Answer:
The ratio of the volume of the triangular prism to the volume of the cuboid is 
.
Step-by-step explanation:
Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:
Triangular prism
Cuboid
Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:
The ratio of the volume of the triangular prism to the volume of the cuboid is .
Answer:
m∠c = 30°
Step-by-step explanation:
Given:
m∠e = 115° and m∠b = 85°
To find:
m∠c
Angle e and angle a are the linear pairs.
By the property of linear pair of angles,
m∠a + m∠e = 180°
m∠e = 180° - m∠a
115° = 180° - m∠a
m∠a = 180 - 115
= 65°
By the property of interior angles of a triangle,
m∠a + m∠b + m∠c = 180°
65° + 85° + m∠c = 180°
m∠c = 180 - 150
m∠c = 30°
Therefore, measure of angles c is 30°.
Answer:
a. -44
b. 32
Step-by-step explanation:
i need more characters so imma show work
((4-10+3(2-3))+2)6-2
((-9)+2)6-2
-42-2
-44
(9+3(2)) + ((6+2(-2))+7)
(9+6)+((10)+7)
15+17
32
Answer:
distance = 80 miles
Step-by-step explanation:
The rate is distance over time
rate = 15 miles/ 90 minutes
Converting the minutes to hours
90 minutes * 1 hours / 60 minutes = 1.5 hours
rate = 15 miles / 1.5 hours = 10 miles/ hour
We know distance rate * time
She rides 8 hours per week
distance = 10 miles / hour * 8 hours
distance = 80 miles
Answer:
n-4= -15
Step-by-step explanation:
"4 less than a number n" is represented by n-4.
it says it "is" -15, so this equals -15.
n-4= -15
