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4 years ago

Consider this triangle. Which statements is true about the lengths of the sides?

Mathematics

2 answers:

ipn [44]4 years ago

8 0

I believe the answer is the second one. As you can clearly see, there is no drastic contrast between the side going vertical and the side going horizontal, so they're approximately the same length. Then the diagonal one is notably longer than the other two. You really can't choose the others because not all of them have a different length than another, they're obviously not of the same length, and the diagonal line isn't quite long enough to be the sum of the other two.

blondinia [14]4 years ago

5 0

Answer:

Option Two sides have the same length which is less than the length of the third side

Step-by-step explanation:

we know that

The right triangle of the figure has two legs and one hypotenuse

The length sides of the two legs are the same, because is a $45\°-90\°-45\°$ triangle

The third side is the hypotenuse and the hypotenuse is always greater that the legs

therefore

The answer is

Two sides have the same length which is less than the length of the third side

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Find an equation of the plane. the plane through the point (2, 0, 3) and perpendicular to the line x = 9t, y = 7 â t, z = 8 + 7t

Aleks [24]

I am in middle school so i am not sure sorry.

8 0

4 years ago

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it

lesantik [10]

Answer:

1/2 minute

Step-by-step explanation:

We can use a ratio to solve

1/3 bottle 1 bottle

------------ = --------------

1/6 minute x minutes

Using cross products

1/3x = 1/6 *1

1/3 x = 1/6

Multiply each side by 3

3 * 1/3x = 3 * 1/6

x = 3/6

x = 1/2

1/2 minute

3 0

3 years ago

Read 2 more answers

The probability of an economic decline in the year 2020 is 0.23. There is a probability of 0.64 that we will elect a republican

olasank [31]

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) = 0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) = 0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R) = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R) = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

6 0

3 years ago

Please help me<br>I need this answer right now

djyliett [7]

Answer: I wow I don't know about the whole page but (Question 2 ) 24 multiplied by b equals number of mangoes in b boxes

Step-by-step explanation: I hope this makes sense.

b can be replaced with any number you can create a number sentence by plugging in 4 for example 24 * 4 = 96 so there is a total of 96 mangoes if b= 4

8 0

3 years ago

The capacities of two trucks are 3 tons and 4 tons respectively. If the smaller truck makes 18 more trips than the larger, it ca

maw [93]

Let's assume

x represent the number of trips that the larger truck makes

so, we are given

If the smaller truck makes 18 more trips than the larger

so,

number of trips for larger truck =x

number of trips for smaller truck =x+18

The capacities of two trucks are 3 tons and 4 tons respectively

so, capacity of smaller truck per trip =3 tons / trip

total ton carried by smaller truck = (number of trips for smaller truck)*(capacity of smaller truck per trip)

now, we can plug values

total ton carried by smaller truck =3*(x+18)

total ton carried by larger truck = (number of trips for larger truck)*(capacity of larger truck per trip)

total ton carried by larger truck =4x

it can deliver 12 more tons of freight than the larger

so, we get

$3(x+18)=4x+12$

we can move 4x on left side

we get

$3(x+18)-4x=12$ ...............Answer

5 0

3 years ago