Determine whether it is possible to form a triangle using each set of segments with the given measurements.7.4 centimeters, 8.1 centimeters, 9.8 centimeters
Yes or No.

Answers

Answer 1

Answer: Are we talking about edges or the physical sides of the triangle?

If edges (corners / angles of the triangle), then no, because it doesn’t add up to 180. I don’t think the measurements of the sides matter, tho.

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The sum of two consecutive even integers is 226. What is the larger integer?

Answers

114. This would make 112 the smaller one114+112-------226

114

BECAUSE...
1st integer=n
n+1
n+(n+2)=226
2n+2=226
n=112
larger would be n+2=114

For every $10 glen earns is parents require him to save $2. What percent of his money does he get to spend

Answers

80%

Ummm bro the explanation is simple he keeps 8/10 and he saves 2/10 sooo

8/10 x 10 = 80/100 spends 80%

2/10 x 10 = 20/100 saves 20%

Easy peasy...

Final answer:

Glen saves $2 out of every $10 he earns, which is 20%. Therefore, he spends 80% of his earnings. That's the percentage of the money he gets to spend.

Explanation:

To figure out what percent of his earnings Glen gets to spend, you need to look at the portion that he is not required to save. If he earns $10 and is required to save $2, he gets to spend $7 out of every $10.

This means Glen gets to keep 80% of his earnings. The reasoning here is simple: for every $10, he saves $2 (which is 20% of $10) and the rest, which is $8, he gets to spend. Therefore, the percentage of his money that he gets to spend is $8/$10*100 which equals to 80%.

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T + 3t - 7 = 4t - 7???

Answers

$t+3t-7=4t-7\n\n4t-7=4t-7\ \ \ \ \ |subtract\ 4t\ from\ both\ sides\n\n-7=-7-TRUE\n\ninfinitely\ many\ solutions;\neach\ number\ is\ a\ root\ of\ the\ equation\n\nt\in\mathbb{R}$

$t+ 3t - 7 = 4t - 7\n-7=-7\nx\in\mathbb{R}$

152/26 rounded to three decimal places

Answers

Answer:

6.000

Step-by-step explanation:

156/26=6

to 3d.p = 6.000

How many whole numbers less than 100 are multiples of 3 but not multiples of 5?

Answers

Answer: There are 6 whole numbers less than 100 that are multiples of 3 but not multiples of 5: 15, 30, 45, 60, 75, and 90.

Step-by-step explanation:

To find the number of whole numbers less than 100 that are multiples of 3 but not multiples of 5, we need to determine the range of numbers that satisfy this condition.

First, let's consider the multiples of 3. The multiples of 3 are 3, 6, 9, 12, and so on. We can observe that every third number is a multiple of 3.

Next, let's consider the multiples of 5. The multiples of 5 are 5, 10, 15, 20, and so on. We can observe that every fifth number is a multiple of 5.

To find the numbers that are multiples of 3 but not multiples of 5, we need to find the common multiples of 3 and 5. This means we need to find the numbers that appear in both lists.

Let's compare the two lists:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95

We can see that the numbers 15, 30, 45, 60, 75, and 90 appear in both lists.

The part of the sphere x2 + y2 + z2 = 16 that lies above the cone z = x2 + y2 . (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > x2 + y2?

Answers

The required, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².

To find the part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y², we can use spherical coordinates. In spherical coordinates, the equations for the sphere and the cone are simpler.

Spherical coordinates are represented as (ρ, θ, φ), where ρ is the radial distance, θ is the azimuthal angle (measured from the positive x-axis in the xy-plane), and φ is the polar angle (measured from the positive z-axis).

For the sphere x² + y² + z² = 16, the spherical representation is:

ρ = 4 (since ρ² = x² + y² + z² = 16)

For the cone z = x² + y², the spherical representation is:

ρ = ρ (since ρ^2 = x² + y²)

Now, to find the part of the sphere that lies above the cone (z > x² + y^2), we need to restrict the values of φ.

When z > x² + y², we have z = ρ cos(φ) > ρ².

Since ρ = 4, we get 4 cos(φ) > 4², which simplifies to cos(φ) > 4.

However, the range of φ in spherical coordinates is 0 ≤ φ ≤ π, which means that the values of φ that satisfy cos(φ) > 4 are not within the valid range.

Therefore, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².

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Final answer:

We use the given equations of the sphere and cone and express them in spherical coordinates. The sphere lies on or above the cone when z's value in the sphere equation is greater or equal than z's value in the cone equation. One method is to use spherical coordinates and represent the radius and polar angle in terms of u and v.

Explanation:

The question involves spherical and rectangular coordinates and the relationship between the two. We are given the sphere's equation as x^2 + y^2 + z^2 = 16 and the cone's equation as z = x^2 + y^2. Here's one way to think of the part of the sphere that lies on or above the cone. If we view z=x^2 + y^2 as a function of x and y, the sphere lies above this cone when z's value in the equation of the sphere is greater or equal to the value of z in the cone's equation. To express x, y, and z in terms of u and/or v, you can use a method such as spherical coordinates.

In spherical coordinates, the relationship between spherical and rectangular coordinates can be represented as:

x = r sin θ cos φ
y = r sin θ sin φ
z = r cos θ

Here r, θ, and φ are the radius, polar, and azimuthal angles respectively, which we can let u and v represent. One potential assignment is to let r=u and θ=v, assuming we want only two parameters.