All categories

3 years ago

Which statement is the Law of Detachment?

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

if p-q is a true statement and p is true ,then q is true

lawyer [7]3 years ago

7 0

Answer: The correct option is

(D) If p→q is a true statement and p is true, then q is true.

Step-by-step explanation: We are given to select the statement that describes the "Law of Detachment".

We know that "Law of detachment" states that

If a conditional statement is true and its hypothesis is also true, then its conclusion is also TRUE.

For the conditional statement is p → q, the hypothesis is p and conclusion is q.

Therefore, the law of detachment says

"If p→q is a true statement and p is true, then q is true."

Thus, (D) is CORRECT.

You might be interested in

PLS HELP!!!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Hunter-Best [27]

I think the answer is 2990.8 c.m
Hope that helps :)

5 0

3 years ago

Find the base of a triangles in

Alexus [3.1K]

The base of triangle is 24 inches whose area is 2.75 sq. feet

<u>Solution:</u>

Given, area of a triangle is 2.75 square feet and its height is 33 inches.

We have to find its base length in inches.

So let us convert area units from feet to inches.

Area = 2.75 square feet = 2.75 $\times$ ft $\times$ ft

= 2.75 $\times$ 12 inches $\times$ 12 inches

[since 1 foot = 12 inches ]

= 2.75 x 144 $\times$ $in^2$

Area = = 396 $in^2$

Area of triangle is given as:

$\text {area}=\frac{1}{2} \times \text { base } \times \text { height }$

$\begin{array}{l}{396= \frac{1}{2} \times \text { base } \times 33} \\\\ {2 \times 396=\text { base } \times 33} \\\\ {792=\text { base } \times 33} \\\\ {\text { Base }=\frac{792}{33}=24}\end{array}$

Hence, the base of the triangle is 24 inches

5 0

3 years ago

Find the 6th term in the sequence 5, 20, 80

kicyunya [14]

Well the sequence is each number is multiplied by 4. 5*4=20. 20*4=80. 80*4=320. 320*4=1280. 1280*4=5120. The sixth term is 5120.

7 0

3 years ago

Read 2 more answers

A model of a tractor-trailer is shaped like a rectangular prism and has width 3 in., length 10 in., and height 4 in. The scal

aleksandr82 [10.1K]

33 plus 4 is 37 and 10plus 1 is 12 so add that and get 49

7 0

4 years ago

Factor (x^2-3x-2) into a binomial... I keep getting (x-1)(x-2) but it's not right

meriva

Are you absolutely positive that those are the signs exactly as in the question? As far as I know, there isn't 2 numbers that add to -3 and multiply to -2, meaning you can't factor it

6 0

3 years ago