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
Please please please please please help me!!!!!​
Bond [772]

Answer:

c

Step-by-step explanation: just trust me.

6 0
3 years ago
Help me with 22 and 23
cricket20 [7]

22.

pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse

if the hypotenuse is 4 meters long, c = 4.

if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.

if we have c²=a²+b², we can solve for b.

subtract a² both sides to get c²-a²=b², and then square root both sides to get

b = √(c²-a²)

plugging in our info we get

b = √(4²-3²) = √(16 -9) = √7

so the answer is √7 meters for 22


23

two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.

notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.

x = 6 and y = 8

3 0
3 years ago
The temperature went from -16°F to 7°F. What was the change in temperature?
worty [1.4K]

Answer:

To find this out, we first need to see the change, is it a positive change or a negative change? Well in this case, as the temperature is increasing, we find that the change is positive. The next step we need to do, id that, how much was the change by, we can find this out by finding the absolute value of the difference of -16°F and 7°F

The absolute value means, the operations answer has to be positive, if not then it will become positive.

|-16°F -7°F|

=> |-23°F|

=> 23°F

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

4 0
3 years ago
The speed limit near Marjorie's house is 30 miles per hour.
Bess [88]
The answer is 48 km/hr
7 0
3 years ago
Solve for x. 0.6x = 1.2x + 6
hichkok12 [17]

Step-by-step explanation:

0.6x- 1.2x = 6

-0.6x = 6

x = 6/0.6

x = -10

8 0
2 years ago
Other questions:
  • I have no idea what this means...
    8·2 answers
  • DONT ANSWER!! am i right? 20 points!
    5·2 answers
  • Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed
    12·1 answer
  • Plz help me well mark brainliest if correct!!.....
    11·2 answers
  • The zeros of a parabola are 6 and -5. If (-1,3) is a point on the graph, which equation can be solved to find the value of
    14·1 answer
  • In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728?
    5·1 answer
  • If Mrs.Burks spent 3.87 on grapez at kroger and bought 3.05 pounds,how much was each pound​
    7·1 answer
  • 7th grade math please help
    12·2 answers
  • Help me and i’ll mark brainliest
    10·1 answer
  • David requires at least $300 to hold his birthday party. If David can save $63 a month, how many months will he need to save to
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!