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ad-work [718]
3 years ago
12

Alex is thingking of a doubles fact. The sum is greater than the sum of 7 + 7 but less than the sum of 8 + 9. What fact is alex

thingking of?
Mathematics
1 answer:
Natali [406]3 years ago
5 0
7+7=14
8+9=17
The closest With a double is 8+8=16
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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
larisa [96]

Answer:

r\geq -18

Step-by-step explanation:

\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}

Hope this helps!

5 0
3 years ago
True or False
3241004551 [841]
True the circle is a congruent to the radius of an inscribed regular polygon inside the circle
4 0
3 years ago
Read 2 more answers
Question 5
ladessa [460]

Answer:

C is correct

Step-by-step explanation: c is correct great job

7 0
2 years ago
The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n
Leona [35]

Answer: 17 -3n

Explanation:

In the given arithmetic progression 20,17,14,11,8....

first term that is a = 20

common difference that  is d=  a2-a1 = 17-20 = -3

let n is the nth term

a_{n} = a+(n-1)d

substituting the values of first, common,difference and n

a_{n} =20+(n-1) (-3)

                        = 20 -3n+3

                         =23 -3n

6 0
3 years ago
Read 3 more answers
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