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3 years ago

What is the value of x? Enter your answer in the box. x = ? in

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

The answer is 18, its showing 5 as the base for the small triangle and 15 for the larger triangle, it would be safe to assume the same applies to the other sides as well. add 10 to the rest and multiply them and you get the correct area for a triangle.

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0.1m+8-12n when m=30 and n=1/4

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

m=30 n=1/4

0.1*30+8-12*1/4

3+8-12*1/4

=3+8-3

7 0

3 years ago

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A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f

NNADVOKAT [17]

Answer:

$26 - \sqrt{181}$ cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares, in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

$x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}$

$x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}$

$x = \frac{624 \pm \sqrt{104256}}{24}$

$x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}$

$x = \frac{624 \pm 8*3*\sqrt{181}}{24}$

$x_1 = \frac{624 + 24*\sqrt{181}}{24}$

$x_1 = 26 + \sqrt{181}$

$x_2 = \frac{624 - 24*\sqrt{181}}{24}$

$x_2 = 26 - \sqrt{181}$

But $x_1 > 33$ , then is not the correct answer.

5 0

3 years ago

Damaged items are marked down 25% to 40%. A newspaper coupon holder; to an additional 10% markdown of the new price due to the d

kobusy [5.1K]

Answer:

B. GHC 50.00

Step-by-step explanation:

The given parameters are;

The percentage by which damaged items are marked down = 25% to 40%

The percentage markdown offered by the newspaper coupon = 10%

The original marked price of the item = GHC 100

We note that a markdown is the difference between the price an item is placed at for retail sale, and the actual price the item is sold

Given that the item is damaged, to have the lowest price, we apply the largest markdown of 40% as follows;

Price of item marked down due to damage, we remove 40% from the price to get;

The markdown due to damage = 40/100 × GHC 100 = GHC 40

The markdown the coupon holder is to get = 10% of the retail price

Given that the damage is not mentioned in the newspaper, we have;

∴ The markdown the coupon holder is to get = 10/100 × GHC 100 = GHC 10

The total markdown is therefore equal to GHC 40 + GHC 10 = GHC 50

Therefore;

The lowest price of the item = Original price - Maximum markdown

The lowest price of the item = GHC 100 - GHC 50 = GHC 50

Learn more about markdown here;

brainly.com/question/20705786

5 0

3 years ago

A gymnasium can hold no more than 650 people.A permanent bleacher in the gymnasium holds 136 people. The event organizers are se

ValentinkaMS [17]

Answer:

20 chairs

Step-by-step explanation:

After 136 people are seated in the bleacher, there can be 514 people seated in chairs. We know that 514 = 25×20 +14, so there can be 20 rows of 25 chairs. We require an equal number of chairs in each row, so there cannot be some rows with 21 chairs, nor can there be a 26th row with 14 chairs.

There can be 20 chairs in each row.

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3 years ago

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Add.3/2a+5/2a PLease help!

Wittaler [7]

The answer should be 4a

4 0

3 years ago

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