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Mashutka [201]
3 years ago
6

if the cos of angle x is 8/17 and the triangle was dilated to be two times as bog as the original, what would be the value of th

e cos of x the dilated triangle?
Mathematics
1 answer:
snow_lady [41]3 years ago
4 0
Dilation alters the length of the sides of a triangle but the angles remain the same 
So cos x will still be 8/17
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Solve for x ???????????
Aleks04 [339]
Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)?  The angle is 21 degrees.

This is a perfect application of the tangent function:

tan 21 deg = opp / adj = opp / 22 = x / 22

tan 21 deg = 0.384                             so x would be 22 tan 21 deg, or
                                                                x = 22*(0.384)
                                                                   = 8.45  (answer)
6 0
3 years ago
If given the volume of a cylinder, how would you find the volume of a sphere that has the same radius measure.
Digiron [165]

Answer:

 The radius of a sphere hides inside its absolute roundness. A sphere's radius is the length from the sphere's center to any point on its surface. The radius is an identifying trait, and from it other measurements of the sphere can be calculated, including its circumference, surface area and volume. The formula to determine the volume of a sphere is 4/3π multiplied by r, the radius, cubed, where π, or pi, is a non terminating and non repeating mathematical constant commonly rounded off to 3.1416. Since we know the volume, we can plug in the other numbers to solve for the radius, r.

  • Multiply the volume by 3. For example, suppose the volume of the sphere is 100 cubic units. Multiplying that amount by 3 equals 300.
  • Divide this figure by 4π. In this example, dividing 300 by 4π gives a quotient of 23.873.
  • Calculate the cube root of that number. For this example, the cube root of 23.873 equals 2.879. The radius is 2.879 units.
7 0
3 years ago
Can u guy give me the AWNSER for number 3 or which ever on u know the Awnser to plz
FinnZ [79.3K]
3. Three and four tenths. 3+0.4=3.4
4. Two and fifty-one hundredths. 2+0.51=2.51
5. 8/10
6. 0.05
7. 46/100
8. 0.6
9. 9/10
10. 0.35

1 and 2 are correct btw
3 0
3 years ago
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
Sladkaya [172]

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

3 0
3 years ago
Read 2 more answers
How many equivalence relations are there on the set 1, 2, 3]?
Alex787 [66]

Answer:

We need to find how many number of equivalence relations are on the set {1,2,3}

A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

1.For reflexive, it must contain (1,1),(2,2),(3,3)

2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

6 0
3 years ago
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