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Darina [25.2K]
3 years ago
12

Help me solve this algebra 1 question number 10​

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

x=4/7

Step-by-step explanation:

You can write 36^4x-1=6^x+2 to 6^2(4x-1)=6^x+2. Then you can write

2(4x-1)=x+2, 8x-2=x+2, 7x=4, x=4/7

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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
Determine the area of the triangular ABC with AC =5cm and height DB=30mm​
seropon [69]

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

4 0
3 years ago
I really need help with #15
Amiraneli [1.4K]
It is a 25% increase.
3 0
3 years ago
Read 2 more answers
Simplyfy 8x^4y^5 times 10xy^3
Dennis_Churaev [7]

Answer:

80x^5y^8

Step-by-step explanation:

8x^4y^5\times 10xy^3=\\\\(8\times 10) \times (x^4\times x)\times (y^5\times y^3)=\\\\80x^5y^8

Hope this helps!

4 0
3 years ago
Read 2 more answers
Solve the following system of equations. 3x+4y=12
Lesechka [4]

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12  ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

6 0
3 years ago
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