What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

Answer:

HLO Mate here is ur answer

Answer:

by how i was taught its 2

Step-by-step explanation:

Answer:

The equation is 6(x + 10) = 60, and the answer to the equation is 0

Step-by-step explanation:

Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].

Answer:

14

Step-by-step explanation:

3+3+4+4 = 14

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

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The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

Learn more about quadratic equations here:https://brainly.com/question/4038687

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Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

learn more on right triangle here: https://brainly.com/question/25892318

Step-by-step explanation:

# easy learning

good luck and god Blees you

Answer:

3 * 5 * 7

when i say * i mean the multiplication sign.

Step-by-step explanation:

Just ask. <3

(✿◡‿◡) HAPPY HOLIDAYS!!!

 :D

Answer:

The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.

Step-by-step explanation:

Answer:

y=−38x−14y is equal to negative 3 eighths x minus 1 fourth is the answer.

Answer:

c

Step-by-step explanation:

Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b

Answer:

See image.

Step-by-step explanation:

"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)

On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.

35 - 45 / 9 x 5

Divide 45 by 9 to get 5.

35 - 5 x 5

Multiply 5 and 5 to get 25.

35 - 25

Subtract 25 from 35 to get 10.

= 10

Answer: Bruce's speed is 3.75 mph(miles per hour).

The total cost of the trip Lisa wants to take over the weekend is $500.

Given the following data:

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]

Total cost, T = $500.

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Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

Answer:

idioet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/5 (2x - 10) + 4x = -3(1/5x + 4)

a bit ambiguous, I'll ASSUME you mean

1/5 (2x - 10) + 4x = -3(x/5 + 4)

     2x/5 - 2 + 4x = -3x/5 - 12

                      5x = -10

                      x = -2

My answer being one of your options makes me think my assumption was correct.

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

Answer:

The answer is 70% if you round it.

Step-by-step explanation:

45 out of 68 is 66 but if you're rounding it the answer is 70%.

Simplify both sides of the equation

Subtract 2 from both sides

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{242}{5} [/tex]

[tex] \: x = \dfrac{242}{5} [/tex]

OR

[tex] \: x = 48.4 [/tex]

The solution to the given problem is:

To find the value of x, one would have to spread out the terms.

5x+2 = 244

Then we would make x the subject formula

5x= 244-2

5x=242

Divide both sides by 5 (value of x)

x= 242/5

Therefore, the value of x is  48. 4

Read more about algebra here:

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The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

Read more about circle equations at:

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Answer:

36 meeters

Step-by-step explanation:

trust me bro

Answer:

the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}

Step-by-step explanation:

5m[tex]\leq[/tex]10

divide by 5 on both sides and you are left with

m[tex]\leq[/tex]2

only 2 and 0 are less than or equal to 2

Hope this helps!

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Solve for x, divide both sides by 3yz:

Correct choice is C

Answer:

scalene triangle

Step-by-step explanation: