Answer:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
One Way:
We can change the mixed number to a decimal for comparing.

m =

m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.

=

(Luke)
1.4 =

(Darren)
We need a common denominator to compare

(Luke)

(Darren)

(Luke)

(Darren)

Darren > Luke
By:

-

=

Which is also by
0.15 m
Darren jumps higher and by 0.15 m
Answer:
A'B'= 3 cm and B'D' = 1.6 cm
Step-by-step explanation:
First of all, we are told that the scale factor = 1/5
Now,we know that If the scale factor is less than 1, then the dilation is a reduction.
Thus, in this question the dilation is a reduction.
For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor
Thus;
A'B' = AB(1/5)
A'B' = 15(1/5) = 3 cm
B'D' = BD(1/5) = 8(1/5) = 1.6 cm
Thus, The length of each side of the dilated rectangle are;
A'B'= 3 cm and B'D' = 1.6 cm
Answer: Yes. The new average is 3
<u>Step-by-step explanation:</u>
25 students at 3 siblings each = 75 siblings
26 students has 75 siblings + 8 siblings = 83 siblings
New average is 83 siblings ÷ 26 students = 3.19 siblings per students
Answer:
Step-by-step explanation:
AP = 8, 24 , 40....
a = 8 , d =16 , n =98 , An = ?
an= a +(n-1)d
an = 8+97*16
an=8+1552
an=1560
hope it helps you..