The altitude of an isosceles triangle is sqrt (a^2 - b^2 / 4).
In the triangle ABC, sides AB and AC are equal (say a) and side BC = b. Let us consider the triangle ADC which is the right triangle in the isosceles triangle ABC, and by Pythagoras' theorem,
we get that the altitude AD of the isosceles triangle can be obtained:
AD ^ 2 = AC ^ 2 - (BC / 2) ^2
AD ^ 2 = (a ^ 2 - b ^ 2 / 4)
AD = sqrt (a ^ 2 - b ^ 2 / 4).
To know more about altitude:
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In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.
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.
Rewrite the expression with a rational (fraction) exponent:
7Vz
PLEASE HELP ASAP
Answer:
z^1/7
Step-by-step explanation:
trust me
What is the 100th term in the arithmetic sequence 3,19,...
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
what fraction has the greatest value?
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
STOP SCROLLING HELP ME PLSSSSSS!
Answer:
use proportions??
Step-by-step explanation:
i
d
k
h
o
w
t
o
do
this i am only in 5th grade yikes
HELP HELP HELP HELP LOOK AT PICTURE
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.
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
1. SOH CAH TOA
Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent
2. 24
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
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].
Find the first 5 terms.
Answer:
15/8
Step-by-step explanation:
Item 6 Find the perimeter of the figure. Round your answer to the nearest hundredth.
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.
f(x) = -2x^2 + 8x -1 Evaluate f(6)
Step-by-step explanation:
f(x) = 2x²+ 8x -1
f(6) = 2(6) + 8(6)-1
= 13 + 48 - 1
= 61-1
= 60.
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!
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!
(4,-1), (-5,9) midpoint
Step-by-step explanation:
(-1/2, 4)
how's this helps
Kosey needs to get 80% of his
questions correct on his math test
to get a B for the quarter. If his
test has 60 questions, how many
questions will he need to get right?
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
Round to the nearest tenth.
7.61577310586
Answer:
7.6
Step-by-step explanation:
1is less than 5 so let it rest
A biologist was studying a certain species of earthworm. She collected samples of 6 adults from 2 different populations and measured their lengths in centimeters. The data are shown below.
Sample 1: 26, 25, 27, 19, 24, 26
Sample 2: 24, 23, 24, 26, 25, 25
Compare the means and ranges of the data for the 2 samples. Use your comparison to conclude the samples. Show and explain your work.
CAN YOU EXPLAIN WHY ALSO CAN YOU DO THIS AS SOON AS POSSIBLE PLEASE AND THANK YOU?
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.
Write the equation of this graph.
7y+5y-3y= How would I simplify this?
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
help plzz I need an answer ASAP
will mark u as brainliest if the answer is valid
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
find the measure of each interior angle of a regular polygon with the following number of size 6
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]
Find the missing side of the triangle using Pythagorean theorem
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]
In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?
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].
What is Tangent (Tanθ)?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):
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Fill in the table using this function rule.
Y = -5x + 1
Answer:
55 or 53.
Step-by-step explanation:
Pls help i need it will give brainiest to best answer <33
Complete both and will give brainliest
Answer:
1)12 people voted
2)60mph
Step-by-step explanation:
Do you know the answer toPart 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 =
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
Find the coordinates of the point for the reflection.
(-8,5) across the x-axis
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)
What is transformation?
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
PLEASE HELP!!!! Also if your smart with math can you look at my other posts because I am still really confused and there is more than one question per question post thing... Anyways thank you so much but please don't just put a link..........
Answer:
i,m no smart sorry
Step-by-step explanation:
Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X
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
What is the slope of the line that passes through (-2,-2) and (3,-1)?
Answer:
+1/5
Step-by-step explanation: