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spin [16.1K]
3 years ago
14

The sides of an isosceles triangle are 8, 8, and 3. The measure of the vertex angle to the nearest degree is _____°. 44 17 31 22

Mathematics
2 answers:
asambeis [7]3 years ago
6 0

Answer:

22 :)

Step-by-step explanation:

Doss [256]3 years ago
4 0
We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5

We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°

This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
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Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...
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7 0
3 years ago
8x+16=14x<br><br><br>checking my awnser
Firdavs [7]

8x + 16 = 14x

To solve this equation, move everything containing the variable you want to solve for on one side of the equation and everything else to the other side of the equation.

Let's start by subtracting 8x from both sides to have the variable x all on the right side of the equation. Once you subtract 8x from both sides, your equation will now look like this:

16 = 6x

To solve for the variable x, you want to divide both sides of the equation by 6 to isolate x and therefore find your answer. Divide both sides by 6 and your equation should look like this:

16/6 = x

Simplifying 16/6 into a mixed number ⇒ 2 2/3

Your answer is x = 16/6 or 2 2/3.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E3_t%7B%7Cx%2B2%7C%7D%20%5C%2C%20dx%20" id="TexFormula1" title=" \int\limi
photoshop1234 [79]
\displaystyle\int_{-3}^3|x+2|\,\mathrm dx

Recall the definition of absolute value:

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

So we can split up the integration interval at x=-2 and apply this definition to rewrite the integral as

\displaystyle\int_{-3}^{-2}(-(x+2))\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=\displaystyle-\int_{-3}^{-2}(x+2)\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=-\left(\dfrac12x^2+2x\right)\bigg|_{x=-3}^{x=-2}+\left(\dfrac12x^2+2x\right)\bigg|_{x=-2}^{x=3}
=\dfrac12+\dfrac{25}2=13
7 0
3 years ago
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