Answer:
A, 152 cm.
Step-by-step explanation:
A rectangular pyramid has a volume equation of
V = (lwh)/3.
Therefore, when we plug the values in:
[(7)(5)(13)]/3 = V
V = 455/3
V = 151.666667
V is approximately equal to 152 cm^3.
I hope this helped! :)
Answer:
first one c and the second on b
Step-by-step explanation:
Answer:
Step-by-step explanation:
The area of a rectangle is given by 
. Therefore, we can set up the following inequality:
.
Solving this inequality, we have:
.
Therefore, the largest length Carmen's painting can be is 
.
Answer:
Y=-5/3x
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12
