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irga5000 [103]
3 years ago
8

Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the right t

riangle is 2 1/3 yards. Find the area of the triangular playground.
Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

area of right triangle = ab/2

                     base = 18yards

                    height = 2 1/3 = 7/3yards

area =  (18 * 7/3) /2 = 42 /2 = 21yards^{2}

hope this answer helps you.....

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√2 times √800 anyone know?
jeka94

\sqrt{2}  \times  \sqrt{800}

\sqrt{2}  \times 20 \sqrt{2}

\sqrt{2}  \times  \sqrt{2}  =  \sqrt{4}  \:  = 2

20 \times 2 = 40

therefore \:  \:  \:  \sqrt{2}  \times  \sqrt{800} = 40
5 0
3 years ago
Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j
MA_775_DIABLO [31]

Answer:

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

x+y+z=37 -----> equation A

x=y+4 -----> y=x-4 ------> equation B

z=x+2 ------> equation C

Substitute equation C and equation B in equation A and solve for x

x+(x-4)+(x+2)=37

3x=37+2

3x=39

x=13\ mi

Find the value of y

y=13-4=9\ mi

Find the value of z

z=13+2=15\ mi

therefore

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

3 0
3 years ago
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Irina18 [472]

Answer:

7:1

Step-by-step explanation:

There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.

4 0
3 years ago
Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv
Natasha2012 [34]

Answer:

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=652.6 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size  

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=50-1=49

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that t_{\alpha/2}=2.01

Now we have everything in order to replace into formula (1):

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

6 0
3 years ago
Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun
navik [9.2K]
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 * <span> <span> <span> 4.9839512884
</span></span></span>Total = <span> <span> <span> 747,592.69</span></span></span>

<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163 </span> </span> </span>
<span>Total = 992,154.92</span>

Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23 </span>

Source:
http://www.1728.org/compint.htm
online interest calculator



7 0
3 years ago
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