Question 5: A mother explains to her child that the price on the sign is not

36. GEOMETRY Write an algebraic expression to

Stels [109]

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = $\frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}$

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

$\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}$

$= \frac{144 + 72}{2}$

$= \frac{216}{2} = 108 in^2$

6 0

3 years ago

Find the amount after 2 years for 25000 at 10% pa compounded annually and halfyearly

Molodets [167]

Answer:

8358.7

Step-by-step explanation:

I think. I need someone to verify

3 0

2 years ago

4 people can dig a hole in 3 hours. How long does it take 9 people.

ad-work [718]

Answer: 1 hour 20 minutes

<u>Step-by-step explanation:</u>

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

$\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}$

6 0

3 years ago

Read 2 more answers

A certain organization recommends the use of passwords with the following format: vowel commavowel, consonant comma consonant c

zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

$5\times21\times21\times21\times5\times21\times10\times10$

= 486202500

Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.

This means all the letters are different.

So, number of passwords will be =

$10\times42\times42\times42\times10\times42\times10\times10$

= 31116960000

4 0

3 years ago

Find the sum of the first 42 terms of the following series, to the nearest

balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2, n=42, d=5

The 42nd term is therefore given by

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

5 0

2 years ago