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3 years ago

Need help!!........................................

Mathematics

1 answer:

Crazy boy [7]3 years ago

6 0

Answer:

C. $\sqrt{48}$

Step-by-step explanation:

Applying the leg rule which is given as:

Hypotenuse/leg = leg/part

Hypotenuse = 8 cm

Leg = z

Part = 6 cm

Plug in the values

$\frac{8}{z} = \frac{z}{6}$

Cross multiply

$z*z = 8*6$

$z^2 = 48$

$\sqrt{z^2} = \sqrt{48}$

$z = \sqrt{48}$

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

Find the surface area of the cylinder. radius of 6. height of 7.

Sauron [17]

Answer:

SA = 156π

Step-by-step explanation:

The formula for surface area of a cylinder is

SA = 2πr² + 2πrh where r is the base radius, and h is the height.

We are given r = 6 and h = 7. Plug in those values and evaluate...

SA = 2π(6²) + 2π(6)(7)

SA = 2π(36) + 2π(42)

SA = 72π + 84π

SA = 156π

3 0

4 years ago

Read 2 more answers

The sum of two numbers a and b is equal to c. The number line below shows the values of a and c. Shat is the value of b?

Volgvan

Answer:

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Step-by-step explanation:

3 0

3 years ago

Solve for c R=5(c/a-0.3)

aalyn [17]

we have

$R=5(c/a-0.3)$

Solve for c--------> that means that clear variable c

Divide by $5$ both sides

$R/5=(c/a-0.3)$

Adds $0.3$ both sides

$(R/5)+0.3=(c/a)$

Multiply by $a$ both sides

$a[(R/5)+0.3]=c$

$c=a[(R/5)+0.3]$

therefore

the answer is

$c=a[(R/5)+0.3]$

6 0

4 years ago

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Imagine an experiment with 20 groups, and within each group, there are 50 participants. How many degrees of freedom are there fo

Yuliya22 [10]

Answer: There are 980 degrees of freedom for the within subjects factor.

Step-by-step explanation:

Since we have given that

Number of groups = 20

Number of participants in each group = 50

So, number of participants in 20 groups is given by

$20\times 50\\\\=1000$

As we know that

Degrees of freedom for the within subjects factor would be

$v=n-k\\\\v=1000-20\\\\v=980$

Hence, there are 980 degrees of freedom for the within subjects factor.

6 0

3 years ago