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Allushta [10]
3 years ago
13

How many different triangles can be constructed with side lengths 5 inches, 7 inches, and 15 inches? exactly one triangle​ more

than one triangle​ no triangles
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
8 0
No triangle can be constructed.<span />
AysviL [449]3 years ago
5 0
I Just did the test and the answer was no triangle can be constructed.
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What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?
Amiraneli [1.4K]

Answer:

(-3, -2)

Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at (\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2}). Where:

(x_{1}, x_{2}) = (-6, 6)

(y_{1}, y_{2}) = (-3, 1)

Then, the midpoint is at:

(\frac{-6 +6 }{2}, \frac{-3+1}{2}) = (0, -1)

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

(x_{1}, x_{2}) = (-6, 0)

(y_{1}, y_{2}) = (-3, -1)

⇒ (\frac{-6 +0}{2}, \frac{-3-1}{2}) = (-3, -2)

Therefore, the point is 1/4 of the way from A to B is:  (-3, -2)

8 0
3 years ago
425 is what percent of 1700
IgorLugansk [536]
Find 425/1700 as a decimal fraction, and then mult. the result by 100%:

425
-------- * 100% = 25% (answer)
1700
4 0
3 years ago
At Pizza Pi, 40% of the pizzas made last week had extra cheese. If 8 pizzas had extra cheese, how many pizzas in all were made l
Natalija [7]

Answer:

20 pizzas.

Step-by-step explanation:

40% = 8

1% = 8 ÷ 40 = 0.2

100% = 0.2 x 100 = 20

3 0
2 years ago
Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote
lapo4ka [179]
The resulting equation 75 = 75 is an identity; this tells that the two equations of the system are equivalent, this is they both represent the same function. So, Lian can conclude that (option c) both gyms charge the same monthly rate and the same membership fee<span>.</span>
3 0
3 years ago
Read 2 more answers
I will give lots of points please help
aalyn [17]

Answer:

a)  81π  in³

b)  27  in³

c)  divide the volume of the slice of cake by the volume of the whole cake

d)  10.6%

e)  see explanation

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

The cake can be modeled as a <u>cylinder </u>with:

  • diameter = 9 in
  • height = 4 in

\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}

<h3><u>Part (b)</u></h3>

\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}

<h3><u>Part (c)</u></h3>

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}

<h3><u>Part (d)</u></h3>

Probability is approximately 10.6%  (see above for calculation)

<h3><u>Part (e)</u></h3>

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>.  So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0
2 years ago
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