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mojhsa [17]
3 years ago
6

A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
The is Answer 204 inches
marshall27 [118]3 years ago
3 0
Yes the answer is 204 inches
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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
Which graphs have rotational symmetry? Check all of the boxes that apply.
ivanzaharov [21]

Answer:

The correct option are;

On a coordinate plane, a cubic function has an x-intercept of (0, 0)

On a coordinate plane, an oval is in quadrant 1

Step-by-step explanation:

Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape

For a cubic function that has x-intercept = (0, 0) we have;

y = f(x) = a·x³ + b·x² + c·x

Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°

The shape of an oval looks the same when rotated through 180°

8 0
3 years ago
Read 2 more answers
Given that <br> x<br> = 7.7 m and <br> θ<br> = 52°, work out AC rounded to 3 SF.
Helen [10]

Answer:

The answer is 12.5cm

Step-by-step explanation:

cos 52= 7.7/AC

AC= 7.7/ cos 52

AC= 12.5

8 0
2 years ago
If x and y are positive real numbers, which expression is equivalent to the expression below?
Vikki [24]

The answer is A.) 21x/^3y

Here is proof

7 0
3 years ago
CAN SOMEONE PLeASE HELP
GrogVix [38]

Answer:

I don´t remember how to do this sorry

Step-by-step explanation:

7 0
3 years ago
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