Which of the following illustrates the truth value of the given statements? sugar is sour, and lemons are sweet. f f → f t f → f f t → f t t → t which of the following illustrates the truth value of the given statements? a triangle has four sides, and a rectangle has three sides. t f → f f t → f t t → t f f → f

Sugar is actually sweet and lemons are sour, both those statements are false so the answer is: F F → F

A triangle has 3 sides, a rectangle has 4, both those statements are also false, so the answer would be: F F → F

Step-by-step explanation:

1)

We are given first statement as:

           Sugar is sour, and lemons are sweet.

This is a false statement since both the statements are opposite.

Sugar is sweet while lemons are sour.

Hence, the truth value of the given statements is:

              F  F → F

2)

The statement is given as:

A triangle has four sides, and a rectangle has three sides.

It is again a false statement since a triangle is a polygon with three sides and a rectangle is a polygon with four sides.

Hence, both the statements given in it are false.

Hence, the answer is:

                 F  F → F

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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