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3 years ago

What is 97.68 - 32.3 equal

Mathematics

2 answers:

laiz [17]3 years ago

6 0

The answer to your problem is 65.38

babunello [35]3 years ago

5 0

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How to write 1/4 as a decimal number.

Sveta_85 [38]

Answer:

0.25

Step-by-step explanation:

1 divided by 4

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2 years ago

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Please help A.S.A.P. What possible transforms are shown below? (Choose at least one.)

n200080 [17]

3 reflection of y axis

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3 years ago

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The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

$Hypotenuse^2=Base^2+Perpendicular^2$

$(40)^2=(8)^2+(h)^2$

$1600=64+h^2$

$1600-64=h^2$

$1536=h^2$

Taking square root on both sides.

$\pm \sqrt{1536}=h$

$\pm 39.1918358=h$

Height cannot be negative. Round to the nearest foot.

$h\approx 39$

Therefore, the height of the ladder on the wall is 39 foot.

5 0

3 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

Which statements about the graph of the function y=(1/3)

Elena-2011 [213]

Answer: The range of the function is all real numbers is true.

Explanation: the graph of y = 1/3 is just a horizontal line at y = 1/3. so it’s not increasing or decreasing (it’s staying the same). there is no x-intercept, and the y-intercept is (0, 1/3). the range is all the possible y values, and there are infinite possible y values, so it is all real numbers.

hope this helps!

8 0

3 years ago