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2 years ago

Which of the following is equivalent to the expression 2/5 divided by 4 ?

Mathematics

1 answer:

erik [133]2 years ago

5 0

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

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The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b

Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

Lateral Surface Area = 4 X Area of One Triangle

Area of a Triangle = $\frac{1}{2}$ X Base X Height$

Area of one Triangular Face $= \dfrac{1}{2}(8)(6.9)$

Therefore:

Lateral Surface Area $= 4\left(\dfrac{1}{2}(8)(6.9)\right)$

Therefore, Talia is correct.

8 0

3 years ago

When I use 14 cat lovers to pet 350 cats, it takes 15 days. How long would it take to pet 480 cats if I use 18 cat lovers?

nika2105 [10]

I think it would take 16 days

6 0

3 years ago

Every weekend, Morgan buys interesting clothes at her local thrift store and then resells them on an auction website. If she bri

Artyom0805 [142]

150 - s <== ur expression

when s = 27.13
150 - 27.13 = 122.87

when s = 55.14
150 - 55.14 = 94.86

6 0

3 years ago

Read 2 more answers

(Geometry)<br> Could anyone help me with this please and thanks

Ket [755]

Answer:

z = 32/3

Step-by-step explanation:

Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.

3/8 = 4/z

3z = 8(4)

z = 32/3

8 0

3 years ago

Help me please it’s due today

Zolol [24]

Answer:

49 ft

Step-by-step explanation:

h(t) = 56t - 16t²

This is the equation of a parabola.

We must solve the equation to find the time (t) when the ball reaches its maximum height (h).

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -16t² + 56t

Divide both sides by -16 to make the coefficient of t² equal to 1.

(-1/16)h = t² - ⁷/₂t

Square half the coefficient of t

(-7/4)² = 49/16

Add and subtract it on the right-hand side

(-1/16)h = t² - ⁷/₂t + 49/16 - 49/16

Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

The time to reach maximum height is ⁷/₄ s = 1.75 s.

The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

5 0

3 years ago