Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253
Answer:
y-intercept : -7
x-intercept : 7/5
Step-by-step explanation:
<em>FOR</em><em> </em><em>Y</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>x</em><em> </em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>
<em>FOR</em><em> </em><em>x</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>y</em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equa</em><em>tion</em><em>!</em>
<em> </em><em>✌️</em><em>;</em><em>)</em>
Answer:
4
Step-by-step explanation:
First, we can know our multiplication charts and know that 16 x 6 = 96
96 is the closest we can get to 100 while still having a remainder, which is 4
4 is the remainder, and is the amount left over.
