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soldi70 [24.7K]
3 years ago
7

Do the numbers in the table below represent a proportional relationship?

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

Yes

Step-by-step explanation

For one book it is $2.25.  So take $2.25 and multiply that by 4, and you get $9.  That shows a proportional relationship.

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Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.
vekshin1

Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

⇒ BC = 6.93 cm

⇒ Cos 60 = BD/AD

⇒ AD = BD/ Cos 60 = 4/Cos 60

⇒ AD = 8 cm

From Pythagoras theorem;

⇒ AC^{2} = AB^{2} + BC^{2} = (6.93)^{2} + (6.93)^{2}

⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

⇒ DC = 10.93 cm

8 0
3 years ago
What is the answer to 8x^3+125 by factoring the perfect cube?
expeople1 [14]

Answer:

\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}

Step-by-step explanation:

8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)

3 0
3 years ago
in the figures below the cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches h
IRINA_888 [86]
<span>The cube’s sides measures 6 inches and the measurement for the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches high. To compute for the volume of a cube you must use the formula of V = a3 and for the rectangular prism is V = l x w x h.</span>
<span>Cube:    V = 6^3
</span>              <span>V = 216 inches^3</span>
<span>Rectangular Prism:       V = 10 x 4 x 4</span> <span>             
                                       V = 160 inches^3</span>
To identify how much greater the volume the cube from the rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of cube and R for the volume of Rectangular Box <span>
N = 216 inches^3 – 160 inches^3
</span> <span>N = 56 inches^3</span> <span>
So the cube is 56 inches3 greater than the rectangular box.</span>


4 0
3 years ago
Read 2 more answers
How many times greater is the value of the 5 in 503 than the value of the 5 in 53?
disa [49]

Answer:

10 times greater

Step-by-step explanation:

Because value of 5 in 503 is 5*100

Then the value of 5 in 53 is 5*10

So then value of 5 in 503 is 10 times greater than the value of 5 in 53

I hope this helps

7 0
3 years ago
Read 2 more answers
Find the slope of the line
Serhud [2]

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

7 0
3 years ago
Read 2 more answers
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