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masha68 [24]
4 years ago
9

Please answer this question now

Mathematics
1 answer:
inn [45]4 years ago
6 0

Answer:

t = 17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Opposite T = t =?

Opposite V = v = 14

Opposite U = u = 11

The value of t can be obtained by using cosine rule formula as shown below:

t² = v² + u² – 2vu CosT

t² = 14² + 11² – 2 × 14 × 11 × Cos87°

t² = 196 + 121 – 308 × Cos87°

t² = 317 – 16.119

t² = 300.881

Take the square root of both side

t = √300.881

t = 17.3

Therefore, the value of t is 17.3

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a rectangle has a length that is nine feet less than four times its width. Its area is 90 ft. Algebraically determine the length
sammy [17]
Ok... after much confusion, I've come to the conclusion that you must have written the question wrong and it's actually the perimeter that is 90 feet so that's how I'm going to work it...

Width = w
Length = 4w - 9

P = 2w x 2L
90 = 2w + 2(4w - 9)
90 = 2w + 8w - 18
90 = 10w - 18
108 = 10w
108/10 = w
10 4/5 = w

Width is 10 4/5 ft

Length = 4w - 9
L = 4(10 4/5) - 9
L = 43 1/5 - 9
L = 34 1/5 ft

Length 34 1/5 ft  Width 10 4/5 ft or
Length 34.2 ft and width 10.8 ft

6 0
3 years ago
A downtown business tower has 25 floors. Mr. Adams got on the elevator on floor 12. He rode the
yuradex [85]
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8 0
3 years ago
If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis,and rotated 180°, where would point A' lie?
ValentinkaMS [17]

Point A is (-4,1) .Point A is reflected along y axis  so y will remain same and x coordinate will have opposite sign .The reflected point A' ---(4,1) .The point is now reflected along x axis so its x ordinate will remain same and y will be at an equal distance from x axis The new reflected point is A" (4,-1) .The point is now rotated 180 degrees the x and y coordinate changes sign so the rotated final point is  A"'( -4,1).

6 0
3 years ago
Read 2 more answers
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
eimsori [14]

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

AD^{2}=AC^{2}+CD^{2}

25=9+CD^2

CD^2=25-9=16

CD=\sqrt{16} =4 units

Now

Area of rectangle Δ ACD=\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units

similarly,

\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units

6 0
2 years ago
Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the othe
Amiraneli [1.4K]

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

8 0
3 years ago
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