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3 years ago

Does the fraction 1/2 make the equation 1/34 + 8/17 = 1/2 true?

Mathematics

2 answers:

Anna11 [10]3 years ago

5 0

Answer:

This is true.

Step-by-step explanation:

1/34 + 8/17 = 1/2 = True

kenny6666 [7]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

17 x 2 = 34 and 8x2 = 16

16 + 1 = 17/34 so yes

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A large spherical balloon is being deflated

artcher [175]

The formula for volume of a sphere is V = 4 /3 x π x r3 (cubed).

The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.

Hope this helps! I hate taking usa test prep quizzes too haha.

7 0

3 years ago

A roof is shaped like a square pyramid. The base length is 10 meters and the slant height is 12 meters. What is the surface area

nasty-shy [4]

Surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters

<u>Solution:</u>

Given that

Shape of the roof is square pyramid.

Base length of square pyramid roof = 10 meters

Slant height of square pyramid roof = 12 meters

Need to calculate the surface area of the roof

$\text { Surface area of square pyramid }=s^{2}+2 \times s \times l$

Where s is side of square base and l is slant height.

In our case s = 10 meters and l = 12 meters

On substituting the given values in formula we get

Surface area of square pyramid $=10^{2}+(2 \times 10 \times 12)=100+240=340 \text { meters }^{2}$

Hence surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters.

6 0

3 years ago

Please help ASAP ty!

Butoxors [25]

Answer:

C. 70

Step-by-step explanation:

5(x+9)
5(5+9)
25+45
70

<h2>stay safe healthy and happy..</h2>

4 0

3 years ago

Read 2 more answers

The tangent of the larger acute angle

Tems11 [23]

Answer: The tangent of the larger acute angle is 4/3 or 1⅓

Step-by-step explanation: if the sides of the right angled triangle are given as 3, 4 and 5 respectively, then the hypotenuse is 5 and the longer of the other two sides is 4. The angle facing the side measuring 4 is your reference angle, and that is the larger of the other two acute angles (see attachment)

Tan X = opposite/hypotenuse

Tan X = 4/3

Tan X = 1⅓

4 0

3 years ago

In a survey in 2010, the population of two plant species were found to be growing exponentially. Their growth is given by these

Lunna [17]

If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:

2000e^(0.05t) = 5000e^(0.02t)

(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)

2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))

2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))

ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )

t = ln(2/5) / -0.03 (Divide each side by -0.03)

= 30.54 (to two decimal places)

Therefor, the population of species A will be equal to the population of species B after 30.54 years.

I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.

6 0

3 years ago