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3 years ago

7

To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou

ld you use?

1 answer:

Kamila [148]3 years ago

6 0

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

ddd [48]

Answer:

Mean = 15.15

Standard deviation = 0.6062

Step-by-step explanation:

We are given a uniform distribution of quantity to be put in each bag.

Low and high filling weights:

14.1 pounds and 16.2 pounds

a = 14.1

b = 16.2

a) Mean:

$\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{14.1+16.2}{2} = 15.15$

b) Standard Deviation:

$\sigma = \sqrt{\displaystyle\frac{(b-a)^2}{12}}\\\\= \sqrt{\dfrac{(16.2-14.1)^2}{12}} = \sqrt{0.3675} = 0.6062$

4 0

3 years ago

Determine if the triangles, CEG and DEF ,are similar. If so, identify the similarity

Harlamova29_29 [7]

Answer:

A

Step-by-step explanation:

AA similarity means 2 angles must be similar.

Angle 1: Angle E is the same for both triangles

Angle 2: Angle F and angle G are congruent because they both have right angle markings so they are both 90 degrees.

8 0

3 years ago

Solve for x. Triangles below are similar. <br><br> a) 13<br> b) 10<br> c) 4<br> d) 3

Reptile [31]

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4

8 0

3 years ago

What angles go with the angle pairs? Just a simple checklist please :).

Anni [7]

Answer:

Here is the answer

Step-by-step explanation:

∠1 and ∠6 are adjacent because they share the same vertex and the same common side.

∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.

∠3 and ∠6 have none of the above.

∠5 and ∠3 are a linear pair because the angles are opposite of each other.

8 0

3 years ago