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sveticcg [70]
4 years ago
13

W=? in centimeters please help.

Mathematics
1 answer:
iVinArrow [24]4 years ago
5 0

Answer:

w = 9 cm

Step-by-step explanation:

The figure shows two similar right triangles. Similar triangles have proportional corresponding sides.

Write a proportion between triangles' legs:

\dfrac{12}{12+4}=\dfrac{w}{12}\\ \\ \\\dfrac{12}{16}=\dfrac{w}{12}

Cross multiply:

16\cdot w=12\cdot 12\\ \\16w=144\\ \\w=\dfrac{144}{16}\\ \\w=9

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Evaluate (find the output or y value of) the following function for x=5.<br> y=3x2-8
Kobotan [32]
The answer for y is y= -2
3 0
3 years ago
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
LenKa [72]
We only need to find the heights of the 2 points on the flagpole and then subtract them. We have that AC and DC are related by the following trigonometric number: tan60=AC/DC. This is because ADC is a right triangle and AC is the opposite leg of the angle we know, while DC is the adjacent leg.
tan60= \sqrt{3} =AC/5 \sqrt{3} \\ AC=5  \sqrt{3} * \sqrt{3} =5*3=15.

Thus, we have calculated AC. The same remarks apply to the triangle BCD; However, now we get that tan30=BC/DC.
tan60= 1/\sqrt{3} =BC/5 \sqrt{3} \\ BC=5  \sqrt{3} / \sqrt{3} =5.


Hence, the height of point B is 5 feet, while the height of point A is 15 feet. Their distance is 10 feet.


5 0
3 years ago
Point C is the midpoint of AB.point A has coordinates (2,4)and point C has coordinates (5,0) what are the coordinates of point B
devlian [24]

Answer:

The coordinates of point B is (8,-4)

Step-by-step explanation:

Midpoint of a line segment: It is the point on the line segment that divides the segment in two congruent segments.

Since it is given that C is the midpoint of Line segment AB.

Mid-point of a segment of end points A(x_{1},y_{1}) and B(x_{2},y_{2}) is, C= (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}).

As, given the coordinates of A and C are (2,4) and (5,0)

then,  we have x_{1}=2 , y_{1}=4 ; \frac{x_{1}+x_{2}}{2}=5  and \frac{y_{1}+y_{2}}{2}=0

to find the coordinates of B(x_{2},y_{2}).

\frac{2+x_{2}}{2}=5

Simplify:

2+x_{2}=10

⇒ x_{2}=8

to solve for y_{2} we have, \frac{y_{1}+y_{2}}{2}=0

or y_{1}+y_{2}=0

or y_{2}= -y_{1}= -4

so, the values of x_{2}=8 and y_{2}=-4

Therefore, the coordinates of point B is (8,-4)




3 0
3 years ago
Find the measure of each angle listed below.
gogolik [260]

Answer:

<P 40, <Q 25, <PRQ 115, <PRS 65

Step-by-step explanation:

exteririor angle = sum of remote angles

(3x + 4) + (2x + 1) = (6x - 7)

3x + 2x + 4 + 1 = 6x - 7

5x + 5 = 6x - 7

<u>      +7          +7</u>

5x + 12 = 6x

<u>-5x         -5x</u>

12 = x

x = 12

find angle mesures:

3(12) + 4

36 + 4

40

2(12) + 1

24 + 1

25

6(12) - 7

72 - 7

65

forms linear pair

65 + m<PRQ = 180

-65                  -65

m<PRQ = 115

3 0
3 years ago
I need help with this question
Dafna1 [17]

Answer:

no haha

Step-by-step explanation:

5 0
2 years ago
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