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Romashka [77]
3 years ago
15

A 1,152-foot tree has grown at a constant rate each year. In the equation below, t is the age of the tree in years. 24t = 1,152

Mathematics
1 answer:
Artemon [7]3 years ago
8 0

if you need to know the years divide 1152 by 24

t = 1152/24 = 48 years

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HELP ME ASAP PLEASE!!
Daniel [21]

Answer:

set both of them equal to each other:

8x - 8° = 5x + 25°

subtract 5x by both sides of the equations and it becomes:

3x-8° = 25°

now add 8° both sides:

3x = 33°

divide three by both sides:

x = 11°

now thats done to find B:

plug your x value in the B equation:

5x + 25°

5(11) +25°

55 +25°

not sure if you can add here sorry :(. I hope this helped so far :)

5 0
3 years ago
Work out the area of the rectangle us a calculator giving your answer in mixed numbers 5 1/6cm 2 2/7cm?
Semmy [17]
The answer is going to be  11 17/21. hope that helped 


8 0
3 years ago
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How would u find the answer to # 10?
RideAnS [48]
Mabye try making the triangle a right triangle and use SohCahToa (sin, cos, tan) to figure out each angle?
7 0
3 years ago
Simplify.<br><br> 7/8+(−2/3) divided by <br> 5/6
Sedaia [141]
7/8+(−2/3) divided by 5/6

(7/8 - 2/3)/(5/6)
=(21/24 - 16/24) / (5/6)
= (5/24)  /  (5/6)
= 5/24 * 6/5
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7 0
3 years ago
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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
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