That is describing a rectangle! The only quadrilaterals with 4 right angles are squares and rectangles. Squares have equal sides but rectangles have one pair of parallel sides that is longer than the other. Hope this helps! If you get more than one answer and see it fit to do so, please mark me Brainliest Answer! Thank you!
Answer:
its gonna be around 29, but im not 100% sure.
Step-by-step explanation:
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
<h3>What is the measure of the missing angle?</h3>
The image attached aside shows us a <em>right</em> triangle with two known <em>side</em> lengths (JL, KJ) and a <em>angle</em> measure (m ∠ K). The measure of the <em>missing</em> angle can be found by using the <em>trigonometric</em> function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same <em>positive</em> sign than cosine as the angle is in the first quadrant on <em>Cartesian</em> plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
To learn more on trigonometric functions: brainly.com/question/6904750
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Answer:
Left 4 units
Step-by-step explanation:
h(x) is a line with slope 2. Let's say it has y-intercept b. So:
h(x) = 2x + b
d(x) is h(x) shifted up 8 units. So:
d(x) = h(x) + 8
d(x) = 2x + b + 8
We want to shift h(x) left or right to get d(x). If we say that shift is a units to the right, then:
h(x−a) = d(x)
2(x−a) + b = 2x + b + 8
2x − 2a + b = 2x + b + 8
-2a = 8
a = -4
a is negative, so the shift is to the left.
h(x) should be shifted to the left 4 units.
Answer: Area = 1500 feet^2
Step-by-step explanation:
Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet
Let length = x
Let width = w
The length of the garden,x is 10 feet more than twice it's width, w. This means
x =10+2w---------1
Perimeter = 2x+2w =170---------2
Putting equation 1 in equation 2,
2(10+2w) +2w= 170
20 + 4w +2w = 170
6w = 170-20=150
w = 150/6
= 25feet
Put w=25 in equation 1
x =10 +2×25= 10+50=60 feet
Area = length × width = x×w
= 60×25=1500feet^2