1. what is the area of the figure below? answer: $square cm^{2}$ 2. which inequality is true if p = 3.4? a…

1.

Explanation:

Step1: Recall triangle - area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Identify base and height

Here, $b = 9.3$ cm and $h=6$ cm.

Step3: Calculate the area

$A=\frac{1}{2}\times9.3\times6= 27.9$ $cm^{2}$

Answer:

$27.9$

2.

Explanation:

Step1: Substitute $p = 3.4$ into option A

$3p=3\times3.4 = 10.2$, so $3p<10.2$ is false.

Step2: Substitute $p = 3.4$ into option B

$3.9p=3.9\times3.4=13.26$, so $13.6\leq3.9p$ is false.

Step3: Substitute $p = 3.4$ into option C

$5p=5\times3.4 = 17$, so $5p>71$ is false.

Step4: Substitute $p = 3.4$ into option D

$2.5p=2.5\times3.4 = 8.5$, so $8.5\geq2.5p$ is true.

Answer:

D. $8.5\geq2.5p$

3.

Explanation:

Step1: Recall definitions

Whole numbers are non - negative integers ($0, 1, 2,\cdots$). Integers are whole numbers and their opposites ($\cdots,- 2,-1,0,1,2,\cdots$). Rational numbers are numbers that can be written as $\frac{a}{b}$ where $a$ and $b$ are integers and $b\neq0$.

Step2: Classify the numbers

• $-7.3$ is a rational number (it can be written as $-\frac{73}{10}$), but not an integer or a whole number.
• $-5$ is an integer and a rational number, but not a whole number.
• $1\frac{5}{8}=\frac{13}{8}$ is a rational number, but not an integer or a whole number.
• $\frac{18}{3}=6$ is a whole number, an integer, and a rational number.
• $3.2=\frac{16}{5}$ is a rational number, but not an integer or a whole number.
• $9$ is a whole number, an integer, and a rational number.

Answer:

• Rational: $-7.3,1\frac{5}{8},3.2,\frac{18}{3},9,-5$
• Integer: $-5,\frac{18}{3},9$
• Whole: $\frac{18}{3},9$