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miv72 [106K]
3 years ago
10

Give the equation of the line with a slope of 1/3 and a y-intercept of −6

Mathematics
1 answer:
kherson [118]3 years ago
8 0

Answer:

y=1/3x-6

Step-by-step explanation:

equation: y=mx+b

m=slope, b=y-intercept

equation: y=1/3x-6

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Can you help me with this one
Gelneren [198K]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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
Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the pac
grin007 [14]
Add whole numbers: 2 + 6 + 8 = 16
Add fractions:

= 1/3 + 3/4 + 1/2

= (8 + 18 + 12) ÷ 24

= 38/24 or 1 14/24 or simplified to 1 7/12

Total surface area = 16 + 1 7/12 or 17 7/12


5 0
3 years ago
Read 2 more answers
Divide 7/15 by 3/5. <br> A. 75/21<br> B. 7/9<br> C. 7/25<br> D. 21/75
Digiron [165]
In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
                              = (7 * 5)/(15 * 3)
                               = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
                               = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.
5 0
3 years ago
Read 2 more answers
Find the area of the shaded region. Factor, if possible.
MissTica
Um, is this the picture?
8 0
2 years ago
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