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BaLLatris [955]
3 years ago
5

One leg of a right triangle measures 6 inches. The remaining leg measures 6 square root of 3 inches. What is the measure of the

angle opposite the leg that is 6 inches long?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long

we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>

</span>
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Solve by factoring c^2=5c
muminat
Hey there!

c² = 5c

Subtract 5c from both sides:

c² - 5c  = 5c - 5c

Simplify :

c² - 5c = 0

c = 5 , c = 0


6 0
3 years ago
Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
I need help with this question.
Nataly_w [17]

Answer:

Plot 2 2/5 at the 4th tick mark past 2

Plot 1 7/10 at the 7th tick mark past 1

5 0
3 years ago
Given that R = 3x + 9y
Bingel [31]

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

7 0
3 years ago
PLS ANSWER ITS URGENT
matrenka [14]

Answer:

The length of the ramp must be at least 14.71 feet

Step-by-step explanation:

Given

BC = 2.3ft

\theta = 9^\circ

<em>See attachment for complete figure</em>

Required

Length of the ramp (z)

To do this, we consider sin of angle A (\theta).

So, we have:

sin\theta = \frac{Opposite}{Hypotenuse}

This gives:

sin(9)= \frac{2.3}{z}

Make z the subject

z= \frac{2.3}{sin(9)}

z = \frac{2.3}{0.1564}

z = 14.71 ft

<em>The length of the ramp must be at least 14.71 feet</em>

6 0
3 years ago
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