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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.

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 = 21 $yards^{2}$

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