Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
Rachel got 18 out of 30 correct on her science test. What percent did she get on her test?
Answer:
60% or D
Step-by-step explanation:
Divide 100 by 30
3.333333. . .
Multiply 18 by 3.333333. . .
The answer is 60%
Hope this helped :)
• Which ratios have a unit rate of 5? Choose ALL that apply.
Answer:
6 1/4 and 1 1/4
1 and 1/5
Step-by-step explanation:
These are the only ones I think
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The given, ratios are:
4/5 km : 5 minutes
[tex]3\frac{1}{10}[/tex] km: 3/10 minutes
1 kilometer: 1/5 minutes
1/3 kilometer: [tex]1\frac{2}{3}[/tex] minutes
[tex]4\frac{1}{2}[/tex] kilometer: 2 minutes
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes
We need to check which ratios have 5 as unit rate.
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes has unit rate as 5
25/4/5/4
5
1 kilometer: 1/5 minutes
5
Hence, [tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.
To learn more on Ratios click:
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Graphic organizers
a.
Must be artistic
c.
Are timelines only
b.
Show relationships among information
d.
Show cause and effect only
Please select the best answer from the choices provided
HELP ME IM ON A QUIZ AND TIME IS ALMOST UP PLS
Answer:
Show relationships among information
Answer:
B
Step-by-step explanation:
Guys plz help me answer this!!!!
Answer:
p= 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
Do the ratios 16 18 and 1 2 form a proportion?
Answer:
no they don't form a proportion
Step-by-step explanation:
16:18/2:2 = 8:9
8:9 and 1:2 are unequal
For an activity in class, student used pieces of string to measure road on a map. They used a map scale to determine the distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string distance was 7.75 inches, which represents a real-life distance of about 155 miles. Another group measured the distance between Tampa and Orlando on the same map and found that distance to be 4.25 inches. What is the real-life distance to the nearest mile between Tampa and Orlando
Answer:
Step-by-step explanation:
85miles¯\_(ツ)_/¯
Helpppppp plzzz nowwww
Answer: side AB is 5.7 units
Step-by-step explanation:
If you look at the congruence marks on the angles, you can see that side AB and side KL correspond. Since we know KL is 5.7, AB must be 5.7 as well. :)
How much interest. does a $407 investment earns at 6% over a period of 6
years?
$146.52
You times the 407 by 6%, then you multiply the product by 6, which would leave you with the added amount.
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tickets, find the probability that he will win both pris(Round your answers to five decimal places.)
Given :
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.
Dionte buys two tickets.
To Find :
The probability that he will win both price.
Solution :
Number of prizes available, p = 2
Probability of getting price from first draw :
[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]
Probability of getting price from second draw if he won first prize :
[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]
So, probability of winning both prize :
[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]
Therefore, probability of winning both prize is 0.00159 .
Hence, this is the required solution.
Complete the table using equivalent ratios.
21:6
7:__
__:4
Answer:
7:2
14:4
Step-by-step explanation:
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)
Answer:
[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles
Step-by-step explanation:
Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and
[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.
So,
[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]
This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]
As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]
[tex]\frac{l}{r}=\frac{L}{R}[/tex]
As radius of one circle is twice the radius of the other circle,
[tex]R=2r[/tex]
[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]
All I know is that the answer is F. How do I get to the answer F?
Answer:
8 inches on each side
Step-by-step explanation:
Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some
Answer: The answer is some
I know this because I go to Harvard
Answer:
The answer is some
Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?
Lo siento mucho, no hablo muy bien español ... ¡Ojalá pudiera! Sería mucho más útil de esa manera
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
d
Step-by-step explanation:
listen bud i am trying to level up so i am doing the challenge 25 questions for 400 points i need 3 brainliest on the way can you help me out with this?
-36x - 24 ≤ -6(5x + 12)
Answer:
x ≥ 8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
-36x - 24 ≤ -6(5x + 12)
Step 2: Solve for x
Distribute -6: -36x - 24 ≤ -30x - 72Add 36 on both sides: -24 ≤ 6x - 72Add 72 on both sides: 48 ≤ 6xDivide both sides by 6: 8 ≤ xRewrite: x ≥ 8Here we see that any number x greater than or equal to 8 would work as a solution.
How to solve y=4x+2 and 2x+y=8 using substitution?
Answer:
X=1
Step-by-step explanation:
Coach Pugh has 12 helmets and 8 footballs in his locker room. Wich ratios are equivalent to the ratio of helmets to footballs in coach pugh's locker room... (Select all that apply) ...... 1:3,,2:3,,3:2,,4:2,,6:4,,24:16
PLZ I WILL GIVE HIGH RANKING
Answer:
3:2 6:4 24:16
Step-by-step explanation:
A study found that 8% of dog owners brush their dog's teeth. Of 25 dog owners, about how many would be expected to brush their dog's teeth? *
10 points
(1) 8
(2) 25
(3) 2
(4) 17
La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes
Answer:
A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
Step-by-step explanation:
Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:
134,81/24=5,61
Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:
24-5,61=18,39
De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
9. If mZP is three less than twice the measure of ZQ, and ZP and ZQ are supplementary
angles, find each angle measure.
Answer: ZQ=61, ZP=119
Step-by-step explanation: knowing that these angles are supplementary, you can set up an equation using x. Angle ZP is 2x-3, and angle ZQ is x. Together they add up to 180. So 2x-3+x=180. 183=3x. X=61.
What is the speed of a cheetah that travels 116 m in 3.0seconds
Answer:
38.6666666667
Step-by-step explanation:
speed = distance/time.
Time: 3.0
Distance: 116 miles.
116/3.0 = 38.6666666667.
HELP FASTT!! Will give BRAINLIST
Simplify.
4to the third power x 4 to the fourth power
Over 4 to the ninth power
A) 4 to the 16th power
B) 4 to the 2nd power
C) 1 over 4 to the 2nd power
D) 1/4
Answer:
the answer to that is 1/4^2
help help help help
Answer:
Option 1
Step-by-step explanation:
-4x+6y-5z=60
for x-int, solve for x when y=0, z=0
-4x+6(0)-5(0)=60
x=-15 (-15, 0,0)
for y-int, solve for y when x=0, z=0
y=10 (0, 10,0)
for z-int, solve for z when x=0, y=0
z=-12 (0, 0,-12)
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
Step-by-step explanation:
2x +10 = 26
2x = 16
x = 8
answer is d
Answer:
8
Step-by-step explanation:
Since these two triangles are congruent, IN is equal to AT. Solve the following equation:
2x + 10 = 26
2x = 16
x = 8
Write (4,0) and (0,6) in standard form
Answer:
4x + 6y = 0
Step-by-step explanation:
Hope that helps pelase gve me brainliest