All categories

3 years ago

The diameter of a reamed hole is 70.36 mm. What is the radius setting, in mm., used to draw the hole?

Mathematics

1 answer:

Natalija [7]3 years ago

6 0

Answer:

r = 35.18 mm

Step-by-step explanation:

We have,

The diameter of a reamed hole is 70.36 mm.

It is required to find the radius required to draw the hole.

The relation between diameter and radius is given by :

D = 2r

r is radius setting

$r=\dfrac{D}{2}\\\\r=\dfrac{70.36 }{2}\\\\r=35.18\ mm$

So, the radius setting used to draw the hole is 35.18 mm.

You might be interested in

A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.

laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

4 0

3 years ago

Find the nth term of this quadratic sequence 3 8 15 24

olga2289 [7]

Answer:

Step-by-step explanation:

A quadratic sequence is a form. of mathematical progression of numbers in which the subsequent differences between each consecutive term differ by the exact amount. This is known as the common second difference.

Hence in this case,

we have

S= 3+8+15+24+…..+Tn - 1.

S=. 3+8+15+……………..Tn-1 + Tn

Deducting 2nd series from the first

We have 0=3+5+7+…….Tn

Hence, we have Tn= n (n+2)

= 24 (9+2)

= 24 + 11

= 35

6 0

3 years ago

Which expression is equivalent to 2(7b + 5)?

DENIUS [597]

2(7b + 5) will equal to 14b+10

Explanation:

2 times 7b= 14b

2 times 5= 10

4 0

3 years ago

Find the perimeter RST. Round answer to the nearest tenth<br> Show all the work

kow [346]

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS= $\sqrt{45}$ ≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT= $\sqrt{225}$ = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS= $\sqrt{180}$ ≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

6 0

3 years ago

Can anyone help me with this. please

zvonat [6]

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

7^2+KL^2=25^2

49+KL^2=625

KL^2=625-49

KL= $\sqrt{576$

KL=24

take M as reference angle

using tan rule

tan M=/opposite/adjacent

tan M=KL/ML

tan M=24/7

5 0

3 years ago