Since ∠ A  =∠ C

∠ C = 80°

For ∠ B;

∠ B = 2x

∠ B = 2(10)

∠ B = 20°

Let AB = 1, since AB = BC, BC = 1

To get AC, use the sin rule;

a/sin∠ A  = b/sin∠ B

a/sin80 = 1/sin20

asin20 = sin80

a = sin80/sin20

a = 0.9848/0.3420

a = 2.879

Hence AC ≈ 3

Note that the values of the sides and angles are assumed.

Please help me!!! I don’t get this what do ever....

Answers

solve each of them and check if it equals to 15. if you need help solving then comment

Step-by-step explanation:

15÷3+10

5+10

15

=15,521÷15

=1034.73

=3015÷15-186

=201-186

=15

=20×15^2÷30

=4500÷30

=150

=2×15^2÷5-25

=450÷5-25

=90-25

=65

help me plss ;-; ASAP :( I WILL GIVING BRAINLEIST​

Answers

Step-by-step explanation:

1. E

2. D

3. G

4. H

5. F

6. C

7. B

8. J

9. A

10. I

this is the correct answer

mark me as brainleist

at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students​

Answers

Answer: D.

Step-by-step explanation:

Can it help you.

There are 5 less oranges on the tree today than there was yesterday

Plz help

Answers

that’s all ? is there like no other explanation to make it understood better ?

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

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