now, let's make the assumption that the arcXZ has a central angle of 135° and a radius of 17.
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=17\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (17)}{180}\implies s=\cfrac{51\pi }{4}\implies s\approx 40.06[/tex]
What is the measure of angle x?
Enter your answer in the box.
x = ?°
Answer:
x = 43°
Step-by-step explanation:
The three angles to the right of the diagonal line add up to give the angle measure of the line:
x +90° +47° = 180°
x = 43° . . . . . . . . . . . . . subtract 137° from both sides
What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot
The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
What is the simplified form of an equation?The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Let the simplified form of the above expression is n. Thus,
[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Rewrite the equation to solve it further as,
[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]
The square of the term cancel out the square root of it. Thus,
[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
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what is the numerical coefficient of a+4a^3-6a^2+2a^4
Answer:
2a2 • (a + 1) • (a - 3)
Step-by-step explanation:
solve quadratic function
3(x-5)^2-17=-5
Answer:
x = 3 , x = 7
Step-by-step explanation:
3(x - 5)² - 17 = - 5 ( add 17 to both sides )
3(x - 5)² = 12 ( divide both sides by 3 )
(x - 5)² = 4 ( take square root of both sides )
x - 5 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 5 to both sides )
x = 5 ± 2
then
x = 5 - 2 = 3
x = 5 + 2 = 7
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
Answer:270
Step-by-step explanation:
Length:
U = 3 inches
W = 7 inches
Y = 8 inches
Add them up: 18 inches all together.
Width:
V = 4 inches
X = 7 inches
Z = 4 inches
Add them up: 15
A= L x W —> 15 x 18 = 270
Translate the phrase into an algebraic expression.
The difference of c and 3
Answer: c-3
Step-by-step explanation:
it is wanting you to take c minus 3
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step.
Answer:
Step-by-step explanation:
2
Evaluate w+(-2) - 5 where w =
x
5
9
and
3
11
10
4
3
Yo someone help me
Answer:
Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.
does anyone know how many feet this is if i do it is 1,474 x 829 just make it into a small number
Answer:
101828.833333
Step-by-step explanation:
you have to multiply the two numbers then divide by 12
If you were to buy a $1,000 computer in Tennessee, how much would it cost in
Williamson County? How much would you save if you bought it in Davidson County?
This refers to the tax paid to a governing body for the sales of certain goods and services.
In Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5
In Davidson County , the sales tax rate is 9.25% = 9.25% × $1,000 = $1,092.5
The amount saved will therefore be $1,097.5 - $1,092.5 = $5.
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Order Least to greatest
41/5, 8.245, 8.25, 8 1/6
Answer:
8.16, 8.2, 8.245, 8.25
Step-by-step explanation:
8 1/6 = 8.16
41/5 = 8.2
Please help!!!!!!!!!!!!
Answer:
Step-by-step explanation:
∠ABD is the complementary angle to ∠BDC.
Two angles are complementary when they add up to 90°
the chef mixed a seasoning that costs $3 per ounce with a seasoning that costs $1.75 per ounce to create a 24-ounce mixture that costs $2 per ounce. how many ounces of the $3 per ounce seasoning did he use?
Answer:
4.8 ounces
Step-by-step explanation:
X= number of ounces for the $3.00 mixture of seasoning
$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture
X + 24-X = 24OZ To get the missing term we will subtract what we have from X
100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100
(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis
300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200
300X - 175X = 4,800 - 4,200 Combine Like Terms
125X = 600 Get X alone
125 125 To get X, we will divide both sides by 125
X = 4.8 OZ
The chef used 4.8 ounces of the $3.00 seasoning
MIGHT GIVE BRAINLIEST.
Calculator What is the surface area of the square pyramid?
Answer:
I need to know the dimensions to solve
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)
Answer:
A = 3x² - x - 10
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width , then
A = (3x + 5)(x - 2)
each term in the second factor is multiplied by each term in the first factor.
A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis
= 3x² - 6x + 5x - 10 ← collect like terms
= 3x² - x - 10
Answer:
A = 3x² - x - 10
Step-by-step explanation:
A = length × width
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x² - 6x + 5x - 10
A = 3x² - x - 10
White gold is made from gold, palladium, nickel and zinc in the ratio 15:2:2:1. A white gold ring contains 9g of gold. What is the mass of the ring?
Answer:
The mass of the ring is 12 grams.
Step-by-step explanation:
Total 20 parts
Gold 3/4 total mass (15/20)
3/4=9g
1/4=3g
4/4=12g
Answer:
mass of the ring = 12 g
Step-by-step explanation:
Given ratio
gold : palladium : nickel : zinc = 15 : 2 : 2 : 1
Add the ratios: 15 + 2 + 2 + 1 = 20
Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.
Let the mass of the ring = x
As the ring containts 9 g of gold
[tex]\sf \implies \dfrac34x=9[/tex]
[tex]\sf \implies x=9 \cdot \dfrac43[/tex]
[tex]\sf \implies x=12[/tex]
Therefore, the mass of the ring is 12 g
comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.
One side of this regular hexagon has been extended to form an exterior angle.
Use given information to find m Angle p.
Check the picture below.
Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?
For the first boat, 6 knots at a bearing of N39, and for the second boat 4 knots at a bearing of S87°W. the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as
V'=22.93KmB=132°What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?Generally, the Relative speed is mathematically given as
V=\sqrt{4^2+6^2+2(4)(6)cos(48)}
V=\sqrt{52+48(0.669)}
X=9.17Knots
Hence, distance b/w the boats
V'=9.17Knots*2
V'=18.34
V'=22.93Km
In conclusion, the bearing of 1st to 2nd boa ist
B=39+90+(90-87)
B=132°
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Find the 12th term of the geometric sequence 1, -4, 16,
Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then
a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304
A triangular garden has an area of 144 ft² If the base is 8 ft long, what is the height? 9 ft 18 ft 36 ft 48 ft.
Answer:
36 feet
Step-by-step explanation:
Hello!
Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]
That means the equations is 144 = 0.5(8 * h)
Solve:
144 = 0.5(8) * h144 = 4 * h144 = 4h36 = hThe height is 36, but since the units are feet, it is 36 feet.
In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.
[tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]Here,
l is length b is breadthTo calculate :
Height of the triangle? (i.e. length)We have :
length (l) = 8ft Area (A) = 144 ft²Putting the values in formula :
[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]
Henceforth,
Height is of 36 ft.What is the value of g?
130
g
Answer:
g is 50 degrees
g is a supplement of 130 so they add up to 180
Answer:
The angel G:
= 50 degrees
A straight line is 180 degrees. The is already an angel has shown that takes up the majority of the line which is 130 degrees.
180 degrees - 130 degrees = 50 degrees
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
London deposits $320 every month into an account earning a monthly
interest rate of 0.45%. How much would she have in the account after
11 years, to the nearest dollar? Use the following formula to determine
your answer.
-
A=d
a(" --
(1 + i)" – 1
i
A the future value of the account after n periods
d the amount invested at the end of each period
i the interest rate per period
n = the number of periods
Based on the amount that London deposited every month and the number of years involved, London would have $57,515.16.
How much would London have in 11 years?The amount that London deposits every month is an annuity because it is a fixed amount.
The value in 11 years is therefore the future value of an annuity which can be found as:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
The number of periods is:
= 11 years x 12 months
= 132 months
Future value is:
= 320 x ( ( 1 + 0.45%)¹³² - 1) / 0.45%
= $57,515.16
Find out more on annuities at https://brainly.com/question/9293270.
I need help I’m not sure what this answer is
The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).
What is an Equivalent Statement?Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.
An example of equivalent statement besides the one given already is:
A cat is an animal.
A pet is an animal you own.
Therefore owning a cat is the same as owning a pet.
Therefore:
If Jake owns a cat then he owns a pet.
If Jake doesn't own a pet then he doesn't own a cat.
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1. Solve for X B(100,0.001), for x = 0
a. 0.905
b. 0.917
c. 0.999
d.0.976
Answer:
a) 0.905 (3 dp)
Step-by-step explanation:
Binomial distribution X ~ B(n, p)
where n is the the number of trials and p is the probability of success
Binomial formula:
[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]
Given: X ~ B(100, 0.001)
Therefore, n = 100 and p = 0.001
Substituting these values into the binomial formula and solving for x = 0:
[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]
[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]
[tex]\implies P(X=0)=0.9047921471...[/tex]
[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]
Sharon and Paul gave a 15% tip after having their hair cut. The amount of the tip was $6. Sharon's
haircut cost $25. Write and solve an equation to find x, the cost of Paul's haircut?
Answer: 31
Step-by-step explanation:
25+6 which equals the answer 31!
Graph f(x) = -x-3.
Use the line tool and select two points to graph the line.
Answer: Look at the screenshot
Step-by-step explanation:
Ive added a screenshot of what this graph should look like
Answer:
*View attached graph*
Step-by-step explanation:
I graphed 6 points, so you are able to choose the ones you want :)
*View attached graph*
Hope this helps!
Select all ordered pairs that correspond to input-output pairs of the function y = −9x + 5
A: (-22, 3)
B: (4, 0)
C: (8, -67)
D: (6, -49)
Step-by-step explanation:
input is C and D and output is A and B
please help me with this question , we are now just learning it .
Answer:
angle 1=angle 4 ( vertical opposite angle)
A company has an opportunity to bid on three contracts. determine which would be the best investment given the information in the table below. probability of profit and loss by contract contract profit, probability of profit probability to break even loss, probability of loss southeast $45,000, 50% 30% $6,000, 20% southwest $60,000, 35% 40% $10,000, 25% california $112,000, 20% 40% $40,000, 40% southeast southwest california all contracts include a probability for loss.
The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.
Contract profit, (P)* of profit, (P)* to break even loss, (P)* of loss
Southeast $45,000, 50% 30% $6,000, 20% Southwest $60,000, 35% 40% $10,000, 25% California $112,000, 20% 40% $40,000, 40%The company which will give the maximum profit probability and minimum loss probability will be the best investment.
In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.
Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
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Answer:
It's A. Southeast
Step-by-step explanation:
What does n equal? Please help!
Answer:
x=0
Step-by-step explanation:
because you divide by x^12
x^n=x^0
x=0