Answer:
<h2>y = 54 ✅</h2>
Step-by-step explanation:
If the two numbers vary directly, we can use a proportion to find the missing value.
36/4 = y/6
4y = 216
Divide by 4
y = 54
Check
36/4 = 54/6
216 = 216 ✅
Answer:
Raspuns corect: b)
Step-by-step explanation:
a4b=24, a×4×b=24⇒a×b=6
perechile de numere cu produsul 6 sunt: {1,6} si {2,3}
a4b in baza 10=100a+40+b
100×1+40+6=146
100×6+40+1=641
100 ×2+40+3=243
100×3+40+2=342
146+641+243+342=1372
Raspuns corect: b)
Answer:
The measure of the angles are 40 degrees and 50 degrees
Step-by-step explanation:
Let
x ----> the measure of one angle in degrees
y ----> the measure of the complementary angle in degrees
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
----> equation A
we have that
----> equation B
Substitute equation B in equation A and solve for y

Find the value of x

therefore
The measure of the angles are 40 degrees and 50 degrees
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
<span>We write the equation in the standard form which is:
ax^2 + bx + c = 0
(x + 15)(x) = 100
x^2 + 15x - 100 = 0
(x + 20) (x-5) = 0
The solutions are
x = -20 and x = 5
Therefore, the correct answer is option B. </span><span>The solution x = 5 should be kept, but x = –20 is unreasonable.</span><span>
</span>