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balu736 [363]
2 years ago
15

During gym class, Lenny, Lonnie, and Lainey measure the length of their long jumps. Lenny’s jump is ⅔ times the length of Lainey

’s, and Lonnie’s jump is 1⅓ times the length of Lainey’s. Whose jump is the longest? Why? pls help!!
Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer: Lonnie’s Jump

Step-by-step explanation:

         (They just <em>had</em> to give three names that all started with L.)

         Since Lenny's jump is ⅔ times the length of Lainey’s, we can tell that Lenny's jump won't be the longest because it is already smaller than Lainey's.

         Since Lenny is now out of the picture, let us look at Lonnie and Lainey. Lonnie’s jump is 1 ⅓ times the length of Lainey’s. Since Lonnie's jump is longer than Laniey's, Lonnie's jump is the longest jump.

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3 years ago
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area​
kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area​ .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3

The curved surface area of the cylinder is given by :

A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0
3 years ago
1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the n
e-lub [12.9K]
<h3>Given</h3>

1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.

2) Regular pentagon PENTA with side lengths 9 m

<h3>Find</h3>

The area of each figure, rounded to the nearest integer

<h3>Solution</h3>

1) The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

The area of BEAR is about 77 cm².

2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

The area of PENTA is about 139 m².

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