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erastova [34]
2 years ago
8

The area of the triangle is eqaula to the sqare show that x²-3x-2=0​

Mathematics
1 answer:
agasfer [191]2 years ago
8 0

Answer:

Step-by-step explanation:

Area of square = area of triangle

side*side = \dfrac{1}{2}b*h\\\\\\x*x=\dfrac{1}{2}*(x+1)(x+2)\\x^{2}=\dfrac{1}{2}[x*x +x*2+1*x+1*2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+2x+x+2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+3x+2]\\\\\\Multiply \ both \ sides \ by \ 2\\\\2x^{2}=x^{2}+3x+2\\\\2x^{2}-x^{2}-3x-2 = 0

x² - 3x - 2 = 0

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40% of the memberships sold by Gym A were gold memberships.
Aneli [31]

Answer:

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

Step-by-step explanation:

Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.  

Which statement must be true?

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.

c) Gym A sold more gold membership than Gym A did.

d) If Gym B sold 50 membership, 25 would be gold memberships.

Given: Gym A have sold 40% gold membership of total membership.

Gym B have sold 25% gold membership of total membership.

Lets take option A first to find if it is true statement.

As per option A, There are total number of membership is 80.

∵ Gym A has sold 40% gold membership.

∴ Gym A gold membership= 40\% \times 80

⇒ Gym A gold membership= \frac{40}{100} \times 80= 32 member.

∴ Gym A gold membership= 32.

Now, Gym B

∵ Gym B has sold 25% gold membership.

∴ Gym B gold membership= 25\% \times 80

⇒ Gym B gold membership= \frac{25}{100} \times 80=20 member.

∴ Gym B gold membership= 20.

Next finding difference gold membership for Gym A and Gym B

32-20= 12 \ membership

Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.

8 0
3 years ago
A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down th
ss7ja [257]

Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

4 0
3 years ago
Read 2 more answers
One - eighth of 7.92 x 10^10
liraira [26]
The answer is 9900000000 (thats 8 zeros) What you do is you find 10^10 which is 10000000000 (ten zeros) and multiply that by 7.92 to get 79200000000 then you just multiply it by 1/8 to get the answer.
3 0
3 years ago
A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo
san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = \frac{1}{3} × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = \frac{4}{3} × 3.14 × r³ = \frac{4}{3} × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = \frac{ 2,143.5733}{2} = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

4 0
4 years ago
What is the volume of a cone with the given dimensions?
yuradex [85]
B. 102.57 cu. cm is the answer Solution: V=πr^2h The diameter is 14. To find the radius you divide the radius by 2 which is equal to 7. [Radius is 2 times diameter] V= 3.14×7×7×2 V= 102.57
8 0
3 years ago
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