a. x = 8, y = 17
b. x = 6, y = 8
c. x = 8, y = 10
d. x = 8, y = 6
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?
Answer:
a person would weigh 158 pounds on venus
Step-by-step explanation:
weight of a person on venus is directly proportional to their weight on earth
i.e. weight on venus ∝ weight on earth
weight on venus = k * weight on earth
where k is the constant of proportionality
according to the question:
106 = k * 120
k = 106/120 = .88
thus,
person weighing 180 pounds on earth weighs on venus:
weight on venus = .88 * 180
= 158 pounds
Answer:
Correct answer is option D) drawing the 6 of clubs or the 6 of spades
Step-by-step explanation:
Given that:
A standard deck of 52 playing cards with 4 suits.
A be the event of drawing a card with 6 from the deck.
B be the event of drawing a black card from the deck.
So, event A will have 4 possibilities i.e. {6 of club, 6 of spade, 6 of diamond, 6 of heart}
And event B will have 26 possibilities {Any card (including 6) from club or spade}
Intersection of two sets is defined as the common elements in the two sets.
As per the explanation of the sets and elements in the sets given above:
If we take intersection it will be:
{6 of club or 6 of spade}
Hence, Correct answer is option D) drawing the 6 of clubs or the 6 of spades
The intersection of events A and B is represented by drawing the 6 of clubs or the 6 of spades (D) .
The intersection of events A (drawing a 6) and B (drawing a black playing card) refers to the cards that satisfy both criteria. In this case, event A consists of the card 6 from any suit, while event B consists of the black cards (spades and clubs) from any value. To determine the intersection, we need to find the cards that are both a 6 and black.
Looking at the options given, option D) drawing the 6 of clubs or the 6 of spades represents the cards that satisfy both events. The 6 of clubs and the 6 of spades are black cards and also have a value of 6. Therefore, the intersection of events A and B is represented by option D).
#SPJ3
bx-ay=a+b
solve in linear equation in 2 variables
Given that the sides of a triangle are in the ratio of 6:8:10 and their perimeter is equal to 720cm.
To find the area, we would use heron's formula which says area = √[s(s-a)(s-b)(s-c)] ,where a,b,c are the respective sides of the triangle and s = perimeter/2 but before that,we would need to find out the sides , for that , let's say the sides are equal to 6x ,8x & 10 x.
Then,
ATQ,
6x + 8x +10x = 720cm
24x = 720cm
x = 720cm/24
x = 30cm
therefore,
6x = 6*30cm = 180cm
8x = 8*30cm = 240cm
10x = 10*30cm = 300cm
and
s = 720cm/2 = 360cm
Now,
using heron's formula,
area = √[s(s-a)(s-b)(s-c)]
area = √[360cm(360cm-180cm)(360cm-240cm)(360cm-300cm)
area = √[360cm*180cm*120cm*60cm]
area = √(466,560,000cm⁴)
area = 21,600cm² or 216m²