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3 years ago

What is the value of x

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

C. 13

In the circle, angle F is an inscribed angle. The arc measure of an inscribed angle is the inscribed angle times 2. So you set up the equation as;

(6x-8)2=10x+10

Distribute

12x-16=10x+10

Add 16 on both sides

12x=10x+26

Subtract 10x from both sides

2x=26

Divide 2 from both sides

X=13

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suppose the solution x = 6 increases to x = 9, and the left side of the equation stays the same. How would the right side need t

PilotLPTM [1.2K]

X = 9 - 3, does this help?

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3 years ago

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muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack

antiseptic1488 [7]

Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So, 1 yard, 2 feet and 4 inches $=[(1*36)+(2*12)+4]inches = 64$ inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u> $=(64*29) inches= 1856$ inches.

Now....

1856 inches

$=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.$

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0

3 years ago

Which of the following completes the rule for this translation, (x, y) → (x − 8, ___)?

almond37 [142]

Answer:

The answer would be c

Step-by-step explanation:

I did it edge yesterday

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2 years ago

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Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

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3 years ago

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

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