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
Westkost [7]
2 years ago
9

The product of the length of 2 unequal poles before cutting 2 cm from each was 285 cm. Their present sum after cutting 2cm from

each is 30cm. What is the length of the shorter pole? The product of the length of 2 unequal poles before cutting 2 cm from each was 285 cm . Their present sum after cutting 2cm from each is 30cm . What is the length of the shorter pole ?​
Mathematics
1 answer:
labwork [276]2 years ago
8 0

Answer:

15 cm

Step-by-step explanation:

The length of the shorter pole can be found by forming and subsequently solving 2 equations.

Start by defining the variables that are going to be used in the working.

Let the original length of the shorter pole be a cm and that of the longer pole be b cm.

'Product' refers to the multiplication operation.

ab= 285 -----(1)

On the other hand, 'sum' refers to the addition operation.

Length of shorter pole after cutting= a -2

Length of longer pole after cutting= b -2

(a -2) +(b-2)= 30

a +b -4= 30

Adding 4 to both sides:

a +b= 30 +4

a +b= 34 -----(2)

From (2):

a= 34 -b -----(3)

Let's solve by substitution:

Substitute (3) into (1):

b(34 -b)= 285

Expand:

34b -b²= 285

b² -34b +285= 0

Factorise:

(b -15)(b -19)= 0

b -15= 0       or       b -19= 0

b= 15            or             b= 19

Substitute into (1):

a(15)= 285       or       a(19)= 285

a= 285 ÷15      or             a= 285 ÷19

a= 19                or             a= 15

Since a <b, a= 15 and b= 19.

Thus, the length of the shorter pole is 15 cm.

You might be interested in
there ar 2.54 centimeters in 1 inch. how many cantimeter are in 1 foot? in 1 yard explain you reasoning
stellarik [79]
2.54 * 12=30.48, so 30.48 in one foot, then multiply that by three for a yard, so for a yard it is 91.44 .
4 0
3 years ago
Find the surface area of the pyramid.<br> 64in^2 <br> 56in^2 <br> 88in^2<br> 118in^2
ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of <em>one triangle is 12 inches</em>.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = s^{2}

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula s^{2})

A = s^{2}

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.

Now we add both areas together:-

48 + 16

= <u>64 inches^2</u> is the surface area, your answer is A.

5 0
2 years ago
INTERPRETING EXPRESSIONS: <br> ln the expression 9x - 9, the variable is ___
podryga [215]
The variable is X .........
3 0
3 years ago
FIRST ANSWER IS BRAINLIEST IF CORRECT!!!A new clothing store had expenses of $60,000 for designing and building the shelves and
Mandarinka [93]
I Believe the answer is C. $ 120,000
4 0
3 years ago
In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?<br>​
ikadub [295]

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being  produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.

They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.

4 0
3 years ago
Other questions:
  • A clown has 63 blue balloons and 45 red balloons. The clown arranges the balloons into groups that have the same ratio of blue b
    12·2 answers
  • 90 c + 62/9 , when c = 37
    9·1 answer
  • Write and simplify the equation you would use to solve the problem below.
    15·2 answers
  • Solve for x. 5 1/4 + x + 6 5/6 + 4 2/3 = 22 1/6 A. 5 5/12 B. 6 1/2 C. 6 7/12 D. 7 1/2
    12·1 answer
  • 1.Use the diagram of the regular hexagon to support an explanation showing why the formula accurately yields the area of the hex
    10·1 answer
  • Select the graph of the solution. Click until the correct graph appears. |x| &gt; 5
    5·1 answer
  • PLESSSS HELP MEEEE ANSWER ALL THANKSSSS!!!!! MUCH LOVEeee!!
    6·1 answer
  • Which statement about these triangles is true? help pls using 40 points
    15·1 answer
  • Where do 2x - y = 4 and 4x + y = 9 intersect?
    5·1 answer
  • a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!