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Digiron [165]
3 years ago
8

April wants to use 30% of her land for planting trees. How many acres, to the nearest tenth, does she want to use to

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

28.5 acres

Step-by-step explanation:

95 acres total

30% is being used for trees

95 acres * .3 = 28.5 acres

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A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d
Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.


Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

V=\dfrac{1}{3}b\times h,

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.

Therefore, the volume of the pyramid is

V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.

Thus, the required volume is V=324~\textup{cm}^3. This makes (C) as the correct option.



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3 years ago
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Falling rock on another planet was detected as moving at the following speeds, corresponding to the time suggested in the table
Lady bird [3.3K]

Answer:

B. s = 24t

Step-by-step explanation:

Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my

m = rate of change

✔️Find the rate of change:

Rate of change using two given pairs, (0.5, 12) and (2.5, 60),

Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24

✔️Substitute m = 24 into s = mt

s = 24t

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Shereen drew a scale drawing of a house and its lot. The scale she used was 2 inches : 1 foot. The house's driveway is 64 inches
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