MATHEMATICS HIGH SCHOOL

Substitute the given values into the formula, and solve for the unknown variable.1
A= 2h(B+b); A=44, B = 2, b= 9
h=

Answers

Answer 1
Answer:

Step-by-step explanation:

44 = 2 * h * 11

44 = 22 * h

divide 22 on both sides, and you get the answer

2 = h
Answer 2
Answer:

A = 2h(B + b)

Disregard my first reply.

Here is the math work.

44 = 2h(2 + 9)

44 = 4h + 18h

44 = h(4 + 18)

44/(4 + 18) = h

44/22 = h

Divide top and bottom by 11.

4/2 = h

2 = h

Done!

1

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Alicia is a nurse.In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answers

Final answer:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked.

Explanation:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked. In 2016, Alicia earned £1750 per month, so her annual salary would be £1750 x 12 = £21,000.

In 2017, she received a 2% pay increase, which means her monthly salary would be £1750 + 2% of £1750 = £1750 + (£1750 x 0.02) = £1750 + £35 = £1785.

Since Alicia worked 45 hours per week for 48 weeks in 2017, her total number of hours worked for the year would be 45 hours/week x 48 weeks = 2,160 hours. Now, we can calculate her average pay per hour by dividing her total earnings (£1785 x 12) by the total number of hours worked (2,160): £1785 x 12 / 2,160 = £10 per hour.

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AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.

The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

Answers

Answer:

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse.  As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10.  6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2.  So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2.  6*8=48 and 48/2 = 24 which gives us our answer.

You roll a​ six-sided die. Find the probability of each of the following scenarios.(a) Rolling a
5 or a number greater than 3
​(b) Rolling a number less than
5 or an even number
​(c) Rolling a
6 or an odd number

Answers

(a) The set of numbers is {4, 5, 6}. The probability is therefore 3/6 = 1/2.
(b) The set of numbers is {1, 2, 3, 4, 6}. The probability is therefore 5/6.
(c) The set of numbers is {1, 3, 5, 6}. The probability is therefore 4/6 = 2/3.

The probability of each of the following scenarios :

(a) Rolling a 5 or a number greater than 3  is 1/2

​(b) Rolling a number less than 5 or an even number is  5/6

​(c) Rolling a 6 or an odd number is 2/3

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

If you roll the dice, there will be 6 possible results :

{ 1 , 2 , 3 , 4 , 5 , 6 } → sample space

(a) The favorable outcome from rolling a 5 or a number greater than 3  is :

{ 4 , 5 , 6 } , then the probability will be :

P(A) = (3)/(6)

\large {\boxed {P(A) = (1)/(2)} }

(b) The favorable outcome from rolling a number less than 5 or an even number is :

{ 1 , 2 , 3 , 4 , 6 } , then the probability will be :

\large {\boxed {P(B) = (5)/(6)} }

(c) The favorable outcome from rolling a 6 or an odd number is :

{ 1 , 3 , 5 , 6 } , then the probability will be :

P(C) = (4)/(6)

\large {\boxed {P(C) = (2)/(3)} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die

(Picture Attached)20 Pts:

Which of the following completes the proof? (6 points)


By the midpoint formula

By definition of congruence

Given

By construction

Answers

by the mid point formula  is my best guess

How many different ways are there to arrange the letters A, B, A, and B?

Answers

16 times
hope this helps
you can arrange them 16 time

A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

Answers

The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
Answer:
x²/25  -  y²/11 = 1 

Final answer:

The standard form equation for this hyperbola, when vertices are (+-5,0) and one focus is (6,0), is x²/25 - y²/11 = 1.

Explanation:

In the question, we are given a hyperbola with vertices at (+-5,0) and one focus at (6,0). A hyperbola is defined by its distances from a given point to the two different foci, and its standard form equation along the x-axis can be written as

(x-h)²/a² - (y-k)²/b² = 1

, where (h, k) is the center of the hyperbola, a represents the distance from the center to each vertex, and b represents the distance from the center to each co-vertex. In this case,

h = 0

, since the center of the hyperbola is at the origin. The value of

a = 5

is the distance from the center to each vertex. Finally, the square of the distance c from the center to each focus is defined as

c² = a² + b²

, so we can find

b = sqrt(c² - a²)

. Here, c = 6, so b = sqrt(6² - 5²) = sqrt(11). Thus, the standard form equation of this hyperbola is

x²/25 - y²/11 = 1

.

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