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noname [10]
3 years ago
10

A shape that is both a parallelogram and a trapezoid.

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

A parallelogram is a quadrilateral (four sided shape) with two sets of parallel lines and a trapezoid is a quadrilateral with one pair of parallel lines. Since there are only 2 pairs of lines in a 4 sided shape, and since each pair can be only either parallel or not, a parallelogram cannot be a trapezoid as well.

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312 is the LCM for this set
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If 25% of a number is 12. What is 75% of the number
KIM [24]

Answer:

=900

Step-by-step explanation:

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The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6
Andre45 [30]

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6)  ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

7 0
2 years ago
Internet company Gurgle is carrying out testing on the efficiency of its search engine. A sample of 31 searches have been carrie
Mrac [35]

Answer:

d. Approximate the standard normal distribution with the Student's t distribution

(0.2199 ; 0.2327)

Step-by-step explanation:

Given that :

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Sample mean, xbar = 0.2258

Sample standard deviation, s = 0.0188

Confidence interval (C. I) :

xbar ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Degree of freedom, df = n - 1 = 31 - 1 = 30

Tcritical value :

T0.05/2, 30 = 2.042

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Margin of Error = 0.0068949

C. I = 0.2258 ± 0.0068949

Lower boundary : (0.2258 - 0.006895) = 0.2189

Upper boundary : (0.2258 - 0.006895) = 0.2327

(0.2199 ; 0.2327)

3 0
3 years ago
Which number line shows the correct locations of ALL the given values?
bija089 [108]
A is the only number line that correctly shows the locations of all given values.

Answer=A

***EDIT***

Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.

So, knowing that, lets look at A and see if all of the numbers are correctly placed.

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-4 is a relatively easy value to find, since its line is labeled.

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(-2-3/4=-2 3/4)

1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)

6 0
3 years ago
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