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Svetllana [295]

2 years ago

10

The adjacent sides of a right angle triangle are 5cm and 12cm respectively . calculate the smallest angle of the triangle. How t

o solve it.

1 answer:

lys-0071 [83]2 years ago

5 0

Answer:

22.6 degrees

Step:

The hypotenuse is 13cm using pythagoras theorem.

Now, finding the smallest angle is by using;

SOH

sin = opposite over hypotenuse

Thus, cos^-1 (12/13)

=22.61

and equals to 22.6 (1d.p）

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Write an equation in slope-intercept form tha is parallel to y=4x-2 and has a y-intercept of -2

alexgriva [62]

Answer:

y = 4x - 2

Step-by-step explanation:

Formula: y = mx + b

Parallel means same slope as original and b is -2.

7 0

3 years ago

11. A ranger in a lookout tower spots two fires on the campground below. Fire Als 75 meters east

iogann1982 [59]

Answer:

The fire hydrant = 9 meters west and south of the tower = 58 m

Step-by-step explanation:

The coordinate as the origin includes the Fire A and Fire B

Given that

Fire A is 75 meters east and south of the tower is 40 meters

So, it is presented (75,-40)

And, the fire B is 37 west and south of the tower is 64 meters

So, it is presented (-37,-64)

Now at a point O (x,y) divides AB a line segment as A(x_1, y_1) and B(x_2, y_2)

So,

$x = \frac{n}{n+m} (x_2 - x_1) + x_1\\\\y = \frac{n}{n+m} (y_2 - y_1) + y_1$

Now it divides in three-fourth

So,

$x = \frac{n}{n+m} (x_2 - x_1) + x_1\\\\= \frac{3}{4} (-37-75) + 75\\\\= \frac{3}{4} (-112) + 75\\\\= -84 + 75\\\\= -9$

$y = \frac{n}{n+m} (y_2 - y_1) + x_1\\\\= \frac{3}{4} (-64-(-40)) + (-40)\\\\= \frac{3}{4} (-18) -40\\\\= -18-40\\\\= -58$

Hence, these two are to be considered

7 0

4 years ago

One afternoon in January, the temperature outside was -4*F. By midnight, the temperature had dropped by 10*F. what was the tempe

Drupady [299]

The temperature dropped meaning it got lower. Subtract the amount of the drop from the starting temperature:

-4 - 10 = -14

The temperature was -14

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3 years ago

931 is what percent of 980

Snowcat [4.5K]

Answer:

95%

Step-by-step explanation:

95% *980 =931

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3 years ago

Q={1,3,6,9,10,15} then rewrite in set builder method

AfilCa [17]

Answer:

{x:x is a multiple of 3, x ≤ 15}

4 0

2 years ago