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velikii [3]
3 years ago
13

Solve the following inequality using the algebraic approach:

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

b. x less-than StartFraction 10 Over 3 End fraction

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65 degrees is right
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Solid: A square pyramid. The square base has side lengths of 5. The 4 triangular sides have a base of 5 and height of 7. What is
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Answer:

95 square units

Step-by-step explanation:

Surface area of pyramid = 4(side area) + base

Solve for the base first.

Area of base = s*s = 5*5 = 25

Next solve for one of the sides.

Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5

Plug these back into our original equation.

Surface area of pyramid = 4(side area) + base

Surface area of pyramid = 4(17.5) + 25

Surface area of pyramid = 70 + 25 = 95 square units

4 0
3 years ago
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P (D) = .42, P (E) = .27, and P (D ∩ E) = .15 P (D U E)
Paul [167]

We know that P(D\cap E)=P(D)P(E)=\boxed{0.1134}.

And P(D\cup E)=P(D)+P(E)-P(D\cap E)=\boxed{0.5766}.

Hope this helps.

6 0
2 years ago
Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
arlik [135]
Ok so cos(x) = sin(90-x) so using that you can get sin(7x-15) = sin(90-(3x+5)) so 7x-15 = -3x+85. 10x = 100 and x = 10. Use that to find the 2 angles are 55 and 35
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Indicate the equation of the given line in standard form, in the equation box below.
Illusion [34]

Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:

y-4=-\frac{5}{2}(x+3)

Rewriting this in standard form,

2y-8=-5(x+3) \\ \\ 2y-8=-5x-15 \\ \\ \boxed{5x+2y=-7}

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2 years ago
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