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Sedbober [7]
2 years ago
13

Find the angle which is 6 times its complement​

Mathematics
2 answers:
anyanavicka [17]2 years ago
7 0

\qquad\qquad\huge\underline{{\sf Answer}}

\textsf{Let the angle be x, then it's complement }\textsf{will be } ~

\qquad \sf  \dashrightarrow \:  \dfrac{x}{6}

\textsf{And as we know, sum of complimentary angles } \textsf{measure 90°}

\qquad \sf  \dashrightarrow \: x +  \dfrac{x}{6} = 90

\qquad \sf  \dashrightarrow \:  \dfrac{6x + x}{6}  = 90

\qquad \sf  \dashrightarrow \: 7x = 90 \times 6

\qquad \sf  \dashrightarrow \: x =  \dfrac{540}{7}

\textsf{So, the required angle is } {\sf{{\dfrac{540\degree}{7}}}}

Marysya12 [62]2 years ago
4 0
Using subUsing substitution for Y, the top equation becomes X +6z= 180. Using elimination with X +6z= 180 and subtracting X+z= 90 result is 5z=90 and Z= 18. So complimentary angle is 18°
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Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Ilya [14]

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

Chang in miles = 3

Change in time = 1

Slope = 3/1

Slope = 3

7 0
3 years ago
-0.2(x-20)=44-x Please i really need help. and please add an explanation if u want to.
neonofarm [45]

Answer: x = 50

Step-by-step explanation:

-0.2(x - 20) = 44 - x

-0.2x + 4 = 44 - x (distribute the -0.2)

  + x                + x

-----------------------------------------------------

0.8x + 4 = 44

        - 4    - 4

-------------------------------------------------------

0.8x = 40 (divide by 0.8)

x = 50

6 0
3 years ago
What is 3^4÷(9+3) I need the answer
Lisa [10]
Exact form: 27/4

decimal form: 6.75

mixed number: 6(3/4)
4 0
3 years ago
Read 2 more answers
How long is the arc formed by a 300 degree central angle in a circle with a radius of 7 cm.?
Artyom0805 [142]
<h3>Answer: </h3>

approximately 36.633 cm if you use pi = 3.14

approximately 36.6519 cm if you use the calculator's stored value of pi

Work Shown:

L = arc length, r = radius, x = central angle in degrees

L = (x/360)*2*pi*r

L = (300/360)*2*pi*7

L = (35/3)pi .... exact arc length in terms of pi

L = (35/3)*3.14

L = 36.633 .... approximate arc length

Keep in mind that I used pi = 3.14 which isn't that great an approximation for pi. If you want to use more digits of pi, then use your calculator's built in version of it to get (35/3)*pi = 36.6519; of course it will depend on which option your teacher prefers.

3 0
3 years ago
The area of the base of a right triangular prism is 9cm and the length of the prism is 10cm. Calculate the volume of the prism.
NeX [460]
I'm guessing these are two questions? Anyway, to find the volume of most prisms, you just do base area into height. Here,we have our work cut out for us since we already have base area.
For the one with the 9, 10 dimensions, the volume is (9x10) = 90cm^3
For the the one with the 14.5, 6 dimensions, the volume is (14.5x6) = 87cm^3
3 0
3 years ago
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