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3 years ago

Help me please!!! Help will be appreciated

Mathematics

2 answers:

dangina [55]3 years ago

7 0

The volume of the whole prism is 5.625
0.5*0.5*0.5= 0.125 the volume of one cube
so 0.125* 45 (the total amount of cubes) is 5.625

vitfil [10]3 years ago

5 0

The answer is 22.5 because the total area is 45 if you count it, and it says each is 1/2.

1/2 * 45 = 22.5.

Hope this helped☺☺

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Divid 15 into two parts such that the sum of their reciprocal is 3/10

emmasim [6.3K]

Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)

Let's solve 1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5

4 0

3 years ago

Each week carrie works 40 hours she spend 15% of her time at register

VLD [36.1K]

Please, share the goal of the problem. If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?

Subtract 15% from 100%; the result is 85%. Now find 85% of 40 hours:

0.85(40 hours) = 34 hours.

Please note that I invented part of this problem. Next time, share all of the info so that someone can help you solve YOUR particular problem.

3 0

3 years ago

Help!

nikklg [1K]

Answer:

Step-by-step explanation:

19) Amount of oil in = amount of oil in final product

.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)

x = 21.54 L of 2.5 % then 9% = 18.46 L

3 0

2 years ago

Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2

qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

$cos \theta = \frac{h}{L}$

Substituting figures, we have:

$cos(23) = \frac{h}{4}$

Let's make h subject of the formula.

$h = 4cos(23) = 3.68$

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0

4 years ago

The adult weighs 84.09 kg. Calculate the adult’s weight in kilograms to pounds . Show work

pogonyaev

The adult weight in pounds is 185.39 lb

Solution:

Given that adult weighs 84.09 kilogram

To find : Adult’s weight in kilograms to pounds

We have the change the weight of the adult from kilogram to pound

The conversion between kilogram and pound is as follows:-

1 kilogram = 2.204623 lb

To find the adult weight in pound, we need to multiply the adult weight in kilogram by 2.204623

Converting 84.09 kg to pound:

$\begin{array}{l}{84.09 \mathrm{kg}=84.09 \times 1 \mathrm{kg}} \\\\ {84.09 .09 \times 2.204623=185.39 \mathrm{lb}}\end{array}$

Therefore the weight of the person in pound = 185.39 lb

4 0

4 years ago