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3 years ago

41 divided by 98 equals

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

The answer is 1/18 for the equation

ValentinkaMS [17]3 years ago

8 0

Answer:

1/18

Step-by-step explanation:

4 * 1 ÷ 9 * 8

4 ÷ 72

4/72

Simplify

2/36 = 1/18

1/18

Hope this helps :)

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leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a

Georgia [21]

The answer is $x = \frac{-7+ \sqrt{193} }{4}$ .

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is $A = \frac{a*h}{2}$ , where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula $A = \frac{a*h}{2}$ :
$36 = \frac{(2x+3)(3x+6)}{2}$
⇒ $36*2=6 x^{2} +12x+9x+18$
$72=6 x^{2} +21x+18$

Let's both sides divide by 3:
$24=2 x^{2} +7x+6$
⇒ $2 x^{2} +7x-18=0$

This is the quadratic formula ( $a x^{2} +bx+c=0$ ) for which
$x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ or
 $x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}$ .
We will use only $x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ , because the length cannot have negative value.

From the equation $2 x^{2} +7x-18=0$ , we know that
a = 2
b = 7
c = -18

Thus, $x = \frac{-7+ \sqrt{193} }{4}$ :
 $x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}$

4 0

3 years ago

In the figure, point k is the image of point j under a reflection across line L. Find y

Viktor [21]

Since, point K is the image of point J under a reflection across line L.

The distance, JM = MK

Hence, 2x + 4 = 4x - 6
4x - 2x = 4 + 6
2x = 10
x = 5

Also refrection of a point across a line form an angle of 90 degrees at the point of refrection.
i.e. 3y - 30 = 90
3y = 90 + 30 = 120
y = 120 / 3 = 40

Therefore, the value of y is 40.

4 0

3 years ago

Andy wants to buy twenty candy bars for a party.

8090 [49]

Answer:

1. $15.80

2. $12

3. $11.06

Step-by-step explanation:

1. Buying 20 single candy bars at regular price

The regular price of one is 79 cents.

(# of bars) X (price per bar) = regular price

20 X 79 cents = 1580 cents

1580 cents = $15.80

2. Buying 20 bars in packs of 5

Each pack is $3

(# of packs) X (price per pack) = pack price

(20/5) X ($3) = pack price

4 X $3 = $12

3. Buying 20 bars at special price

For every 2 bought, 1 is free.

(Number of bars paid for) X (price per bar) = special price

(2(20/3)) X (0.79) = special price

14 X 0.79 = $11.06

Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.

Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.

4 0

3 years ago

If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =

crimeas [40]

This is -3x4 - 2x3 + 3x2 + 3x4 - 4x3 + x2 = -6x3 + 4x2

Its B

5 0

3 years ago

Which statement is true?

Ipatiy [6.2K]

Given:

Circle with center P.

To find:

Which statement is true.

Solution:

In the circle P,

PT is a radius of the circle P.
VU is a diameter of the circle P.
SR is a secant of the circle P.
NQ is a tangent line and Q is a point of tangeny of circle P.

Option A:

N is a point of tangency on circle P.

It is is not true because Q is a point of tangency of circle P.

Option B:

PT is a secant of circle P.

It is not true because PT is a radius of the circle P.

Option C:

SR is a secant of circle P.

It is true by the above bulleted points.

Option D:

VU is a tangent of circle P.

It is not true because VU is a diameter of the circle P.

Therefore SR is a secant of circle P is a true statement.

5 0

4 years ago

Read 2 more answers

4*1 divided by 9*8 equals

41 divided by 98 equals