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3 years ago

What is the coefficient of the term 13a, in the expression 13a+ 6b, a, plus, 6b?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

The coefficient of the term 13a is 13

The coefficient of 6b in expression is a + 6b is 6

Solution:

Given expression is:

13a + 6b

We have to find the coefficient of 13a

The coefficients are the numbers that multiply the variables or letters

Here in 13a , a is the variable that is multiplied with number 13

Thus the coefficient of the term 13a is 13

Second expression:

a + 6b

Here, in 6b , b is the variable that is multiplied with number 6

so 6 is the coefficient

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If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o

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<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = $\frac{X}{4}$ cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X = ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

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