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
Anastaziya [24]
3 years ago
11

Greg has enough framing to enclose a rectangular photograph with a perimeter of 160 centimeters. If the width of his photograph

is 16 centimeters less than the length, what is the width, in centimeters, of the photograph
Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

32cm

Step-by-step explanation:

Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16

Now, we know that the perimeter of a rectangle is 2(l + b)

This means 2(w + w + 16) = 160

4w + 32 = 160

4w = 128

w = 128/4 = 32cm

You might be interested in
PLEEEEEEEEEASE HEEEEEEEEELP
morpeh [17]

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

7 0
3 years ago
Will someone check my awnsers on my geometry b exam for me
kogti [31]
Sure but wheres the picture?
3 0
3 years ago
Translate this sentence into an equation.
Norma-Jean [14]

Answer:

and 5 what ?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Helppppppppppppppppppppp plzzzzz
Naddik [55]

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

3 0
3 years ago
Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6).
Sladkaya [172]

Answer:

Step-by-step explanation:

To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.

We need to find it because, if two lines are parallel, then that means they have the same slope.

The best way to do this is solve for y:

3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.

Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b

So our line is:

y=\frac{2}{3}x+\frac{14}{3}

5 0
3 years ago
Other questions:
  • Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12?
    7·2 answers
  • Help me pls? :) ok thx
    9·1 answer
  • Several students made comments about this image. A triangle has angles B, C, D. The exterior angle to angle B is A. Which commen
    13·2 answers
  • Brock is a plumber. He charges a flat rate of $40 to visit a house to inspect it's plumbing. He charges an additional $20 for ev
    15·2 answers
  • A wheelchair ramp that is constructed to rise 1 foot off the ground must extend 12 feet along the ground. How long will the whee
    5·1 answer
  • Can some one please answer this it is due tomorrow and I could use some help thanks!
    14·1 answer
  • If a×b×c=0 and a and b are integers greater than 10 what must equal c
    10·2 answers
  • A circle has a circumference of 50.24 units
    7·1 answer
  • The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions
    14·1 answer
  • NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!