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1 year ago

Classify the following triangle. Check all that apply.

Mathematics

2 answers:

satela [25.4K]1 year ago

4 0

The answers to this question is A,D,and F

irina [24]1 year ago

4 0

Answer:

A. Equilateral,

D. Acute,

F. Isosceles.

Step-by-step explanation:

We have been given an image of a triangle and we are asked to classify our given triangle.

We can see from our given triangle that its all angles are equal, therefore, our triangle is an equilateral triangle and option A is a correct choice.

Since all the angles of an equilateral triangles equal to 60 degrees and our triangle has no angle that measures 90 degrees or more than 90 degrees, therefore, our triangle is neither right nor obtuse triangle and option B and C are not correct.

Since all the angles of an equilateral triangles equal to 60 degrees, therefore, our triangle is also acute triangle and option D is the correct choice.

Since all sides of a scalene triangle are unequal, while all sides of an equilateral are equal, therefore, our triangle is not a scalene triangle and option E is not correct.

An isosceles triangle has two equal sides, while an equilateral has three equal sides, therefore, every equilateral triangle is isosceles and option F is correct.

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The Parker family drove a total of 180 miles on the road trip. This distance is 1.5 times the distance they drove on the first d

Veronika [31]

Parker family drove 120 miles on the first day

Step-by-step explanation:

Given:

Total miles driven on the road trip= 180 miles

solution:

Lets assume the distance drove on the first day is x

The total distance covered on the road trip is 180 miles. so,

$(x) *1.5 = 180$

$x=\frac{180}{1.5}$

Hence, x = 120.

The distance travelled on the first day is 120 miles.

4 0

2 years ago

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will

dsp73

Answer: 0.31

Step-by-step explanation:

Let A denotes the event of Tampa Bay Buccaneers will score a touchdown on their opening drive and B denote the event that their defense will have 3 or more sacks in the game.

Given : P(A)=0.14 P(B) = 0.31 P(A or B)=0.14

Formula : P(A and B)= P(A) + P(B) - P(A or B)

Now, the probability that they will both score a touchdown on the opening drive and have 3 or more sacks in the game will be :-

P(A and B)= 0.14 + 0.31 - 0.14=0.31

Hence, the required probability : 0.31

7 0

2 years ago

Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

5 0

1 year ago

Read 2 more answers

The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)

Lemur [1.5K]

Answer:

Cardiac output: $F=0.055 L\s$

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output: $F=\frac{A}{\int\limits^T_0 {c(t)} \, dt}$ ---1

A = 3 mg

$\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt$

Do, integration by parts

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}$

Substitute the value in 1

Cardiac output: $F=\frac{3}{54.49}$

Cardiac output: $F=0.055 L\s$

Hence Cardiac output: $F=0.055 L\s$

4 0

1 year ago

Which of the following describes point H? (-3, 3) (3, 3) (-3, -3) (3, -3)

Dominik [7]

H (3,-3)

hope it helps

3 0

2 years ago

Read 2 more answers