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3 years ago

7

The temperature on a winter night is 8 Fahrenheit. The temperature decreases by 14 Fahrenheit. What is the new temperature, in d

egrees Fahrenheit

1 answer:

-BARSIC- [3]3 years ago

7 0

Answer: -6 (8-14=-6)

Step-by-step explanation:

8-14 = -6

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Could someone help me, please?

k0ka [10]

We can rewrite the expression under the radical as

$\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4$

then taking the fourth root, we get

$\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|$

Why the absolute value? It's for the same reason that

$\sqrt{x^2}=|x|$

since both $(-x)^2$ and $x^2$ return the same number $x^2$ , and $|x|$ captures both possibilities. From here, we have

$\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|$

The absolute values disappear on all but the $b$ term because all of $\dfrac32$ , $a^2$ and $c^4$ are positive, while $b^3$ could potentially be negative. So we end up with

$\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4$

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3 years ago

What is measurement<br>

Hatshy [7]

Answer:

The comparision of an unknown physical quantity with a known standard quantity is measurement

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3 years ago

What is the square root of a number

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3 years ago

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer. CORRECT

scoray [572]

We have been given an image of a circle A, where BC || DE , mBC=58° and mDE=142°. We are asked to find the measure of angle CFE.

Since segment DC is parallel to segment DE, so measure of arc BD will be equal to arc CE.

$\widehat{BD}=\widehat{CE}$

We know that sum of all arcs of a circle is equal to 360 degrees. So we can set an equation as:

$\widehat{BD}+\widehat{CE}+\widehat{BC}+\widehat{DE}=360^{\circ}$

Since $\widehat{BD}=\widehat{CE}$ , so we will get:

$\widehat{CE}+\widehat{CE}+\widehat{BC}+\widehat{DE}=360^{\circ}$

$2\widehat{CE}+\widehat{BC}+\widehat{DE}=360^{\circ}$

$2\widehat{CE}+58^{\circ}+142^{\circ}=360^{\circ}$

$2\widehat{CE}+200^{\circ}=360^{\circ}$

$2\widehat{CE}+200^{\circ}-200^{\circ}=360^{\circ}-200^{\circ}$

$2\widehat{CE}=160^{\circ}$

$\frac{2\widehat{CE}}{2}=\frac{160^{\circ}}{2}$

$\widehat{CE}=80^{\circ}$

Therefore, the measure of arc CE is 80 degrees.

We can see that angle CFE is inscribed angle of arc CE, so measure of angle CFE will be half the measure of arc CE.

$\angle CFE=\frac{80^{\circ}}{2}$

$\angle CFE=40^{\circ}$

Therefore, the measure of angle CFE is 40 degrees.

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3 years ago