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Andru [333]
2 years ago
6

Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the gr

ound.
Mathematics
1 answer:
bonufazy [111]2 years ago
6 0

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet

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A sweater is on sale for 30% off the ticketed price of $84. How much will the sweater cost after the discount?
Marianna [84]
84 x .70 = $58.80

Or if you want to do it the long way you can calculate the actual discount (your savings from this purchase first then subtract it from the original price of $84. It`s just easier to figure out what is left (which is 70% of $84).
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3 years ago
15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

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Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

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2 years ago
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4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

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So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

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