Answer:
36
Step-by-step explanation:
Triangle FED and Triangle AEC are similar.
That means, the ratio of corresponding sides are equal. Thus we can say:
Also, since EC is 39 and D is the midpoint, ED and DC are half of that. Hence ED = 39/2 = 19.5
Now we can use the ratio to solve for AC:
Hence, AC = 36
Step-by-step explanation:
Answer:
\frac{7}{4}
4
7
Explanation:
______________________
We know the values of
i) cos0° = 1
ii) sin45° = \frac{1}{\sqrt{2}}
2
1
iii) sin30° = \frac{1}{2}
2
1
iv) sin90° = 0
v) cos45° = \frac{1}{\sqrt{2}}
2
1
vi ) cos60° = \frac{1}{2}
2
1
_____________________
Now,
The value of
(cos 0+sin 45+sin 30)(sin 90-cos 45+cos 60)
= \left(1+\frac{1}{\sqrt{2}}+\frac{1}{2}\right)\left(1-\frac{1}{\sqrt{2}}+\frac{1}{2}\right)(1+
2
1
+
2
1
)(1−
2
1
+
2
1
)
= \left(\frac{3}{2}+\frac{1}{\sqrt{2}}\right)\left(\frac{3}{2}-\frac{1}{\sqrt{2}}\right)(
2
3
+
2
1
)(
2
3
−
2
1
)
= \left(\frac{3}{2}\right)^{2}-\left(\frac{1}{\sqrt{2}}\right)^{2}(
2
3
)
2
−(
2
1
)
2
/* By algebraic identity
(a-b)(a+b) = a²-b² */
= \left( \frac{9}{4}-\frac{1}{2}\right)(
4
9
−
2
1
)
= \frac{9-2}{4}
4
9−2
= \frac{7}{4}
4
7
••••
(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12
Hope this helps :)
We have the following vectors:
u = <-6, -2>
v = <-2, 3>
Let's multiply each vector by its corresponding scale:
-3u = <18, 6>
2v = <-4, 6>
Now we add the new vectors:
-3u + 2v = <18, 6> + <- 4, 6>
-3u + 2v = <(18-4), (6 + 6)>
-3u + 2v = <14, 12>
Answer:
-3u + 2v = <14, 12>
Based on this construction, the value of m∠ABC is 64°.
<h3>How to find the angle?</h3>
From the point, E and D, two arcs are made which are intersecting each other at point P.
It means, that line BP is the bisector of angle ABC. ABC will be:
= 2 * 32=64
Therefore, based on this construction, the value of m∠ABC is 64°.
Learn more about construction on:
brainly.com/question/25795065
#SPJ1