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Maksim231197 [3]
3 years ago
8

Lucita works at a bookstore and earns $9.50 per hour. She works 3 hours on Friday and 7 hours on Saturday. Which expression does

not represent her wages for those days?
A) 9.5(3+7)
B) 10(9.5)
C) 9.5(3)+9.5(7)
D) 9.5(3)(7)
Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

D

Step-by-step explanation:

If you multiply 3 and 7 you are saying she worked 21 hours when she only worked a total of 10 hours.

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15 is 30% of what number?
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15 is 30% of 50 

Change the percentage to a decimal by dividing it over 100:
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Divide 15 over 0.3:
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Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
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Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

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3 years ago
A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What
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Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

  • Number of faces 4.
  • Number of vertices of a triangular pyramid is 6.
  • The volume  is \frac13 AH. A= area of the pyramid's base and H= height of the pyramid.
  • The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is \frac12 \times base \times height.

The lateral surface area of the triangular pyramid is

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=3(\frac12\times 10\times8.6) cm squared

=129 cm squared

The total surface area of triangular pyramid is

=Area of the base + lateral surface area

=(43+129) cm squared

=172  cm squared

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