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anygoal [31]
3 years ago
14

Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that hav

e the following solution sets:
One solution: x=15
Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

|x-15|=0

Step-by-step explanation:

Obviously.

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A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
hoa [83]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

8 0
3 years ago
∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles
Mnenie [13.5K]

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

G = 26

Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

4 0
3 years ago
Here are 20 students in Jacob's homeroom. Five students bring their lunch to school. The rest eat lunch in the cafeteria. In sim
murzikaleks [220]

Answer: 3/4

Step-by-step explanation:

Number of students in Jacob's homeroom = 20.

Number of students who bring their lunch to school = 5

Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:

= 20 - 5

= 15

Fraction that eats in the cafeteria will be: = 15/20 = 3/4

5 0
3 years ago
Use mental math to find the sum. <br><br> 150 + 20 + 25
stiv31 [10]

Answer:


50 + 20 = 70
70 + 25 = 95
150 + 95 = 245

In conclusion, 150 + 20 + 25 equals to a total amount of 215.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

6 0
2 years ago
Read 2 more answers
What are the zeros of f(x)=(x+5)(x-9)?
klemol [59]

Answer:

x= -5

x= 9

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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