Mathematics, 06.12.2019 16:31 marcoantonioperezpan

The solution to tan 34' 15'=x/12 is a linear measurement.

true or false?

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Answer from: sarahgrindstaff123

True.

Step-by-step explanation:

Linear measurement : It is defined as the measurement of length.It also measure thickness, height and diameter. It is can be measured in meter, inches, centimeter, feet etc.

We are given that

$tan 34'15''=\frac{x}{12}$

$tan\theta=\frac{perpendicular}{base}$

Therefore, height of triangle =x, base of triangle= 12 units

We change 15 seconds into minutes

1 minute =60 seconds

$\therefore 15 seconds=\frac{15}{60}=\frac{1}{4} minutes$

Now add 34' to $\frac{1}{4}$ minutes then we get

$34+\frac{1}{4}=\frac{136+1}{4}=\frac{137}{4} minutes$

Now , we changing minutes into degree

1 degree= 60 minutes

Therefore , $\frac{137}{4} minutes = \frac{137}{240}=0.5708 degrees$

$tan(0.5708^{\circ})=\frac{x}{12}$

$0.00996=\frac{x}{12}$

$x=12\times 0.00996=0.11952=0.1195$

By cross multiply

x=0.1195 units

Height =x=0.1195 units

It is linear measurement.

Therefore, it is true.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

What is the value of x to the nearest tenth ? answers choices 12.9 11.2 0.1

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