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uysha [10]
2 years ago
8

Please help with triangle question

Mathematics
2 answers:
mestny [16]2 years ago
6 0

Answer:

Area= (Base* Height)/2=(Base*12)/2=120

Base*12=120*2=240

Base=240/12

Base=20 m

Step-by-step explanation:

tankabanditka [31]2 years ago
6 0

Good morning ☕️

Answer:

<h2>20 m</h2><h2 />

Step-by-step explanation:

Consider A the area of the triangle      

                h the height      

               b the base length

_________

<em><u>rule:</u></em>

A=\frac{b*h}{2}

_________

then

b =\frac{2A}{h} = \frac{2*120}{12} =\frac{240}{12} =20

___________________________

:)

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What is a equation when the slope is 6 and the y intercept -8
attashe74 [19]

Answer:

y=6x-8 is the answer

Step-by-step explanation:

the formula is y=mx+b. m is the slope and b is the y intercept.

8 0
2 years ago
Could someone help me please ? :)
Degger [83]

ANSWER = 17.5% of 360 = 63

EXPLANATION:

Find 10% of 360 = 36

Then 5% of 360 = 18

Then 2.5% of 360 = 9

Add them together

so 17.5% of 360 = 63

8 0
2 years ago
An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth
Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

<em>Let </em>\bar X<em> = sample mean improvement</em>

The z-score probability distribution for sample mean is given by;

            Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = mean improvement = 655.6 vehicles per hour

            \sigma = standard deviation = 311.7 vehicles per hour

            n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < \bar X < 728.1) = P(\bar X < 728.1) - P(\bar X \leq 583.1)

  P(\bar X < 728.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z < 1.64) = 0.9495

  P(\bar X \leq 583.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z \leq -1.64) = 1 - P(Z < 1.64)

                                                            = 1 - 0.9495 = 0.0505                      

<em />

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.</em>

Therefore, P(583.1 < \bar X < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0
3 years ago
Chelsea shows her work in finding the solution to 4−5=2+3(−3) 4 x - 5 = 2 + 3 ( x - 3 ) . After checking her answer in the origi
egoroff_w [7]

Answer:

x = -2

Step-by-step explanation:

Equation is given as;

4 x - 5 = 2 + 3 ( x - 3 )

Step 1: Expand the brackets

4x - 5 = 2 + 3x - 9

Step 2: Collect like terms

4x - 3x = 2 - 9 - (-5)

Step 3: Simplify

x = 2 - 9 + 5

x = -2

4 0
2 years ago
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