Answer:
13 cm
Step-by-step explanation:
The diagonal of a rectangle forms a right triangle; where the diagonal is a hypotenuse, and two sides of the rectangle are legs.
Using pythagorean's theorem (), we can say:
The hypotenuse is equal to 13cm.
Answer:
x=-17.......................
Step-by-step explanation:
x+17=0
Answer:
76 birds
Step-by-step explanation:
Let x = the number of birds
Let y = the number of cats
x + y = 35 y = 35 - x
4.50x + 8.50y = 221.50 Multiply the whole equation by 100.
450x + 850y = 22150
450x + 850(35 - x) = 22150
450x + 29750 - 850x = 22150
-100x = -7600
x = 76 birds
Answer:
4y^3/2
Step-by-step explanation:
The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.
Answer:
1-
sinA = perpendicular / hypotenuse
sinA = 40 / 50 OR 4/5
cosA = base / hypotenuse
cosA = 30 / 50 OR 3/5
ANS - OPTION(D) 4/5 , 3/5
2-
ANS - OPTION(C) √2 (You will need to learn the trigo angle tables for these questions)
3-
Using Pythagoras theorem-
15^2 = b^2 + 9^2
225 = b^2 + 81
b = √144
b = 12
OPTION(C) b = 12
4-
First we need to find the height of the triangle. To do that we need to take the triangle on the left and use cos30
cos30 = b / 6
√3/2 = b /6
3√3 = b
b = 3√3
and now we can use tan45
tan45 = 3√3 / x
1 = 3√3/x
x = 3√3
ANS - OPTION(A) 3√3
Hope this helps!!!