For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
Answers
Neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
Solving trianngles using the laws of sines & cosinesThe law of sines is written as
[tex]\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}[/tex]
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Two angles and one side, orTwo sides and a non-included angleThe law of cosines is written as
a² = b² + c² -2bc cosA, or
b² = a² + c² - 2ac cosB, or
c² = a² + b² -2ab cosC
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Three sides orTwo sides and the included angleNow, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.
Hence, neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
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Related Questions
Leonard runs a pet-sitting service. He charges $20 per day, which includes three walks and two feedings. He charges $5 for each extra walk. Which expression describes how much Leonard would charge for a single day of pet sitting with w extra walks?
Answers
y = 5w +20
its 5$ for every walk.
No matter what, it starts at 20 so that is our Y intercept.
Therefore, we make the eqaution using what we know.
y = 5w + 20
Which statements are true about the graphed function?
1. The midline of the function is y = 1.
2. The period of the function is 2pi.
3. The amplitude of the function is 4.
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
6. The period of the function is pi.
Answers
The correct statements regarding the function are:
2. The period of the function is [tex]2\pi[/tex].
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
What is the amplitude of a function?The amplitude of a function is half the difference between the largest and the smallest value.
In this problem, these values are of 4 and -1, hence the amplitude is:
A = (4 - (-1))/2 = 2.5.
Thus the midline is:
y = -1 + 2.5 = 4 - 1.5 = 2.5.
What is the period of a function?The period of a function is the distance between it's repetitions. Hence, for this graph, the period is of [tex]2\pi[/tex].
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Answer:
Step-by-step explanation:
Calculate the perimeter of the triangle
below.
24cm
32cm
Answers
So, s = 16.
One side is 15.
Let the second side be x.
So, the third side = 32 - 15 - x = 17 - x.
Area = 24 cm^2
So, 24^2 = s(s - 15)(s - x)(s - 17 + x)
So, 576 = 16(16 - 15)(16 - x)(16 - 17 + x)
So, 576 = 16*1(16 - x)( - 1 + x)
So, 576/16 = (16 - x)( - 1 + x)
So, 36 = - 16 + 17x - x^2
So, x^2 - 17x + 52 = 0
So, (x - 13)(x - 4) = 0
So, x = 13 or x = 4
So, the lengths of the remaining two sides are 4 cm and 13 cm.
URGENT CIRCLE THEOREM
- find the size of the angle BAC
Answers
Answer:
B
Step-by-step explanation:
The size of the angle BAC is 44° whith is B.
What is the completely factored form of the expression 16x2 8x 32? 4(4x2 2x 8) 4(12x2 4x 28) 8(2x2 x 4) 8x(8x2 x 24)
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The completely factored form of the expression can be written as,
[tex]16x^2+8x+32\\\\=8(2x^2+x+4)[/tex]
Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
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GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answers
Answer:
25π-24
Step-by-step explanation:
from the figure,
radius of the circle(r)=diameter of the circle(d)/2
=10/2
=5
Area of the circle(A)=πr^2
=π5^2
=25π
Again,
base of the right angle triangle(b)=6
perpendicular of right angle triangle(p)=8
we also know,
the area of right angle triangle = 1/2*base*height
=1/2*6*8
=1/2*48
=48/2
=24
Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)
Area of shaded region= 25π -24
Put the following items in order from most expensive to least expensive. item base price change direction blender $29.73 9% markdown hat $14.16 77% markup ink $20.17 27% markup heater $28.46 22% markdown a. blender, heater, ink, hat b. blender, ink, hat, heater c. ink, hat, blender, heater d. ink, heater, blender, hat please select the best answer from the choices provided a b c d
Answers
PLEASE HELP URGENT
Maggie is walking her dog. She walks 2/3 mile in 7/10 of an hour. At this same rate, what distances can she walk? Select all that apply.
5/7 mile in 3/4 of an hour
7/10 mike in 2/3 of an hour
10/3 miles in 1 1/2 hours
32/21 miles in 1 3/5 hours
5/3 mikes in 1 9/10 hours
Answers
We want to find the mile per hour rate (mi/hr).
That is 2/3 divided by 7/10
Which is 2/3 times 10/7
Numerator is 20
Denominator is 21
So 20/21 miles per hour. .95238009…
Convert each answer (flipping the second fraction since it is division)
5/7 times 4/3 is 20/21
7/10 times 3/2 is 21/20
10/3 divided by 1.5 hours which is 3/2.
So 10/3 times 2/3 is 20/9
32/21 divided by 1 3/5 hours which is 5/5 plus 3/5 (add to get 8/5)
So 32/21 times 5/8 is 160/168
5/3 times 10/9 is 50/27
In order of answers
20/21
21/20
20/9
160/168
50/27
Original was 20/21 which is less than 1 (21/21)
So yes to 20/21
So no to 21/20, 20/9, 50/27
To see if 160/168 works simplify.
160/168 gives 80/84 gives 40/42 gives 20/21 when dividing by 2.
So 160/168 works.
So yes to
5/7 mile in 3/4 of an hour
32/21 miles in 1 3/5 hours
So no to
7/10 mile in 2/3 of an hour
10/3 miles in 1 1/2 hours
5/3 miles in 1 9/10 hours
Please mark as the best!
During geometry class, students are told that δtsr ≅ δusv. marcus states that δtsr is mapped to δusv by performing a rotation about point s. sam states that δtsr is mapped to δusv by a reflection across the line that goes through point s. determine if either student is correct. marcus is correct. sam is correct. both students are correct. neither student is correct.
Answers
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.Marcus's claim is correct.
What is transformation?A process by which one figure, expression, or function is converted into another one of similar value.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
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Answer:
A. Marcus is correct.
Credits to the guy above! :))
please get this righttt!
Answers
Answer:
5/9
Step-by-step explanation:
this is the answer kinda not explainable so yeah
The family Willison is creating a garden. The garden dimensions are shown in the picture. Enter the area in sq feet, of the garden
Answers
Answer:
Area of garden= 238 sq feet.
Please help me with this
Answers
Answer:
Will
Step-by-step explanation:
Katie runs 8 feet per second
Stephanie runs 10.88 feet per second
Liz runs 12.9 feet per second
Will runs 13.45 feet per second
Can anyone help me with my homework
Answers
Answer:
Below in bold.
Step-by-step explanation:
When x = -3, y = -(-3) - 2 = 3-2 = 1.
When x = 0, y = -0 - 2 = -2.
When x = 4, y = -4 - 2 = -6.
To draw the graph plot the 3 points and you should be able to draw a straight line through them.
Answer:
The first y value with -3, is 1.
The second y value with 0, is -2.
The third y value with 4, is -6.
A graph is shown below.
Step-by-step explanation:
It states that the rule is y = -x-2. So all we do is plug in the values shown in the table.
y = -(-3)-2
y = 1
The first point of intersection is at (-3,1)
y = -(0)-2
y = -2
The second point of intersection is at (0,-2)
y = -(4)-2
y = -6
The third point of intersection is at (4,-6)
So now, we plot the points, and draw a line connecting them all.
Why can you say sin^2 x + cos^2 x =1 ?
Answers
Answer:
Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .
Step-by-step explanation:
hope this helps:)
help!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending. The independent variable is ____. A. Number of friends (f) B. Cost of party (c)
Answers
Answer:
20f=c
Step-by-step explanation:
How many outfits can be made from five shirts three pairs of pants and two pairs of shoes?
Answers
Answer:
3*5*2=30
He can make 30 outfits.
Step-by-step explanation:
3*5*2=30
Oliver bought 7 bags of candy. Each bag cost 1. 50. How much money did he have to pay
Answers
Which statement correctly compares the average number of eggs laid per day for each barn?
Answers
By taking the average number of eggs for both barns, we will see that the correct option is A.
How to get the average?
For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
For barn 1, the set is {2, 5, 5, 6}
So the mean is:
M1 = (2 + 5 + 5 + 6)/4 = 4.5
For the barn 2, the set is {3, 6, 8, 9}
So the mean is:
M2 = (3 + 6 + 8 + 9)/4 = 6.5
Now, taking the quantity 100%(M2 - M1)/M1 we get:
100%*(6.5 - 4.5)/4.5 = 44%
So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.
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mia rides her bike 32 miles in 8 hours. At this rate, how far will she ride in 3 hours?
Answers
Answer: 12
Step-by-step explanation:
32/8= 4. She rides 4 miles an hour. So 4 x 3= 12
Answer: 12miles
Step-by-step explanation:In 1 mile she will ride 32/8 =4miles per hour
In 3hours She will ride 4×3miles
All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By what factor were the dimensions of the pentagon multiplied?
12. 5
625
5
50
Answers
5
reason is because if you’re pentagon has lines of 5 then the area would be 25
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Answers
An angle on a straight line is 180 degrees
⇒ this angel is made up of two angles with measures
⇒ 'x-7' and '57'
⇒ when these two angles are added up they are equal to the larger
angle that is 180 degrees in measure
Let's set up a mathematical equation based on the information and deduction:
[tex](x-7)+57=180\\x-7+57 = 180\\x + 50=180\\x = 130[/tex]
Answer: The value of x is 130
Hope that helps!
A perfect square is a number that is the square of a whole number. For example, 25 is a perfect square because it is the square of 5: 5 × 5 = 25. How many perfect squares are greater than 0 but less than 1000?
Answers
Perfect squares are squares of integers and since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000
What are perfect squares?A perfect square is a number that is the square of a whole number. For instance, 36 is a perfect square being the square of 6.
Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324... 961.
Since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000.
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Answer:
Since 961 is the square of 31, it shows that there are 31 perfect squares greater than 0 but less than 1000.
write 0.004 as a fraction in words.
Answers
Step-by-step explanation:
0.004 as a fraction is 1/250
one over two hundred and fifty
Answer:
one over Two hundred and fifty
Step-by-step explanation:
As we can see the 4 is 2 zeros away from the decimal point. This means that 4 must be in the thousandths place.
Therefore our answer is four thousandths.
Remember that we it is behind the decimal point, it becomes ths at the end.
To change this into a fraction we should get 4/1000 by taking the words literally.
Dividing both sides by 4 gives us 1/250
1/250 in words is one over Two hundred and fifty
I guess
Brainliest if helped
A space ship travels at 8 2 miles per hour and traveled for 81 8 hours.
Select the answer that represents how many miles the space ship traveled.
Answers
Answer:
D
Step-by-step explanation:
8^2 m/hr * 8^18 hr = 8^(2+18) = 8^20 miles
Just answer the question RN im in a rush
Answers
Answer:
https://brainly.com/question/27407610
Step-by-step explanation:
You roll a 6 sided die. what is P?
Answers
Answer:
Finding the probability of a single die roll requires little effort.
First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are {2,3,5}. Since there are six sides, your answer is:
P(prime) = 3/6 = 1/2 = 50%
Write the product as a power: 12 x 12 x 12
Answers
Answer: It would be 12 to the power of 3
Step-by-step explanation: You can see there are three 12 so you add a tiny little three on the top of 12 so it could be 12 to the power of 3.
Answer:
12x^3
Step-by-step explanation:
The power (exponent) is however many times the base (12) is multiplied by itself. Do NOT confuse this by 12 x 3.
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)? g(x) = (x 9)2 4 g(x) = (x 9)2 − 4 g(x) = (x − 4)2 9 g(x) = (x 4)2 9
Answers
A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,
[tex]g(x) = (x-4)^2+9[/tex]
Hence, the function that will represent g(x) is g(x)=(x-4)²+9.
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Answer:
Option C. g(x) = (x - 4)² + 9
Step-by-step explanation:
The given function is f(x) = x². Following transformations have been done to get the new function as followed
for 9 units up
The parent function f(x) will become as g(x) = x² + 9
then 4 units shifted to the right
Then the new function becomes g(x) = (x - 4)² + 9
What’s The Answer To This? Please Help Fast
Answers
Step-by-step explanation:
Sum interior measure of triangle = 180°
Sum interior measure = (n-2)180
Where n is the no. of sides
Sum interior measure = (n-2)180
=(3-2)180
=180°
61+42+x =180
103+x =180
x = 180-103
x = 77°
Good Luck
The sum of a number and twelve is 21 what is the number. Pls help fast!
Answers
Answer:
9
Step-by-step explanation:
In order to find what needs to be added, you can subtract the number your already have. In this case, subtract twelve from twenty-one.
21 - 12 = 9
To check, we can add nine to 12 and see if it works.
12 + 9 = 21 is correct.
So 9 is our answer.
Brainliest please?
The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.
What are linear equations?Linear equations are relations between two expressions having their degree less than or equal to 1.
How do we solve the given question?In the question, we are given that the sum of a number and 12 is 21.
We are asked to find the number.
We assume the number to be x.
∴ The sum of a number and 12 is expressed using the expression: x + 12
This expression is equal to 21, which can be represented by the linear equation: x + 12 = 21.
To find x, we solve this linear equation using the given steps:
Equation: x + 12 = 21
Subtract 12 from both sides of the equation: x + 12 - 12 = 21 - 12
∴ x = 9.
∴ The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.
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