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Wewaii [24]
2 years ago
15

Prove that the value of the expression:

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0

Answer:

Step-by-step explanation:

5^{2} - 1 = 25 - 1 = 24

24 is divisible by 3.

So, (125² +25²)*(5²- 1)   is also divisible by 3

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What is the length of segment TQ.
Jobisdone [24]

Answer:

C )  14 units

Step-by-step explanation:

I am assuming this is the problem's image? If not, please let me know and I will do a different one. I hope this helps!

We know QV = 15 and TQ = TS, QV = SV;

4 x - 1 = 15

4 x = 15 + 1

4 x = 16

x = 16 : 4 = 4

so,

TQ = 3 * 4 + 2 = 12 + 2 = 14

Answer:

C )  14 units

3 0
2 years ago
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement i
trapecia [35]

Answer: 2514.28\ cm^3

Step-by-step explanation:

Given

The height of the cylinder is h=8\ cm

Circumference of the base is 20\pi \ cm

suppose 'r' is the radius of the cylinder

\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm

The volume of a cylinder is V=\pi r^2h

\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3

3 0
2 years ago
(Y to the eighth power)(y to the second power) simpified
Lemur [1.5K]

Answer:

y^10

multiplication of exponents is like addition, you just add exponents

7 0
3 years ago
the janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 22 fl oz per hour. how f
steposvetlana [31]

Answer:

4.1 gal/day

Step-by-step explanation:

1gal = 128oz

1day = 24hr

22oz      24hrs      1 gal

-------- x ----------x ------------ = 4.125 gal/day

1 hr         1 day      128 oz

4.1 gal/day for Sig Figs

3 0
3 years ago
Cs.
kykrilka [37]

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm

3 0
3 years ago
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