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qwelly [4]
3 years ago
11

M a t h m e t i c s. . . . . .

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

c & d

Step-by-step explanation:

(a) 18 = 20 ×

(b) 9 = 12 ×

(c) 5 = 5 ✓

(d) 32 = 32 ✓

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I need help on this loll
Serhud [2]

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

3 0
2 years ago
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus p
SashulF [63]

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.

V=w\times h\times l

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,

V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3

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,

n=8160\times2.5\\n=20400\rm\; btus

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;

brainly.com/question/4016105

5 0
2 years ago
A car dealership is having a sale in which customers pay 85% of the retail price for a new vehicle. keith is buying a vehicle wi
mash [69]
First, we calculated the discounted price which would have been paid by Keith. That is the product of 85% and $36,000.
                                      ($36,000) x (85%) = $30,600
Then, after negotiating to pay 9% off the sale price, he will only need to pay 91% of the sale price. The new price would be,
                              ($30600) x (0.91) = $27846
Thus, Keith will only need to pay $27,846. 
4 0
3 years ago
Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!
Rus_ich [418]

Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

6 0
3 years ago
Circle O is shown. Line segments E O and E O are radii with length 24. Angle D O E is 45 degrees. The area within sector D O E i
AfilCa [17]

Answer:

Its 72Pi. (Option C)

Step-by-step explanation:

Took it on Edge and got it right

7 0
3 years ago
Read 2 more answers
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