Answer:
Its 20
Step-by-step explanation:
if we re write it it would be. 40-5 4. and 5 x4 is 20 and 40 minus 20 is 20
Answer:
- a° = 70°
- b° = 78°
- c° = 139°
- d° = 17°
- e° = 123°
- f° = 69.5°
Step-by-step explanation:
You need to take advantage of what you have learned about inscribed angles. Each inscribe angle is half the measure of the arc it intercepts. Of course, the sum of all arcs around a circle is 360°.
Putting these facts together, you can quickly conclude that opposite angles of an inscribed quadrilateral are supplementary:
a = 180 -110 = 70
b = 180 -102 = 78
The arc (c+81) is opposite the inscribed angle marked 110, so we have ...
c + 81 = 2(110)
c = 220 -81 = 139
The arc (c+d) is intercepted by the angle marked b, so we have ...
139 +d = 2(78)
d = 156 -139 = 17
The arc (e+81) is intercepted by the inscribed angle marked 102, so ...
e +81 = 2(102)
e = 204 -81 = 123
The inscribed angle f intercepts arc c, so is half its measure.
f = 139/2 = 69.5
Answer: 8
Step-by-step explanation:
From the question, we are informed that Hilary has 48 building blocks in the red bucket which is 6 times as many blocks in the green bucket.
Let the number of building blocks that are in the green bucket be represented by x.
Based on the scenario given in the question, this will be:
6 × x = 48.
6x = 48
x = 48/6.
x = 8
This means that there are 8 green building blocks
Answer:3 · x = 5
Step-by-step explanation:
X stands for the unknown number/variable.
Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.
Expand the tan expression using the angle sum identities for sin and cos :
tan(u + v) = sin(u + v) / cos(u + v)
tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]
Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.
Recall that for all x,
cos²(x) + sin²(x) = 1
and it follows that
cos(u) = - √(1 - sin²(u)) = -12/13
sin(v) = - √(1 - cos²(v)) = -3/5
Then putting everything together, we have
tan(u + v)
= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]
= 56/33
(or, if sin(u) = -12/13, then tan(u + v) = -63/16)