Answer:
<u><em>The area of the irregular figure is 140 sq. ft.</em></u>
Step-by-step explanation:
<em>Triangle:
</em>
<em>
</em>
<em>16-12=4
</em>
<em>
</em>
<em>6 x 4 = 24
</em>
<em>
</em>
<em>24 x 0.5 = 12
</em>
<em>
</em>
<em>Triangle = 12
</em>
<em>
</em>
<em>Rectangle:
</em>
<em>
</em>
<em>16 x 8
</em>
<em>
</em>
<em>= 128
</em>
<em>
</em>
<em>Rectangle = 128
</em>
<em>
</em>
<em>Total figure:
</em>
<em>
</em>
<em>128+12
</em>
<em>
</em>
<em>= 140
</em>
<u><em>Plzz give me brainlist!!!</em></u><u>
</u>
Answer:
X = 0
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>
Here, FR and DA are corresponding sides.
Cancel the common factors of 4 and 6, we get
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
