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2 years ago

A motorist travelled at 60 km/h for the first

Mathematics

1 answer:

malfutka [58]2 years ago

6 0

Answer:

60km/h

Step-by-step explanation:

h=60×30=180÷30

is total average speed for the journey

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Can someone please answer. There is one problem. There's a picture. Thank you!

allochka39001 [22]

$\dfrac{60^o}{360^o}=\dfrac{1}{6}\\\\A_O=\pi\cdot4^2=16\pi\\\\Area\ of\ the\ shaded\ sector:\\\\A=\dfrac{1}{6}\cdot16\pi=\dfrac{8}{3}\pi\approx\dfrac{8}{3}\cdot3.14\approx8.4\\\\Answer:\boxed{8.4}$

8 0

2 years ago

Carrie is finding the set of even numbers within the set of prime numbers. Of the sets described, which is the universal set?

gogolik [260]

Even numbers are considered divisible by 2
Prime numbers are numbers divisible by 1
Considering that in this situation, we only need positive numbers, 2 is the only number. It is even and also prime.

Therefore prime numbers

5 0

2 years ago

The Sydney Morning Herald - February 8, 2004 reported that in 1961, the average number of children born to Australian women (3.5

Alborosie

Answer:

<h2>A. Agree, 4 children is the most typical number of children.</h2>

Step-by-step explanation:

By analysis the problem, we can make our decision by first determining the percent of 3.55 of 4

therefore the percentage can be computed as

=(3.55/4)*100

=0.8875*100

=88.75%

The analysis above it shows that 88.75 percent of the women who give birth to children give birth to 4 children.

This number is very close to a hundred percent hence the statistical claim is "Agree, 4 children is the most typical number of children."

3 0

2 years ago

An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c

4vir4ik [10]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

and 50 cents each

3. x represent the number of light fixtures and y represent her

total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a

Ratling [72]

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

$ax^2+bx+c$

Given information-

The equation given in the problem is,

$x^2+13x-48$

Compare the above equation with the standard form. We get,

$a=1\\b=13\\c=-48$

To find out the factor of above equation using X method, follow the steps.

Step 1) Multiply $a$ and $c$ and place $ac$ at the top of X as shown in the image.

$ac=1\times(-48)\\ac=-48$

Step 2) Place $b$ at the bottom as shown in the image below.

$b=13$

Step 3) Find two numbers that multiply the top number $ac$ and to the bottom number $b$ .

Step 4) Write the polynomial from the X box as,

$x^2+16x-3x-48=x(x+16)-3(x+16)$

$x^2+16x-3x-48=(x+16)(x-3)$

Hence the factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

8 0

2 years ago

Read 2 more answers