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Jet001 [13]
3 years ago
14

The legs of a right triangle measure 6 inches and 9 inches. If is the angle between the 6-inch leg and the hypotenuse, sin = ___

__.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0
First find the length of the hypotenuse using pythagorean theorem
<span>c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c=8 (take the square root in both sides)
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625</span>
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Help please not sure of this one
shutvik [7]

Answer:

True, A

Step-by-step explanation:

If you sum two different sides of a traingle it must be greater than the remaining one

We can test that by adding the two smallest sides

1+8=9

9 is obviously greater than 8, so the answer is: true

8 0
3 years ago
Read 2 more answers
Solve<br> 5(2x-y) = 7x + 1 <br> 3(3x+y) = 5(x-y+12)<br> using the elimination method<br> thanks!
MaRussiya [10]

Answer:

{x = 7 , y = 4

Step-by-step explanation using elimination:

Solve the following system:

{5 (2 x - y) = 7 x + 1 | (equation 1)

{3 (3 x + y) = 5 (12 + x - y) | (equation 2)

Express the system in standard form:

{3 x - 5 y = 1 | (equation 1)

{4 x + 8 y = 60 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 8 y = 60 | (equation 1)

{3 x - 5 y = 1 | (equation 2)

Subtract 3/4 × (equation 1) from equation 2:

{4 x + 8 y = 60 | (equation 1)

{0 x - 11 y = -44 | (equation 2)

Divide equation 1 by 4:

{x + 2 y = 15 | (equation 1)

{0 x - 11 y = -44 | (equation 2)

Divide equation 2 by -11:

{x + 2 y = 15 | (equation 1)

{0 x+y = 4 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{x+0 y = 7 | (equation 1)

{0 x+y = 4 | (equation 2)

Collect results:

Answer:  {x = 7 , y = 4

8 0
3 years ago
Read 2 more answers
a metalworker has meal alloy that is 15% copper and another alloy that is 60% copper. how many kilograms of each alloy should th
iragen [17]
Let L be the low copper alloy and H be the high copper alloy.
We need 0.15L + 0.60H = 0.42 and L + H = 100

L=100 - H
Substituting this into the second equation for L, we get:
0.15(100-H) + 0.60H = 0.42(H+L)
15 - 0.15H + 0.60H = 0.42(H+100-H)
15 + 0.45H = 0.42(100)
0.45H = 42 - 15 = 27
H = 27/.45 = 60 lbs

Back substitution, L = 40 lbs.
4 0
3 years ago
Use distributive property to simplify -7 (- 4x + 8 )
ddd [48]

Answer:

you answer is going to be 17

Step-by-step explanation:

8 0
3 years ago
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Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?​
quester [9]

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

3 0
2 years ago
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