If given f(x)=x-7 and g(x)= x^2 how would you find g(f(4))?

Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM

Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, $\cos 41 = \frac{JP}{JM} = \frac{JP}{35}$

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0

4 years ago

Before tax & after a 50%

Slav-nsk [51]

Answer: The boots were marked $86.

Step-by-step explanation: We know Mica's total was $100 for the bill. He got the only hat left marked $12, and a pair of boots. Before tax and after a 50% sale, her total is $100. Since she spent $12 for the hat, we know the rest of the money is going towards the boots. The boots will cost $86.

Hat($12) + Boots($86) = 100

8 0

4 years ago

50-(16 divide 2^2)+3

IRINA_888 [86]

Answer: 49

Step-by-step explanation:

50−16/4+3

=50−4+3

=46+3

=49

8 0

3 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$