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2 years ago

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Mathematics

1 answer:

s2008m [1.1K]2 years ago

7 0

The correct answer is 120 degrees.

With the bigger triangle you can add all of the angles to get 60 degrees. (35+25)

This leaves you with a 120 degrees angle in the unmarked corner of the triangle. Any horizontal line and any triangle is 180 in total.

So with a 120 degree angle in the corner this leaves us with a 60 angle in the smaller triangle. ( The smaller triangle equals 60 degrees in all corners, it is equalateral ).

X is on a horizontal line and we now know that the one side of the line equals 60 degrees and any horizontal line equals 180 in total, this means that the measure of X is 120, (60+120)

X is 120 :)

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Abby wants to use her savings of 1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 an

NISA [10]

Answer:

Maximum number of months Abby can learn yoga is 25 months.

Step-by-step explanation:

We have given,

Total savings of Abby = $1325

Total charges to learn yoga is given as:

A fixed registration fee = $35

And a monthly fee = $50

Since the registration Abby pays only once. So we can calculate the remaining saving amount for Abby.

i.e Remaining saving amount after registration fee = $ (1325 - 35) = $1290

Now, from the remaining amount after paying registration fee , let the Abby learn yoga for x months.

To find maximum number of months we need to satisfy a equation given as:

$x*50 \leq 1290$

or $x\leq \frac{1290}{50} \\x\leq 25.8$

Since we got x ≤ 25.8 months ≈ 25 months (in integer form)

So maximum number of months Abby can learn yoga is 25 months.

3 0

3 years ago

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Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10d + 0.05n = 5.25, where d represents the

maw [93]

The answer is 63. you're right

4 0

3 years ago

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PLEASE ANSWER!!!

marin [14]

Step-by-step explanation:

(10-0) ÷ (27-0) = x ÷ y

10 ÷ 27 = x ÷ y

27x = 10y

2,7x = y

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3 years ago

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The eurasian plate travels the slowest, at about 0.7 cm/y. How long would it take the plate to travel 3 cm?

damaskus [11]

Simply divide 3 by 0.7,

$3 \div 0.7 = \frac{30}{7} = 4 \frac{2}{7}$

Or ≈ 4.28571 which is ≈ 4 years.

5 0

3 years ago

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

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