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mafiozo [28]
2 years ago
12

Alberto spent half of his weekly

Mathematics
1 answer:
maw [93]2 years ago
6 0

Answer:

$8

Step-by-step explanation:

We can write an equation with the scenario given and solve for what we need, Alberto's weekly allowance.

Let his weekly allowance be "x"

Since he spend HALF of it, he spent 0.5x of it.

He has remaining also 0.5x of it

Now, whatever he has (0.5x), he gets $4 more from cleaning windows. After that he has:

0.5x + 4

This amount is equal to $8, so we can write:

0.5x + 4 = 8

0.5x = 8 - 4

0.5x = 4

x = 8

So, alberto's weekly allowance is $8

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Based on the information marked in the diagram, ABC and DEF must be congruent. A. True B. False
solniwko [45]

Answer:

where the diagram

Step-by-step explanation:

but i guess is true

6 0
2 years ago
Describe the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block as shown.
masha68 [24]

Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)

Step-by-step explanation:

For this exercise it is important to remember the definition of a "Cross section".

In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.

In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.

Observe in the picture attached in the exercise that the  cylinder-shaped cheese block is cut through perpendicular to its base.

By definition, when this perpendicular cut happens, the shape obtained is  a Quadrilateral which has four  equal  angles that measure 90 degrees and whosepposite sides are parallel have equal length.

Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.

3 0
3 years ago
Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot
guapka [62]

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in  5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in  5/2/(5/2)  hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

6 0
3 years ago
One grain of this sand approximately weighs 6 x 10^-6g.
emmasim [6.3K]

Answer:

  • 1.2×10¹² grains

Step-by-step explanation:

1 grain = 6×10⁻⁶ g

  • 7200 kg =
  • 7200000 g =
  • 7.2×10⁶ g =
  • 7.2×10⁶ ÷ 6×10⁻⁶ =
  • (7.2÷6)×10⁶⁻ ⁽⁻⁶⁾ =
  • 1.2×10¹² grains
4 0
2 years ago
Find the measure of the indicated arcs or central angles in OA. DG is a diameter.
lara31 [8.8K]

Answer:

Arc DE = 90°

m<GAB = 82°

Arc DC = 49°

Step-by-step explanation:

Given:

m<EAF = 74°

m<EAD = right angle = 90°

Arc BG = 82°

Required:

Arc DE,

<GAB, and

Arc DC

Solution:

Recall that the central angle measure = the intercepted arc measure.

Therefore:

✔️Arc DE = m<EAD

Arc DE = 90° (Substitution)

✔️m<GAB = arc BG

m<GAB = 82° (Substitution)

✔️Arc DC = m<CAD

Find m<CAD

m<CAD = ½(180 - m<GAB)

m<CAD = ½(180 - 82)

m<CAD = 49°

Arc DC = m<CAD

Arc DC = 49°

6 0
2 years ago
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