THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC?
Answers
========================================================
Explanation:
For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.
Use the pythagorean theorem to find that...
(AD)^2 + (BD)^2 = (AB)^2
(1)^2 + (BD)^2 = (3)^2
1 + (BD)^2 = 9
(BD)^2 = 9-1
(BD)^2 = 8
Normally we would isolate BD itself, but I'll stop short and use that last line instead.
------------------
The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).
Since we have similar triangles, we can form the proportion shown below
AD/BD = BD/CD
This cross multiplies to
AD*CD = (BD)^2
We know that AD = 1 and (BD)^2 = 8, so,
AD*CD = (BD)^2
1*CD = 8
CD = 8
This then means,
x = CD+DA
x = 8+1
x = 9
AC is 9 units long.
Related Questions
In right triangle ABC shown below, what is the degree measure of ∠C ?
Answers
Answer:
No solution is posible
Step-by-step explanation:
You failed to show triangle ABC
Therefor this cannot be answered.
analee wants to buy a flute that costs $240 she has saved $20 each week for 3 weeks how many more weeks does analee need to save money if she continues to save $20 each week
Answers
Answer:
9
Step-by-step explanation:
240/20=12
That mean's takes 12 weeks in total.
But, 3 weeks was already done.
So, you do 12 -3.
Which equals 9.
So, the answer is 9.
Please give me brainiest!!!
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Answers
Answer:
the area is 50.27 and the circumference is 25.13
Step-by-step explanation:
pie x r^2=radius and 2 x pie x r = circumference plug the radius in both and you get your answers
Hope this helps :D
Daniel is creating a rectangular garden in his back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least 58 feet and no more than 66 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answers
Answer:
15 ≤ w ≤ 19
Step-by-step explanation:
Given that :
Length of garden = 14 feets
Perimeter must be atleast 58 but no more than 66
The range of value for the width ;
Perimeter = 2 length + 2 width
Perimeter = 2(14) + 2w
If perimeter = 58
58 = 28 + 2w
58 - 28 = 2w
30 /2 = w
w = 15
If perimeter = 66
66 = 28 + 2w
66 - 28 = 2w
38 = 2w
w = 38 / 2
w = 19
Range of the width should be atleast 15 and not more Than 19
Hence,
15 ≤ w ≤ 19
∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 55^\circ55 ∘ 55, degrees. What is the measure of \angle b∠bangle, b? \Large{^\circ} ∘
Answers
Answer:
35
Step-by-step explanation:
Cause they both add up to a right angle which is 90 degrees. so 90-55=35
∠angle, a and ∠angle, b are complementary angles. ∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees. so we can conclude that ∠b = 35.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
∠angle, a and ∠angle, b are complementary angles.
∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees.
we want to measure ∠ b
We know that the sum of Complementary angles is equal to 90 degrees.
so to find the measure of angle B we subtract the given angle from 90
∠ b + ∠ a = 90
∠ b + 55 = 90
∠ b = 90-55
∠ b =35
so we can conclude that ∠b = 35.
Learn more about the triangles;
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PLEASE HELPP
64, 16, 4, 1 converging or diverging
Answers
Answer:
The series 64, 16, 4, 1 is convergent.
Step-by-step explanation:
Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:
[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)
If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:
[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]
Hence, the series 64, 16, 4, 1 is convergent.
a circular tabletop has a diameter of 2.1 m. what is its area
Answers
Which is equal to 6-45?
Answers
Answer:
-39
Step-by-step explanation:
Please give me brainliest.
Answer:
-39
Step-by-step explanation:
6-45
A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.
determine the equation of the circle graphed below.
( please help me )
Answers
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = [tex]\sqrt{(6-3)^2+(-4+5)^2}[/tex]
= [tex]\sqrt{3^2+1^2}[/tex]
= [tex]\sqrt{9+1}[/tex]
= [tex]\sqrt{10}[/tex] ⇒ r² = ([tex]\sqrt{10}[/tex] )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
4. Komal sells five cups of hot chocolate for R30.
She writes the record of her sales in the equation 5x = 30.
If x is the cost of each cup of hot chocolate, at what price did
Komal sell each cup?
Answers
Answer:
R6 for each cup
Step-by-step explanation:
5x=30
Divide 5 from both sides
5x/5=30/5
x=6
Hope this helps
Rina added 5/6 of a bag of soil to her garden,Her neigboir Jessa Added 1 1/8 bags of soil to her garden,How much more soil did jessa add than rina?
Answers
soil than ribs
Nathan has a $75 budget to rent a car for a day. The daily rental charge is $29.50 and then he will also have to pay $0.55 per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles )
A- 25 miles
B- 83 miles
C- 82 miles
D- 136 miles
Answers
Answer:
82
Step-by-step explanation:
82x.55=45.10
45.10+29.50=74.60
Three friends go out for pizza. A slice costs $3.75 a soda costs $2.25. If they each get a soda and a total of 8 slices, how much did they spend altogether
Answers
3.75x 8 = 30
2.25x3= 6.75
6.75+30=36.75
which choice best describes the part of the graph from x=-2 to x=0
Answers
Answer:
c
Step-by-step explanation:
linear and decreasing
it has negative gradient and it is straight line
an article which cost money 150 was sold at a loss of 5%.what was the selling price?
Answers
Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
Marking brainliest
What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!
Answers
Which of the following rational functions is graphed below?
Answers
Answer:
"C" has to be the answer...
there is a vertical asymptote at -5
thus you need a denominator that is zero at -5
plug in -5 into the equations only "C" ends up with a zero in the denominator at that point
Step-by-step explanation:
INEQUIDAD SALARIAL Este es el ingreso mensual que se percibe por género en su primer empleo: 16 Menos de 100 12 20 Entre 1500 3.000 Entus 200 000 14 BODOyt,000 23 ade 15.00 8 10 103 20 30 35 40 FTNINA Fuente Exacoldcarea colmate y UV Professor ACTIVIDAD Contesta las siguientes preguntas planteadas con referente a la grafica. 1. ¿Qué Informacion presenta la grafica anterior? el bove e una mu queue percibe por ponere en 20 2. ¿Cual es el ingreso que una mujer percibe en su primer empleo y que pocas mujeres lo consiguen? 31 OCHS MATEMATICAS 30 TRIMESTRE 111 3. ¿Cuál es el ingreso que un hombre percibe en su primer trabajo y que muy pocos lo consiguen? 4. ¿Cuál es el ingreso de un hombre y una mujer que percibe en su primer trabajo y es donde mas mujeres y hombres hay? 5. Calcula la media de esos datos. 6. Calcula el Rango de esos datos 7.- ¿Cuál es la mediana de esos datos? 8.2Cuál es la Moda de esos datos? ACTIVIDAD: Resuelve el siguiente problema:
Answers
Answer:
udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh
Step-by-step explanation:
guhfr fuhuhdf bfhuyvvhd ui hty
Help me pleaseeeeeeeee
if (x) = 5x-2 and g(x)= 2x+1, find (f+g)(x)
A 3x-1
B. 4-3
C. 7x-3
D. 7x-1
Answers
Answer:
D. 7x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 5x - 2
g(x) = 2x + 1
Step 2: Find
Substitute in functions: (f + g)(x) = 5x - 2 + 2x + 1Combine like terms: (f + g)(x) = 7x - 1I know how do it but the fraction is confusing me please help will give branliest
Answers
Replace x and y in the equation with what they tell you x and y equal.
2(14) / 13 - 9(1/3)
Now simplify:
2 x 14 = 28
9 x 1/3 = 3
You now have:
28/13-3
Simplify again to het 28/10 this can be reduced to 14/5
Please please help me
Answers
Answer:
49
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answers
Answer:
9×10^3
Step-by-step explanation:
9×10^3=9000
................
Answer:
Step-by-step explanation:
Which point is located on ray PQ−→−? A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints. point M point M point N point N point O point O point R
Answers
Answer:
R and S
Step-by-step explanation:
Given
See attachment for plot
Required
Point on ray PQ
A ray is a line with a starting point, and extends infinitely in the other direction.
So;
Ray PQ implies that.
P is the starting point, and it extends towards Q direction (however, it is endless).
Towards the direction of Q, we have points R and S.
This implies that R and S are on ray PQ.
Find the zeros of the function.
Enter the solutions from least to greatest.
h(2) = -5x2 + 180
lesser x=
greater x =
Answers
Answer:
lesser x = -6
greater x = 6
Step-by-step explanation:
-5x² + 180 = 0
5x² = 180
x² = 36
x = ±6
Answer:
x = - 6, x = 6
Step-by-step explanation:
Given
h(x) = - 5x² + 180
To find the zeros let h(x) = 0 , that is
- 5x² + 180 = 0 ( subtract 180 from both sides )
- 5x² = - 180 ( divide both sides by - 5 )
x² = 36 ( take the square root of both sides )
x = ± [tex]\sqrt{36}[/tex] = ± 6 , then
lesser x = - 6
greater x = + 6
The product of two numbers is 62.7. If one number is 5.5, find the other number? Need it fastttttttttt with steps
Answers
Answer:other number is 11,4
Step-by-step explanation:
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?
Answers
Answer:
SMALLER NUMBER = 14
BIGGER NUMNER = 34
Step-by-step explanation:
Two equations can be derived from the question
a + 2b = 62 equation 1
3a - b = 116 equation 2
a = bigger number
b = smaller number
multiply equation 1 by 3
3a + 6b = 186 equation 3
subtract equation 2 from 3
5b = 70
b = 14
substitute for b in equation 1
a + 28 = 62
a = 34
Help needed for this question.
Answers
Try this option:
1) for the given function 'f': the the axis of its symmetry is x= -2;
2) for the function 'g':
g(x)=4x²-16x+12; ⇔ g(x)=4(x²-4x+3); ⇔ g(x)=4(x-1)(x-3).
It means the axis of its symmetry is x=2.
Answer: -2 and 2
Help Please.
Classify the tringle below.
acute right
equilateral
isosceles right
isosceles scalene
Answers
Answer:
isosceles right
Step-by-step explanation:
It is an isosceles right angled triangle because according to the figure it's two sides are equal which means it is isosceles triangle and there is 90 degree symbol which denotes right angle.
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.
Answer:
it is a right angled triangle
Step-by-step explanation:
it has a hypothenuse,opposite and adjacent
Which equations can pair with y = 3x – 2 to create a consistent and independent system? x = 3y – 2 y = –3x – 2 y = 3x + 2 6x – 2y = 4 3y – x = –2
Answers
Answer:
[tex](a)\ x = 3y - 2[/tex]
[tex](b)\ y = -3x - 2[/tex]
[tex](e)\ 3y - x = -2[/tex]
Step-by-step explanation:
Given
[tex]y =3x -2[/tex]
Required
Equations that can create consistent and independent systems
For a pair of equation to have consistent and independent systems, the equations must have different slopes.
An equation of the form [tex]y = mx + c[/tex] has m has its slope.
In [tex]y =3x -2[/tex]
[tex]m = 3[/tex] --- slope
Considering the options
[tex](a)\ x = 3y - 2[/tex]
Make y the subject
[tex]x = 3y - 2[/tex]
[tex]3y = x+2[/tex]
Divide by 3
[tex]y = \frac{1}{3}x+\frac{2}{3}[/tex]
The slope is:
[tex]m_1 = \frac{1}{3}[/tex]
Hence, (a) can make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](b)\ y = -3x - 2[/tex]
The slope is:
[tex]m= -3[/tex]
Hence, (b) can make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](c)\ y = 3x + 2[/tex]
The slope is:
[tex]m=3[/tex]
Hence, (c) cannot make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](d)\ 6x - 2y = 4[/tex]
Make y the subject
[tex]2y = 6x -4[/tex]
Divide by 2
[tex]y = 3x -2[/tex]
The slope is
[tex]m =3[/tex]
Hence, (d) cannot make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](e)\ 3y - x = -2[/tex]
Make y the subject
[tex]3y = x -2[/tex]
Divide by 3
[tex]y = \frac{1}{3}x -\frac{2}{3}[/tex]
The slope is:
[tex]m = \frac{1}{3}[/tex]
Hence, (e) can make a consistent and independent system with [tex]y =3x -2[/tex]
A grocery store has a sale on apples. Shoppers can buy 3 bags of apples for $5. Each bag contains 6 apples. Which of the following statements is true?
Answers
Answer:
i dont know
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
3b = 5$
3b = 6a
3b = 3 bags
6a = 6 apples
A. It costs 3.60 for 1 bag of apples
3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126
Meaning it would cost 126 for 3 bags of apples making this a incorrect option
B. It costs 3.60 for 1 apple
B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.
C. The cost of 9 bags of apples is 30$
9b = 21a, its either c or d but I'm pretty sure its D!
D. The cost of 108 apples is 30$
D is correct
~ LadyBrain