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Makovka662 [10]
2 years ago
11

Bonus: Find the measure indicated. *

Mathematics
1 answer:
velikii [3]2 years ago
5 0

Answer:

AC = 16 in.

Step-by-step explanation:

AD = CD = 10 in.

BD = 6 in.

AC = 2(AB) = ?

Apply pythagorean theorem to find AB

AB² = AD² - BD²

Substitute

AB² = 10² - 6²

AB² = 64

AB = √64

AB = 8

Therefore:

AC = 2(AB) = 2(8)

AC = 16 in.

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Put together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's
Anit [1.1K]

Answer:

Let the Dulcina's collection be 'x'

Let the Tremaine collection be 'x-39'

x + x - 39 =129

2x = 129 +39

2x = 168

x = 168/2

x = 84

Dulcina's collection = x = 84

Tremaine's collection = x - 39 = 84 - 39 = 45

7 0
3 years ago
What is the value of ( 0.4) ^3
cestrela7 [59]

Answer:

0.064

Step-by-step explanation:

( 0.4) ^3

Solution :

( 0.4) ^3

= 0.4 x 0.4 x 0.4

= 0.064

8 0
3 years ago
How can sums and differences of cubes be identified for factoring?
Ad libitum [116K]
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

--------------------------------------------------------------------------------------------------------------

The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
                     = (5x - 2y) (25x² + 10xy + 4y²)
7 0
3 years ago
1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake
shtirl [24]

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

\dfrac{1}{4}(\dfrac{1}{3}k+9)=6

Step 1.

Cross multiplying,

(\dfrac{1}{3}k+9)=24

Step 2.

Subtract 9 from both sides

\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15

Step 3.

Cross multiplying

k=15\times 3\\\\k=45

So, there is an error in step 3. The correct answer should be 45.

3 0
3 years ago
the 2nd to 6th digits of the number 'b'. The number 'a': a.=.8381277236048455262835343009097967569917320013149981038679556930339
sattari [20]
Hhhhhhhhhmmmmmmmmmmmm
3 0
3 years ago
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