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4 years ago

Solve the question below. A. 3 B. 7.5 C. 4.5 D. 6

Mathematics

1 answer:

Otrada [13]4 years ago

4 0

Answer:

Step-by-step explanation:

Triangle ABO is a right triangle, and so we can use the Pythagorean Theorem to find the radius, r:

r² + 6² = 7.5², or r² = 56.25 - 36 = 20.25

Taking the square root of both sides yields r = √20.25 = 4.5.

If the radius is 4.5, then subtracting this from 7.5 yields 3, the distance between point A and the rim of the circle.

The desired distance is 3 (Answer A).

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What is the monomial if a square of a monomial is: 0.0001*a^8*x^4

Georgia [21]

Answer:

Monomial $0.0001\cdot a^8\cdot x^4$ is a square of monomial $0.01\cdot a^4\cdot x^2$

Step-by-step explanation:

Given monomial $0.0001\cdot a^8\cdot x^4$

Using property $(a^m)^n=a^{m\cdot n},$ note that

$0.0001=(0.01)^2\\ \\a^8=(a^4)^2\\ \\x^4=(x^2)^2$

So,

$0.0001\cdot a^8\cdot x^4=(0.01)^2\cdot (a^4)^2\cdot (x^2)^2.$

Now use property $(a\cdot b)^n=a^n\cdot b^n$ to rewrite the previous expression:

$(0.01)^2\cdot (a^4)^2\cdot (x^2)^2=(0.01\cdot a^4\cdot x^2)^2$

Hence, monomial $0.0001\cdot a^8\cdot x^4$ is a square of monomial $0.01\cdot a^4\cdot x^2$

7 0

3 years ago

Robert ate a carton of yogurt that contained 260 calories, a sandwich

Nastasia [14]

Answer:

780 calories

Step-by-step explanation:

Robert ate a carton of yogurt = 260 calories

he ate a sandwich = 425 calories

And he also ate an orange = 95 calories

Altogether he consumed = 260 + 425 + 95

= 780 calories.

pls mark me brainliest that would be a really great help. Thanks...

7 0

2 years ago

Find the zeroes of the function f(x).<br> f(x)=(x–3)(x+4)

Ymorist [56]

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

5 0

3 years ago

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

Nataly_w [17]

5 is the answer ok I'll explain

4 0

3 years ago

In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?

Masteriza [31]

Answer:

6 Chickens

Step-by-step explanation:

Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C + 4 H = 32 (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C + H = 11 (Eq. 2)

From Eq. 2, solve for the number of chickens:

C + H = 11

C = 11 - H (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C + 4 H = 32

2 ( 11 − H ) + 4 H = 32

22 − 2 H + 4 H = 32

2H = 32 − 22

2 H = 10

H = 5 Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 = 32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

8 0

3 years ago