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3 years ago

13

There are 23 textbooks on the shelf in ms. McDonald's class. Each cover is 13 inches long and 5 inches wide ? What is the combin

ed area of all the textbooks?

1 answer:

MariettaO [177]3 years ago

5 0

Wait for area, wouldn't you just times 13 and 5 and get 65 and then times 23?

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The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

Dmitry [639]

The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.

3 0

3 years ago

Solve the equation 0.5p -3.45= -1.2.

ddd [48]

Answer:

4.5

Step-by-step explanation:

0.5p-3.45=-1.2

add 3.45 to -1.2 which would leave the equation to look like

0.5p=2.25

then divide 0.5 to both sides cancelling 0.5 leaving the answer to be

p=4.5

6 0

3 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

4 0

3 years ago

A 56 yard loss in football game

o-na [289]

56 yard loss is -56yds

4 0

3 years ago

Jason buys three shirts with a listed price of $20 each. Jason uses a coupon that provides "Buy Two, Get One Free". What is the

Temka [501]

Given:

Jason buys three shirts with a listed price of $20 each.

He uses a coupon that provides "Buy Two, Get One Free".

To find:

The total final price Jason pays.

Solution:

Total number of shirts he buys = 3

Since he uses a coupon that provides "Buy Two, Get One Free", therefore he need to pay for 2 shirts and 1 he will get free.

Cost of 1 shirt = $20

Cost of 2 shirts = 2 × $20

= $40

Therefore, total final price Jason pays is $40.

3 0

3 years ago