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4 years ago

11

Find the length of the hypotenuse of a right triangle whose legs are 3 and square root of 2.

1 answer:

madreJ [45]4 years ago

6 0

Square root of 11 because:
sqrt2^2 = 2
3^2 = 9
so C^2 or the hypotenuse would be the square root of 11

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From a window 20 feet above the ground, the angle of elevation to the top of a building across

Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

$\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},$

and from the right-angled triangle WAB, we have'

$\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.$

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0

3 years ago

Briana spent 2 3/4 hours on her science project. Jackson worked 1 1/3 times as long on his science project as Briana worked. For

nikdorinn [45]

3 2/3 hours. Because if you do 2 3/4 times 1 1/3 you get 11/3 which simplifies into a mixed fraction of 3 2/3.

8 0

3 years ago

Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find the mean, median, and

belka [17]

Answer: Mean = 204.6 , Median = 195 and mode =195

Step-by-step explanation:

The given data for Winona’s bowling scores for the past nine weeks : 195, 180, 195, 212, 208, 231, 179, 246, 195.

The formula to find Mean is given by :-

$\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\=\dfrac{1841}{9}=204.555555556\approx204.6$

For median , first we arrange data values in order as

179, 180, 195, 195, 195, 208, 212, 231, 246

Since the number of data values is 9 (odd).

∴ Median = Middle most data value = 195

Also, Mode = Most occurring data value = 195

3 0

4 years ago

I'll make you brainliest Easyquestion 6th grade multiply and add fractions pleaze answer it ASAP

kirill115 [55]

area of triangle= bh/2

= 10.5x5.75/2

= 30 5/16

6 0

3 years ago

Read 2 more answers

Two squares have sides 12cm and 4cm respectively. What is the ratio of their sides

Nookie1986 [14]

Answer:

3 : 1

Step-by-step explanation:

We have to compare the value of two sides.

Ratio of sides = 12 : 4 = $\dfrac{12}{4}=\dfrac{4*3}{4*1}=\dfrac{3}{1}$

= 3 : 1

6 0

2 years ago