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Leona [35]
2 years ago
15

A rectangle with an area of 5/8 ft^2 dilated by a factor of 8.

Mathematics
1 answer:
Lilit [14]2 years ago
3 0

Answer:

40

Step-by-step explanation:

dilated by a factor 8 => the area of a rectangle would be (8x8) times of the origin,

5/8 × (8x8) = 5/8 × 64 = 40 ft²

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Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3. 
Vedmedyk [2.9K]
y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)

This   is  an  equation  of  a  parabola  that  opens  upwards.

Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6

focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9


6 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE!!!! I WILL MARK AS BRAINLIEST!!!
Aleksandr-060686 [28]

Answer: put dot on A B And C the put them together. And that the answer for 2

Step-by-step explanation:

7 0
3 years ago
Find the length of the diameter of a sphere with a surface area of 50.27 ft^2.
Liula [17]
Sphere Surface Area     =    <span> 4 • <span>π <span>• r²

50.27 = 4 * PI * r^2
</span></span></span>
<span>50.27 / (4 * PI) = r^2

</span> <span> <span> <span> 4.0003594946 </span> </span> </span> = r^2

r = sq root (<span> <span> <span> 4.0003594946)

radius = </span></span></span> <span> <span> <span> 2.0000898716 </span> </span> </span>

So the diameter = <span> <span> <span> 4.0001797433 </span> </span> </span>

or it is roughly 4 feet


6 0
3 years ago
PLATO USERS!
Maurinko [17]

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

4 0
3 years ago
Read 2 more answers
Whats the awnser to this question
horsena [70]
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x

Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º

∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º

Answer:  m∠yxz= 62º.
8 0
3 years ago
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