The length of the base of a triangle is twice its height. if the area of the triangle is 169 square kilometers, find the height

Mathematics

1 answer:

Alik [6]3 years ago

4 0

Answer:

13 km

Step-by-step explanation:

The area formula for a triangle is ...

A = (1/2)bh

We are told that b=2h, so this becomes ...

A = (1/2)(2h)(h) = h²

Substituting the given area, we can find h:

169 km² = h²

(√169) km = h = 13 km

The height is 13 km.

You might be interested in

A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c

tensa zangetsu [6.8K]

Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.

The standard error is
Es = $\sqrt{ \frac{p(1-p)}{n} }$
where
n = the sample size.

The margin of error is
$E=z^{*}E_{s}$
where
z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.
The 95% confidence interval is
p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)

Answer:
The 95% confidence interval is between 6.1% and 9.1%.

3 0

3 years ago

In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :

aniked [119]

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x