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2 years ago

Explain how to use a horizontal number line to order four fractions from least to greatest.

Mathematics

1 answer:

horsena [70]2 years ago

4 0

Answer:

To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.

Step-by-step explanation:

Solution for the above problem: We first find the least common denominator by finding the least common multiple for 4, 3, 2, 6, and 8. We find the LCM by the prime factorization method. Next, place the fractions in order from least to greatest.

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Based only on the given information, it is guaranteed that Ac = bc

qwelly [4]

Answer:

True

Step-by-step explanation:

True because if AC = BC, then the triangles are the same.

8 0

3 years ago

4. Paula drew a map of her neighborhood on a coordinate grid. A grocery store is located at point (5,-4). A park is located at p

Paha777 [63]

Answer:

Midpoint Formula= (x1+x2)/2, (y1+y2)/2

Plug in the numbers

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I hope this helps you!!

6 0

2 years ago

Find the surface area of a cone if the diameter of its base is 13.5 feet, and it has a slant height of 16.8 feet. Round to the n

Tresset [83]

The diameter is given which is 13.5feet and radius is half of diameter. Therefore radius = 6.75 feet.

Slant height = 16.8 feet

The formula of surface area of cone is

$S = \pi *r(r+l) \\ S = \pi*6.75(6.75+16.8) \\ S =\pi*6.75*23.55 = 499.2 ft^2$

Correct option is C

5 0

2 years ago

Hector is flying a kite. He has let out 86 feet

Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is $42.258333^{0}$ ≅ $42.26^{0}$

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = $\frac{opposite}{hypotenus}$

Sin $42.26^{0}$ = $\frac{x}{86}$

⇒ x = 86 x Sin $42.26^{0}$

= 86 x 0.6725

= 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

= 57.84 + 4

= 61.84 feet

7 0

2 years ago

Find dy/dx by implicit differentiation for ycos(x)=xcos(y)

alekssr [168]

Answer:

dy/dx = (cos y + y sin x) / (cos x + x sin y)

Step-by-step explanation:

y cos x = x cos y

y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y

-y sin x + dy/dx cos x = -x sin y dy/dx + cos y

dy/dx (cos x + x sin y) = cos y + y sin x

dy/dx = (cos y + y sin x) / (cos x + x sin y)

5 0

2 years ago