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erik [133]
3 years ago
8

Please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

B

Step-by-step explanation:

B

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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
3 years ago
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The sprinkler in Rob's sprinkler system waters a circular area. The sprinkler is in an open part of Rob's lawn and waters up to
adell [148]
What is the area the sprinkler can water?

Area = π r²

r = 18 feet

r² = r * r = 324

A = 3.14 * 324

A = 1017.36

A = 1017 square feet

6 0
3 years ago
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Simplify 15.6 divided by negative 3..
MaRussiya [10]
The Great common factor is 3.

So divide both numerator and denominator by 3 and you have -5.2.
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4 years ago
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Graph the system of equations on a graph paper.
inysia [295]

Answer:

Step-by-step explanation:

8x + 6y = 48.....reduces to 4x + 3y = 24

2x - 3y = -6

4x + 3y = 24

-------------------add

6x = 18

x = 18/6

x = 3

2x - 3y = -6

2(3) - 3y = -6

6 - 3y = -6

-3y = -6 - 6

-3y = -12

y = -12/-3

y = 4

solution is : (3,4)

the ordered pair (3,4) lies in quadrant I

the x coordinate of the solution is 3

the y coordinate of the solution is 4

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Gnoma [55]

Answer:

A

Step-by-step explanation:

edge

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