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victus00 [196]
3 years ago
9

The diagonal of a rectangle is 30 inches and the length of the rectangle is 24 inches.

Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Answer:

area=432

Step-by-step explanation:

use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.

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Find the solution of the differential equation that satisfies the given initial condition. (du)/(dt) = (2t + sec^2 t)/(2u), u(0)
Delicious77 [7]
Ah okay so in differential equations you usually want the top variable isolated. To do this, multiply by dt and 2u and you get
2udu = 2t + { \sec(t) }^{2} dt
Now just integrate both sides. The integral of 2u with respect to u is u². The integral of (2t + sec²(t) with respect to t is t² + ∫sec²(t)dt. The last part is just tan(x) because d/dt(tan(t)) is sec²(t) so just integrating gets us back. Now we have
{u}^{2}   + c =  {t}^{2}  +  \tan(t)  + k
Where c and k are arbitrary constants. Subtracting c from k and you get
{u}^{2}  =  {t}^{2}  +  \tan(t)  + b
Where b is another constant. To find b, just plug in u(0) = -1 where u is -1 and t is 0. This becomes
1 =  \tan(0)  + b
tan(0) is 0 so b = 1. Take the plus or minus square root on both sides and you finally get
u =  \: { {t}^{2} }  +  \tan(t)  + 1
But Brainly didn't let me do but juat remember there is a plus or minus square root on the left.
3 0
3 years ago
The roller coaster below is the shape of a parabola. The quadratic equation that represents the roller
hram777 [196]

Answer:

Use your distribution skills, you wanna get x all by itself.

Step-by-step explanation:

7 0
3 years ago
HELP ASAP!!!!!!!!PLEASE<br><br> Solve for x. Please explain. Thank you
Stella [2.4K]

The values are x=8 and y=10

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = 2x-4 and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = (6y+x)°

Hence, to determine the value of x for the side QR, we have,

Equating the values in GF = QR,we get,

12=2x-4\\16=2x\\8=x

Thus, the value of x is 8.

Substituting x in the angle Q to determine the value of y.

Thus, we have,

∠F = ∠Q

68=6y+x\\68=6y+8\\60=6y\\10=y

Thus, the value of y is 10.

Hence, The values are x=8 and y=10

8 0
3 years ago
The perimeter of a Balcony is 26 ft it is 4 ft wide how long is it?
Dmitrij [34]

Answer:

30ft

Step-by-step explanation:

if you add 26 and 4, you'll get an answer of 40

8 0
3 years ago
A rectangle is drawn so that the width is 5 feet shorter than the length. the area of the rectangle is 36 square feet. find the
velikii [3]
 w x L  = 36 

w =  L- 5 

L x  ( L-5 ) = 36 

L^2 -5L -36 =0 

<span>Use the quadratic formula

L=  - b + radical b^2  - 4 (a)(c)  divided    2.a 

L= 5 + 13  / 2  = 18 /2  =9</span>
5 0
3 years ago
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