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2 years ago

Find the volume......

Mathematics

2 answers:

77julia77 [94]2 years ago

8 0

Answer:

$v=1437.34 ~cm^3$

Step-by-step explanation:

$Volum ~of ~ pyramid= base ~area*h/3$

$L=14, B=14, H=22$

$\frac{14*14*22}{3}$

$=\frac{196*22}{3}$

$=\frac{4312}{3}$

$=1437.34$

hope it helps...

have a great day!!

shepuryov [24]2 years ago

7 0

Answer:

4312cm³

Step-by-step explanation:

volume of a prism = length×width×height

=22×14×14

=4312cm³

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Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

Ugo [173]

Answer:

$Side\ B = 6.0$

$\alpha = 56.3$

$\theta = 93.7$

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

$A = 10cm$

$C = 12cm$

$\beta = 30$

What the question is to calculate the third length (Side B) and the other 2 angles ( $\alpha\ and\ \theta$ )

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

$B^2 = A^2 + C^2 - 2ABCos\beta$

Substitute: $A = 10$ , $C =12$ ; $\beta = 30$

$B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30$

$B^2 = 100 + 144 - 240*0.86602540378$

$B^2 = 100 + 144 - 207.846096907$

$B^2 = 36.153903093$

Take Square root of both sides

$\sqrt{B^2} = \sqrt{36.153903093}$

$B = \sqrt{36.153903093}$

$B = 6.0128115797$

$B = 6.0$ <em>(Approximated)</em>

Calculating Angle $\alpha$

$A^2 = B^2 + C^2 - 2BCCos\alpha$

Substitute: $A = 10$ , $C =12$ ; $B = 6$

$10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 180 - 144 *Cos\alpha$

Subtract 180 from both sides

$100 - 180 = 180 - 180 - 144 *Cos\alpha$

$-80 = - 144 *Cos\alpha$

Divide both sides by -144

$\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}$

$\frac{-80}{-144} = Cos\alpha$

$0.5555556 = Cos\alpha$

Take arccos of both sides

$Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)$

$Cos^{-1}(0.5555556) = \alpha$

$56.25098078 = \alpha$

$\alpha = 56.3$ <em>(Approximated)</em>

Calculating $\theta$

Sum of angles in a triangle = 180

Hence;

$\alpha + \beta + \theta = 180$

$30 + 56.3 + \theta = 180$

$86.3 + \theta = 180$

Make $\theta$ the subject of formula

$\theta = 180 - 86.3$

$\theta = 93.7$

5 0

2 years ago

The function f(x)=x^2 is graphed on the coordinate grid.

Aleksandr [31]

<h3>Answer:</h3>

graphed below.

<h3>Explanation:</h3>

vertex: (0, 0)

other points:

-2 12

-1 3

0 0

1 3

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7 0

1 year ago

Read 2 more answers

The width of a rectangle is 2 less than its length. If the perimeter of the rectangle is no more than30 centimeters, find the ra

arlik [135]

If this is what u are asking for 240 is what i got for the answer

4 0

2 years ago

What’s the Answer please

san4es73 [151]

Answer:

Step-by-step explanation:

The pattern is to add 4 each time. So 17+4 is 21, 21+4 is 25, and 25+4 is 29

5 0

2 years ago

How do we solve this problem?

MaRussiya [10]

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You do this with both the other squares
3*3=9
4*4=16
The area of the large square is given as 25
So 9+16=25 which means this is not the correct answer

H.
9*9=81
Given as 144
The area of the large square is 21*21 which is 441
144+81= 225
So because the two small squares DO NOT equal the area of the large square this is the correct answer.

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2 years ago