[IMAGE] i need help with 1-4 pls help ASAP

Mathematics

1 answer:

Firdavs [7]3 years ago

5 0

Answer:

Step-by-step explanation:

2000≤20x +475

x = 76.25 so 76 people may attend

graph a number line from 0 to 76 . include the end points

1) no more 76 may attend

2)less than 77 may attend

3) between 0 and 76 may attend

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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant

Serjik [45]

We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>

8 0

3 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$