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2 years ago

Use the number line to find the measure of AC. A) 2 B)4 C)6 D)8

Mathematics

2 answers:

gizmo_the_mogwai [7]2 years ago

6 0

There is no number line...

lawyer [7]2 years ago

5 0

D because that is the anwser

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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.

5 0

3 years ago

Leo has $4.80 in dimes a d quarters he has 6 more dimes than quarters how many quarters does he have

Kryger [21]

Answer:

Step-by-step explanation:

he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25

0.10d + 0.25q = 4.80

he has 6 more dimes then quarters

d = q + 6

====================

d = q + 6...so we sub q + 6 in for d, back into the other equation

0.10(q + 6) + 0.25q = 4.80

0.10q + 0.60 + 0.25q = 4.80

0.35q = 4.80 - 0.60

0.35q = 4.20

q = 4.20 / 0.35

q = 12 <====== there is 12 quarters

d = q + 6

d = 12 + 6

d = 18 <===== there is 18 dimes

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R

Molodets [167]

Answer:

in what sentence all i see is the letters no image above

8 0

2 years ago

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of sc

mr Goodwill [35]

<span>In a normal distribution 68.27% of the values are within one standard deviation from the mean, 95.5% of the values are within two standard deviations from the mean, and 99.7 % of the values are within three standard deviations of the mean

With that you have the answer to the three questions:

</span>
<span>a. significantly high (or at least 2 standard deviations above the mean).

99.5% of the values are within 2 standard deviations from the mean, half of 100% - 95.5% = 4.5% / 2 = 2.25% are above the mean, so the answer is 2.25%

b. significantly low (or at least 2 standard deviations below the mean).

The other half are below 2 standard deviations, so the answer is 2.25%

c. not significant (or less than 2 standard deviations away from the mean).

As said, 95.5% are within the band of two standard deviations from the mean, so the answer is 95.5%.
</span>

7 0

3 years ago

Read 2 more answers

If I had five rows under the first row with four units in each , what is the area of my shape

wariber [46]

We know that one row contains four units each and there are five rows. To find out the area of the shape, we do:
5 (row) × 4 (units) = 20 units

So the area of the shape is 20 units².

5 0

3 years ago