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andreyandreev [35.5K]

2 years ago

12

6. 1 68 61 2 m21 = 3 m22= m23 -

1 answer:

Advocard [28]2 years ago

6 0

1 = 51

2= 61

3= 29

Step-by-step explanation:

1) 61+68= 129

180-129= 51

2) 61 is across it so they have the same number

3) 61 +90= 151

180-151= 29

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What is log(4k-5)=log(2k-1)?

Paha777 [63]

Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
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7 0

2 years ago

denis-greek [22]

Answer:

c. 441ft^2

Step-by-step explanation:

Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:

$\sqrt{841}$ = 29

$\sqrt{400}$ = 20

Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2

a^2 + b^2 = c^2

a^2 + 20^2 = 29^2

a^2 + 400 = 841

subtract 4 from both sides

a^2 = 441

square root both sides

$\sqrt{a^2} = \sqrt{441}$

a = 21

Now the side a of the triangle is also a side of the small square therefore

21^2 = 441

8 0

2 years ago

5. Based on the data in the table, how many

Montano1993 [528]

You can expect 76 students in 2018 because from 2014 to 2015 it went up 6, then 8, then 10 so it would increase 12 students from 2017 to 2018

5 0

2 years ago

4. Identify the graph of the solution set of 9 > 3 + 2x.

Ray Of Light [21]

Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

7 0

2 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

2 years ago

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