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2 years ago

one of the acute angles in a right triangle has a measure of 34.6 degrees. What is the measure of the other acute angle

Mathematics

1 answer:

iren [92.7K]2 years ago

4 0

Answer:

55.4

Step-by-step explanation:

The sum of the angles of a triangle is 180

If we have a right triangle, one angle is 90

The other two angles must add to 90 degrees

Let the unknown angle be x

34.6 + x = 90

Subtract 34.6 from each side

34.6+x-34.6 = 90-34.6

x =55.4

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Find the area and the circumference of a circle with radius 6 m.

Ratling [72]

Answer:

(a) 113.04m²

(b) 37.68m

Step-by-step explanation:

(a)

Area = πr²

=π(6)²

=36π

=113.04m²

(b)

Circumference = 2πr

2π(6) = 12π

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3 years ago

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What is the equation of the line that goes through (8,-2) and (0,14

Yuri [45]

Answer:

Step-by-step explanation:

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2 years ago

The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

2 years ago

Angle ABD is 90 what is the measure of ABC

Anarel [89]

Answer:

90 I am guessing. if it's like a square or rectangle

3 0

3 years ago

What should be multiplied with -25/36 to get -5/9

Ierofanga [76]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}$

6 0

2 years ago