part 1. Find the missing sides for the 30-60-90 Triangles. Please show work
Answers
1. cos(30) = a/16
a = 16 x cos(30)
a = 8√3
sin(30) = c/16
c = 16 x sin(30)
c = 8
2. cos(30) = d/28
d = 28 x cos(30)
d = 14√3
sin(30) = f/28
f = 28 x sin(30)
f = 14
3. sin(30) = x/62
x = 62 x sin(30)
x = 31
cos(30) = y/62
y = 62 x cos(30)
y = 31√3
Answer:
1. (a, c) = (8, 8√3)
2. (d, f) = (14, 14√3)
3. (x, y) = (31, 31√3)
Step-by-step explanation:
Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.
__
1. a : c : 16 = 1 : √3 : 2
Multiply by 16/2 = 8:
= 8 : 8√3 : 16
a = 8, c = 8√3
__
2. d : f : 28 = 1 : √3 : 2
Multiply by 28/2 = 14:
= 14 : 14√3 : 28
d = 14, f = 14√3
__
3. x : y : 62 = 1 : √3 : 2
Multiply by 62/2 = 31:
= 31 : 31√3 : 62
x = 31, y = 31√3
Related Questions
First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85
Answers
Answer:
Proper fraction.
Step-by-step explanation:
[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]
how many inches in 85937392 metres?
Answers
Answer:
3383361889.8
Step-by-step explanation:
1 meter = 39.3701 inches
85937392 x 39.3701 = 3383361889.8
Answer:
3,383,361,889.76 inches
Step-by-step explanation:
1 meter = 39.37 inches
multiply 85937392 by 39.37
answer is 3383361889.76
Is the following shape a rectangle
Answers
Answer:
c
Step-by-step explanation:
no because the adjacent sides are not perpendicular.
Which of the following is Th e equation of the boundary line shown in the following inequality?
a. y = -x + 3/5
b. y= -x + 5/3
c. y= 3/5x - 1
d. y= 5/3x - 1
Answers
Answer:
The answer is C.
Step-by-step explanation:
Mark me brainiiest.✌✌
PLEASE HELP ME IM BAD AT GEO! URGENT
Answers
Answer:
SSS
Step-by-step explanation:
Given that the sides are equal and no angles are given
Answer:
A: SSS
Step-by-step explanation:
We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.
9x+18=-20
what does X =
Answers
Answer:
x=-4.22222
The 2 is repeating
Step-by-step explanation:
First you subtract 18 from both sides
9x=--38
Then divide both sides by 9
x=-4.22222
The 2 is repeating
AnsWER
X=-2/9
Step-by-step explanation:
9X=-20-18
9X=you will divide both sides by -9
X=-2/9
What is the volume of box B?
Answers
Answer:
Answer: The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..
Step-by-step explanation:
is this the answer you were looking for
What are the x- and y-intercepts of the graph of 5x – 4y = –20?
x-int: 5, y-int: –4
x-int: –5, y-int: 4
x-int: –4, y-int: 5
x-int: 4, y-int: –5
Answers
X-intercept is -4 and the Y-intercept is 5
Appendix
Fofit and Loss
man bought 10 bags for Rs 5,000. He sold 7 bags at Rs 550 each and the remaining
bags at the rate of cost price. Find his profit percent.
Answers
Given the regular octagon, what is the length of any side?
Answers
Answer:110
Step-by-step explanation:x^2+17x=15x+35
x^2+17x-15x-35=0
x^2+2x-35=0
delta=2^2-4*1*(-35)=4+140=144
x1=(-2+V144)/2=(-2+12)/2=10/2
x=5
so 15*5+35=75+35=110
Answer:
110Step-by-step explanation:
In a regular polygon, each side has the same length.
Therefore we have the equation:
[tex]x^2+17x=15x+35[/tex]
We must specify the domain:
[tex]x^2+17x>0\ \wedge\ 15x+35>0\\\\x(x+17)>0\ \wedge\ 15x>-35\\\\(x<-17\ \vee\ x>0)\ \wedge\ x>-\dfrac{7}{3}\Rightarrow x>0[/tex]
[tex]x^2+17x=15x+35\qquad\text{subtract}\ 15x\ \text{from both sides}\\\\x^2+17x-15x=15x-15x+35\\\\x^2+2x=35\qquad\text{add 1 to both sides}\\\\x^2+2x+1=35+1\\\\x^2+2(x)(1)+1^2=36\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1)^2=36\to x+1=\pm\sqrt{36}\\\\x+1=\pm6\qquad\text{subtract 1 from both sides}\\\\x+1-1=\pm6-1\\\\x=-7\ \vee\ x=5[/tex]
[tex]x<-7\notin\text{domain};\ x=5\in\text{domain}[/tex]
The length of a side:
[tex]x^2+17x=5^2+17(5)=25+85=110\\\\15x+35=15(5)+35=75+35=110[/tex]
RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujeres. a) ¿Cuántos son hombres? b) ¿Qué parte del total de los estudiantes son hombres? 2. María se ha gastado 13 del dinero que le dieron de paga sus abuelitos en comprar un libro de aventuras. También se ha gastado 29 de la paga en comprar una cartuchera. ¿Qué fracción de su paga se ha gastado María? Datos: Libro de aventuras = 13 Cartuchera = 29 Solución: 13+ 29=3+29= 59
Answers
Answer:
1) a. 195 are males
b. Males are the 85 %
2) 1/2
Step-by-step explanation:
Number of all the students: 230
35 are females
x are males
Then 35 + x = 230
x = 230 - 35 → 195
To determine the amount of males, from the total we apply the percent.
Percent = (Amount of males / Total of students) . 100
% = (195 / 230) . 100 = 85 %
2. In first place, Maria spent 13 for the book.
In second place, Maria spent 29 for the pencil box.
In total, she has spent 13+29 = 42
But, how many dolars have the grandpa gave to her?.
We can also apply percent and fractions, where:
(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1
13 + 29 + x = T
13/T + 29/T + x/T = 1, in conclussion x = 42
Total of money given = 84
Then, Maria has not spent the half of money→ 1/2
the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm
Answers
Answer:
105.4
Step-by-step explanation:
I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4
The surface area is 105.4 square centimeters.
What is surface area?A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.
what are surface area examples?The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.
Learn more about the surface area here https://brainly.com/question/76387
#SPJ2
factorise 6 x ^2 + 17 X + 5
Answers
Answer:
( 3x + 1) (2x+5)
Step-by-step explanation:
6 x ^2 + 17 X + 5
We break the 6 into 3 and 2
(3x ) (2x )
We need the middle term to be 17
( 3x + 1) (2x+5)
3*5+2 = 17 so it works
So it works
Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw
Answers
Answer: 27
Step-by-step explanation:
111/4= 27.75
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The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +
Answers
Answer:
[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]
Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
[tex]\frac{15x² + x + 2}{x²} = B
[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]
Answer: c
Step-by-step explanation:
You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?
Answers
Answer:
-10 because you lost twice more than you won.
Hope this helps!
Which graph represents a function??
Answers
Answer:
To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.
Answer:
Bottom Right
Step-by-step explanation:
A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.
Which of the following functions is graphed below?
Answers
Answer:
B
Step-by-step explanation:
there's no point on x^2 +3 at 4 so x < 4 making it B
VX
What is the value of x in the equation below?
-3-(-8)-(-2)
4-13
Answers
Answer: 0
I didn't see an 'x' so I was very confused but I simplified and got "0"
What is the frequency of a wave with a period of 0.2 seconds?
Answers
Answer: 5 Hz
The frequency is the inverse of period... Them:
[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answers
Step-by-step explanation:
Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are 12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..
Answer: 6.9474 or 6.94736.
Please mark as Brainliest.
The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?
Answers
Answer:
$16
Step-by-step explanation:
First subtract $351 from $895 to find the dollar amount we're considering.
($895 - $351 = $544)
Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged. ($544 / 34 = $16)
What is the 5th term of the linear sequence below?
−
-5,-2,1,4,7,
Answers
Answer:
The sequence has '+3' each time, so the next will be 10
Step-by-step explanation:
it is 10 cuz it goes from -5 adding 3
A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?
Answers
Answer:
10000 ml
Step-by-step explanation:
1 liter =1000 ml
15 -5 = 10
10 * 1000= 10000
anyone know thus multiple question.... yes you , i know you've saw this , your reading now ... please help (if you can of course )
Answers
Answer:
if union, U means plus,+
if intersect means minus, -
Select all the equations where a=8 is a solution.
Choose 3 answers:
A
a+11=15
B
1=8÷a
C
15+a=23
D
42=7a
E
a-5=3
Answers
Answer:
B,C, E
Step-by-step explanation:
A
a+11=15
8+11 = 19
false
B
1=8÷a
1 = 8÷8
1=1 true
C
15+a=23
15+8 = 23
23 = 23
true
D
42=7a
42 = 7*8
42 = 56
false
E
a-5=3
8-5 = 3
3=3 true
Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45
Answers
Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours
Answers
Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles
Step-by-step explanation:
What additional piece of information must be known in order to calculate the volume of the cylinder below?
A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base
Answers
The formula for the volume of a cylinder is V= pi * r^2 * h
Answer:
height of the cylinder
Step-by-step explanation:
A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford
Answers
Answer: P ≤ $10
Step-by-step explanation:
You have $18
You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10
This means that we the range of prices P that you can afford is:
P ≤ $10
This means that the price of the jeans can be, at maximum, 10 dollars.
