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3 years ago

Whats the measure of angle E ?

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

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Find the area of the following rectangle (the figure is not drawn to scale)

Sophie [7]

Answer:

<h2>204 units²</h2>

Step-by-step explanation:

It's a rectangle. Therefore the opposite sides are congruent.

We have the equation:

2x + 4 = 12 <em>subtract 4 from both sides</em>

2x = 8 <em>divide both sides by 2</em>

x = 4

Put the value of x to the expression 4x + 1:

4(4) + 1 = 16 + 1 = 17

Therefore we have the rectangle with dimesions 17 × 12.

The area of the rectangle:

A = (17)(12) = 204

8 0

4 years ago

Multiply.

goblinko [34]

Answer:

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Step-by-step explanation:

I tried very hard to answer this question.

you have to multiply 323.34 to get 10,982.

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3 years ago

Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia

lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0

4 years ago

Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=

My name is Ann [436]

Answer:

The volume = $5x^{5}+4x^{4}+x^{3}$

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = $5x^{5}+4x^{4}+x^{3}$

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3 years ago

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wariber [46]

Answer:

Step-by-step explanation:

4 0

3 years ago