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Arada [10]
3 years ago
9

A rock climber is planning to climb a mountain cliff over two days. The climb begins at an altitude of 6,400 feet above sea leve

l. The rock climber figures
he can climb at an average pace of 360 feet per hour. He wants to climb to an altitude higher than 8,020 feet above sea level by the end of the first day of
climbing.
Which inequality and solution describe how many hours the climber must climb on the first day to reach his goal?
A
360h + 6,400 < 8,020, with a solution of h < 4
2
B
360h + 6,400 < 8,020, with a solution of h < 7
71
C
360h + 6,400 > 8,020, with a solution of h > 75
18
D
360h + 6,400 > 8,020, with a solution of h > 4.
2

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

D

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

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Projectile Is shot upward from the surface of Earth with an initial velocity of 136 meters per second. Use the position
Anna007 [38]

Answer:

v(3\,s) = 106.6\,\frac{ft}{s}, v(15\,s) = -11\,\frac{ft}{s}

Step-by-step explanation:

The velocity function of the projectile is obtained by deriving the position function:

v(t) = -9.8\cdot t + 136

Now, the velocities after 3 and 15 seconds are, respectively:

v(3\,s) = -9.8\cdot (3) + 136

v(3\,s) = 106.6\,\frac{ft}{s}

v(15\,s) = -9.8\cdot (15) + 136

v(15\,s) = -11\,\frac{ft}{s}

6 0
3 years ago
The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that
matrenka [14]

Answer:

  x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

  (42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

  (5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

  A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.

4 0
3 years ago
How can I write Five less than the quotient of a number and 3 is -7 in algabreaic expression
vladimir1956 [14]

Answer:

(n\div{3})-5={-7}

7 0
3 years ago
Thirty elves would like to build a skating ring so they can all use it at the same time. Santa tells them, they need at least 40
Delicious77 [7]

Answer:

The Possible dimension of the ring could be;

20 ft × 60 ft

25 ft × 48 ft

30 ft × 40 ft

60 ft × 20 ft

48 ft × 25 ft

40 ft × 30 ft

Step-by-step explanation:

Given:

Number of skaters = 30

Area for each skater = 40 sq ft

We need to find the dimension of rectangular ring the are going to build.

Now we know that they building the skating ring such that they all can use at same time.

Hence if the all use at same time then we will find the total area first.

Total area can be calculated by multiplying Number of skaters with area required for each skaters.

Framing the equation we get;

Total area = 30\times 40 = 1200 \ ft^2

Hence The total area of the rectangular ring would be 1200 sq. ft.

Now we know that Total area is equal to product of length and width.

length\times width =1200ft^2

1200 can be written as = 20 × 60, 25 × 48, 30 × 40,60 × 20,48 × 25,40 × 30

Hence the Possible dimension of the ring could be;

20 ft × 60 ft

25 ft × 48 ft

30 ft × 40 ft

60 ft × 20 ft

48 ft × 25 ft

40 ft × 30 ft

3 0
3 years ago
Please I need some answers
Zarrin [17]

Answer:

Because each of the two numbers is a factor of the product, and since the

product has at least those two factors, it's a composite number by definition.

Step-by-step explanation:

can i have brainliest please and thxs

3 0
3 years ago
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