The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
What is trigonometry?
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes.
The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry.
These functions' inverses are designated by the notations csc(-1)x, cos(-1)x, cot(-1)x, sec(-1)x, sin(-1)x, and tan(-1)x.
Keep in mind that f(-1) here refers to the inverse function, not f to the -1 power.
According to our question-
the biggest angle on a wire that is 30 inches long and bent into a triangle with sides that measure 6 inches, 11 inches, and 13 inches.
cosine rule is given as
cosa= a^2 + b^2 + c^2/2ab
cosa = 36 + 121 - 169/132
a = 95.22°
Hence, The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
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Find the value of x (and y, if applicable)
Answer:
13√(2) = x
Step-by-step explanation:
The given is an isosceles triangle so the two side lenghts are same (13 units)
in right triangles the square lenght of the hypotenus is equal to sum of two side's square lenght
13^2 + 13^2 = x^2
169 + 169 = x^2
338 = x^2
13√(2) = x
The figure shows two circles, with centers A and B, externally tangent at point C. The common tangents to the two circles meet at point P and AP = 30. If the radius of the circle with center A is 10, what is the length of BP?
The length of the line segment BP = 15 using the trigonometric ratio of sine for the angle P.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the right triangles formed by points at P, A and the tangent to the bigger circle with its radius as base;
radius r = 10 and hypotenuse AP = 30
sinP = 10/30 {opposite/hypotenuse}
sinP = 1/3
Also for the smaller circle, with right triangle formed by points at P, B and the tangent to the smaller circle with its radius as base;
radius r and hypotenuse BP = 20 - r
sinP = r/(20 - r)
1/3 = r/(20 - r)
3r = 20 - r {cross multiply}
3r + r = 20 {collect like terms}
4r = 20
r = 20/4 {divide through by 4}
r = 5
BP = 20 - 5
BP = 15
Therefore, length of the line segment BP is derived using the trigonometric ratio of sine as 15.
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help please (photo attached)
Answer:
slope = -1
Step-by-step explanation:
any 2 points:
(2,2) (0,4)
to find the slope we use the formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
slope is:
2/-2 = -1
Answer:
The slope is =
2/-2 = -1
Step-by-step explanation:
Also i hope you have a wonderful day !
The table shows the number of students going on a field trip one chaperone is needed for every 12 students
Answer:
I'm not sure what equation is needed here. Could you share the table?
Either way, you can take the number of students there are and multiply that to the number of chaperones needed per group of 12- basically see how many groups of 12 you can fit in the overall group of students
Are the ratios 8:6 and 6:4 equivalent
Answer:
no it is not equivalent
Step-by-step explanation:
4/3is not equal to 3/2
Answer:
yes
Step-by-step explanation:
not as a fraction, but as ratios they are equivalent
5. The markings on the number line are evenly spaced. Label the other markings on
the number line.
-30
0
45
Answer:
Step-by-step explanation:
i don't know if this help :/
THIS IS KINDA HARD I NEED HELP
Answer:
4
Step-by-step explanation:
Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.
(12^3) ^7
^^ Rewrite the following using a single exponent
Answer:
[tex]12 {}^{21} [/tex]
Step-by-step explanation:
Multiply the exponents, hope it helped. If you need a more in depth explantion on how to do it then I can :).
30% of n = 84
please help I'll put as brainlisest
Write 30% as 30100Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
30100 of 84 = 30100 × 84Therefore, the answer is 25.2
If you are using a calculator, simply enter 30÷100×84 which will give you 25.2 as the answer.
One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.
(Assume that the computers do not back up at the start of the 24-hour period.)
Answer:
Since the two computers back up at different intervals, we can find the least common multiple of the two intervals to determine how often they back up at the same time. The least common multiple of 5 and 2 is 10. Therefore, the two computers will back up at the same time every 10 minutes. In 24 hours, there are 60 minutes/hour * 24 hours = 1440 minutes. Dividing this by the interval of 10 minutes gives 1440 minutes / 10 minutes/backup = 144 backups. Therefore, the two computers will back up at the same time 144 times in 24 hours.
Step-by-step explanation:
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x+8
-36x-9
-36x+9
Answer:
-36x+9
Step-by-step explanation:
Answer:
-36x + 9. i hope this help :)))
Philip is having a party and wants to spend less than $572. He has already spent $500. The only item left on his list is sodas, which cost $8 per case. How many cases of soda, x, can Philip purchase and stay under his budget? Select the number line that includes the largest number of cases of soda that Philip can purchase and still stay under his budget.
Answer:
x = 8
Step-by-step explanation:
572 - 500 = 72
72 / 8 = 9.
But in order to spend less than 572, he has to buy 8 cases. If he buys 9 cases he will be exactly 572.
Answer:
9 or fewer cases
Step-by-step explanation:
Solving a two step equation:
First, determine how much he has left to spend
572 - 500 = 72
He has 72 dollars left to spend on soda
Each case is 8 dollars.
Divide how much he has to spend by the cost of each case
72/8 = 9
He can buy up to 9 cases and stay under budget.
Word Problems
1) Sandy has 22 books in her library. She bought several books at a yard
over the weekend. She now has 61 books in her library. How many be
did she buy at the yard sale?
) How many ink cartridges can you buy with 143 dollars if
one cartridge costs 11 dollars ?
) Melanie is baking a cake. The recipe calls for 6 cups of flour. She alre
4 cups. How many more cups does she need to add ?
Answer:
1) 39
2) 13
3) 2
Step-by-step explanation:
1) She had 22 books, she now has 61 books, so she bought 61-22 = 39 books at the yard sale.
2) 143/11 = 13
3) 6-4 = 2
Maria finished with 160 percent of her original amount. If she finished with 7200, what was Maria's original amount
On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
the equation will be
1.8x=7200
x=7200/1.8
x=4000
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Some one please help me!!
What is the value of X?
Answer:
4 kkkkkkkkkkkkkkkkkkkkkk
Answer: 4
Step-by-step explanation:
1. 14-6 the 6 came from both 3’s
2. 14-6=8
3. 8/2 the 2 because of the 2 x’s
4. 8/2=4
fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.
The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3, 1/5 is a fraction.
We have,
Let the fraction be a/b.
2/5 < a/b < 2/3
Now,
a/b
= (2/3 + 2/5) / 2
= (10 + 6) / 30
= 16/30
= 8/15
= 0.533
Thus,
The fraction is 8/15.
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Victor has a circular clock in his room. The long hand of the clock is the radius with a measure of 6 centimeters. The approximate circumference of the face of the clock is 37.68 centimeters. Which expression best represents the value of π ? Responses 37.686⋅6
The expression that best represents the value of π is 37.68 / 12.
What is the expression for π?The circumference of a circle is the distance round the circle. The radius of a circle is the distance from the center of the circle to any point on the circumference.
The formula for circumference of a circle = 2πr
Where:
π = pi
r = radius
π = circumference / 2r
π = 37.68 / (2 x 6)
π = 37.68 / 12
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felix wants to make a graphic design as a decoration for a new website. His initial idea for the design involves using the shapes of three parabola is graphed on a coordinate plane, as shown.
Transformation for A to B : Shift 2 unit horizontally.
Transformation for A to C : Shift 1 unit horizontally, 1 unit vertically.
Equation of Parabola A : y = - (x - 1)² + 1
Equation of Parabola B : y = - (x - 3)² + 1
Equation of Parabola C : y = - (x - 2)² + 2
What is parabola?Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It is a locus of a point, which moves so that distance from a fixed point (focus) is equal to the distance from a fixed line (directrix)
Fixed point is called focus.
Fixed line is called directrix.
Equation of the parabola having vertex (h, k).
y = a(x - h)² + k
Equation of Parabola A with vertex (1,1)
y = a(x - 1)² + 1
parabola A has point (0, 0) on it
0 = a (0 - 1)² + 1
a = -1
Equation of the parabola A
y = - (x - 1)² + 1
Shifting parabola A, 2 unit horizontally, we get parabola B
Equation of the parabola B
y = - (x - 3)² + 1
Shifting Parabola A, 1 unit horizontally and 1 unit vertically, we get parabola C
Equation of the parabola C
y = - (x - 2)² + 2
Hence, shifting 1 unit horizontally and 1 unit vertically in Parabola A we get parabola C and shifting 2 unit horizontally we get parabola B,
y = - (x - 1)² + 1 is equation of Parabola A.
y = - (x - 3)² + 1 is equation of Parabola B.
y = - (x - 2)² + 2 is equation of Parabola C.
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-2y - 10 = x -10x
- y = −14
Answer:
Step-by-step explanation:
-2y-10=x-10x
-2(-14) - 10= x - 10x
28 - 10 = x - 10x
18= x-10x
18= -9x
/-9 /-9
-2=x
Each side when you plug in (-2) for x and (-14) for y you get 18.
If, when you plug in the number, you get different numbers for each side, then that means there's a mistake and the answer is wrong.
Hope this helps!
As a 11 1/3 inch candle burns down, its height decreases 1/6 inch each hour. How many hours does it take for the candle to burn completely?
SHOW YOUR WORK
The number of hours after which the candle is burned completely is
68 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Candle height = 11(1/3) inches
Each hour the height decreases by 1/6 inch.
Now,
The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0
Solve for x.
11(1/3) - (1/6)x = 0
11(1/3) = (1/6)x
34/3 = (1/6)x
x = (34 x 6) / 3
x = 34 x 2
x = 68
Thus,
After 68 hours the candle is completely burnt.
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-2(-6+-y) in expanded form help
Answer:12+2y
Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.
Caleb and Isaiah are siblings they share a 14 segment chewy worm according to age how old could they be. Caleb gets eight pieces Isaiah gets six.
Answer:
1/6
Step-by-step explanation:
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
B
Step-by-step explanation:
It's B
First we multiply the coefficients. 6*3= 18, so we can immediately cross out A and D. Now, c^2 * c is c^3. So, its B.
Hope this helps !!
-Ketifa
Step-by-step explanation:
=>6c²*3c=>18c²+¹=>18c³given that x=2,find the value of y and z for the simultaneous equation x+y-z=1
Answer:
y=z-1, z=y=1.
Step-by-step explanation:
As x=2
So,
x+y-z=1
2+y-z=1
y-z=-1
y=z-1, z=y+1
A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Find the area of the parking lot. *
The area of the parking lot is 2,025 .81 meter2.
How do you calculate a triangle's area?In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h. Therefore, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.
A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters.
Triangle Height Determination Using Area
Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height.
s = a + b+ c /2
90 + 54 + 128 / 2 = 136
A = [tex]\sqrt{s (s-a) (s-b) (s-c)}[/tex]
A = [tex]\sqrt{136(136-90)(136-54)(136-128}[/tex])
A = 2,025 .81
The area of the parking lot is 2,025 .81 meter2.
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What are multiplying EXPONENTRAL terms with the same base which best explains how to simplify the expression
Answer:
Adding the exponents
Step-by-step explanation:
Multiplying exponential terms with the same base
To multiply exponents with same base , we use exponential property
[tex]a^m \cdot a^m=a^{m+n}[/tex]
When we multiply exponents with same base then we add the exponents
So, adding the exponents best explains to simplify the expression that has same base with exponents .
8) A rectangle is 9 feet long and has a perimeter of 32 feet. What is the width of the
rectangle? Show your work.
Answer:
288
Step-by-step explanation:
32 x 9=288
Select all the expressions that are equivalent to 16x - 12- 24x+ 4 16 x − 12 − 24 x + 4. Explain or show your reasoning.
1. 4+16x-12(1+2x)4 + 16 x − 12 ( 1 + 2 x )
2. 40x-1640 x − 16
3. 16x-24x-4+1216 x − 24 x − 4 + 12
4. -8x-8- 8 x − 8
5. 10 (1. 6x - 1. 2 - 2. 4x + 4)
1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.
what is expression?An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.
An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as
(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.
so we need to evaluate option 1 :
16x - 12 -24x +4
=> 16x - 12 -24x +4
the above expression is same as the expression mentioned in the question so option 1 is correct.
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Complete question :
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
what is the area for #2 and #4
evidence is would be greatly appreciated!
Answer:
2.)70
4.)451,17
Step-by-step explanation:
2.)
a1 = 8*5 = 40
a2 = ((20-8)*5)/2 = 30
aTotal = 40+30 = 70
4.)
a1 = 18*18 = 324
a2 = (πr²)/2 = 127,17
aTotal = 127,17 + 324 = 451,17