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3 years ago

Can someone help me with this I'll give a crown thing please hurry!

Mathematics

1 answer:

gulaghasi [49]3 years ago

6 0

Answer:

1) 1: 107

2: 73

3: 107

4: 73

5: 107

6: 73

7: 107

8: 73

3) 1: 128

2: 52

3: 128

4: 52

5: 128

6: 52

7: 128

8: 52

Step-by-step explanation:

Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).
Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.

You might be interested in

How do you make an exponential equation with these two points: (1,2) and (0.5,4)

Over [174]

The required equation is y=8×( $( \frac{1}{2} )^{x}$

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = $ab^{x}$ where, A and B are any real number.

$\frac{x^{m} }{x^{n} } = x^{m-n}$

Now, the points satisfy the equation.

So,

2 = $ab^{1}$ ------- (1) and

4 = $ab^{0.5}$ ------ (2)

Now (1) ÷ (2) we get,

$\frac{ab }{ab^{0.5} }$ = $\frac{2}{4}$

or, $b^{0.5}$ = $\frac{1}{2}$

or, b = $\frac{1}{4}$ [ by squaring we get]

Now, from (1) we get,

2 = a× $\frac{1}{4}$

or, a = 8

Hence,

The equation is y=8×( $( \frac{1}{2} )^{x}$

4 0

3 years ago

A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz

damaskus [11]

Take a look at the attachment below. It may help!

With this sector we can create a proportion to find the area watered by the sprinkler. 85 degrees over a total 360 degrees would be simplified to the following -

17 / 72 = ( About ) 4.235

Thus, we can calculate the area of the circle with a range of 5 meters radius, and divide by about 4.235 to receive the area watered by the sprinkler, or the area of the sector -

$Area( Full Circle ) = \pi r^2,\\Area( Full Circle ) = \pi * ( 5 )^2,\\Area( Full Circle ) = 25\pi,\\\\Area( Full Circle ) = ( About ) 78.5$