Answers
Arc \(RMP\) has a measure of \(360^{\circ}-120^{\circ}=\boxed{240^{\circ}}\).
Using the tangent-tangent theorem,
\(m\angle RQP=\frac{240^{\circ}-120^{\circ}}{2}=\boxed{60^{\circ}}\)
Related Questions
Write the slope -intercept of , Slope=1/4,y-intercept =4
Answers
Answer:
Hi, there your answer will be
\(y=\frac{1}{4}x+4\)
Step-by-step explanation:
Also, if you don't know the slope-intercept form here it is
Y=mx+b
m=slope
b= y-interecept
Hope this helps :)
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answers
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
Does (–1, 2) make the equation y = x + 9 true?
Answers
Answer:
(-1, 2) does not make the equation y=x+9 true.
Step-by-step explanation:
y=x+9
(-1, 2)=(x, y)
2=(-1)+9,
-1+9=8,
2 does not equal to 8.
Answer: No.
6.3 + 6.4 + 9.4
what is the sum of?
Answers
Answer:
22.1
You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.
Rad
Deg
x!
Inv
sin
ln
π
cos
log
e
tan
√
Ans
EXP
xy
(
)
%
AC
7
8
9
÷
4
5
6
×
1
2
3
−
0
.
=
+
Answer:
22.1
Step-by-step explanation:
there is your answer have a great day
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Find the volume of the cone.9 cmr= 6 cmV = [?] cm3
![Find the volume of the cone.9 cmr= 6 cmV = [?] cm3](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/TwI1Vjqfk8a7nGfGaJyKrkTYfcrNpMzb.jpeg)
Answers
The radius of cone is r = 6 cm.
The height of cone is h = 9 cm.
The formula for the volume of cone is,
\(V=\frac{1}{3}\pi\cdot r^2\cdot h\)Substitute the values in the formula to determine the volume of cone.
\(\begin{gathered} V=\frac{1}{3}\pi\cdot(6)^2\cdot9 \\ =339.29 \\ \approx339.3 \end{gathered}\)Thus, volume of cone is 339.3 cm^3.
the sum of two numbers is 5 and difference of their square is 5 find the difference if number
Answers
Answer:
x+y=5...i
x²-y²=5...ii
from i, x+y=5
x=5-y...iii
substitute iii in ii
(5-y)²-y²=5
25-2y²=5
2y²=20
y²=10
y=✓10
put y=✓10 in i
x+✓10=5
x=5-√10
Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answers
Answer:
Step-by-step explanation:
Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
Answers
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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Please anyone that can help me
Answers
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
A car travels 10 km southeast andthen 15 km in a direction 60° north ofeast. Find the direction of the car'sresultant vector.
Answers
We need to find the angle x, so let's find the angle of the first two vectors:
\(\theta_1=\frac{270+360}{2}=315\)\(\theta_2=60\)so:
\(v_x=10cos(315)+15cos(60)=14.57\)\(v_y=10sin(315)+15sin(60)=5.91\)Therefore, the angle is:
\(\begin{gathered} \theta_r=tan^{-1}(\frac{v_y}{v_x})=tan^{-1}(\frac{5.91}{14.57}) \\ \theta_r=22.11^{\circ} \end{gathered}\)Answer:
The direction of the car's resultant vector is 22.11⁰
Evaluate log4 exponent 0.5
Answers
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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on a coordinate plane, three of the four verticles are located at the points (0,0), (5,5) and (6,2). what is the area, in square units, of the rectangle?
A.20
B.
\(10 \sqrt{5} \)
C.32
D.
\(20 \sqrt{5} \)
Answers
Answer: o believe the answer is D hope it helps
Step-by-step explanation:
2/3 es equivalente a 4/5?
Answers
we can conclude that 2/3 is not equal to 4/5.
To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.
To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.
For 2/3 and 4/5, we have:
2 * 5 = 10
3 * 4 = 12
Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.
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You spend $65 on a meal including tax and want to leave a tip that is 20% of the $65. What is the total cost, with the tip ?
Answers
Answer:
$78
Step-by-step explanation:
20% of 65 = 13
13 + 65 = 78
Graph the set of points. Which model is most appropriate for the set?
(-2,3), (-1,-3), (0, -5), (1, -3), (2,3)
Answers
Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).
What is Linear, Quadratic, & Exponential Models?A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola.The y-values in a linear connection differ by an equal amount. The y-values have identical ratios in an exponential relationship.First differences are constant in linear functions. Second differences in quadratic functions are always the same. A constant ratio characterises exponential functions.Based on an equation like: where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.Learn more about Linear, Quadratic, & Exponential Models refer to :
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What is mZDFE?
E
m2DFE =
74⁰
G
LL
D
Answers
The measure of angle DEF is 37 degrees.
What is chord in circle
In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.
Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).
Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.
Since G is the center of the circle, the angle DGE is a central angle of the circle.
Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.
Let x be the measure of angle DEF. Then, we have:
2x = 74
x = 37
Hence, the measure of angle DEF is 37 degrees.
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Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answers
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
If a 6–foot–long ladder leans against a building at an angle of 62 , which of the following triangles accurately represents this situation?
Answers
The triangle formed is a right triangle and the hypotenuse side is 6 ft.
How to represent right triangle?The situation forms a right angle triangle.
A right triangle has one of its angles as 90 degrees.
Therefore, the triangle is represented below
The hypotenuse side of the right triangle is 6 foot, which is the length of the ladder.
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15-3x=-6 what is the answer
Answers
Answer:
x=7
Step-by-step explanation:
differentiate between factors and prime factors use relavant examples in your explanations?
Answers
Answer:
The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.
How many 1/9's in 31
Answers
There are a total of 279 1/9s in 31.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To find out how many 1/9's are in 31, you can divide 31 by 1/9.
This can be simplified by converting the division of a fraction to multiplication with its reciprocal:
31 ÷ (1/9) = 31 × (9/1)
Simplifying the expression on the right side gives:
31 × 9 = 279
So there are 279, 1/9's in 31.
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-4(3x - 2x + 4y)
Simplify the expression
Answers
Answer:
− 4 x − 16 y
Step-by-step explanation:
Answer:
− 4 x − 16 y
Step-by-step explanation:
A jar has marble ms in these three colors only: 7 green, 10 blue, 3 red.
What is the probability of randomly choosing a green marble, after choosing (and keeping) a red marble?
Answer with a percentage rounded to the nearest tenth.
Answers
The probability of randomly choosing a green marble after you have chosen red is 4.4%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
= 5/20 * 3/19
= 3/68
percentage = 3/68 * 100 = 4.4%
Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%
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write each info entire radical √48
Answers
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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a stack of 20 identical boxes. The stack is 180cm tall, Julia then removes 3 boxes from the top. How tall is the stack now
Answers
A stack of 20 identical boxes are 180 cm tall, then after removing 3 boxes from the top it is 153 cm tall.
As given in the question,
Number of identical boxes in a stack=20
Stack of 20 identical boxes are 180 cm tall
Height of 1 box=180/20
=9cm
Julia removes 3 boxes from the top
Height of 3 identical boxes=9 × 3
=27 cm
Height of stack after removing 3 boxes from the top
=Original height - height of 3 boxes
=180 -27
=153cm
Therefore, a stack of 20 identical boxes are 180 cm tall, then after removing 3 boxes from the top it is 153 cm tall.
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Expand and simplify (2x - 1)(x + 3)(x - 5)
Answers
Answer:
2x^3-5x^2-28x+15 -------------------------expanded
2x^3-5x^2-28x+15--------------------simplified
Step-by-step explanation:
\left(2x-1\right)\left(x+3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
simplyfied
\left(2x^2+5x-3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
=2x^3-5x^2-28x+15
What is the value of x in the equation X=-45?
O-75
O -27
O 27
O 75
Answers
Answer:b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Identity the composite number represented by the prime factorization below
22 X 32 X 7
It’s exponents
Answers
Answer:look below
Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.
However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.
Answer:
2464
Step-by-step explanation:
prime factors : 32,11,7
32×11×7=2464
The price of a desk was originally $80. The desk is now on sale for 16% off. What is the sale price of the desk? Use y to represent the sale price of the desk and write an equation to represent the problem.
Just write me the equation
Answers
y = 80 - 0.16*80