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postnew [5]
2 years ago
12

Need help figuring this out!

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

For this case, we have that by definition, the area of a triangle is given by:

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

where:

b: It's the base

h: It's the height

In this case we have:

b = 21 \ ft\\h = 6 \ ft

Substituting:

A = \frac {21 * 6} {2}\\A = 63 \ ft ^ 2

Answer:

63 \ ft ^ 2

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Tomas and Tasha were hiking at a speed of 3.5 mph. On their way back, they were tired and their speed was 2 mph. How long was th
Anna35 [415]

 To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

 Speed of Tomas and Tasha initially = 3.5 mph

Therefore, distance travelled by both with the speed of 2 mph one way will be,

 Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

                                 = (t + 1.5) hours

Therefore, distance travelled while coming back = Speed × Time

                                                                                  = 2(t + 1.5)

Since, length of the route is same both ways,

3.5t = 2(t + 1.5)

3.5t = 2t + 3

3.5t - 2t = 3

1.5t = 3

t = 2 hours

Now substitute the value of t in the expression to get the distance of the route,

Distance = 3.5t

               = 3.5 × 2

               = 7 miles

 Therefore, route was 7 miles long.

Learn more,

brainly.com/question/1955818

7 0
2 years ago
Read 2 more answers
150=3/5x what does x equal?
svetlana [45]

Answer:

250

Step-by-step explanation:

150/3=50

50*2=100

150+100=250

7 0
3 years ago
Read 2 more answers
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)

Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0
3 years ago
an obtuse triangle has the side as x-3 on the left and then the right says x then the bottom says x+6 can you find the perimeter
user100 [1]

Answer:

P = (x-3) + (x+6) + x

P = 3x+3

Step-by-step explanation:

To find the perimeter of a figure, you just need to add all sides together. First, you need to set up an equation that adds all sides together. Then, you would need to combine like terms (x+x+x=3x); -3+6=3. So you would take 3x and add 3, since 3 is positive.

Hope this helps!

7 0
3 years ago
Write y=2x^2+8x+10 in vertex form?
muminat
The answer is -2 you use the formula -b over 2a
5 0
3 years ago
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