Angle <QAB is =15° because the opposite angles of an isosceles triangle are equal.
The length of the straight line AB = 80cm
<h3>Calculation of angle of a triangle</h3>
The angle at a point = 360°
Angle AQB= 360 - 210° = 150
But the angle that makes up a triangle= 180°
180-150= 30°
But <QAB = <QBA because triangle AQB is an isosceles triangle.
30/2 = 15°
To calculate the length of the straight line the following is carried out using the sine laws.
a/ sina, = b sinb
a= 8cm, sin a { sin 15)
b= ? , sin B = 150
make b the subject formula;
8/sin15= b/sin 150
b= 8 × sin 150/sin 15
b= 80cm
Learn more about isosceles triangle here:
brainly.com/question/25812711
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Answer:
.
Step-by-step explanation:
We have been an division problem:
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents
we can write:


Substituting these values in our division problem we will get,

Using power rule of exponents
we will get,


Using product rule of exponents
we will get,


Using power rule of exponents
we will get,



Using quotient rule of exponent
we will get,


Therefore, our resulting quotient will be
.
the numbers are 3 and 18
let the first number be n then the second number = 6n and the sum
sum = n + 6n = 21 thus
7n = 21
divide both sides of the equation by 7
n =
= 3
the numbers are 3 and 6 × 3 = 18 → (3 + 18 = 21)
Step 2 is wrong: 4x - x = 5x
X = -11 is the actual answer, pretty sure.
Hope this helps and please mark as brainliest. If you have any other doubts, feel free to ask.
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>