Answer:
14.5 =x
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = BC / AB
sin 65 = x /16
Multiply each side by 16
16 sin 65 =x
14.50092459 =x
14.5 =x
Answer:
the x intercepts of the parabola are -2.
Answer: X = 7√2
Step-by-step explanation:
Let first Consider triangle BDC,
Cos C = adjacent/ hypothenus
Cos C = 7 / x ...... (1)
Also, let consider triangle ABC
Cos C = adjacent / hypothenus
Cos C = x / 14 ....... (2)
Since angle C is the same, equate equation 1 to 2
7/ x = x / 14
Cross multiply
X^2 = 98
Make x the subject of formula
X = sqrt (98)
X = sqrt ( 49 × 2 )
X = sqrt (49) × sqrt (2)
X = 7 sqrt(2)
X = 7√2
Answer: $5,000
Step-by-step explanation: First begin with the interest formula.
<em>Interest = Principal × Rate × Time </em>
In this problem, we're solving for the interest.
The <em>principal </em>is the amount invested or $2,500.
The <em>rate</em> is 8% which we can write as .08.
The <em>time</em> is 25 years.
So we have I = (2,500)(.08)(25).
Now we multiply.
(2,500)(.08) is equal to 200.
Now, multiply 200(25) to get 5,000.
This means that the interest earned is $5,000.