Answer:
66.4°
Step-by-step explanation:
→ Find the side which is not given
Hypotenuse = 15 cm
Opposite = ?
Adjacent = 6 cm
→ Utilise the formula triangle with out opposite in it
Cos⁻¹ = Adjacent ÷ Hypotenuse
→ Substitute in the terms
Cos⁻¹ = 6 ÷ 15 ⇔ 66.4°
Answer:
The expression that uses the distributive property to represent the sum of 39 + 27 is 
Step-by-step explanation:
Given
Expression: 39 + 27
Required
Express using the distributive property
The distributive property is represented in the form a(b + c)
So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)
Equate these two expressions, we have

Factorize the expression on the left hand side

Simplify fraction

Compare expression on left hand side with the expression on the right hand side.
Since, they have the same format, then we've arrived at the answer.
Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is 
Answer:
<em>Correct choices: a) 5:12 and c) 7 to 12</em>
Step-by-step explanation:
The ratio of red beads to pink beads is 5:7. This means that for every 5 red beads there are 7 pink beads.
It also means that for every 12 beads there are 5 red beads and 7 pink beads.
Therefore, there are two part-to-whole ratios:
5:12 red beans to total beads, and
7:12 pink beans to total beads
Correct choices: a) 5:12 and c) 7 to 12
Answer:
The highest score is 94.
Step-by-step explanation:
Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.
Then,
A + X + B = 87 × 3 = 261 ...(i)
X + B = 83.5 × 2 = 167 ...(ii)
⇒ B = 167 - X ...(iii)
A + X = 89 × 2 = 178 ...(iv)
⇒ A = 178 - X ...(v)
Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:
A + X + B = 261
178 - X + X + 167 - X = 261
345 - X = 261
X = 84
Substitute the value of <em>X</em> in (iii) and solve for B as follows:
B = 167 - X
= 167 - 84
= 83
Substitute the value of <em>X</em> in (v) and solve for A as follows:
A = 178 - X
= 178 - 84
= 94
Thus, the highest score is 94.