Answer:
the perimeter of the book cover is 504
:)
Step-by-step explanation:
9514 1404 393
Answer:
6
Step-by-step explanation:
You will recognize that these points both have the same x-coordinate, so are on the vertical line x=2. The distance between them will be the difference of the y-coordinates:
6 - 0 = 6
The points are 6 units apart.
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If you like, you can use the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
The values of these parameters are ...
x1 = 2, y1 = 0
x2 = 2, y2 = 6
Then the distance is ...
d = √((2 -2)² +(6 -0)²) = √(0 +36) = 6
The distance between the points is 6 units.
The answer is B. (15,18)
Solution:
First, let's set the variables first.
X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house
For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
2X + 3Y = 84 </span>⇒ equation 1
For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
X + 4Y = 87 </span>⇒ equation 2
Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.
Using elimination method in solving for x and y,
(equation 1) 2X + 3Y = 84
(equation 2) 2(X + 4Y) = 87
2X + 8Y = 174 ⇒ equation 3
Next, subtract equation 3 from equation 1.
2X + 3Y = 84
- (2X + 8Y = 174)
-------------------------
- 5Y = -90
Y = 18
Find X when Y = 18
@ equation 1 : 2X + 3Y = 84
2X + 3(18) = 84
2X + 54 = 84
2X = 84 - 54
2X = 30
X = 15
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).
Answer: (15,18)
Answer:
56 and 43
Step-by-step explanation:
(x+13)+x = 99
2x+13 = 99
2x = 99-13
2x = 86
x = 86/2
x = 43
Smaller number = 43
Larger number is 56
Check
56-43 = 13
56+43 = 99
Step-by-step explanation:
right-angled triangle, and law of sine (for any type of triangles) :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the correlated angles are always opposite from each other.
and we know that the sum of all angles in a triangle is always 180°.
so, the angle at the foot of the radio tower is 90°.
the angle from the top of the shadow to the top of the tower is 78.5°.
so, the third angle (at the top of the tower) is
180 - 90 - 78.5 = 11.5°
and with the law of sine we get
height/sin(78.5) = 64/sin(11.5)
height = 64×sin(78.5)/sin(11.5) = 314.57005... ft
