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Law Incorporation [45]
3 years ago
5

The measure of one of the acute angles in right triangle is 56.what is the measure of the other acute angle

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Answer: 54 degrees


Step-by-step explanation:

right triangle so a degree has to be 90

90+56=146

180-146=54

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A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 de
zloy xaker [14]

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = \frac{1}{0.6}

Using the tangent on the building:

tan(θ) = \frac{h}{25}

⇒ h = 25 · tan(θ)

       = 25 · \frac{1}{0.6}

⇒ h = 41.66... ≈ 41.67

8 0
3 years ago
Find the center and radius of this circle x^2+y^2-6x-10y+30=0
Vsevolod [243]

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

5 0
3 years ago
If x equals 8 -(-2.25) and y equals 6-4.2-(-4.9) what is the value of x-y
slamgirl [31]

Answer:

x = 10.25

y = 6.7

Step-by-step explanation:

X = 8 - (-2.25) = 10.25

Y = 6 - 4.2 - (-4.9) = 6.7

8 0
3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
grandymaker [24]

Answer:

i) D: All real numbers

ii) R: y\le5

iii) Y-int: b=2

Step-by-step explanation:

i) The given absolute value function is

y=-|x+3|+5

The domain is all values of x that makes the function defined.

The absolute value function is defined for all values of x.

The domain is all real numbers.

ii) The given function is y=-|x+3|+5

The function has vertex (-3,5).

The function is reflected in the x-axis.

This means the vertex is the maximum point on the graph of the function.

The maximum y-value is 5.

The range is therefore y\le 5 or (-\infty,5]

iii) To find the y-intercept, put x=0 into the function.

y=-|0+3|+5

y=-|3|+5

y=-3+5

y=2

The y-intercept is (0,2) or b=2

See attachment for graph.

6 0
3 years ago
K-4/3=3<br>please answer my question​
Makovka662 [10]

Answer:

13/3

Step-by-step explanation:

k - 4/3 = 3

k = 3 + 4/3

k = 13/3

4 0
3 years ago
Read 2 more answers
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