Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
Answer:
a) r ⋀~p
b)(r⋀p)⟶q
c) ~r ⟶ ~q
d) (~p ⋀r) ⟶q
Step-by-step explanation:
To solve this question we will make use of logic symbols in truth table.
We are told that;
p means "The user enters
a valid password,”
q means “Access is granted,”
r means “The user has paid the
subscription fee”
A) The user has paid the subscription fee, but does not enter a valid
password.”
Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p
B) Still using logic symbols, we have;
(r⋀p)⟶q
⟶ means q is true when r and p are true.
C) correct symbol is ~r ⟶ ~q
Since both statements are negation of the question. And also, if ~r is true then ~q is also true.
D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q
To earn $345.45 simple interest in 7 years, you have to invest $940.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Simple Interest Rate (R) = 5.25%, Simple Interest (SI) = $345.45, Time (T) = 7 years
Step 2:
Use the above details to find principal using the formula for Simple Interest (SI) = PRT/100
⇒ 345.45 = (P × 5.25 × 7)/100
⇒ 34545 = 36.75 P
⇒ P = $940
Answer:
-36
Step-by-step explanation:
Express it in an equation:
6+(x/9)=2
-6 -6
x/9=-4
-36
320% is equal to 3 whole parts and 20% of a part. If one part is 100, then the mixed number would be 3 20/100. However, the problem says to simplify this, so it would be, 3 1/5!
