The triangle xyz has three sides and three angles
Neither law can be used to solve the triangle
How to determine the appropriate method?From the question, we understand that only the angle measures are given.
The law of sines is represented as:
x/sin(X) = y/sin(Y) = z/sin(Z)
The law of cosine states that:
x^2 = y^2 + z^2 - 2yz cos(X)
The above laws require at least one of the side lengths of the triangles.
Since the side lengths are not given, then none of the laws can be used
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What is the value of y in the solution to this system of equations?
6y + x = negative59
x = negative2y + 9
Answer:
X=-8,Y=-8.5
Step-by-step explanation:
just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.
help me PLEASEE i really don’t understand
If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
slope: 4/5 is a positive slope
positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.The picture below shows some examples of equation with positive slope.
Answer:
rise from left to right
Step-by-step explanation:
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Positive slope: rise from left to right
[tex]m[/tex] is a positive number
[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]
Negative slope: fall from left to right
[tex]m[/tex] is a negative number
[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]
Zero slope: horizontal line
[tex]m=0[/tex]
[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]
Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)
Infinite slope: vertical line
[tex]m= \infty[/tex]
[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
There is no change in x-values for a vertical line, so:
[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]
We also usually call the slope of this line undefined.
Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)
---------------------------------------------------------------------------------
Attached graph:
Positive slope: black line
Negative slope: blue line
Zero slope: green line
Infinite slope: red line
how many solutions does −5x+12=−12x−12
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
What is the missing value (-15)+18=
Answer:
3
Step-by-step explanation:
(-15) + 18 = 3
We can check our answers by adding 15 to 3 when doing inverse operations.
Answer:
3
Step-by-step explanation:
-15 + 18 = 3
An isosceles right triangle has legs of equal length. If the
hypotenuse is 18 centimeters long, find the length of each leg.
Step-by-step explanation:
hope you have a great day going so far today
Can some one help me please I am not understanding this
Answer:
x = (-7.5,0)
y = (0,5.5)
Step-by-step explanation:
y = the vertical line
x = horizontal line
along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers
hope the helps :))
What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d
The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
The loan amount is $5000 with a rate of 6.25% over 60 months.
Then the monthly payment (MP) will be
[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]
Then the formula will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
P = $5000
r = 0.0052
n = 60
Then we have
[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]
More about the monthly payment link is given below.
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Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true? all terms of the expansion are positive. all terms in the expansion are negative. the first term in the expansion is positive. the first term in the expansion is negative.
If the value of n is a positive integer then the first term is always positive. Then the correct option is C.
What is binomial expansion?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.
The binomial expression is given (a – b)ⁿ.
If the value of the n is positive then the condition will be
There is a negative sign between a and b so it is impossible to have all the terms positive as well as negative.
But the first term will always be positive.
More about the binomial expansion link is given below.
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Answer:c
Step-by-step explanation:
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Need help with this
Answer:
6
Step-by-step explanation:
PLS GIVE ME BRAINILIEST!
area = 756 cm^2
h = 18 cm
a = 39 cm
b = ?
Answer:
given,
area= 756cm^2
h = 18cm
a = 39cm
then,
area = (a+b)h/2
756 = (39+b)18/2
756= 351+9b
756-351= 9b
405 = 9b
405/9= b
b = 45cm
Simplify the expression below: 3(7x) – 2(4 – x)
A. 13 – 2x
B. 13 + 2x
C. 23x – 8
D. 20x – 8
Answer:
C
Step-by-step explanation:
3(7x)=21x
-2(4-x)= -8+2x
21x-8+2x=23x-8
If the simple interest on $5,000 for 6 years is 1,200 then what is the interest rate?
Answer:
4%
Step-by-step explanation:
You can use the formula below to find the simple interest rate.
Simple interest = P r t / 100
Here,
P ⇒ Principle ⇒ $ 5000
r ⇒ rate ⇒ ??
t ⇒ time ⇒ 6 years
simple interest ⇒ $ 1200
Let us find it now.
Simple interest = P r t / 100
1200 = 5000 × r × 6 / 100
1200 × 100 = 30000r
120000 = 30000 r
Divide both sides by r.
4 = r
Therefore, the interest rate is 4%
Find the number to add to x^2 + 14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.
Answer:
Option 2
Step-by-step explanation:
Divide the co efficient of 'x' by 2 and the square the result.
14 ÷2 = 7
7² = 49
To make it a perfect trinomial, 49 should be added
x² +14x + 49 = x² + 2*x *7 + 7² {Compare with a²+ 2ab + b² = (a +b)²}
= (x +7)²
60 points) khan academy geometry practice. Need help i in any way cannot miss this question please help!!
An exponential function and a linear function are graphed below.
Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?
Answer:
x = 1.79 to x = 3
Step-by-step explanation:
I think this is correct because the linear function grows at a constant rate so the point where the exponential function's line starts going up faster means that the growth rate is increasing. At the point (1.79,7.17) is when both lines intersect but the exponential function is growing at a faster rate than the linear function.
Answer:
x = 1.79 to x = 3
Step-by-step explanation:
Mariah needs to randomly select one of three groups of students to make their presentation first. Which simulation tools could she use in this
situation?
a full standard deck of cards
a spinner divided evenly into four sections, with each section a different color
a six-sided number cube
0 a bag containing 12 chips in three different colors, with four of each color
two coins
The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color
How to determine the simulation tool?From the question, we have the following parameter:
Group, n = 3
The probability of selecting a group is:
p = 1/3
This means that the simulation tool to select must have a probability value of 1/3
From the question, the option (d) has a probability of 1/3
This is so because, we have:
Chips = 12Colors = 3Chip of same color = 4So, the probability of selecting each color is 4/12 or 1/3
Hence, the simulation tool to use is (d)
Read more about probability at:
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Answer:
a bag containing 12 chips in three different colors, with four of each color
and i think
a six-sided number cube
Step-by-step explanation:
plato?
Geometry math work! help needed please.
Answer:
I decided to use the actual formula this time and got 25.7
Step-by-step explanation:
first we find the length of the arc of bca
360-65
so its 295
then after I use the arc length formula which is
x/360 times 2(pie)r
295/360 times 2(pie)5
295/360 times 31.4159
9267.6983/360 (I multplied 295 and 31.4159)
Then we divide and get
25.743
Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.
Answer:
1/10
Step-by-step explanation:
(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000
1³ = 1
10³ = 10000
so the answer is 1/10
or think of it like ∛ (1/1000) = 1/10
Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50
Answer:
D. 50.
Step-by-step explanation:
50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.
100 Points!!!! Please Show Steps!
1. Given f(x)=x^2 - 2 and g(x) =4x + 1 Find
a. f(g(x))
b. g(f(x))
Go from right to left in such function questions
a. f(g(x))
⇒ f(4x + 1)
⇒ (4x + 1)² - 2
⇒ 16x² + 8x + 1 - 2
⇒ 16x² + 8x - 1
b. g(f(x))
⇒ g(x² - 2)
⇒ 4(x² - 2) + 1
⇒ 4x² - 7
Answer:
[tex]f[g(x)]=16x^2+8x-1[/tex]
[tex]g[f(x)]=4x^2-7[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^2 - 2[/tex]
[tex]g(x) =4x + 1[/tex]
[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):
[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]
[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):
[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]
46. 3 Divided 1. 5 I can't find the answer on this question
Answer:
30.8666666666666...(repeating 6)
Step-by-step explanation:
46.3/1.5=30.8666666666....
HELP ME WITH THIS NOOOOWWWW
Answer:
A
Step-by-step explanation:
BD = 12
BC = 12/2 => 6
using Pythagoras theorem
AB² = AC² + BC²
AB² = 3² + 6²
AB² = 9 + 36
AB² = 45
AB = √45 (A)
Simplify the expression
Step-by-step explanation:
here
=(81x^12/3x^3)1/3
=(3^4.x^12/3.x^3)1/3
=(3^4-1.x^12-3)1/3
=(3^3×1/3.x^9×1/3)
=3×x^3
Find the new side lengths if the scale factor is 2/5. 35 inches 15 iches NEED ANSWER ASAP PLEASEEEE
Answer:
l = 14 inches , b = 6 inches
Step-by-step explanation:
multiply length l and breadth b by the scale factor , then
new length = [tex]\frac{2}{5}[/tex] × 35 = 2 × 7 = 14 inches
new breadth = [tex]\frac{2}{5}[/tex] × 15 = 2 × 3 = 6 imches
You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400π m400, pi, start text, space, m, end text.
What is the diameter of the lake?
Answer:
diameter = 400 m
Step-by-step explanation:
Perimeter of circle = pi * d
400 pi = pi * d
d = 400 meters
5x + 3y -5.70 2x+10y+3.60
Answer:
I`m not really sure what i`s asking to solve but here`s my best answer.
5x + 3 - 5.70 = 2x + 10y + 3.60
3x + 3 - 5.70 = 10y + 3.60
3x + 3 = 10y + 9.30
3x = 10y + 6.30
^^^That`s the most it can be simplified without any new fractions or decimals
3x = 10y + 6.30
x = 3.33y + 2.10
^^^That`s the most it can be simplified to solve for x.
Help pls!!! No links pls and ty <33
A circle has a circumference of 51 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth
Answer:
16.2
Step-by-step explanation:
just divide the circumference by 3.14
Answer:
diameter= 16.2338
Step-by-step explanation:
D = C/π
c means CircumferenceD means diameterπ means pi=> D = 51/3.14
D = 16.2338
D = 16.2
A new washing machine is purchase by the hamilton family it cost 324.50 how much will the washing machine cost after 6% sales tax is
applied
Answer:
343.97
Step-by-step explanation:
price of vending machine is 100% = 324.50
100% + 6% sales tax = 106%=1.06
324.50*1.06
343.97