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4 years ago

Which statement about these triangles is true

Mathematics

2 answers:

nata0808 [166]4 years ago

6 0

Answer: I believe it is the last one- There are exactly three scalene triangles.

Step-by-step explanation: D, C, and E are all unequal sides(scalene.

I hope this helps

yuradex [85]4 years ago

4 0

Answer with explanation:

A triangle is a polygon ,which has three sides in all.

⇒A triangle is said to be Isosceles , if it's two angles or corresponding sides in front of these two angles are equal.

⇒A triangle is said to be Acute Angle Triangle , if all three angles are less than 90 degree.

⇒A Triangle is said to be Right Angled Triangle, if it's one Angle has measure equal to 90 degree.

⇒Scalene triangle is that triangle,whose all sides are unequal.

Coming to the Question:

There are 5 triangles,A,B ,C,D,and ,E .

If you take the side of square ,as 1 unit

⇒ Triangle A=

Two sides are approximately, 4 units. So, it is a Isosceles Triangle and Acute angled triangle.

⇒ Triangle B=

All three sides has distinct length. All interior angles less than 180 degree.Scalene as well as Acute angled triangle.

⇒ Triangle C=

One Angle is right angle.So,it is right Angled triangle.All three sides are unequal,so we can call it Scalene Triangle.

⇒ Triangle D=

One Angle is right angle.So,it is right Angled triangle as well as Scalene Triangle.

⇒ Triangle E=

Angle greater than 90 degree, and all three sides are unequal.Obtuse Angled Triangle as well as Scalene Triangle.

Option D:

There are exactly three Scalene Triangles.

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Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to

ira [324]

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

6 0

4 years ago

What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

3 0

3 years ago

An excellent swimmer is confident he can judge his speed in the water exactly. He bets he can swim two lengths of a 50-meter Oly

Salsk061 [2.6K]

The time needed at 2 meters per second for both rounds would be 100/2 s or 50 seconds. For the first lane he already used 50/1.5 -> 33.33 seconds, so he would need to cover the other 50 meters in exactly 16.67. 50m divided by the 16.67 seconds he has left means he has to swim at a speed of 3 meters per second.

6 0

4 years ago

Please I need help!!!

Natalija [7]

Answer:

Step-by-step explanation:

-14 + x = 44

x = 44 + 14

x = 58

3 0

3 years ago

Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0

lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

$P(t>k)=e^{-\lambda t }=e^{-0.4t}$

(a) the probability that a repair time exceeds 3 hours?

$P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30$

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

$P(t>10|t>9)=P(t>1)$

$P(k>1)=e^{-0.4*1}=0.67$

6 0

4 years ago

Which statement about these triangles is true ​

Which statement about these triangles is true