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3 years ago

Could you please work out this and show answers if possible :)

Mathematics

1 answer:

g100num [7]3 years ago

5 0

Answer:‍ here !!

Step-by-step explanation:

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Reciprocal for one as a fraction please help fast

KonstantinChe [14]

Answer:

the reciprocal of one is $\frac{1}{1}$ it doesn't really make a difference it's still 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

Why are the southern slopes of mountains warmer than northern slopes?

lilavasa [31]

In the northern hemisphere a south-facing slope (more open to sunlight and warm winds) will generally be warmer and drier due to higher levels of evaporation and transpiration than a north-facing slope. So South facing slopes are much warmer.

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4 years ago

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Find the angle measures given the figure is a rhombus.

WITCHER [35]

Answer:

1 = 90°, 2 = 66°

Step-by-step explanation:

Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.

5 0

3 years ago

Consider the function f(x)=−34x+2 . What is f(12) ?

Rashid [163]

Hello from MrBillDoesMath!

Answer:

-406

Discussion:

f(x) = -34x + 2 =>

f(12) = -34(12) + 2 =>

f(12) = -408 + 2 = -406

Thank you,

MrB

6 0

3 years ago