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3 years ago

A tepee has a base of 19.5 feet and a height of 16.8 feet. The tepee can hold approximately ___ cubic feet of air.

Mathematics

1 answer:

OlgaM077 [116]3 years ago

7 0

Answer:

1671.58

Step-by-step explanation:

V=1/3(3.14)(9.75)squared(16.8)

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D. 12m^3n^5

Step-by-step explanation:

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3 years ago

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Which expression is NOT equivalent to (1/2^3

sladkih [1.3K]

Answer:

Step-by-step explanation:

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3 years ago

In the Ma-and-Pa grocery store, shelf-space is limited and must be used effectively to increase profit. Two-cereal items, Grano

insens350 [35]

Answer:

No. 2/3 of the space to Grano and 1/3 of the space to Wheatie.

Step-by-step explanation:

Allocating about 57% to Wheatie and 43% to Grano, means to allocate 60(.57)=34.2 ft2 of Wheatie and 60(.43)=25.8 ft2 of Grano. In that case there would be 34.2/.4=85.5≈85 boxes of Wheatie and 25.8/.2=129 boxes of Grano. The total profit would be 129(1)+85(1.35)=$243.75

Best option:

200 Granos boxes and 50 Wheaties boxes on the shelf.

200(.2)=40ft^2 will allocate Granos boxes

50(.4)=20ft^2 will allocate Wheaties boxes.

This means that 40/60=2/3=66.6% of the space will allocate Granos boxes and 20/60=1/3=33.3% of the space will allocate Wheaties boxes.

The total profit would be 200(1)+50(1.35)=$267.5

EXTRA:

This is a optimization problem.

Let X1 be the number of Granos boxes

Let X2 be the number of Wheaties boxes

Objective:

Max Z=1(X1)+1.35(X2)

Subjecto to

0.2(X1)+0.4(X2)<=60,

X1<=200,

X2<=120,

X1,X2>=0.

You can solve it using the simplex method. Check the image for more details.

5 0

3 years ago

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

3 years ago

Solve the triangle. Round your answers to the nearest tenth.

butalik [34]

The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)

<h3>How to determine the missing sides and angles</h3>

In this question we have a triangle with a known side lengths and two known angle measures. First, we find the missing angle by Euclidean geometry:

C = 180° - 94° - 23°

C = 63°

Lastly, we determine the missing sides by law of sines:

$b = 11 \times \frac{\sin 94^{\circ}}{\sin 23^{\circ}}$

b ≈ 28.084

$c = 11 \times \frac{\sin 63^{\circ}}{\sin 23^{\circ}}$

c ≈ 25.084

The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)

To learn more on triangles: brainly.com/question/2773823

#SPJ1

8 0

2 years ago