How do you find the length of an altitude of an isosceles triangle?

Answer:

+1/5

Step-by-step explanation:

Answer:

i,m no smart sorry

Step-by-step explanation:

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

We know that,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

Using the trigonometric ratios, we get

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Hence, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30

⇒50% of 60 = 30

Part D :

75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45

⇒75% of 60 = 45

Part E :

75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85

⇒50% of 45.7 = 22.85

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Answer:

1)12 people voted

2)60mph

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest

Answer:

I think the answer is 7x+ 6a

Step-by-step explanation:

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)

3 (-6x) + 5 (1a) -2 (6x)

3x + 6a + 4x

= 7x+ 6a answer!

Answer:

z^1/7

Step-by-step explanation:

trust me

Answer:

(-8, -5)

Step-by-step explanation:

If (-8, 5) is reflected across the x-axis, the x-coordinate stays the same (-8), but the y coordinate becomes -5.  Hence the coordinates of the reflection are (-8, -5).

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

Find out more on transformation at: https://brainly.com/question/4289712

Answer:8/15

Step-by-step explanation:

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]

Further, the sides can be written as,

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]

Now, the Tan(∠H) can be written as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

Substituting the value for the ∠H in ΔHJG,

[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]

As the ratio is already known, therefore,

[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]

Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]

Answer:

use proportions??

Step-by-step explanation:

i

d

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h

o

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do

this i am only in 5th grade yikes

Answer:

48 questions

Step-by-step explanation:

There are 60 questions on the test

to see how many questions he needs to solve to get 80% we multiply 60 with 80 and divide it by 100

60 x 80 ÷ 100 = 48

Step-by-step explanation:

f(x) = 2x²+ 8x -1

f(6) = 2(6) + 8(6)-1

= 13 + 48 - 1

= 61-1

= 60.

Answer:

x = 13

Step-by-step explanation:

When we say side AB is congruent to Side AC it means both side are the same.

This is written Mathematically as:

AB = AC

We are asked to find x

angle B = 5x +9 , angle C = 8x-30

5x + 9 = 8x - 30

Collect like terms

9 + 30 = 8x - 5x

8x - 5x = 30 + 9

3x = 39

Divide both sides by 3

x = 39/3

x = 13

Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong

Answer:

15/8

Step-by-step explanation:

Answer:

D) [tex]8\sqrt{3}[/tex]

Step-by-step explanation:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

[tex]\sqrt{x^2} =\sqrt{92} \\x=8\sqrt{3}[/tex]

Answer:

A + B + C + D = 52.35

Step-by-step explanation:

Here, we want to get the sum of A, B , C and D

from the question, s represents the number of small candies

L represents the number of large candies

Let us start with the cost;

small candies cost 10 cents; that is same as 10/100 = $0.1

large candies cost 25 cents, that is same as 25/100 = $0.25

so therefore, A is 0.1 and B is 0.25

C and D represents the total number of candies bought and that is 52

So, the sum of A, B , C and D is ;

0.25 + 0.1 + 52 = 52.35

Answer:

It’s 2.5 minutes per mile

Step-by-step explanation:

Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.

Answer:

Calculating the means:

Sum each length from each sample and divide it by the number of worms.

Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5

Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5

They each have the same sample mean.

Ranges: Take the largest length and subtract the smallest.

Sample 1: 27 - 19 = 8

Sample 2: 26 - 23 = 3

Sample 1 has a greater range.

Answer:

55 or 53.

Step-by-step explanation:

Answer:

a=3

d=19-3=16

recall that:Tn=a+(n-1)d

T100=3+(100-1)16

=3+99×16

=3+1584

=1587

Therefore T100=1587

Answer:

1. SOH CAH TOA

Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent

2. 24

Step-by-step explanation:

(-1/2, 4)

how's this helps

Answer:

PROBABLY ABOUT 27 OR 26.6666666667

Answer:

Ben's Score = 60

Sam's Score = 20

Step-by-step explanation:

60 + 20 = 80

I really don't know how to explain this.

Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation: 1 whole would be 6/6 and 5/6 is very close to 1 whole