There are 52 weeks in one year. If cindy drew three pictures each week, for 2 years, how many pictures did cindy draw?

Mice21 [21]

Answer:

Side WZ=9

Step-by-step explanation:

Since he two are similar you need to make a ratio of the two parallelograms

The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.

Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.

You can do this since FE is similar to XW, because it is the same shape just bigger.

Next you take the two fractions adn set them equal to each other.

2 6

_ = _

3 x

Now cross multiply (2 timesx and 6 times 3)

It should look like this now

2x=18

Now all you have to do is divide by 2.

7 0

3 years ago

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Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be

m_a_m_a [10]

Answer:

6.82 $mt^3/min$

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

$V=\frac{\pi R^2h}{3}$

So, the volume of water when it is 1 meter high is

$V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3$

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is $0.3071\;mt^3$

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 $mt^3/min$

This speed equals the difference between the water being pumped and the water leaking,

So,

<em>0.12 = Speed of water being pumped -6.8 </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 $mt^3/min$

8 0

3 years ago

ABC Corp. has outstanding accounts receivable totaling $6.5 million as of December 31 and sales on credit during the year of $24

Elden [556K]

Answer:

$378,000

Step-by-step explanation:

The computation of the bad debt expense for the year is shown below:

Bad debt expense = Outstanding account receivable × estimated percentage given - credit balance of allowance for doubtful account

= $6,500,000 × 0.06 - $12,000

= $390,000 - $12,000

= $378,000

We simply deduct the credit balance from the estimated balance so that the correct amount could arrive

3 0

3 years ago

PLEASE HELP!!!!<br> will mark brainliest!!

Mariulka [41]

Answer: f(x) = x - 1

5 0

3 years ago

Read 2 more answers

IM IN DESPERATE NEED FOR HELP SOMEONE HURRRRYYY

LenaWriter [7]

Answer:

yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.

Step-by-step explanation:

Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.

Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC

Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.

3 0

3 years ago