HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.
side = 1
angle = 36
BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.
BD = __ units
AD = __ units
AB = __ units
AC = __ units
Answers
Answer:
BD = 1 unit
AD = 1 unit
AB = 1.6 units
AC = 1.6 units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
Related Questions
Which equation is a linear function?
Answers
Answer:
y = xStep-by-step explanation:
In general ,A linear function has the form y = ax + b
so ,the functions :
y = √x
y = x²
y = x³
don’t meet the requirements of the definition
therefore none of them is linear.
but y = x is a valid choice (just put a = 1 and b = 0 in the expression y = ax + b)
Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)
Answers
Answer:
[tex]8x+4y-2z-8z^2[/tex]
Step-by-step explanation:
Given
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Required
Write an expression that shows their sum
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Open Brackets
[tex]8x+3z-8z^2+4y-5z[/tex]
Collect Like Terms
[tex]8x+3z-5z-8z^2+4y[/tex]
[tex]8x-2z-8z^2+4y[/tex]
Reorder the polynomial
[tex]8x+4y-2z-8z^2[/tex]
Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]
Answer:
D
Step-by-step explanation:
answer on edge
About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.
Answers
Answer:
747 people per square mile
Step-by-step explanation:
population of city's town hall = 150,000
Radius of city's town hall = 8 mile
area of any circular shape is given by [tex]\pi r^2[/tex].
r is the radius of circle.
p
Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]
Population density for any place is ratio of population of that place to area of that place
Thus
Population density for city's town hall = population of city's town hall /Area of city's town hall
Population density for city's town hall = 150,000/200.96
Population density for city's town hall= 746.42 people per square mile.
Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.
Explain how you can determine how much chicken salad
may be purchased for $52.50.
Answers
Answer:
Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.
Step-by-step explanation:
Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out
7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons
from the box, one after the other.
The probability that the first color is violet and the second is orange, If the first crayon is replaced, is
The probability that the first color is violet and the second is orange, If the first crayon is not replaced, is
Answers
Answer:
1/14 or 7%.
Step-by-step explanation:
violet crayon probability: 1/7
Orange probability: 1/7
Violet, then orange probability: 1/14
1/14 = about 7%
When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property
Answers
Answer:
Distributive property.
Step-by-step explanation:
The 2 is being distributed to the x and 5
It's the first step due to PEMDAS (Parenthesis first)
Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time
Answers
Answer:
d) a written agreement that allows a tenant to use a property for a set period of time.
What expression represents the volume of the prism, in cubic units?
One-halfx3
One-halfx2 + x
2x3
2x2+ x
Answers
Answer:
Its A or 1/2x^3
Step-by-step explanation:
Just took the test
Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)
Answers
Answer:
Yes!
Step-by-step explanation:
When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!
You plug in the -2 into x and the 23 into f(x).
f(23)= 13-5(-2)
f(23)= 13+10
f(23)= 23
f(x) = 3x + 2 and g(x) = x + 5
g[f(x)] =
A. 3x + 7
B. 3x + 17
C. 4x + 7
Answers
Answer:
A
Step-by-step explanation:
g[f(x)]=g(3x+2)=3x+2+5=3x+7
The function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given the function as
f(x) = 3x + 2 and g(x) = x + 5
We need to find the function defined by g[f(x)]
g[f(x)] = g(3x+2)
g[f(x)] =3x+2+5
g[f(x)] = 3x+7
Therefore, the function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.
Answers
Answer:
4 sq foot
Step-by-step explanation:
Please help in simplify these expressions
Answers
Answer:
1. 2y^2 x 3y
6y^2 x y
6y^3
2. (7x^5) (2x^2)
14x^7
Step-by-step explanation:
Answer:
[tex]2y^2 \cdot 3y\\6y^3[/tex]
[tex](7x^5)(2x^2)\\14x^7[/tex]
What is the measure of arc c?
190
95
120
70
Answers
Answer:
70°
Step-by-step explanation:
By inscribed angle theorem:
[tex] 95° = \frac{1}{2}(c + 120°)\\\\
\therefore 95°\times 2 = c + 120°\\\\
\therefore 190° = c + 120°\\\\
\therefore c = 190° - 120°\\\\
\huge \orange {\boxed {\therefore c = 70°}} [/tex]
find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6
Answers
Answer:
20
Step-by-step explanation:
Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.
If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.
If there is an ODD number of numbers: there will be one number left, therefore that is your answer!
Hope this helps!
-PusheenDaCat1017
What is the measure of angle HIJ?
Н
Answers
Answer: you forgot to add A pic
Step-by-step explanation:
divide x^3/4 over x^1/6
Answers
Answer:
A
Step-by-step explanation:
[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]
[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]
[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]
Exterior angle equation:
3x= (x + 15) + 43
Answers
Answer:
x=29
Step-by-step explanation:
3x=x+58
2x=58
x=29
Please help!
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answers
Answer:
d (miles) = (sqrt 1.5) * height (feet)
d (miles) = 1.2247448714 * 1,250
d (miles) = 1,530.93 miles
Step-by-step explanation:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180
Answers
Answer:
Option A. (-1, 0)
Step-by-step explanation:
In the figure attached,
Circle O is a unit circle (having radius r = 1 unit)
If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,
x = r.cosθ
x = 1.cosθ = cosθ
and y = r.sinθ
y = 1.sinθ = sinθ
Therefore, coordinates representing the point A will be (cosθ, sinθ).
As per question the given point A is lying at P (a point having central angle θ = 180°)
Coordinates of point P will be
(x', y') → (cos180°, sin180°)
→ (-1, 0)
Therefore, Option A will be the answer.
PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.
Answers
Answer:
x=25
Step-by-step explanation:
4x-10=90
4x=100
x=25
Answer:
25
Step-by-step explanation:
We know that m∠9 is 90° because the diagonals of a square are perpendicular.
4x - 10 = 90
4x = 100
x = 25°
Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?
Answers
The answer is $2600
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
$ 2600Step-by-step explanation:
[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]
[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]
freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?
Answers
Answer:
20 icnhes
Step-by-step explanation:
not rlly
Which of the following statements is true about the function presented in the table?
a. The slope of the function is 4 and the y-intercept is 2.
b. The slope of the function is 4 and the y-intercept is -2.
c. The slope of the function is -2 and the y-intercept is 4.
d. The slope of the function is 2 and the y-intercept is 4.
Answers
Answer:
C. The slope of the function is -2 and the y-intercept is 4.
Explanation:
The y-intercept is the point when x = 0. On the table when x is 0, y is 4.
The slope of the function is -2 because the y value is going down by 2 for each +1 of x.
x │ y
-2 │ 8
0 │ 4
↓ +1 ↓ -2
1 │ 2
↓ +1 ↓ -2
2 │ 0
What's the rule?
25, 20, 15, 10
Answers
Answer:
subtract 5
Step-by-step explanation:
Hello
I think I can help you here.
The answer is:
The rule is 5!
Step-by-step explanation:
It goes up in 5's each time. The 5 times table.
Please mark my answer.
Cheers, Jake
please read the photo above first :))
a) 40
b) 160
c) 240
d) 320
Answers
Answer: A
Step-by-step explanation:
This problem, may seem abit tricky, but this sequence is all about plugging in.
Since c₁=5, we can solve for c₂ and c₃.
c₂=c₁·2ⁿ⁻¹
c₂=5·2¹
c₂=10
Now that we have c₂, we can find c₃.
c₃=c₂·2ⁿ⁻¹
c₃=10·2²
c₃=40
Please help 50 points!!
Answers
Answer:
the first one
Step-by-step explanation:
Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.
Answer:
The third option is the correct answer because it is proving the property.
Thank you
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Help please is for Algebra
Answers
Answer:
[tex]=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]
the third option is your answer
Step-by-step explanation:
[tex]\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}[/tex]
[tex]\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]
Calculate the volume of the 3-D composite figure please!! show how you got the volume
Answers
Answer: 10,488 cu. in.
Step-by-step explanation:
Volume of rectangular prism = l x w x h
= 16 x 18 x 23 = 6624 cu. in
Volumr of triangular prism = 1/2bh (height of prism)
= 1/2 x 23 x 21 x 16
= 3864 cu. in.
Volume of the figure = 6624 + 3864 = 10,488 cu. in
How is the product related to the first factor? 4/5 x 4/11
Answers
Answer
The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.
Evaluate the expression 3.5x when x is 2.
Answers
Answer:
X= 7
Step-by-step explanation:
Since x= 2 you would plug it in 3.5 times 2 = 7
Answer:
7
Step-by-step explanation: