Answer:
130356 grams.
Step-by-step explanation:
The table shown in the picture is a proportion table. What I did here was divide 34932 by 4.1. That gave me 8520. So, 1 cm³ of metal is 8520 grams. Now multiply that by 15.3.
8520/1 * 153/10
<em>Cross-cancellation (8520 becomes 852, 10 becomes 1 (GCF: 10))</em>
852 * 153
<em>Multiply 852 by 153 to get 130356.</em>
130356
15.3 cm³ of metal weighs 130,356 grams.
<em>(Long multiplication work is below.</em>
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
Answer: The prime integers beterrn 20 and 40 are 23, 29, 31, and 37. Their sum is
23+29+31+37=120.Step-by-step explanation:
Answer:
7x² + x + 14
Step-by-step explanation:
(2x² + 6x + 4) + (5x² - 5x + 10)
Remove parentheses
2x² + 6x + 4 + 5x² - 5x + 10
Put like terms together.
2x² + 5x² + 6x - 5x + 4 + 10
Simplify.
7x² + x + 14