The measure of ∠Z is 165 degrees to the nearest degree.
In a triangle, the measure of each angle is equal to the sum of the measures of the other two angles subtracted from 180 degrees. This is known as the Triangle Sum Theorem.
Given that x = 5.2 inches, y = 9.8 inches, and z = 7.1 inches in triangle XYZ, we can use the theorem to find the measure of angle Z.
∠Z = 180 - (x+y)
∠Z = 180 - (5.2+9.8)
∠Z = 180 - 15
∠Z = 165
So the measure of ∠Z is 165 degrees to the nearest degree.
Therefore, The measure of ∠Z is 165 degrees to the nearest degree.
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P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)
Answer:
P=4×5+3×-2
P= 20x-6y
4e²+8e
A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?
which is 9% written as a decimal A) 0.009 B) 0.09 C) 0.9 D) 9.0 E) 90.0
Answer:
B.
Step-by-step explanation:
I used the percent button on my calculator. :)
Hope this helps
Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.
Part A
What is her new rate?
Answer $ _____ per lawn
Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn
Answer:
Rate when price rises 20% = $36
Rate when price downs 20% = $24
Step-by-step explanation:
Given:
Current rate to mow = $30 per lawn
Find:
Rate when price rises 20%
Rate when price downs 20%
Computation:
Rate when price rises 20%
Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]
Rate when price rises 20% = 30 + 20%[30]
Rate when price rises 20% = 30 + 6
Rate when price rises 20% = $36
Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]
Rate when price downs 20% = 30 - 20%[30]
Rate when price downs 20% = 30 - 6
Rate when price downs 20% = $24
Pls help I need it now!!
Answer:
42
Step-by-step explanation:
Look at image to answer
1350000 because 20x15 and 30x15
Answer:135000 ft^2
Step-by-step explanation:
In ΔDEF, e = 11 cm, f = 44 cm and ∠D=41°. Find the area of ΔDEF, to the nearest square centimeter.
Answer:
Not Rounded- 158.766
Rounded- 159
Step-by-step explanation:
Delta Math
What is the value of x in3 √ x 9?
In the given equation x = 9 is the value that satisfies the equation.
What are Square root?The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".
In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.
To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.
[tex]3 \sqrt{x} = 9[/tex]
Squaring both sides:
[tex](3 \sqrt{x} )^2 = 9^2[/tex]
[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]
Therefore, x = 9 is the value that satisfies the equation.
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Please help?!!!¡¡!!!
Answer:
Option B, [tex]\sqrt[6]{\frac{x}{4} }[/tex]
Hope this helps!
The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Answer:
Step-by-step explanation:
$66.67/month for three months
The monthly payment is calulated by dividing the total cost of the mountain bike by 3. For example, if the total cost is $200, the three monthly payments will be $66.67 each:
$200
---------------- = $66.67/month for three months
3 months
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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What is value of x
Enter your answer in the box.
Answer:
x=10
Step-by-step explanation:
Lets use a ratio.
3:2 (12 to 8)
We need to scale the x+4 up 3/2 to be equal to 2x+1
(3/2) x+4 = 2x+1
1.5x+6=2x+1
-1.5x -1.5x
6=0.5x+1
-1 -1
0.5x=5
x=10
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
Solve the equation below on the interval [0, 2pi). Select ALL that apply.
cos^2x-1=0
A. 0
B. pi/2
C. pi
D. 2pi
18 different rides. cost 1.75 the function c(R)=1.75
Answer:
Step-by-step explanation:
Domain= [0,18], Range = [0,31.50]
If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]
Question 10 options:
Which is not a property of a parallelogram?
A) All sides are congruent. B) Diagonals are perpendicular bisectors of each other. C) Opposite angles are congruent. D) Diagonals are congruent.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.
A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.
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which is the correct comparison of solutions for 2(5-x) > 6 and 22 > 2(9+x)?
The correct comparison of solutions for the expression is x < 2
How to determine the correct comparison of solutions for the expressionFrom the question, we have the following parameters that can be used in our computation:
2(5-x) > 6 and 22 > 2(9+x)
Rewrite the expression properly
So, we have the following representation
2(5 - x) > 6 and 22 > 2(9 + x)
Divide both sides of the expressions by 2
So, we have the following representation
5 - x > 2 and 11 > 9 + x
Subtract both sides of the expression by the constant term
This gives
-x > -3 and 2 > x
Rewrite as
x < 3 and 2 > x
So, we have
x < 3 and x < 2
When combined, we have
x < 2
Hence, the solution is x < 2
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Personal Finance
Which of these is an economic good?
a motel room
camping in a cave
fresh air
water from a spring
Answer:
Fresh air
Step-by-step explanation:
Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx
The numeric value for each trigonometric expression is given as follows:
3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]
4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]
How to obtain the numeric value for the trigonometric expressions?The first trigonometric expression for this problem is defined as follows:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]
The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:
[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).Hence:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]
For item 4, the angles are on the first quadrant, hence:
[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]Hence the numeric value of the expression is given as follows:
[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]
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Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 5.
A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property
What is meant by halting problem?
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
Describe a tractable problem.an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.
Here,
The halting problem claims that no computer can be created that can anticipated.
the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.
Software development is directly affected in practice by the stopping problem's insoluble nature.
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
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help me plssss it’s due tonight
Answer:
Answer choice A
Step-by-step explanation:
This is the midpoint of both coordinates.
Why are fossil fuels considered nonrenewable resources?
A.
They create pollution and people have to clean it up.
B.
They are found underground and must be processed.
C.
They cannot be found in nature and have to be made.
D.
They cannot be replaced as fast as they are being used.
Answer:
D They cannot be replaced as fast as they are being used
HELP!! Find the value of…
Answer:
It C man.
Step-by-step explanation:
You don't need this
Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi
The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.
What is the function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Given:
f(x)=√x - 2 + 3.
The inverse function can be found as shown below,
f⁻(x) = √(y - 2) + 3 (Replace x by y)
x = √(y - 2) + 3
solve the equation as shown below,
x - 3 = √(y - 2)
Squaring both sides,
(x - 3)² = [√(y - 2)]²
x² + 9 - 6x = y - 2
x² + 9 - 6x + 2 = y
y = x² - 6x + 11 or y = (x - 3)² + 2
Thus, the inverse of the function is (x - 3)² + 2.
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find the measure indicated in each parallelogram
Answer:
Step-by-step explanation:
WX≅VY
VY = 7
CD≅BE
BE = 13
Find A in degrees. Round to the nearest tenth.
a=7
b=4
c=8
A=[?]°
Answer:
61 degrees.
Step-by-step explanation:
Use the law of cosine.
In this case, the law of cosine is:
7^2=4^2+8^2-2(4)(8)cos a
Meaning:
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Answer: 61 degrees
Step-by-step explanation:
7^2=4^2+8^2-2(4)(8)cos a
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.