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loris [4]
2 years ago
6

Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm​

Mathematics
1 answer:
Inessa05 [86]2 years ago
8 0

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

c^{2} =a^{2} + b^{2}

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\

b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\

And so b ≈ 11.66190

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
3 years ago
janine bought a portable CD player for $75. if the sales tax is 5%,what is the total cost of the CD player​
Marina CMI [18]

Answer

78.75

Step-by-step explanation:

75.00 × 0.05

= 78.75

3 0
3 years ago
Can someone explain how to do these. Also on number 2, how do u find the ratio ?
KIM [24]

9514 1404 393

Answer:

  2. D

  3. B

  4. D

  5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

  soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

__

3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

__

4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

__

5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

_____

* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

  84 / 36 = 2 r 12

  36 / 12 = 3 r 0 . . . . . 12 is the GCF

4 0
3 years ago
Who is correct chris or sam
Advocard [28]
Lacey, because you have to do the opposite when you want to get rid of a number. She subtracted 20 because it was originally positive 20. Chris messed up and did not do the opposite, subtraction, and instead he added 20
4 0
2 years ago
Read 2 more answers
PLEASE HELP (algebra 1)
padilas [110]
A) 6(4)^1-6(4)^0 = 24-6 = 18
    6(4)^3-6(4)^2 = 384-96 = 288
b) It is 27.11 times difference. This is because g(x) is an exponential function and so as x increases, g(x) increases faster.
6 0
3 years ago
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