Answer:
<em>HT </em>= 17
<<em>T</em> = 62°
<<em>H</em> = 28°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find the length of the missing side.
a² + b² = c²
15² + 8² = c²
225 + 64 = c²
289 = c²
√289 = c
c = 17
The length of side HT is 17.
2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.
Tangent =
=
= 1.875
Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>
tan⁻¹(1.875) = 61.9°
<<em>T = </em>62°
3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.
90° + 61.9° + x = 180°
151.9° + x = 180°
x = 28°
or
We know two sides: opposite (8) and adjacent (15). So, we will use tangent.
Tangent =
=
= 0.5333333333
Take the tan⁻¹ to get the measure of <<em>H.</em>
tan⁻¹(0.5333333333) = 28.07 = 28°
Hope this helps. Please give a thanks and mark as brainliest. :)
Answer:
6543/100
Step-by-step explanation:
Multiply both numerator and denominator by 10 for every number after the decimal point
65.43 × 100
1 × 100
=
6543
100
Answer:
140
Step-by-step explanation:
We have been given two fractions
and
. We are asked to find the least common denominator of both fractions.
To find the least common denominator of both fractions, we will find least common multiple of 20 and 28.
Prime factorization of 20: 
Prime factorization of 28: 
Least common multiple of 20 and 28 would be:
.
Therefore, the least common denominator of both fractions would be 140.
Answer:
The answer to your question is below
Step-by-step explanation:
Functions
f(x) = 12x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
f⁻¹(-2) = -4
b) f(-4) = 12x
f(-4) = 12(-4)
f(-4) = -48
c) f(f⁻¹(-2)) =
f(f⁻¹(x)) = 12(2x) = 24x
f(f⁻¹(-2)) = 24(-2) = -48
I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
= -4
b) f(-4) = 1/2(-4)
= -2
c) f(f⁻¹(x)) = 1/2(2x)
= x
f(f⁻¹(-2)) = -2