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Solnce55 [7]
2 years ago
5

Assessment started: undefined.

Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0
(7,0)……………………………..!!!!!
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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
In a southern statek, it was revealed that 5% of all automobiles in the state did not pass inspection. of the next ten automobil
lbvjy [14]
Well it’s simple just do this
4 0
3 years ago
Simplify: 6 × 9 ÷ 3 − 4 × 5 ÷ 2 <br> A) 4 <br> B) 8 <br> C) 10 <br> D) 11
Valentin [98]

Answer:

b)8

is the answer it's was helpful to you

3 0
3 years ago
A college has buildings numbered from 1 through 60. What is the probability that a student will have their first class in a buil
Deffense [45]
Multiples of 8 through 60 are 8, 16, 24, 32, 40, 48 and 56
No. of favorable outcomes= 7
Thus, P(E)=7/60
6 0
2 years ago
A recipe calls for 3 cups of flour, 2 cups of sugar and 1 cup of milk. Mason is going to use 7 cups of sugars instead. how much
AlexFokin [52]

Answer:

We need to make a conversion for the new recipe. If the regular recipe calls for 2 cups of Sugar, we can make a conversion for the new recipe.

Step-by-step explanation:

Conversion- 2:7= 1:4  (sugar)

2:7 (sugar)

3: x (flour)

1: y (milk)

X= 8 (flour)

Y= 6 (milk)

NEW RECIPE:

3.5 cups of milk

10.5 cups of flour

7 cups Sugar

We found this by seeing the new recipe adds 5 more cups with the original amount :)

5 0
3 years ago
Read 2 more answers
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