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3 years ago

The answer is b, you could have just said that...

Mathematics

1 answer:

vesna_86 [32]3 years ago

8 0

um what is this.

im confused.

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In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad

weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3$

Now, in triangle acb, we have

$tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3= \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15$

Thus, ad is 15 cm.

4 0

3 years ago

5x-2=3x+4 what does x equal

kozerog [31]

Answer:

Step-by-step explanation:

1. 5x-2=3x+4

+2 +2

2. 5x=3x+6

-3x -3x

3. 2x=6

/2 /2

x=3

5 0

3 years ago

Read 2 more answers

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

aleksandrvk [35]

Answer:

The value of x is 3/2.

Step-by-step explanation:

Given data in the question:-

$3^2^x=27$

We have to find the value x.

Let $3^2^x=27$ be eq(i).

Solving eq (i)

$3^2^x=3^3$

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

$2x=3\\x=3/2$

Hence the answer is 3/2.

4 0

3 years ago

In some country's congress, the number of representatives is 25 less than five times the number of senators. there are a total

Nataliya [291]

Let number of senators = x, then:-

number of representatives = 5x - 25 so

x + 5x - 25 = 515
6x = 540
x = 90
number of reps = 515 - 90 = 425

so there are 90 senators and 425 representatives.

5 0

2 years ago

3-2|x+4|+3=1 the answer for this

blagie [28]

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

7 0

2 years ago