Pls someone help me or i’ll faint
2 answers:
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
DF² = DE² + EF² , then
(a)
DF² = 16² + 12² = 256 + 144 = 400 ( take square root of both sides )
DF = = 20
(b)
DF² = 7² + 2² = 49 + 4 = 53 ( take square root of both sides )
DF = ≈ 7.28 ( to 2 dec. places )
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The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
<h3>What is of volume of rectangular prism?</h3>Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
Learn more about the volume of a rectangular prism here;
Answer:
- (x − 7)2 + (y − 5)2 = 16
Step-by-step explanation:
The given circle has equation
The equation of a circle with center (h,k) and radius r units is
This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).