Answer:
∠N = 21
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180°
4x - 13 + 2x - 13 + 5x + 19 = 180
4x + 2x + 5x -13 - 13 + 19 = 180
Combine like terms
11x - 7 = 180
11x = 180 + 7
11x = 187
x = 187/11
x = 17
m∠N = 2x - 13
= 2*17 - 13
= 34 - 13
= 21
please help!! will mark brainiest to whoever gets it right!!
Answer:
x = 77
Step-by-step explanation:
x and 103 are same- side exterior angles and sum to 180°
x + 103 = 180 ( subtract 77 from both sides )
x = 77
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since he first purchased his house. for the past six months, rudy has completed some major improvements to his house to improve its overall value. if rudy successfully adds $50,000 to the value of his house, what will his new annual homeowners insurance premium be? a. $185.00 b. $315.00 c. $1,291.30 d. $1,351.14
If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
What is the annual homeowner's insurance premium?The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.
The insurance premium is calculated using some set formulas determined by these factors:
Home's valueLocationCoverage ValueSafety featuresDeductibles.Data and Calculations:Insurance premium rate = $0.37 per $100
Current insurance premium = $1,106.30
Added value to the house = $50,000
Added premium = $185 ($50,000 x $0.37/$100)
New insurance premium = $1,291.30 ($1,106.30 + $185)
Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
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Answer:
it's C......................
Step-by-step explanation:
i got 100% on egde
Give the following number
in Base 5.
1310 = [?]5
Expand 13 as 10 + 3.
10 = 2×5, so
13 = 2×5 + 3×1
or
13 = 2×5¹ + 3×5⁰ = 23₅
The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
4m=6m-2/5
First answer get to be brainliest!
Answer:
m = 1/5Step-by-step explanation:
4m = 6m - 2/5
-2m = -2/5
m = 2/5 : 2
m = 1/5The ratio of cats to dogs is
4:5. If there are 20 dogs,
how many cats are there?
29
Answer:
16
Step-by-step explanation:
Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X Solving for we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16
Please answer Asapp (Will give brainliest)!
Answer:
There is no answer as there is no question.
Step-by-step explanation:
Answer:
I added the answer to your newest problem :D
Step-by-step explanation:
Hope it helped!
A person's salary is $2000 per month. 20% of this is spent on their rent, $590 is
spent on food and $650 on other expenses. DETERMINE the percentage of their salary
has he spent in total.
Answer:
the person earned one summer = $3,600
We have to show the amount in fraction that Paula spent during the following semester,
they spent for tuition = $2,500 = × 100
=0.6944 × 100
= 69.44%
they spent for rent = $650 = × 100
= 0.1806 × 100
= 18.06%
they spent for food = $430 = × 100
=0.1194 × 100
= 11.94%
they Spent in tuition, rent and food = 2,500 + 650 + 430 = $3580
Now they spent in miscellaneous expenses = 3600 - 3580 = $20.00 × 100
= 0.056 × 100
= 0.56%
What is the perimeter of the triangle below?
48.0 units
14.7 units
16.7 units
24.0 units
would you please help me?
Answer:
52
x 6
300 6 x 5 tens
+12 6 x 2 ones
312
How do you write 7.4 × 10–2 in standard form?
Answer:
740
Step-by-step explanation:
10^2 = 100
So 7.4 * 10^2
= 740
PLEASE HELP ILL MARK BRAINEST!!!!
Find the Volume of the triangular prism
Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
__
Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
_____
Additional comment
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
The distribution of the number of words in text messages between employees at a large company is skewed right
with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected,
what is the probability the sample mean is more than 10 words?
0.0210
0.2454
0.3724
0.9790
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The z score is given by:
z = (raw score - mean) / (standard deviation / √sample size)
Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:
z = (10 - 8.6) / (4.3 / √39) = 2.03
P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
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Answer:
A. .0210
Step-by-step explanation:
I'm taking the test... could be wrong though...
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK
Round your answer to the nearest tenth if necessary.
Answer:
Heyyyy!!
The answer is 66.9
please read the explanation... it will help... I promise
Step-by-step explanation:
Okay... Here we go...
The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...
So... you basically have to find the scale factor...
(the math itself is easier than the explanation...
51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...
so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)
but yeah... i hope this helps...
Jamar read 252 pages in 3/4 of an hour. At what rate, in pages per hour, did he read?
Answer:
336 pages per hour (pretty fast)
Step-by-step explanation:
It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)
Answer:
336 pages per hourStep-by-step explanation:
Given rate is
252 pages per 3/4 of an hourDivide both numbers by 3/4 to get the unit rate per hour
252 ÷ 3/4 = 252 × 4/3 = 1008/3 = 336what is the solution for x? 6(x+4)=3x-2
......,.............
[tex]5 \times (3 \times (9 - (4 + 1))) + 20 \div 4 \times 2 [/tex]
Following BODMAS:
Brackets → Order → Division → Multiplication → Addition → Subtraction
Given Expression:
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
[first simplify following inside the brackets]
⇒ 5 × 12 + 20 ÷ 4 × 2
[then divide following]
⇒ 5 × 12 + 5 × 2
[multiply integers]
⇒ 60 + 10
[add integers]
⇒ 70
Answer:
70
Step-by-step explanation:
Solving by BODMAS :
BracketsOrdersDivisionMultiplicationAddition SubtractionGiven :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
Simplifying the brackets :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2
⇒ 5 × (3 × 4) + 20 ÷ 4 × 2
⇒ 5 × 12 + 20 ÷ 4 × 2
Dividing :
⇒ 5 × 12 + 20 ÷ 4 × 2
⇒ 5 × 12 + 5 × 2
Multiplying :
⇒ 5 × 12 + 5 × 2
⇒ 60 + 10
Adding :
⇒ 60 + 10
⇒ 70
A ball is thrown through the air, following a parabola: y= -x^2 + 4x + 4.
The land slopes upward: y = 0.5x + 2
1. Using the graph what is a solution to the system of equations?
( , )
2. What does the solution represent in this scenario?
a The point the ball reaches maximum height.
b The point where the ball meets the ground.
c The point where the ball is thrown.
Pls help me classify this asap?!!
Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3
Answer:
the last (4th) option
Step-by-step explanation:
the easiest way to find the right answer :
which of the 4 answers would deliver infinity for x = 5 ?
and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.
other indications :
the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.
and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.
looking at the graph, this has to be +3.
and again, only the 4th answer has "+3" at the end.
The function represented by the graph is y = 1(x - 5) + 3.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.
This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.
The graph of the function also has a horizontal asymptote at y = 3.
This means that as x approaches infinity or negative infinity, the value of the function approaches 3.
The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.
Thus,
The function represented by the graph is y = 1(x - 5) + 3.
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Cathy constructs diameter of circle O and then constructs the perpendicular bisector, , of. Which construction can she complete?
A.
an equilateral triangle inscribed in a circle
B.
a regular hexagon inscribed in a circle
C.
a square inscribed in a circle
D.
an isosceles trapezoid inscribed in a circle
Answer:
Step-by-step explanation:
12.3 Write the first five terms of the sequence whose general term is [tex]a_{n}=3^{n}+4[/tex] .
Answer:
7,13,31,85,247......
Step-by-step explanation:
[tex]a_n =3^n + 4[/tex]
[tex]\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247[/tex]
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
Show work and explain it please.
[tex]s = 4\pi {r }^{2} [/tex]
13.6/2=6.8
4×3.14×(6.8×6.8)=580.7
The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
The value of the probability P(D) is 0.74
How to estimate the probabilty?Using the tree diagram, the value of P(D) is represented as:
P(D) = P(B and D) + P(A and D)
Using the values on the tree diagram, we have:
P(D) = 0.4 * 0.8 + 0.6 * 0.7
Evaluate
P(D) = 0.74
Hence, the value of the probability P(D) is 0.74
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Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
How many real solutions if any, does 2x^2-3x+8=0
Answer:
The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.
Step-by-step explanation:
Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:
[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:
[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex]. The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:
[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].
Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.
The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Type it out please!
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answer:
[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]
Step-by-step explanation:
We are given and asked to solve the equation:
[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]
We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):
[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]
Simplify:
[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]
Expand and isolate:
[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]
Hence solve for x:
[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]
In conclusion, the solutions of the equation are x = 0 and x = 1.
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
Another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
What is a circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
Given the expression for the radius of the circle given as
[tex]r=\dfrac{60}{\pi}[/tex]
We can also express the radius as a decimal instead of a fraction.
Given that π = 3.14, Substitute into the expression of the radius to have:
[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]
Hence another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
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