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Maru [420]
3 years ago
5

If the area of a rhombus is 100 square inches and one of the diagonals is 25 inches long, what is the length of the other diagon

al? ( with explanation )
Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer: 8 inches

Step-by-step explanation:

Area = pq/2: pq r both diagonals

If p = 25 in.,

q = 2 (A/p)

q = 2 (100/25) = 8 inches

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Which sequences of transformations will map circle<br><br> M onto circle N?
sergiy2304 [10]

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

M = (5,5)

N = (5,-5)

And the radius of circles are:

r_M=2

r_N=3

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

(x,y) \to (x,-y)

M(5,5) \to M'(5,-5)

<em>At this point, M' and N now have the same center but different radius.</em>

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

k =\frac{r_N}{r_M}

k =\frac{3}{2}

<em>At this point, M has been completely mapped to N.</em>

4 0
3 years ago
Please help due today
otez555 [7]
The answer is c
12.4 feet by 9.5 feet
4 0
3 years ago
Really need an answer to this please help.
Alex

Answer:

a

Step-by-step explanation:

\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}

7 0
3 years ago
One kind of bacteria in a laboratory culture triples every 30 minutes. Suppose the culture is started with 20 bacteria cells. Ho
IgorC [24]

Answer:

2 hours = 4 * 30 minutes

30 * 3 = 90

90 * 3 = 270

270 * 3 = 810

810 * 3 = 2430

So after 2 hours you will have 2430 bacteria cells.

Step-by-step explanation:

3 0
3 years ago
Which expression is equivalent to (7x – 5) – (3x - 2)
Nastasia [14]

Answer:

D

Step-by-step explanation:

We have the expression

(7x-5)-(3x-2)

First we need to distribute the negative throughout the parenthesis. Then we can combine like terms in order to simplify this expression

(7x-5)-(3x-2)\\\\7x-5-3x+2\\\\4x-3

This answer matches D.

3 0
3 years ago
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