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Work Shown:
If cos(A) = sin(B), then A+B = 90, where A & B are both acute angles in degree form.
In this case, A = 52, so,
A+B = 90
B = 90-A
B = 90-52
B = 38
Telling us that
cos(A) = cos(52) = 0.6157
sin(B) = sin(38) = 0.6157
cos(52) = sin(38)
y = -12
x = 7
x = -12
how to convert improper fraction to a mixed (reduced to lowest terms)
change to an improper fraction: 4 2/3=?
Henry deposits $25,000 into a Big City Bank savings account. The bank charges a simple interest rate of 2.25%. After 5 years, Henry will have $27812.5 in his account.
Given,
P = 25000 r = 2.25%
t = 5
Replace the formula,
F = 25000 + 25000 × ( 2 .25/100) × 5
Calculate the quotient or product:
25000 × (1 + 0.1125)
Simplifying,
25000 × 1.1125
Calculate the quotient or product:
27812.5
Hence, After 5 years, Henry will have $27812.5 in his account.
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Answer:
$27812.5
Step-by-step explanation:
2.25% = $562.5 each year
What is the value of x?
Given:
Intercepted arcs of small circle:
78° and x°
Intercepted arcs of large circle:
57° and 121°
To find:
The measure of angle formed by two secants and the value of x.
Solution:
Consider a large circle:
The angle made by two secants intersecting outside a circle is half the difference between the measure of intercepted arcs.
The measure of the angle formed by two secants is 32°.
Two circles are concentric circles.
Therefore 32° is also the angle made by small circle arcs.
Multiply by 2 on both sides.
Add 78° on both sides.
The value of x is 124.