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lana66690 [7]
3 years ago
10

A cereal box that is shaped like a rectangular prism has a length of 5 centimeters, a width of 4 centimeters, and a height of 10

centimeters. What is the volume?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

200 is the volume of the cereal box

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Help math homework both questions
-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin Ф = \dfrac{\textrm x}{\textrm e}

Or, Sin 45° =  \dfrac{\textrm x meters}{\textrm 1.2 meters}

Or, 0.707 × 1.2 meters = x

∴ x =  0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters .  Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend =  Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = \dfrac{\textrm perpendicular}{\textrm base}

Or, Tan Ф = \dfrac{\textrm H}{\textrm y}

Or, Tan 22° =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, 0.4040 =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, y =  \dfrac{\textrm  10,000 feet}{\textrm 0.4040}

∴   y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0
3 years ago
Multiply.Write each product in simplest form
xz_007 [3.2K]
1. 5/16
2. 1/3
3. 3/20
4. 38
5. 3/4
6. 6
4 0
3 years ago
Read 2 more answers
Jason wants to buy a game that cost $20. He earns $2 every time he washes the
Reika [66]

Answer:

7

Step-by-step explanation:

10 x 2 = 20

10 - 3 = 6

7 0
3 years ago
Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1
emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

<u>Solution:</u>

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 \times amount for 1 load of laundry + 1 \times amount for 1 load of dish = 27

\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 \times amount for 1 load of laundry + 9 \times amount for 1 load of laundry = 31  ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n  = -159  

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

8 0
3 years ago
My question is what is 2/5 x 12.
NeTakaya
It’s 4.8 um yea if u Need help text me
7 0
3 years ago
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