Answer:
Side length z = 20 m
Angle d = 53°
Step-by-step explanation:
Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.
This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.
The scale factor = HI/BC = 25/10 = 2.5
The side length that corresponds to z is AB which is 8 m long.
z = 8*2.5
✅Side length z = 20 m
Corresponding angles of similar triangles are congruent to each other.
Therefore,
✅Angle d = <I = 53°
Answer:
law of sines
law of cosines
Step-by-step explanation:
What is 1+6 idk know what is it I need help
Does coordinates s or coordinate t represent a greater number in the following
parallelogram?
(-2,3)
(s, -1)
(0, -1)
(t, 3)
Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).
How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.
Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.
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Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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question is in picture :) also pls explain (if u can)
The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.
With m + m + m you are adding it 3 times.
So instead multiply m by 3:
The answer is 3m
Answer:
Solution :-In the Question the concept used is the algebra
We know that
\( \sf \: x \times x = {x}^{2} \)
and
\( \sf \: x + x = 2x\)
Similarly
\( \sf \: m + m + m = 3m\)
The method is also known as property of addition in algebra
98 is 14% of what number?
Answer:
the answer is 13.72
Step-by-step explanation:
tell me if its right
Answer:
700
Step-by-step explanation:
We have, 14% × x = 98
or, 14
100 × x = 98
Multiplying both sides by 100 and dividing both sides by 14,
we have x = 98 ×
100
14
x = 700
If you are using a calculator, simply enter 98×100÷14, which will give you the answer.
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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Kaylee owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3 and each burrito for $6. Kaylee must sell at least $480 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And one possible solution to it is x = 20 and y = 80.
How to find the system of inequalities?
First, we need to define two variables, we will be using:
x = number of tacos.y = number of burritos.We know that she can make at most 120 units, then:
x + y ≤ 120
And she wants to win at leastt $480, then:
x*3 + y*6 ≥ 480
So our system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And the graph can be seen in the image below, the solution set of the system is given by the region where both shaded areas intersect.
There we can see that one possible solution is x = 20 and y = 80, in that case the total number of items made is:
20 + 80 = 100, which is less than 120
And the income is:
20*3 + 80*6 = 540.
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In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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What's next in this sequence? 4,8,16,32,64 _?
Which of these describes a unique polygon?
Select the correct choice.
A
A quadrilateral with 4 right angles
B
A triangle with angles 30°, 80°, and 70°
С.
A triangle with side lengths 7 cm and 8 cm and a 70° angle
A triangle with each side length 5 inches
Answer:
The last option is unique.
Step-by-step explanation:
A triangle with each side length 5 inches - there's only one of these.
You have been asked to find the value of f(-5) for the function
f(x)=3x² -2x+5
Which of the following options is NOT a possible way to evaluate that function and find the correct answer?
A. Graph the equation and look at the table to find the y-value when x=-5
B. Graph the equation and find the y-value of the ordered pair when x=-5
C. Substitute (-5) wherever there is an x and solve using a calculator
D. See what x is when y=-5
Answer: D option is not the correct way to evaluate.
Step-by-step explanation: To find out f(x) which is also known as y.
so, f(x) = 3x^{2} - 2x + 5
f(-5) = 3 × 25 - 2(-5) + 5
= 75 + 10 + 5
= 90
Here we see here that four alternatives are given to find out but the option D is not appropriate.
A. By drawing a graph one can easily find out the value here we will try to find out the graph line and then by drawing it on the graph.
B. Similar to option A we can find out using option B
C. I had also used the same method to calculate for the value of (-5) above so this option is also correct.
D. When y= -5 then if we find out it for x will not work as here we have to find out f(x) which is function of X i.e. simply Y. so this won't work.
The following option is not a possible way to evaluate that function:
See what x is when y=-5.
The correct option is D.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
We have a function,
f(x)=3x² -2x+5.
To find the solution:
Step 1:
Graph the equation and look at the table to find the y-value when x=-5
Alternate step :
Graph the equation and find the y-value of the ordered pair when x=-5
Or,
Substitute (-5) wherever there is an x and solve using a calculator.
Therefore, option D is not the right way to find the solution.
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What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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can someone help me?
9514 1404 393
Answer:
8.39
Step-by-step explanation:
In the right triangle, the hypotenuse and side opposite the angle are shown. The applicable trig relation is ...
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin
x cm = (15 cm)×sin(34°)
x ≈ 8.39
Help please I will give Brainliest to whoever answeres.
Answer:
area = 220.5 ft²
Step-by-step explanation:
2(Length) + 2(10.5) = 63 feet
2L + 21 = 63
subtract 21 from each side of the equation:
2L = 42
divide both sides by 2:
L = 21 feet
area = L x W = 21 x 10.5 = 220.5 ft²
Answer:
A = 220.5 ft
Step-by-step explanation:
\(2(Length) + 2(10.5) = 63 feet\\\)
\(2L + 21 = 63\\\)
\(63 - 21\)
\(2L = 42\)
\(42/2\)
L = 21 feet
\(A=l * w\)
\(21 x 10.5 = 220.5 ft^{2}\)
Hope this helps
what is the kinetic energy of 1500 kg pick-up truck traveling at 31.0 m/sec.
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.
What is kinetic energy?If the body of the mass (m) is moving with a velocity (v), then the body possesses the energy which is known as kinetic energy. The SI unit of the kinetic energy is Joule. Then the formula is given as,
KE = 1/2 x mv²
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec is given as,
KE = 1/2 x 1500 x 31²
KE = 720,750 Joule
KE = 720 kJ
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.
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Solve the equation 3(x + 4.5) = 36.
Given Equation :
3(x + 4.5) = 36To Find :
The value of xUsing distribute property :
\( \qquad \dashrightarrow \sf \: 3(x) + 3(4.5) = 36\)
\( \qquad \dashrightarrow \sf \: 3x + 13.5 = 36\)
Subtracting 13.5 from both sides :
\({ \qquad \dashrightarrow \sf \: 3x + 13.5 - 13.5= 36 - 13.5}\)
\( \qquad \dashrightarrow \sf \: 3x = 36 - 13.5\)
\( \qquad \dashrightarrow \sf \: 3x = 22.5\)
Dividing both sides by 3 :
\( \qquad \dashrightarrow \sf \: \dfrac{3x}{3} = \dfrac{22.5}{3} \)
\( \qquad \dashrightarrow \bf \: x = 7.5\)
Cual es el volumen, en cm cúbicos, de un prisma rectangular con una altura de 3 cm, un ancho de 2 cm y una longitud de 18 cm ?
Answer:
El volumen en cm cúbicos es 108 cm cúbicos (o a la tercera potencia). La fórmula utilizada para encontrar el volumen es largo por ancho por alto.
Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(p) Area (A)
L=length 2 (L+W) L×W
W=width
Answer:
14.1*6.5= your area
6.5+6.5+14.1+14.1=perimeter
Step-by-step explanation:
hope this helps!
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?
Answer:
575
Step-by-step explanation:
500 x .15 = 75
500 + 75 =575
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
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I WILL MARK YOU AS BRAINLIEST ANSWER
I need the full procedure of this, and it’s due in one hour. Do It With The Full Procedure And I Will Mark You As Brainliest answer.
Answer:
its b.
Step-by-step explanation:
d)
In decimal system, 10 - 4 = 6. Write the binary equivalent of the
difference equation.
Answer:
1010 - 100 = 110
Step-by-step explanation:
10 = 1010
4 = 100
3. How many different arrangements can be made with the letters in the word
POWER?
O A 100
B 25
OC 20
OD 120
Answer:
D. 120
Step-by-step explanation:
Array formula: A (n, p) = n! / (n -p)!
At where:
n = Total number of elements in the set.
p = Quantity of elements per arrangement
A (5.5) = 5! / (5-5)! = (5x4x3x2x1) / 0!
By definition: 0! = 1
Then: 120/1 = 120
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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If an event is likely to happen, then the probability is :
A. Between 0% and 50%
B. Between 50% and 100%
C. Exactly 50%
Answer:
B. Between 50% and 100%
Step-by-step explanation:
0% - 50% is unlikely.
Exactly 50% is even chance.
Which equation represents a line which is parallel to the line 7y - 4x = -14?
Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?
a. As x→∞, f (x)→∞ and g(x)→∞.
b. As x→∞, f (x)→∞ and g(x)→1.
c. As x→∞, f (x)→3 and g(x)→1.
d. As x→∞, f (x)→3 and g(x)→∞.
HELP!!! ASAP!!! PRE-CALCULUS!!!
Answer:
a
Step-by-step explanation:
Both the exponential and logarithmic functions tend to infinity.
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)