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alisha [4.7K]
3 years ago
15

Braxton Starts his hike at sea level. He

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
He hikes 200 feets uphill and 50 feets downhill, the total feet of braxtons hike is 200 feets + 50 feets = 250 feets?
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A container is shaped like a rectangular solid with sides of 3 inches, 3 inches, and 11
iogann1982 [59]
It would be about 4/10 of a gallon
5 0
3 years ago
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet
Iteru [2.4K]

Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

4 0
3 years ago
Anthony is saving money to buy $240 MP3 player. Anthony starts off with $50 in his bank account and add $20 each week. State the
Mazyrski [523]

Answer:

240 = 50 + 20x

5 0
4 years ago
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.
jok3333 [9.3K]

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

8 0
3 years ago
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