Answer:
AC=13cm
AD=13,9cm
Step-by-step explanation:
a)Pythagoras' Theorem in ABC, right-angle triangle
AC²=AB²+BC²
AC²=144cm²+25cm²=169cm²
AC=13cm
b)ACD is right-angle triangle
AD²=AC²+CD²
AD²=169cm²+25cm²=194cm²
AD=√194cm
AD=13,9CM
Answer:
Step-by-step explanation:
ABC is a right triangle
So,
AC² = AB² + BC²
= (12 cm)² + (5 cm)²
= 144 cm² + 25 cm²
AC² = 169 cm²
AC = 13 cm
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Answer: Neither angle measures nor segment lengths
So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info into the calculator to see your monthly and total cost by loan term.
6% = .6
4840 x .06 = 290.4
290.4+ 4840 = 5130.4
5130.4 ÷ 24 = 213.766666667
$5130.40 is your total cost by loan term.
$213.77 is APPROXIMATELY your monthly total for 2 years.
For the 2 year loan, onthly payments is $211.26 and Total payment is $5070.12.
For the 5 year loan, Monthly payments is $93.57 and Total payment is $5614.21.
What is the monthly total cost of the loan?Assuming the loan is compounded monthly, the total monthly payment is calculated from the amortization loan formula as follows:
[tex]A=\frac{P(i(1+i)^n)}{((1+i)^{n-1})}[/tex]where:
A = monthly paymentP = amount borrowed = $6000i = monthly interestn = number of monthsCalculating the monthly payment for the 2 year loan:
i = monthly interest = 0.045/12
n = number of months = 2 × 12 = 24 months
[tex]A = \frac{4840(0.045/12 (1 +.045/12)^{24})}{((1 +.045)^{24-1})} = \$211.26[/tex]
Monthly payments = $211.26
Total payment = $5070.12
Calculating the monthly payment for the 5 year loan:
i = monthly interest = 0.06/12
n = number of months = 5 × 12 = 60 months
[tex]A = \frac{4840(0.06/12 (1 +.006/12)^{60})}{((1 +0.06)^{60-1})} = \$93.57[/tex]
Monthly payments = $93.57
Total payment = $5614.21
Therefore, the monthly payments are calculated using the amortization loan formula.
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What number should replace the question mark?
Answer:
Just a guess but I think 5
Step-by-step explanation:
The top right square on all boxes is the difference of the second box and the first box which equals the third box. This rule is applied to all of the other boxes so if I'm not wrong the question mark should be 5
Answer:es el #5
Step-by-step explanation:
;)
how to solve a log function
Answer:
What are Logarithmic Functions?
We can think of logarithmic functions as the inverse of exponents.
The following diagram shows how logarithm and exponents are related. Scroll down the page for examples and solutions.
Logarithms and Exponents
Step-by-step explanation:
In the figure, O is the center, PT and PR are tangents, and
mZTOR = 150°. If OR = 6 cm, then what is the measure of
ZTPR?
a. 210°
b. 30°
c. 105°
d. 15°
Answer:
b. 30°
Step-by-step explanation:
In quadrilateral OTPR, angles O and P are supplementary.
angle P = 180° -angle O = 180° -150°
angle P = 30° . . . . matches choice B
Find the measure of the angel. n=_°
Answer:
n = 25°
Step-by-step explanation:
All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:
90 + (n + 40) + n = 180.
Then we combine like-terms and subtract:
130 + 2n = 180,
2n = 50.
Then we divide by 2 to get our answer:
n = 25.
To double check, we insert 25 as our value:
90 + (40 + 25) + 25 = 180.
С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done
Answer: it is a
Step-by-step explanation:
write the equation of the circle The circle with center C(1, - 4) and radius r= 2
Answer:
(x-1) ^2 + (y+4)^2 = 4
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-1) ^2 + (y- -4)^2 = 2^2
(x-1) ^2 + (y+4)^2 = 4
The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial. check all that apply
Answer:
The correct options are:
x= -1.1
x= 2.4
x = 6
Step-by-step explanation:
The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.
We can see in the graph that there are three points where the value of polynomial becomes 0. that are
At x= -1.1
At x= 2.4
At x = 6
Thus, these are the roots
Mehrine and Zaara brought an equal amount of money to the shopping mall. Mehrine spent Rs 500 on a pair of shoes and Zaara bought a dress for Rs 2000. After their shopping, Zaara has ⅔ of what Mehrine had left. How much money did Mehrine bring for shopping?
Answer:
Rs5000
Step-by-step explanation:
Let the equal amount of money they both brought = x
Mehrine spent Rs 500 on a pair of shoes, therefore, the money Mehrine has left
= x-500
Zaara bought a dress for Rs 2000, therefore, the money Zaara has left
= x-2000
Zaara has ⅔ of what Mehrine had left.
Therefore:
[tex]x-2000=\dfrac{2}{3} (x-500)[/tex]
Cross multiply
3(x-2000)=2(x-500)
3x-6000=2x-1000
3x-2x=6000-1000
x=5000
Therefore, Mehrine brought Rs5000 for shopping.
What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)
Answer:
the solution is A
Step-by-step explanation:
[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]
[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]
Answer:
3ab^2(3/b)
THE ANSWER A
Step-by-step explanation:
2020 HEHE
The average of an electrician's hourly wage and a plumber's hourly wage is $33. One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work and pays a total of $468 in wages. Find the hourly wage for the electrician and for the plumber. Electrician makes $___ and Plumber makes $___
Answer:
Plumer : $198
Electrition : $270
Step-by-step explanation:
The Electrician makes $ 216 and Plumber makes $ 252
The hourly wage of the electrician = $ 24
The hourly wage of the plumber = $ 42
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the hourly wage of electrician be = $ x
Let the hourly wage of plumber be = $ y
The average of hourly wage of an electrician and plumber = $ 33
So , ( x + y ) / 2 = 33
Multiply by 2 on both sides , we get
x + y = 66 be equation (1)
And , One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work
So , total wages =
9 hours of work by electrician + 6 hours of work by plumber
9x + 6y = $ 468 be equation (2)
Now , we have 2 equations
Multiply equation (1) by 6 , we get
6x + 6y = 396 be equation (3)
And ,
equation (2) - equation (3) , we get
3x = 72
Divide by 3 on both sides , we get
x = 24
Substituting the value of x in equation (1) , we get
y + 24 = 66
Subtracting 24 on both sides, we get
y = 42
So , the hourly wage of electrician is $ 24 and the hourly wage of plumber is $ 42
Now , wage of electrician for 9 hours = 24 x 9
= $ 216
Wage of plumber for 6 hours = 42 x 6
= $ 252
So total wage = 216 + 252 = $ 468
Hence , the electrician makes $ 216 and plumber makes $ 252
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literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
Christopher's math grade decreased from 86 to 65. What is the the approximate percent decreases?
Answer:
I think it decreased by 21%
Step-by-step explanation:
because 86 - 65 = 21
which expression is equivalent to 3 1/3?
Answer:
your answer is "A" 1/3
Step-by-step explanation:
Which graph or equation represents a no proportional relationship?
-A
-B
-C
-D
Answer:
Graph A is not proportional
Step-by-step explanation:
To have a proportional relationship, the line must go through (0,0)
Graph A does not go through (0,0) so it is not a proportional relationship
How many terms are in the following expression 55+ 14n -2m +3p
Answer:
4 terms
Step-by-step explanation:
There are 4 terms in the given expression:
=> 55
=> 14n
=> -2m
=> 3p
Please help! i will mark brainliest!
Answer: A. one real solution
This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.
Solve 6x^2 +5x - 4 = 0 by factoring. Enter each step. please help me.
Answer:
x = -4/3 x =1/2
Step-by-step explanation:
6x^2 +5x - 4 = 0
6 has factors of 3 and 2 and 6 and 1
4 has factors of -4 and 1 and -2 and 2, and -1 and 4
We want +5 in the middle
3* -1 + 4*2 = 5
( 3x+4) ( 2x -1) =0
Using the zero product property
3x+4 =0 2x-1 =0
3x = -4 2x =1
x = -4/3 x =1/2
Answer:
[tex]\frac{1}{2}[/tex] and [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
We can solve this equation using the quadratic formula, which is
[tex]\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex]
Assuming that with your equation, 6x² + 5x - 4 = 0, a is 6, b is 5, and c is -4.
We can substitute inside the equation.
[tex]\frac{{ - 5 \pm \sqrt {5^2 - 4 \cdot 6\cdot\-4} }}{{2 \cdot6}}}[/tex]
[tex]\frac{{ - 5 \pm \sqrt {25 + 96} }}{{12}}}[/tex]
[tex]\frac{{ - 5 \pm \sqrt {121} }}{{12}}}[/tex]
[tex]\frac{{ - 5 \pm 11 }}{{12}}}[/tex]
Now, we can find our two values by using subtraction/addition and division.
[tex]-5 + 11 = 6\\-5 - 11 = -16[/tex]
[tex]\frac{6}{12} =\frac{1}{2} \\-\frac{6}{12} =-\frac{4}{3}[/tex]
I hope this helped!
Help please, Mathematics!
Answer:
B. 3,300
Divide 28,875 by 109,800,724.
Answer:
B
Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated
Expand the logarithm.
log4 (3xyz)2
Answer:
A. 2 log4 (3xyz).
Step-by-step explanation:
Since the logarithm is squared, it can be rewritten as 2 log4 (3xyz).
Hope this [somewhat] helps!
To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?
Answer:
30.24/16= $1.89 per gallon = c/g
Step-by-step explanation:
c = $30.24
g = 16
Divide c/g
Answer:
g gallon = $1.89 g
Step-by-step explanation:
Gallon = g
16 gallons = 16 g
Cost = $30.24
So,
16 gallons = $30.24
1 gallon = $30.24/16
1 gallon = $1.89
g gallon = $1.89 g
A finance blogger is writing an article about credit card use. As they write their article, the finance blogger is interested in the average number of credit cards per adult. Based on previous research, an adult has 4 credit cards, on average. The finance blogger believes this average is different. If the finance blogger chooses a p-value approach, what does the p-value need to be compared to in order to determine if there’s enough evidence to support their claim?
Answer:
significance level
Step-by-step explanation:
Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
Where a is the leading coefficient.
Consider functions f and g below.
g(x) = –x² + 2x + 4
The function can be written as
g(x) = –(x – 1)² + 5
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.
Then the correct option is C.
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Which statement about this figure is true?
A. It has point symmetry
B. It has reflectional-symmetry
C. It has no reflectional symmetry
D. It has rotational symmetry with an angel of rotation if 120*
Answer:
I think its B
Step-by-step explanation:
both sides look the exact same and the body its to line of reflection
Find the equation of the line with slope m=1/5
that contains the point (-10,-1).
Answer:
Y=1/5x+1
Step-by-step explanation:
change the y intercept so it is 1
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range
Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
The range is { -2 ≤ y≤ 3 } .
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Reflection is to create a mirror image of the coordinate or the figure.
After reflection along any axis, the coordinate of the other axis changes to its additive inverse.
(x,y) ----> when reflected along y axis ----> ( -x , y)
The domain is all the values a function can have as input and the range is all the values that a function can have.
The original coordinate changes to (-1,3),(2,1),(5,-1)and(-1,-2).
When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.
So the value of the domain changes while the range remains the same.
The range is { -2 ≤y≤3}
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The question and pic is on the picture I took a picture of
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
Based on the graph, what is the initial value of the linear relationship?
A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.
−4
−3
five over three
5
Answer: The slope is five over three
Step-by-step explanation:
The equation for this graph would be: y= 5x/3 +5
Answer:
5
Step-by-step explanation:
Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.
Hope this helps :)
A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute
Answer:
D: Acute triangle
Step-by-step explanation:
First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:
5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.
The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.
Answer: D) Acute
Step-by-step explanation: