Mathematics College

How many triangles can you make with the following sides: 1,3,10
PLS HELP ME ASAP I NEED HELP-
20 PTS.

Answers

Answer 1
edge we have
n
. First count the triangles that point up. This is easy to do if you count them by top vertex. Each vertex in the picture is the top of one triangle for every horizontal grid line below it. Thus, the topmost vertex, which has
n
horizontal gridlines below it, is the top vertex of
n
triangles; each of the two vertices in the next row down is the top vertex of −1
n
−
1
triangles; and so on. This gives us a total of

∑=1(+1−)=12(+1)2−∑=12=12(+1)2−16(+1)(2+1)=16(+1)(3(+1)−(2+1))=16(+1)(+2)=(+23)
∑
k
=
1
n
k(n+1−k) =
1
2
n(n+1
)
2
−
∑
k
=
1
n
k
2
=
1
2
n(n+1
)
2
−
1
6
n(n+1)(2n+1) =
1
6
n(n+1)
(
3(n+1)−(2n+1)
)
=
1
6
n(n+1)(n+2) =
(
n
+
2
3
)


upward-pointing triangles.

The downward-pointing triangles can be counted by their by their bottom vertices, but it’s a bit messier. First, each vertex not on the left or right edge of the figure is the bottom vertex of a triangle of height 1
1
, and there are
∑=1−1=(2)
∑
k
=
1
n
−
1
=
(
n
2
)
of them. Each vertex that is not on the left or right edge or on the slant grid lines adjacent to those edges is the bottom vertex of a triangle of height 2
2
, and there are

∑=1−3=(−22)
∑
k
=
1
n
−
3
k
=
(
n
−
2
2
)
of them. In general each vertex that is not on the left or right edge or on one of the ℎ−1
h
−
1
slant grid lines nearest each of those edges is the bottom vertex of a triangle of height ℎ
h
, and there are

∑=1+1−2ℎ=(

Related Questions

the quotion of a number and 5 is eqaul to -7. what is the number?
a.-2
b.-12
c.35
d.-35

Answers

Answer:

D. - 35

Step-by-step explanation:

- 35 ÷ 5 = -7

This is the only equation in which you get the correct answer.

Hope that helped you and have a great day!

The answer is D-35 all you do is multiply

given the equation what would it look lile on a table. ​

Answers

Answer:

I apologise for how scruffy it looks, i didnt have a book or pen with me so this is the best i can do.

A painter uses 1 1/2 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of
paint does it take to paint the entire wall?

Answers

I found this for your question! Hope it helps!

Piet Mondrian, a Dutch artist, painted images of rectangles and squares. The image shown is an example of art similar to Mondrian's art. L. What is the ratio of orange rectangles to green rectangles?​

Answers

I love anime

Step-by-step explanation:u

Harry is a manager at a shoe factory. He is in charge of the manufacturing department. The president of the company asks Harry the following question. "How many athletic shoes are produced each month?" Why is the above question a statistical question? A. It anticipates variability in the data. B. All of the answers will be consistent. C. There is one answer to the question. D. The data collected will be cumulative.

Answers

Answer:

B. It anticipates variability in the data

Step-by-step explanation:

Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. The correct option is A.

What are statistics?

Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. It is customary, to begin with, for a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The given question that is asked by the President of the company is a statistical question because of the reason that the data anticipates variability. Hence, The correct option is A.

Learn more about Statistics:

https://brainly.com/question/8058700

#SPJ2

please help I appreciate it also have a good day!​

Answers

17 to the power of 1
17 to the power of 1 its soo easy

The function g is defined by the following rule.
g(x)=(1/5)^x
Find g(x) for each x-value in the table.

Answers

Answer:

[tex]g(-2) = 25[/tex]

[tex]g(-1) = 5[/tex]

[tex]g(0) = 1[/tex]

[tex]g(1) = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{5}^x[/tex]

Solving (a): When x = -2

This gives:

[tex]g(x) = \frac{1}{5}^{(-2)[/tex]

[tex]g(x) = \frac{1}{5}^{-2[/tex]

[tex]g(x) = 5^2[/tex]

[tex]g(-2) = 25[/tex]

Solving (b) When x = -1

This gives:

[tex]g(x) = \frac{1}{5}^{-1}[/tex]

[tex]g(-1) = 5[/tex]

When x = 0

This gives:

[tex]g(x) = \frac{1}{5}^0[/tex]

[tex]g(0) = 1[/tex]

When x = 1

This gives:

[tex]g(x) = \frac{1}{5}^1[/tex]

[tex]g(1) = \frac{1}{5}[/tex]

I need help with this I put this out 3 times I need help

Answers

Prompt
What is a row?

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
what are the approximate coordinates of
the car's location after the rotation?

Answers

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
wha

Please help if you understand!! I hope everyone has a great day or is having a great day​

Answers

Answer:

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)=  180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!

Answer:

The value of the angle will be 105 degrees

Step-by-step explanation:

First, one thing to know is that the angles in a triangle all add up to be 180.

From the triangle on the right, two of the angles are given to us.

We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)

Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)

Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)

The remaining angle from the triangle from the right is 50.

Now, a rule of angles is that vertically opposite angles are equal to each other.

Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.

Now we have two known angles in the triangle from the left.

Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.

50 + 25 = 75

180 - 75 = 105

And there is our answer for the angle that is marked with a "?" --> 105 degrees

Hope this explnation made sense and good luck!

Hello please help me

Answers

Answer:

A

Step-by-step explanation:

its D option..........

Jennifer spent $75 on each visit to the grocery store. Write an equation to represent the amount she
spent, y, on x visits to the grocery store.
A y = 75x
B x = 75y
C 75 + x = y
D y = 75 - X

Please help

Answers

A 1 visit = 75 x 1 = 75 $ ; 2 visits = 75 x 2 = 150 $ ...

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

97.6

Step-by-step explanation:

Answer:

97.6

Step-by-step explanation:

I don't get this problem

Answers

Just assuming - A = 20, B = 120, and C = 40
F = 30, G = 75, and H = 75

if the temperature fell 2 degrees for 8 days in a row, which expression would best represent this situation​

Answers

Answer:

C

Step-by-step explanation:

Answer:

I think C. -2×8

Step-by-step explanation:

bc for 8 days it is going down 2 degrees

work out the area of a circle with diameter 1.8cm. Take [tex]\pi[/tex] to be 3.142 and give your answer in 1 decimal place.

Answers

Area of a circle is pi x r ^2

R = diameter/2

R = 1.8/2 = 0.9

Area = 3.142 x 0.9^2

Area = 2.5 square cm.

Match each statement (term) with its value in relation to 0 (definition).

Match Term Definition
A building is 38 feet tall. A) 2.7
The scuba diver was 38 feet below sea level. B) −38
The basement is 8.3 feet below ground. C) 38
Oliver owes his sister $27. D) –27
Erica jumped 2.7 feet above ground. E) –8.3
Match them
for example: A C D B (not the answer just an example)

Answers

The correct order is as follows: C, B, E, D, A

Emily and Andy each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire.

Emily needs 21 feet of wire. How much will she spend on wire?

Answers

Answer:

630 dollars is the answer

Answer:

15.12

Step-by-step explanation:

you multiply 120 by 3

Need help fastttt

Aviva has a total of 70 coins, all of which are either dimes or nickels. The total value of the coins is $5.95. Find the number of each type of coin.
A.23 nickels: 47 dimes
B.26 nickels: 44 dimes
C.21 nickels: 49 dimes
D.49 nickels: 21 dimes

Answers

Answe

b i hoped this help :)

Step-by-step explanation:

Answer:

The answer is c:)

Step-by-step explanation:

20 nickels = 1 dollar

40 dimes=4 dollar

4+1=$5

9 dimes + 1 nickel = 95

$5.95

Directions- graph the following slope intercept equation

Answers

Answer:

Look at the picture

Step-by-step explanation:

Question 5 of 8
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter to as x^3. Do
not include "G(x) =" in your answer.

Answers

Answer: g(x) = (x - 1)^3

Step-by-step explanation:

There is a transformation called "horizontal translation"

For an initial function f(x), a horizontal translation of N is written as:

g(x) = f(x - N)

where if N is positive, we have a translation of N units to the right.

If N is negative, we have a translation of N units to the left.

Here, we can see that:

f(x) = x^3, such that when x = 0, f(0) = 0.

And g(x) seems to be a horizontal translation of f(x) (because the graph of g(x) is equidistant to the graph of f(x)), then:

g(x) = (x - N)^3

And we can see that when x = 0, g(0) = 1

Then:

g(0) = (0 - N)^3 = 1

          N^3 = 1

          N = ∛1 = 1

Then the equation for g(x) is:

g(x) = (x - 1)^3

Ramon knows there are 60 seconds in 1 minute. He writes the equation 60s=m to find the number of minutes, m, in any number of seconds, s.

Use the drop-down menus to complete the statements about Ramon's equation.

Answers

Answer:

60 seconds is 1 minute, let's say for example you wanna find how many seconds is 3 minutes. So you gotta take 60(3) = 180m. :)

Step-by-step explanation:

вычислите: 7/8:(-2 1/4):5/6:(2 1/2):(-6/25)​

Answers

Answer:

= 3087 / 320

Step-by-step explanation:

-4/11 y = -16/33 Helppp its Equations with Rational Coefficients!!

Answers

y= 4/3

Divide both sides by -4/11.

-11 x -16 = 4/3 :)
4. 33

I have no idea what to do. Pls help me

Answers

for the first one all u do is 5 times 2 = 10 + 2 = 12. the denominator stays the same so 12/5. then you do the same thing to the other fraction. 3 times 1 = 3 + 2 = 5. the denominator stays the same so your fraction is 5/3. so the answer is 12/5 times 5/3.

hope this helps !

In Jamie's pocket there are 45 coins.
The coins are either dimes or nickels.
The ratio of dimes to nickels is 2 : 3.
How many dimes does Jamie have?
dimes.
Jamie has

Answers

D:N
2 :3
Add them together to get the total which = 5
5 = 45
2 ?
= 18
No of dimes is 18

Answer:18

Step-by-step explanation: 45 ÷ 5 = 9

9 × 3 = 27

9 × 2 = 18

18:27

He has 18 dimes.

Which has the most elastic demand?
A)Post Raisin Brand
B) cereal
C) Post Raisin Brand from a Giant grocery store
D) food
E) Breakfast food

Answers

Answer:

C

Step-by-step explanation:

because Post rasinin brand from a giant grocery store

Answer:

C

Step-by-step explanation:

I hope this help

Three puppies weigh 1 1/16 pounds, 1 3/16 pounds, and 15/16 pound. You are carrying all three in a basket. Find the total weight of the three puppies.

Answers

Answer:

3 3/16

Step-by-step explanation:

1 1/16+1 3/16+15/16=3 3/16

1 1/16 + 1 3/16 = 2 1/4 + 15/16= 3 3/16 pounds

Which expression is equivalent to 3(2x + 1) — (x — 1)?
A. 5x
B. 5x + 2
C. 5x + 4
D. 3x + 6

Answers

The answer is C. 5x + 4

Help Me As quick as possible

Answers

Answer:

(A)

Step-by-step explanation:

Answer:

C and D are greater than 250.

Step-by-step explanation:

a = 225

b = 41 1/6

c = 500

d = 281 1/4

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