The measure of the third angle is; 28 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
Let the third angle be x
Given that One angle of a triangle measures 12 degrees. the second angle's measurements is five times the third.
We know that in a triangle the angles add up to 180 degrees.
so, 12 + 5x + x = 180.
Then we get
6x =168
x =28 degrees.
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The angle between 0 and 2 π in radians that is coterminal with the angle 62 9 π in radians is
8π/9 is coterminal with 62π/9 and lies between 0 and 2π.
Given that, the angle between 0 and 2 π in radians that is coterminal with the angle 62π/9 in radians.
What is the coterminal with the angle?The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it.
To find a coterminal angle, add or subtract any multiple of 2π, that is
62π/9 - 2π = (62π-18π)/9
44π/9 - 2π = 26π/9
26π/9 - 2π = 8π/9
Therefore, 8π/9 is coterminal with 62π/9 and lies between 0 and 2π.
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What is the answer to this question please explain...
PLEASE HELP 20 POINTS!!!!!!!!! The graph below shows a system of equations: Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2 The x-coordinate of the solution to the system of equations is__________
The perimeter of to similar polygon is 20 and 28. On side of the smaller polygon is 4. Find the corresponding side of the larger polygon
Final answer:
The corresponding side of the larger polygon is 5.6 units, found by setting up a proportion between the sides and the perimeters of the similar polygons. Scaling a square's side length by 2 makes its area 4 times larger, reflecting the square of the scale factor.
Explanation:
To solve the problem of finding the corresponding side of the larger polygon, we must use the property that the perimeters of similar polygons are proportional to their corresponding sides. Given that the perimeters are 20 for the smaller polygon and 28 for the larger one, we can set up a proportion to find the length of the corresponding side.
Let x be the length of the corresponding side in the larger polygon. The ratio of the perimeters is the same as the ratio of any pair of corresponding sides. Since we have a side of the smaller polygon being 4, we would set up the proportion as follows:
4 / x = 20 / 28
Cross-multiplying to solve for x, we have:
4 x 28 = 20 x x
112 = 20x
x = 112 / 20
x = 5.6
Therefore, the corresponding side of the larger polygon is 5.6 units. In the context of squares, when scaling a square by a factor of 2, the area increases by the square of the scale factor. If the smaller square has a side of 4 inches, the larger square will have a side length of 8 inches. Hence, the area of the larger square is 64 square inches (8x8), which is 4 times larger than the area of the smaller square which is 16 square inches (4x4).
The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1.
The square of the sum of 7 times x and 3 would be written as
[tex](7x+3)^2[/tex]
and 4 times the difference of x and 1 is written as
[tex]4(x-1)[/tex]
Mathematically, it is expressed as
[tex]\dfrac{(7x+3)^2}{4(x-1)}[/tex]
Hence, Third option is correct.
The opening of the tunnel can be modeled by the graph of the equation y=-0.18x^2+4.4x-12 where x and y are measured in feet. Find the maximum height of the tunnel.
Janey bought a used bicycle for $640. the bike was 3 years old when she bought it, and cost $850 new. assuming it decreases in value by the same amount each year, write a linear equation for the value of the bicycle, v, when it is t years old (so t = 0 was when it was new).
Paul is going to buy a collectible vintage painting from the local art gallery. The painting is priced at $600 in the gallery. The gallery owner does accept credit cards but pefers cash. In fact, he offers to give Paul a 5% discount if he can pay in cash. Paul doesn’t have any cash but can get a cash advance on his credit card. His credit card has and APR f 16% in credit purchases and a 32% APR on cash advances. Assuming Paul wants to pay the painting off over 12 months, which of the following is true?
Answer:
Answer ended up being "B" just finished the test and this is one i got wrong, however it lets you see the correct answer, which again was option "B"
Step-by-step explanation:
i gotta write some words here my guy. good luck tho
The Campbell family has a disposable income of $60,000 annually. Assume that their marginal propensity to consume is 0.8 (the Campbell family spends 80% of new disposable income on consumption) and that their autonomous consumption spending is equal to $10,000. What is the amount of the Campbell family\'s annual consumer spending?,
The annual consumer spending of the Campbell family is $58,000.
Explanation:To calculate the amount of the Campbell family's annual consumer spending, you need to consider their autonomous consumption spending and their marginal propensity to consume. The autonomous consumption spending is $10,000, which means that even if their disposable income is zero, they will still spend $10,000. The marginal propensity to consume is 0.8, so for every additional dollar of disposable income, they will spend 80 cents. To find the annual consumer spending, you can use the formula: Consumer Spending = Autonomous Consumption Spending + (Marginal Propensity to Consume * Disposable Income). In this case, the disposable income is $60,000, so the annual consumer spending would be $10,000 + (0.8 * $60,000) = $58,000.
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The distance from the origin to the point (-24, 32) is
A product transformation _____.
multiplies coordinates to transform the image
combines the coordinates of multiple transformations
finds the result of combining multiple transformations
uses a scale factor to multiply coordinates of the image
Answer:
The answer is C
Step-by-step explanation:
Which expression is equivalent to 3^12 • 7^9
Can someone do question 3 by showing step by step solutions
6.2 practice a 6th grade
The owner of a garden center delivers bags of mulch. Each bag is sold for $6. The owner spends $16 for transportation to deliver the bags. Which of the following is the slope of the profit function for the garden center owner per delivery? Answer Choices m=6 m=−6 m=16 m=−16
Please help me. Thank you.
Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?
Jacob drew the similar triangles below to represent the sides of two bicycle stunt jumps. The area of the smaller triangle is 36 square inches. what is the area of the larger triangle?
A. 54
B.108
C. 324
D. 432
PLEASE HELP ME ON THIS!!!!
Angle 1 and angle 3 are complementary and angle 1 =~ angle 2 which one of these statements will always be true
4.Krissa drew a circle with a radius of 4 inches.
Fill in the blanks.
The area of the circle is _______ square inches and the circumference is _______ inches.
64π, 16π
16π, 8π
16π, 64π
8π, 16π
To calculate the area of a circle, use the formula A = πr², where r is the radius. For this specific circle with a radius of 4 inches, the area is 16π square inches, and the circumference formula is C = 2πr, resulting in a circumference of 8π inches.
To find the area of a circle: A = πr². Substituting the given radius of 4 inches, we get Area = π(4)² = 16π square inches. The circumference of a circle is C = 2πr. Substituting the radius, we get C = 2π(4) = 8π inches.
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of
12 inches. He will make the "X" by stretching red ribbon diagonally from corner to corner. How many inches of ribbon will Peter need to make the "X"? Round your answer to the nearest inch.
i need help PLEASEEEEEEEEEE!:P Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment?
a.
$2,248.75
b.
$2,409.75
c.
$3,381.00
d.
$3,577.00
one light year is 5.88 x 10^12 miles. suppose a star is 2.23 x 10^2 light years away from earth. In scientific notation how many miles is it?
MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.
mXZ=140∘
mXSZ=220∘
What is the measure of ∠XYZ ?
Answer:
40
Step-by-step explanation:
Hey there
Could you plz help me id appreciate it so much: )
LIMITED TIME
Help! Please. I don't get this.
Anyone have the proper answer to this?
If the height of Mount Everest is about 8.8×103 meters, and the height of the Empire State Building is about 3.8×102 meters, which of these statements is true?
Answer:
option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .
Step-by-step explanation:
Given options are:-
A. There is no way to compare these heights .
B. Mount Everest is about 40 times as tall as the Empire State Building .
C. Mount Everest is about 23 times as tall as the Empire State Building .
D. The Empire State Building is about 23 times as tall as Mount Everest.
Given the height of Mount Everest is about 8.8×10^3 meters, and the height of the Empire State Building is about 3.8×10^2 meters.
Finding ratios of given heights:-
[tex]\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =\frac{8.8*10^3m}{3.8*10^2m} \\\\\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =23.15789474 \approx 23 \\\\Mount\;\;Everest=23*(Empire\;\;State\;\;Building)[/tex]
Hence, option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .
A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.
Which recursive equation represents the pattern?
an = an – 1 + 3(n – 1)
an = an – 1 + 3(n – 1)
an = an – 1 + (3n – 1)
an = an – 1 + (n – 1)3
Answer:
[tex]a_n=a_{n-1}+3^{n-1}[/tex]
Step-by-step explanation:
It is given that
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.
It means we have,
[tex]a_1=0, a_2=3, a_3=12, a_4=39[/tex]
We need to find the recursive equation that represents the pattern.
[tex]a_2=3\Rightarrow 0+3=a_1+3[/tex]
[tex]a_3=12\Rightarrow 3+9=a_2+3^2[/tex]
[tex]a_4=39\Rightarrow 12+27=a_3+3^3[/tex]
Similarly,
[tex]a_n=a_{n-1}+3^{n-1}[/tex]
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+3^{n-1}[/tex].