We know the opposite side (10) and the adjacent side (7), so we can use tangent to find angle B. Since tan = opposite side/adjacent side, we can set up this equation: tan(B) = 10/7. We can get B on its own by making the equation this:
Now, we plug this into our calculator to get:
B = 55°, so angle B is 55°.
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The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
The ratio the point P partition the directed line segment from M to N is 9:2
<u>Step-by-step explanation:</u>
Let the total distance between M and N be 'd'
Point P distance from M = (9/11) d
Point P distance from N = (1 - 9/11) d
= (2/11) d
The ratio of the distance = (9/11) d / (2/11) d
= 9/2
= 9:2
The ratio the point P partition the directed line segment from M to N is 9:2
Answer:
48 cubes are needed to fill the prism
Step-by-step explanation:
To solve this problem we first have to calculate the volume of the cube
1/2 units= 0.5 units
To calculate the volume of a cube we have to use the following formula:
v = volume
s = side = 0.5 u
v = s * s * s
we replace the values that we know
v = 0.5 u * 0.5 u * 0.5 u
v = 0.125 u³
The volume of the cube prism is 0.125 u³
Now we have to divide the volume of the prism by the volume of the cubes
6 u³ / 0.125 u³ = 48
48 cubes are needed to fill the prism
Answer:
There were 5 toppings on his pizza.
Step-by-step explanation:
From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:
c=17.50+2.35x, where:
c is the total cost
x is the number of toppings
Now, you can replace the total cost with $29.25 and solve for x:
29.25=17.50+2.35x
29.25-17.50=2.35x
11.75=2.35x
x=11.75/2.35
x=5
According to this, the answer is that there were 5 toppings on his pizza.
