Guys!! anyone can help me solve this geometry problem?
What is the area of this triangle?
Answers
Answer:
10657.5
Step-by-step explanation:
Long way that is unnecessarily long
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
Short wayALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
Related Questions
Write a polynomial equation of degree 4 that has the following roots : -1 repeated three times and 4
Answers
Answer:
x^4 -x^3 -9x^2 -11x -4
Step-by-step explanation:
We can use the zero product property
(x-a) (x-b) (x-c) (x-d) where a b c d are the roots
(x- -1)(x- -1)(x- -1) ( x-4) since the root -1 is repeated 3 times and 4 is a root
(x+1)(x+1)(x+1) ( x-4)
Foil the first two terms and the last two terms
(x^2 + 2x+1)( x^2 -3x-4)
Foil again
x^4 -3x^3 -4x^2 +2x^3 -6x^2 -8x +x^2 -3x-4
Combine like terms
x^4 -x^3 -9x^2 -11x -4
Answer:
Step-by-step explanation:
roots = -1, -1, -1, 4
(x + 1)(x + 1)(x + 1)(x - 4) = 0
(x^2 + 2x + 2)(x^2 - 3x - 4) = 0
x^2(x^2 - 3x - 4) + 2x(x^2 - 3x - 4) + 2(x^2 - 3x - 4) = 0
x^4 - 3x^3 - 4x^2 + 2x^3 - 6x^2 - 8x + 2x^2 - 6x - 8 = 0
x^4 - x^3 - 8x^2 - 14x - 8 = 0
-1 2/3 + (-2 1/6)
A. Use the real number of properties to write an equivalent expression for this sum.
B. Find the sum. Express your answer as a mixed number in lowest terms.
MUST SHOW PART A AND PART B!!
Answers
Answer:
-3 5/6 (-3.83333)
Step-by-step explanation:
(-1x3+2)/3+-(2x6+1)/6
-5/3+-13/6
-5x2/6+-13x1/6
-10/6+-13/6
(-10+-13)/6
-23/6
-(3x6+5)/6
=-3 5/6 or (-3.83333)
The temperature increased 16°C
during the morning. At noon the
temperature was 13°C. What was
the beginning temperature, t?
Answers
Answer:
-3°
Step-by-step explanation:
13°-16°=(-3°)
Nancy is going to glaze 6-ounce servings of pretzels and put them into gift boxes. If pretzels
are sold in -pound bags, how many bags will Nancy need for 100 gift boxes?
A. 16
B. 17
C. 22
D. 27
Please show how you got this answer
Answers
Bella plans to put $300 into a savings account. She can place her money into an account represented by p(x) = 3x+300, or into another account represented by
n(x) =300(1.04)^x. Which account has the highest value in 5 years? Which account has the highest in 12 years? Show your work!
Answers
Answer:
3(5) + 300 = 15 + 300 = 315
300(1.04)^5 = 300 * 1.21665 = 365
In 5 years, the second account is higher.
3(12) + 300 = 336
300(1.04)^12 = 300 * 1.601 = 480
In 12 years, the second account is higher
Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.
I NEED HELP ASAP
Answers
Answer:
Increasing : [tex]-5<x<-1[/tex] or [tex]-1<x<1[/tex]
Decreasing : [tex]-8<x<-5[/tex] or [tex]4<x<7[/tex]
Neither : [tex]1<x<4[/tex]
Step-by-step explanation:
Increasing function : In this function, the y-value increases as the x-value increases.
From the given graph it is clear that the function is increasing on
[tex]-5<x<-1[/tex]
[tex]-1<x<1[/tex]
Decreasing function : In this function, the y-value decreases as the x-value increases.
From the given graph it is clear that the function is decreasing on
[tex]-8<x<-5[/tex]
[tex]4<x<7[/tex]
Neither increasing nor decreasing function : In this function, the y-value remains constant as the x-value increases.
From the given graph it is clear that the function is neither increasing nor decreasing on
[tex]1<x<4[/tex]
To determine if a function is increasing, decreasing, or neither over intervals on a graph, analyze the direction of the graph. If the graph goes up, the function is increasing. If it goes down, the function is decreasing. If it remains flat, the function is neither increasing nor decreasing.
Explanation:The question asks to determine if the function is increasing, decreasing, or neither over each interval on the given graph. To do this, we need to analyze the direction of the graph. If the graph goes up as we move from left to right, the function is increasing. If the graph goes down, the function is decreasing. If the graph remains flat, the function is neither increasing nor decreasing. Drag the intervals to the appropriate box based on these observations.
Mitchell owns 6 pairs of hockey skates. What equation could Gabe write to find the total number of hockey skates Mitchell has?
Answers
Answer: 6x2=y
Step-by-step explanation:
If Mitchell owns 6 pairs of hockey skates, then The equation for the number of hockey stakes can be written as, X - 12 = 0
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
Mitchell owns 6 pairs of hockey skates,
The equation for number of hockey stakes = ?
Suppose, the number of hockey stakes = X
According to given condition,
there are 6 pairs,
It is known that,
1 pair = 2 hockey stakes
So,
The equation is,
X = 2 x Number of pairs,
X = 2 x 6
X = 12
Hence, the equation is X - 12 = 0
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HELPPPPPPPPPPPPPPP RATE 5 STARSS
Answers
Answer:
13. c,
14. a.
Step-by-step explanation:
13. The length of a side PQ with coordinates of
P as (x,y) and Q as (w,z)
is: [tex]\sqrt{(x-w)^{2} +(y-z)^{2} }[/tex]
so, the length of the side AB =[tex]\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5[/tex]
the length of side BC =[tex]\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }[/tex]
the length of side AC=[tex]\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4[/tex]
now, the easiest one will be when the vertices are on the coordinate axes.
so, option c will be the most appropriate one.14. If u see the figure clearly, the lines l and FH are parallel.
the parallel postulate, i.e, the alternate interior angles will always be congruent.
here, the alternate interior angles are angle1 and angle4.therefore to prove this step, he used parallel postulate as a reason.so, the correct option is "a"If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?
Answers
Answer: 4
Step-by-step explanation:
(g*h)(5) = 4
Firstly, h(5) = 5 - 7 = -2
Then, evaluate g(-2) = (-2)^2 = 4
A quadrilateral has vertices A(4,9), B(2,5), C(8,2), and D(10,6). Which statement about the quadrilateral is true?
Answers
Answer:
it is letter B
The given quadrilateral is not a parallelogram, is convex, and is not a square.
The question asks for the statement that is true about the given quadrilateral with vertices A(4,9), B(2,5), C(8,2), and D(10,6). To determine the truth of statements, we need to consider the properties of the given quadrilateral.
One statement that is true is that it is not a parallelogram. This can be proven by showing that opposite sides are not parallel, as the slopes are not equal.
Another statement that is true is that it is a convex quadrilateral. A convex quadrilateral is one where all interior angles are less than 180 degrees. To prove this, we can calculate the angles and show that they are all less than 180 degrees.
Lastly, a true statement is that it is not a square. A square is a special type of parallelogram with 4 equal sides and 4 right angles. We can determine this by calculating the lengths of the sides and showing that they are not all equal.
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please help me.
A mixture of gasoline and oil is supposed to contain K ounces of oil for every gallon of gasoline.
Which coordinate is represented on the graph?
Answers
Answer:
(1,K) hope i could help
Step-by-step explanation:
Answer:
[tex](1,K)[/tex]
Step-by-step explanation:
According to the problem, the mixture must contain K ounces of oil for every gallon of gasoline. That is, each gallon of gasoline equals K ounces, this can be expressed as
[tex](1,K)[/tex]
Where [tex]x=1[/tex] expresses each gallon of gasoline and [tex]y=K[/tex] represents ounces of oil.
Therefore, the coordinate on the graph must represent [tex](1,K)[/tex], that is, K ounces of oil per gallon of gasoline.
The slope of line éb is zac
What is the equation of D. simplified?
B(2a, 2b)
y-yı = m(x - xı)
y-0=(220)(x-c)
y=[0]x-(22b)
y=(220 fer-(2 bezed
y=(22]x- (226)
O y=(,20 ]- (250)
Ela, b)
A(0, 0)
Dac, 0)
C(2c, 0)
Answers
Answer:
[tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]
Step-by-step explanation:
The straight line BD passes through points B(2a,2b) and D(c,0).
Therefore, the equation of the straight line BD will be given by
[tex]\frac{y - 2b}{2b - 0} = \frac{x - 2a}{2a - c}[/tex]
⇒ [tex]y - 2b = \frac{2b}{2a - c}x - \frac{4ab}{2a - c}[/tex]
⇒ [tex]y = \frac{2b}{2a - c} x - \frac{4ab}{2a - c} + 2b[/tex]
⇒ [tex]y = \frac{2b}{2a - c} x + \frac{-4ab + 4ab - 2bc}{2a - c}[/tex]
⇒ [tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]
Therefore, third option is correct. (Answer)
We know that the equation of a straight line passing through the points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by
[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex]
A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 50% copper alloy? The metal worker should use (blank) kilograms of the metal alloy that is 30% copper and (blank) kilograms of the metal alloy that is 55% copper. (show your work)
Answers
Answer:
20kg
Step-by-step explanation:
eanyone know??? get it correct u get 50 points
Answers
Answer:
J would be the answer, my friend.
log2 (24/3) = log5 (x)
log(8)/log(2) = log(x)/log(5)
log(x) = [log(5)][3]
log(x) = log(5^3)
x = 5^3 = 125
Step-by-step explanation:
Answer:
x = 125
Step-by-step explanation:
[tex] \log_2 24 - \log_2 3 = \log_5 x [/tex]
Use the rule of subtracting logs:
[tex] \log_b x - \log_b y = \log_b \dfrac{x}{y} [/tex]
[tex] \log_2 \dfrac{24}{3} = \log_5 x [/tex]
[tex] \log_2 8 = \log_5 x [/tex]
[tex] 3 = \log_5 x [/tex]
Use the definition of log:
[tex] \log_b x = y ~~\Longleftrightarrow ~~ b^y = x [/tex]
[tex] x = 5^3 [/tex]
[tex] x = 125 [/tex]
Latoya's cow gives 1 1/2gallons milk each day. How much is this in quarts?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers
Answer:
6 quarts
Step-by-step explanation:
1 gallon = 4 quarts
1 1/2 gallon * (4 quarts / 1 gallon) = (1 + 1/2) * 4 = 1*4 + 1/2*4 = 4 +2 = 6 quarts
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x +2 y = 5x + 2
Answers
Answer:
I think your functions are [tex]y=2^{x}[/tex] ,[tex]y=2*5^{x}[/tex] and [tex]y=2+5^{x}[/tex]
If yes then then the third function which is [tex]y=2+5^{x}[/tex].
Step-by-step explanation:
The function [tex]c^{x}[/tex] where c is a constant has
Domain : [tex]c\geq 0[/tex]
Range : ( 0 , ∞ )
The above range is irrespective of the value of c.
I have attached the graph of each of the function, you can look at it for visualization.
[tex]y=2^{x}[/tex] ⇒ This function is same as [tex]c^{x}[/tex] so its range is ( 0 , ∞ ).[tex]y=2*5^{x}[/tex] ⇒ If we double each value of the function [tex]y=5^{x}[/tex], which has range ( 0 , ∞ ), but still the value of extremes won't change as 0*2=0 and ∞*2=∞. Therefore the range remains as ( 0 , ∞ ).[tex]y=2+5^{x}[/tex] ⇒ If we add 2 to each value of the function [tex]y=5^{x}[/tex], which has range ( 0 , ∞ ), the lower limit will change as 0+2=2 but the upper limit will be same as ∞. Therefore the range will become as ( 2 , ∞ ).Answer:
y = 5∧× + 2
Step-by-step explanation:
Factors of 42
I need to know what factors make 42
Answers
Those are the factors of 42 c:
(1, 42), (2, 21), (3, 14) and (6, 7).
Which of the following is the correct factorization of the polynomial below?
x3 -12
O A. (x+3)(x-4)
O B. (x-3)(x + 4)
O C. (x+3)(x2 - 4x + 4)
O D. The polynomial is irreducible.
Answers
Answer: The polynomial is irreducible
Step-by-step explanation:
There is nothing we can subtract between x3-12
For example: you are trying to find the polynomial of x4-6
Options:
A. (x+4)(x-6)
B. (x+1+3)(x-6)
C. None the polynomial is irreducible.
You would chose C because there is no subtraction sign in between the parentheses. If you would choose a right answer, you would rewrite it as:
(x+4)-(6)
What is the value of x in the equation 3x - 1 y = 18, when y = 27?
o 5
ООО
Answers
3x - 1(27) = 18
3x - 27 = 18
+27
3x = 45
3x/3 = 45/3
x = 15
Answer:
X would equal 15
Step-by-step explanation:
-1 × 27 = -27
-27 + 27 =0
18 + 27 = 45
3x ÷ 3 = x
45 ÷ 3 = 15
x = 15
11 X +11 Y equals -5
Answers
Answer:
Step-by-step explanation:
11x+11y=-5
Which situation has a unit rate of $7?
A
Trevor spent $49 on 2 theater tickets.
B
Sally bought a pack of 5 t-shirts for $35.
C
Brandon bought 7 gallons of gas for $14.
D
Gina bought nail polish for $5 and a pack of gum for $2.
Answers
The right answer is Option B.
Step-by-step explanation:
A unit rate describes how many units of one type of quantity corresponds to one unit of other type of quantity.
A. Trevor spent $49 on 2 theater tickets.
2 theater tickets = $49
1 theater ticket = [tex]\frac{49}{2} = \$24.5[/tex]
B. Sally bought a pack of 5 shirts for $35.
5 shirts = $35
1 shirt = [tex]\frac{35}{5} = \$7\\[/tex]
C. Brandon bought 7 gallons of gas for $14.
7 gallons = $14
1 gallon = [tex]\frac{14}{7}=\$2[/tex]
D . Gina bought nail polish for $5 and a pack of gum for $2.
1 nail polish = $5
1 pack of gum =$2
The pack of 5 shirts for $35 has a unit rate of $7.
The right answer is Option B.
Keywords: unit rate, division
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Factor −13 out of −13x−8.
−13x−8=
Answers
Answer:
- 13(x + [tex]\frac{8}{13}[/tex])
Step-by-step explanation:
Given
- 13x - 8 ← factor out - 13 from each term
= - 13(x + [tex]\frac{8}{13}[/tex])
The question asked to factor out -13 from the expression -13x - 8. The steps include dividing each term by -13. Therefore, the expression factored out by -13 is -13(x + 8/13).
Explanation:In this mathematical problem, we are asked to factor out -13 from the expression -13x - 8. Factoring out in algebra means to divide each term in the expression by that common factor, which in this case is -13. So, we proceed as follows:
Divide -13x by -13 to get x.Divide -8 by -13 to get 8/13.Therefore, the expression -13x - 8 factored out by -13 is -13(x + 8/13).
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One day, the Jerry Bakery produced 800 pieces of bread and sold a total of 750 pieces.
Find the percentage of bread left.
A. 63%
B.6%
C.93%
D. 93%
Answers
The right answer is Option B.
Step-by-step explanation:
Pieces of bread produced = 800
Pieces of bread sold = 750
Pieces left = Pieces produced - Pieces sold
Pieces left = 800 - 750 = 50
Percentage of bread left = [tex]\frac{Pieces\ left}{Pieces\ of\ bread\ produced}*100[/tex]
[tex]Percentage\ of\ pieces\ left=\frac{50}{800}*100\\Percentage\ of\ pieces\ left=\frac{5000}{800}\\Percentage\ of\ pieces\ left= 6.25\%\\[/tex]
Rounding off to nearest whole percent;
Percentage of pieces left= 6%
The right answer is Option B.
Keywords: percentage, subtraction
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How do you calculate constant rate of change from a proportional graph given the coordinates (x, y)?
Question 1 options:
x/y
y + x
xy
y/x
Answers
Answer:
y/x
Step-by-step explanation:
If y is directly proportional to x, then:
y = kx
k is the coefficient of proportionality, or the constant rate of change. Solving for k:
k = y/x
A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?
The piggy bank has nickels and dimes.
Answers
Answer:
64 nickels and 24 dimes are there in the piggy bank.
Step-by-step explanation:
There are $5.60 in the piggy bank in nickels and dimes.
Let x number of nickels and y number of dimes are there.
Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.
So, 0.05x + 0.1y = 5.6
⇒ 5x + 10y = 560
⇒ x + 2y = 112 ....... (1)
Again, from the condition given we can write that,
So, 3y - 8 = x ........ (2)
Now, solving (1) and (2) we get 3y - 8 + 2y = 112
⇒ 5y = 120
⇒ y = 24
And from equation (2) we get x = 3y - 8 = 64.
So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)
Answer:
64 nickels and 24 dimes in the piggy bank.
Step-by-step explanation:
the area of a circular plot is 9856 metre square.calculate the cost of fencingthe plot at Rs.32.50 per metre.
Answers
Answer:
Rs 11440Step-by-step explanation:
Area of a circular plot is [tex]9856\text{ }m^{2}[/tex].
The area of a circle with radius [tex]r[/tex] is given by [tex]\pi r^{2}[/tex]
[tex]\pi r^{2}=9856\\r^{2}=9856\times\frac{7}{22}=3136\\r=56\text{ }m[/tex]
So, the radius of the circular plot is [tex]56\text{ }m[/tex].
Cost of fencing the plot is [tex]32.50\frac{Rs}{m}[/tex].
Total circumference of the circular plot is given by [tex]2\pi r[/tex]
Circumference = [tex]2\times\frac{22}{7}\times56=352\text{ }m[/tex]
Cost of fencing = [tex]352\text{ }m\times 32.50\frac{Rs}{m}=11440\text{ }Rs[/tex]
∴ Cost of fencing = Rs 11440
Mr. Johnson's lunch bill is $29.90, which includes a 15% típ
What is the price before tip, b, of Mr. Johnson's lunch?
Answers
Answer:
price before tip (b) = $26
Step-by-step explanation:
29.90 is INCLUDING tip, so the real bill, b, would be less.
Now, since 29.90 is including 15% tip, and we let the original bill be "b", we can say:
b INCREASED by 15% gives us 29.90
We need to come up with an equation and solve for b.
15% means 15/100 = 0.15
Now, we can write:
b + 15% of b = 29.90
or
b + 0.15b = 29.90
then
1.15b = 29.90
b = 29.90/1.15
b = 26
So, price before tip (b) = $26
Answer:
the answer is 26
Step-by-step explanation:
12 is at most a number decreased by seven
Answers
Answer:
12 ≤ x - 7
Step-by-step explanation:
let "x" represent the number
The term decreased means subtraction.
The problem indicates that 12 cannot be greater than a number decreased by 7. Use ≤ which means less than or equal to.
≤ less than or equal to 12 means that 12 is the maximum value.
Which two operations are needed to write the expression that represents "eight more than the product of a number and twa
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition
Answers
“8 more than”
“The product of a number”
Answer:
multip[laction and addition
Step-by-step explanation:
What is the perimeter of a rectangle with a length of 9 - 2y and width of 7?
Answers
Answer:
The perimeter of the rectangle is 32 - 4y
Step-by-step explanation:
To find the perimeter, we will simply follow the steps below;
First write down the formula for finding the perimeter of a rectangle
The formula for finding perimeter in a rectangle is;
perimeter = 2l +2w
where l= length of the rectangle and w is equal to width of the rectangle
From the question given, length =9 - 2y and width =7
We can now proceed to insert the values into the formula;
perimeter = 2l +2w
=2(9-2y) + 2(7)
Then we will now simplify
perimeter =2(9-2y) + 2(7)
=18 - 4y + 14
= 18 + 14 - 4y
=32 - 4y
Therefore, the perimeter of the rectangle is 32 - 4y
The perimeter of the rectangle is 32-4y.
Step-by-step explanation:
Given information:
The length of the rectangle = 9-2y
The width of the rectangle = 7
Now
The perimeter (P) of the rectangle is :
[tex]P = 2( \text{Length} + \text{width})[/tex]
[tex]P= 2(9-2y+7)\\P=18-4y+14\\P=32-4y[/tex]
Hence, the perimeter of the rectangle is 32-4y.
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