Carrie could have 3 vases filled with 100 marbles, and 4 vases filled with 10 marbles. Hope I helped!
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Step-by-step explanation:
Given:
Let,
point S( x₁ , y₁) ≡ ( -1 , 1)
point T( x₂ , y₂) ≡ (3 , -5)
Point M( x , y ) is the Mid point of segment ST.
To Find:
Point M( x , y )= ?
Solution:
As Point M( x , y ) is the Mid point of segment ST.
So we have Mid Point Formula as
On substituting the given values in above equation we get
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Shaded area = Circle area - Rectangle area
Shaded area = 3.14 × (4)^2 - 5 × 6
Shaded area = 3.14 × 16 - 30
Shaded area = 50.24 - 30
Shaded area = 20.24
Shaded area = 20.2
Answer:
x=-17/5
Step-by-step explanation:
1. Simplify -6x-3x+4+4x−6x−3x+4+4x to -5x+4−5x+4.
21=−5x+4
2. Subtract 44 from both sides.
21−4=−5x
3. Simplify 21-4 to 17.
17=-5x
4. Divided both sides by -5.
-17/5=x
5. Switch sides.
x=-17/5
Hope this helps.
