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2 years ago

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Mathematics

1 answer:

vivado [14]2 years ago

3 0

The correct answer is The letter b

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a mountaineer climbed 1,000 feet at a rate of x feet per hour, he climbed and additional 5,000 feet at a different rate. this ra

marshall27 [118]

A mountaineer climbed 1000 feet at a rate of x feet/hour

1000 = x ( t 1 ) eq1

5000 = X ( t 2) eq2 ( he climbed additional at different rate )

the rate was 10 feet / hour less than twice the first rate

X = 2x - 10 eq3

take eq1 and eq 2

( total time = t 1 + t 2 = T)

T = 1000/x + 5000/X

but X = 2x-10

T = 1000/x + 5000/( 2x -10)

T = 1000/x + 5000/( 2(x-5))

T = 1000/x + 2500 / (x-5)

3 0

2 years ago

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What is the length of the altitude of the equilateral triangle below?

Mazyrski [523]

ANSWER

The length of the altitude is $3\sqrt{3}$ units

<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is $a$

Method 1: We can use Pythagoras theorem to find $a$

$6^2=a^2+3^2$

$6^2-3^2=a^2$

$36-9=a^2$

$27=a^2$

We take the square root of both sides,

$\sqrt{27}=a$

$\sqrt{9\times3}=a$

$\sqrt{9} \times \sqrt{3}=a$

$3\sqrt{3}=a$

Method 2 Using Trigonometry

$sin(60\degree)=\frac{a}{6}$

$6sin(60\degree)=a$

$a=6\times \frac{\sqrt{3}} {2}$

$a=3\sqrt{3}$

6 0

2 years ago

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Can someone help me please

Lorico [155]

29 3/4 i am pretty sure !

4 0

2 years ago

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A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.

vladimir2022 [97]

Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.

Step-by-step explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

Total number of tiles = 10+5=15

we need to pick 5 tiles randomly,

So, Probability that 3 are consonants and 2 are vowels is given by

$\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{\frac{10\times 9\times 8}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}}{\frac{15\times 14\times 13\times 12\times 11}{5\times 4\times 4\times 3\times 2\times 1}}\\\\=0.3996$

Hence, Probability that 3 are consonants and 2 are vowels is 0.3996.

7 0

2 years ago

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The local parts shop buys a machine that costs $500,000. It's value depreciates exponentially each year by 10%.

Musya8 [376]

<span>After 5 years, it's value will be about $294,300</span>

3 0

2 years ago

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