Ask question

Ask question

All categories

3 years ago

11

A triangle has one angle that measures 24 degrees, one angle that measures 90 degrees, and another angle that measures 66 degree

s. What kind of triangle is it?

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

It is a right triangle. If it contains the 90°, it is definitely a right triangle.

OLEGan [10]3 years ago

3 0

Answer:

its a right triangle

Step-by-step explanation:

You might be interested in

Which expression is equivalent to n + n - 0.18n

Rudiy27

Answer:

1.82n

Step-by-step explanation:

We combine like terms to simplify this.

Any variable with no other coefficient can be written with a coefficient of 1. This is because everything can be multiplied by 1 without changing it. This means we have

1n + 1n - 0.18n

Combining like terms, we have

2n - 0.18n = 1.82n

4 0

3 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ

hodyreva [135]

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3 2 + (-2)

-------------- , ----------------

2 2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

6 0

1 year ago

How much material is required to make a pipe that is 300 cm long whose outer diameter is 8 cm with an inner diameter of 5 cm? Sh

worty [1.4K]

Answer:

Step-by-step explanation:

If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).

$V_o-V_i$ That's volume outer - volume inner. To find the outer volume:

$V=\pi r^2h$ so

$V_o=\pi (4^2)(300)$ and

$V_o=4800\pi$ and do the same for the inner volume:

$V_i=\pi (2.5^2)(300)$ and

$V_i=1875\pi$

Subtract the inner from the outer:

$4800\pi-1875\pi=2925\pi cm^3$

If you need your answer in decimal form, then the volume is

9189.16 cm³

4 0

2 years ago

Find the sine of angle S. Reduce the answer to the lowest terms.

NeX [460]

Answer:

$\sin e\text{ S = }\frac{3}{5}$

Explanation:

Here, we want to get the value of sine S

The sine of an angle is the ratio of the opposite side to the hypotenuse side

The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10

The opposite is the side that faces the angle which is 6

We have the sine as:

$\frac{6}{10}\text{ = }\frac{3}{5}$

8 0

8 months ago