Answer:
x=20
Step-by-step explanation:
Right angle triangle ABC
ac^2=ab^2+bc^2
or (x+9)^2=x^2+(x+1)^2
or x^2+81+18x=x^2+x^2+1+2x
or 80= X^2-16x
or x^2-16x-80=0
x^2-20x+4x-80=0
x(x-20)+4(x-20)=0
(x+4)(x-20)=0
either x=-4 or x=20
since x is a length it can not be negative
QuesLUI OUI 15
Flag
Save & Exit
You scored a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
Answer:
55
Step-by-step explanation:
You got 57 points on your math quiz.
To find out how many points you got on the math quiz, we need to calculate 95% of the total points the quiz was out of. The quiz was out of 60 points.
First, we convert the percentage score to a decimal by dividing by 100:
[tex]\[ 95\% = \frac{95}{100} = 0.95 \][/tex]
Next, we multiply the decimal score by the total points to find out the number of points obtained:
[tex]\[ 0.95 \times 60 = 57 \][/tex]
So, you got 57 points on your math quiz.
1 plus 1??????????????
Answer:
2
Step-by-step explanation:
It would be 2. You can find this by putting 1 finger up and then another finger up then count your fingers :)
2 x2 - 4 x + 6 = 0 is in general form. True or False?
Answer:
Step-by-step explanation:true
Answer:
True
Step-by-step explanation:
Yes, this is in standard form
Find the fifth term in the sequence that is defined as follows:
Please help me!!
Answer
n=5
[tex]a5 = 4 + {( - 1)}^{5} = 4 - 1 = 3[/tex]
Answer:
3
Step-by-step explanation:
[tex]a_{5}=4+(-1)^5=4-1=3[/tex]
12th term: 4,2,0,-2....
Answer:
-20
Step-by-step explanation:
Ejemplo de cómo escribir:
1. Nombre de polinomio- grado- coeficiente término lineal- coeficiente término constante
Vale muchos puntos
The first thing is to define each one:
Polynomial: expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication. Exponents can only be natural numbers and the polynomial cannot have an infinite number of terms.
Example:
This is a: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
Degree: It is the exponent with the highest degree. If a monomial of those that are forming the polynomial has two unknowns, each with its exponent, these add up since we would be doing a multiplication of monomials.
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
The degree of this polynomial is 3 because it is the largest exponent.
Linear term coefficient: is the number that multiplies the variable with the highest exponent
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
In this case it is 5 because [tex]x^{3}[/tex] is the variable with the highest exponent
Constant term coefficient: is one that is found in a polynomial alone, that is, without multiplying the x or another unknown.
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
In this case it is 20 because it is the one found without multiplying any linear term (x)
Attached image with example of this.
A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres
nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A wees
chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probably that the trees
within the acres of apple trees?
25.0
37.5%
62.5%
75.4%
Answer:
Option-C=> 62.5%
Step-by-step explanation:
Given that the area where apple is grown: 25 acres
Total area of cultivation:40 acres
Percentage ={ (Area where apple is grown / Total area of cultivation) ×100
=>(25/40)×100
=>(25/4)×10
=>62.5%
∴The percentage of the trees are within the orchard area is : 62.5%
MARK AS BRAINLIEST
The theoretical probability of selecting a tree within the acres of apple trees is 62.5%.
To find the probability of selecting a tree within the acres of apple trees, we need to consider the proportion of apple trees to the total number of trees in the orchard.
The total area of the orchard is 40 acres, and the area dedicated to apple trees is 25 acres. Since the trees are equally distributed within the orchard, the proportion of apple trees to the total number of trees is:
[tex]\[ \text{Proportion of apple trees} = \frac{\text{Area of apple trees}}{\text{Total area of orchard}} \][/tex]
[tex]\[ \text{Proportion of apple trees} = \frac{25}{40} = 0.625 \][/tex]
To convert this proportion to a percentage, we multiply by 100:
[tex]\[ \text{Probability} = 0.625 \times 100\% = 62.5\% \][/tex]
Rounded to the nearest tenth of a percent, the theoretical probability of selecting a tree within the acres of apple trees is 62.5%. Therefore, the correct answer is: 62.5%
What is the sum of 22 m + 14 n and 9 m + 7 n? 7 m + 13 n 13 m + 7 n 21 m + 31 n 31 m + 21 n
Answer:
31m + 21n
Step-by-step explanation:
Answer:
31m + 23n which is D
Step-by-step explanation:
What are the values of v and b?
(geometry question)
Answer:
b=41
Step-by-step explanation:
180=19v-41+(180-(20v+39))+17v
v=5
180=19v-41+b+17v
180=19(5)-41+b+17(5)
b=41
IMPORTANT...................... PLS HELP I REALLY NEED HELP WITH THIS ONE!!!!
Brianna is going camping this weekend, and needs to find the amount of space inside her tent.
A triangular prism. 2 rectangular sides are 8 feet by 5 feet, and 1 side is 8 feet by 6 feet. The 2 triangular sides have a base of 6 feet and height of 4 feet.
Find the volume of the tent and complete the statements.
Find the volume of a triangular prism by using the formula .
Use the base and height to calculate the area of the base, B.
The volume of the tent is ft3.
Answer:
Find the volume of a triangular prism by using the formula
✔ V = Bh
.
Use the base and height to calculate the area of the
✔ triangle
base, B.
The volume of the tent is
✔ 96
ft3.
Step-by-step explanation:
Find the volume of a triangular prism by using the formula
Volume of a triangular prism = area of base triangle × length of the prism .
Use the base and height to calculate the area of the triangular base, B.
The volume of the tent is 96 ft3.
What is a triangular prism?A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges. If the sides are rectangular, then it is called the right triangular prism else it is said to be an oblique triangular prism.
Based on the given information, the tent is a right triangular prism.
The dimensions of the rectangles are:
two of the rectangles have the dimension [tex]8ft \times 5ft[/tex]
the base rectangle has the dimension [tex]8ft \times 6ft[/tex]
The dimensions of the triangles are:
base = 6ft
height = 4 ft
Volume of a triangular prism = area of base triangle × length of the prism
[tex]V=\frac{1}{2} \times b\times h \times l\\\\V=\frac{1}{2} \times 6\times 4 \times 8\\\\V=96[/tex]
For more information:https://brainly.com/question/15890833
#SPJ2
ILLL markk brainliest i promise plsss helpp
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
k =
k =
k = −3
k = 3
Answer:
C. k = -3
Step-by-step explanation:
First of all please try and understand math, cheating will never get you anywhere :)
So we can deduce that the value k is -3 for the following reasons:
If k is greater than 1, it will become narrower
If k is negative, it will shift right
Therefore we can conclude that k = -3
(I might be wrong but we will see)
The function g(x) transformed to f(x) by 3 unit on right side.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have the graph
g(x) = f(k x)
Here k represent the transformation or we can say shifting.
If k is greater than 1 then the graph will become narrower
and, if k is negative or less than then it will shift right.
From the graph the function g(x) is shifted to f(x) by 3 units.
Thus, the value of k is -3 ( Right side shifting)
Learn more about Transformation here:
https://brainly.com/question/11709244
#SPJ3
Samantha was performing an experiment in which she was spinning the spinner below. She had 10 trials and got the results below: Blue-0, red-1, yellow-4, green-5. What is the EXPERIMENTAL Probability for spinning a green? *Favorable outcome/total *
The experimental probability of spinning a green is 5/10 or 0.5, which means there's a 50% chance of landing on green based on Samantha's 10 trials.
The question is about determining the experimental probability of spinning a green on a spinner used in an experiment. Experimental probability is calculated as the ratio of the number of times an event occurs to the total number of trials. In Samantha's case, she spun the spinner 10 times and landed on green 5 times. Thus, the experimental probability of spinning a green is calculated as follows:
Number of times green was spun: 5
Total number of spins (trials): 10
Experimental Probability of green: 5/10 or 0.5 (50%)
Experimental probability differs from theoretical probability as it is based on actual results from an experiment, rather than calculated from a theoretical perspective without actual trials.
The experimental probability of spinning green is 0.5 or 50%, calculated by dividing the number of green outcomes (5) by the total number of trials (10).
The student is asking about the experimental probability of spinning a green on a spinner after conducting an experiment for 10 trials. The results of the experiment were Blue-0, Red-1, Yellow-4, and Green-5. To find the experimental probability, we need to divide the number of times green occurred (favorable outcomes) by the total number of spins (total trials).
The experimental probability of spinning a green is calculated as follows:
Number of favorable outcomes (spinning green) = 5
Total number of trials = 10
Experimental probability of green = Number of favorable outcomes / Total number of trials
Experimental probability of green = 5 / 10 = 0.5 or 50%
Therefore, the experimental probability of spinning a green is 0.5 or 50%.
Help please?
What are the factors of the product represented below?
Answer:
B
Step-by-step explanation:
count how many x^2 there are because they would tell you what your answer is.
Answer: Its B.
Step-by-step explanation:
Ther are 6 x2. So it is (6x2+2x)
There are also 6 Xs so it's (6x+2)
(4x3 + 7z– 9x – 3) - (-523 + 11x – 4)
Look at the attached picture⤴
Hope it will help u...
Answer:
4x^3 + 7z - 20x + 524.
Step-by-step explanation:
(4x3 + 7z– 9x – 3) - (-523 + 11x – 4)
4x3 + 7z– 9x – 3 - (-523 + 11x – 4) Distribute the negative over the parentheses:
= 4x3 + 7z– 9x – 3 + 523 - 11x + 4
= 4x3 + 7z– 9x - 11x– 3 + 523 - 4
= 4x^3 + 7z - 20x + 524.
Which of the following is an example of an irrational number?
Question 5 options:
A)
74∕99
B)
C)
3∕4
D) square root 2
Answer:
D. square root of 2
Step-by-step explanation:
The square root of 2 is an irrational number because it cannot be written as a ratio of two integers.
Final answer:
Choice D, square root 2, is an example of an irrational number. Unlike the other options, it cannot be expressed as a fraction with an integer numerator and denominator.
Explanation:
An irrational number is a number that cannot be expressed as a simple fraction, meaning its decimal form is non-terminating and non-repeating. Among the options given, choice D, which is square root 2 (written as √2), is an example of an irrational number. Option A is 74/99, a fraction that simplifies to a rational number; option C is 3/4, also a rational number; and the option B is missing from the context provided.
To determine between which two consecutive integers an irrational number like √2 lies, we first identify the perfect squares nearest to the number we are taking the square root of. For √2, the perfect squares are 1 (√1) and 4 (√4), which correspond to the integers 1 and 2. √2 lies between these two integers because 2 is greater than 1 and less than 4, and since the square root function is increasing, √2 is more than 1 and less than 2.
A vertical flagpole is attached to the top edge of a building. A man stands 400 feet from the base of the building. From his viewpoint, the angle of elevation to the bottom of the flagpole is 60°, to the top is 62.5°. Determine the height of the flagpole.
Answer: The flagpole is 75.6 feet (approximately)
Step-by-step explanation: Please refer to the picture attached.
The man is at point C and the base of the building is point B, and he looks up at an angle of elevation of 60 degrees to the bottom of the flagpole. Note that the flagpole is attached to the top of the edge of the building which is point A. Also he looks up at an angle of elevation of 62.5 degrees to the top of the flagpole which is point A.
If his distance from the base of the building is 400 feet (line BC), then we would start by calculating the height of the building plus the flagpole (line FB) and then the height of the building itself (line AB) and the difference between both would be the height of the flagpole (line FA).
We shall use the trigonometric ratios as follows;
In triangle FBC,
Tan C = opposite/adjacent
Tan 62.5 = FB/400
Tan 62.5 x 400 = FB
1.9209 x 400 = FB
768.36 = FB
Also in triangle ABC,
Tan C = opposite/adjacent
Tan 60 = AB/400
Tan 60 x 400 = AB
1.732 x 400 = AB
692.8 = AB
The height of the vertical flagpole can be derived as
FA = FB - AB
FA = 768.36 - 692.8
FA = 75.56
FA ≈ 75.6
Therefore the height of the flagpole is 75.6 feet (approximately)
The height of the flagpole is required to be found with the given angles of elevation.
The height of the flagpole is 75.6 feet.
From trigonometric ratios
[tex]\tan60=\dfrac{BD}{BC}\\\Rightarrow BD=BC\tan60\\\Rightarrow BD=400\tan60[/tex]
[tex]\tan62.5=\dfrac{AB}{BC}\\\Rightarrow AB=BC\tan62.5\\\Rightarrow AB=400\tan62.5[/tex]
So,
[tex]AD=AB-BD\\\Rightarrow AD=400(\tan62.5-\tan60)\\\Rightarrow AD=75.6\ \text{feet}[/tex]
Learn more:
https://brainly.com/question/12992313?referrer=searchResults
Find the hypotenuse of a right triangle given the sides 8cm and 6cm
A: 5cm
B. 7cm
C. 10cm
D. 4cm
Answer: C. 10 cm
Step-by-step explanation:
the hypotenuse of a right triangle will always be longer than the other 2 sides. So 10 cm
To solve this you must use Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 8 cm
b = 6 cm
c = x
^^^Plug these numbers into the theorem
[tex]8^{2} +6^{2} =x^{2}[/tex]
simplify
64 + 36 = [tex]x^{2}[/tex]
100 = [tex]x^{2}[/tex]
To remove the square from x take the square root of both sides to get you...
√100 = x
Which is when simplified:
(choice C)
10 cm
Hope this helped!
~Just a girl in love with Shawn Mendes
WILL GIVE BRAINLIEST
A bicycle tire has a diameter of 26 inches. How far does it travel (to the nearest tenth) in 10 rotations?
Answer:
C = 26π inches
In 10 rotations, the bicycle tire travels 260π inches, or about 816.8 inches.
3: Please help. Circle C has its center at (9,0) and a point is on the circle at A(8,6).
Which answer verifies whether point P(10,−7) lies on the circle?
Answer:
The statement (9−8)2+(0−6)2≠(9−10)2+(0+7)2 is a true statement, so P is not on ⨀C.
Step-by-step explanation:
just did the test
Would you use an open circle or a closed circle to graph the inequality x> 3?
Answer:
Open circle
Step-by-step explanation:
If the inequality has < or > it is an open circle.
If the inequality has =< or >= it is closed
Have A Great day
Answer:
Open circle. You only use a closed circle if it is greater/less than or equal to (which is the greater/less than sign with a line under it to indicate the "or equal to" part)
Step-by-step explanation:
Is this linear, exponential, or neither?
Answer:
Exponential
Step-by-step explanation:
So let’s start off by looking at how much x is growing by each time
X is growing by 8 each time
Next look at how much y is growing by
-6 to -24 is a difference of 18
-24 to -96 is a difference of 72
And lastly -96 to -384 is a difference of 288
So we can now say that it is not linear because a linear equation grows by a constant number (like adding)
To determine if it is exponential see if it is growing by a constant multiplier
24 divided by 6 is 4
96 divided by 24 is 4
384 divided by 96 is 4
It is exponentially growing by 4
HELP HELP HELP HELP HELP FAST PLEASE HELP
Answer:
5/2 Hope this helped
Step-by-step explanation:
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8
Answer:sin(20)= LN/8
And COS(70)=LN/8
Step-by-step explanation:
The length of LN by the trigonometric relations are
a) sin ( 20 )° = LN / 8
b) cos ( 70 )° = LN / 8
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented by ΔLMN
where the measure of ∠LMN = 20°
The measure of ∠NLM = 70°
And , the triangle is right at ∠LNM = 90°
The measure of hypotenuse LM = 8 units
From the trigonometric relations
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
So , sin ( 20 )° = LN / 8
cos ( 70 )° = LN / 8
Hence , the trigonometric relations are solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ5
The complete question is attached below :
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply.
Sin(20°)=LN/8.
Cos(70°)=8/LN .
Tan(70°)=LN/MN .
Sin(20°)=8/LN .
Cos(70°)= LN/8
if Anthony has twice as nickels as one and one has 15 more nickels than Maria what is the value in dollars of Anthony's Nickels if Maria has six Nickels
Explain?
Answer:
Anthony has $2.10
Step-by-step explanation:
If Maria has 6 nickels and one has 15 more nickels than Maria, one has a total of 21 nickels. Since Anthony has twice the amount of nickels as One, you would multiply 21 by 2 to get a total of 42. It takes 20 nickels to make a dollar. If you divide 42 by 20 you get 2.1, which is equivaldnt to $2.10
How did we transform from the parent function? g(x) = -1/5(x - 1)² + 7
Select all that apply! I will give brainliest to the first answer
a Vertical shift up
b no changes were made to y = x²
c Horizontal shift left
d Vertical shift down
e Horizontal shift right
f Reflection across x-axis
g Vertical Stretch
h Vertical Compression
Answer:
Horizontal shift to the right
Vertical compression
Reflection across the x axis
Vertical shift up
Step-by-step explanation:
Given that the parent function was [tex]g(x)=x^2[/tex]
we notice the following transformations:
a) a horizontal shift to the right in 1 (one) unit rendering: [tex]g(x)=(x-1)^2[/tex]
b) a vertical compression by multiplying our function by a number smaller than 1 ( [tex]\frac{1}{5}[/tex] ), rendering: [tex]g(x)=\frac{1}{5} (x-1)^2[/tex]
c) a reflection across the x-axis by flipping the sign of the function and rendering: [tex]g(x)=-\frac{1}{5} (x-1)^2[/tex]
d) a vertical shift of 7 units up thus giving finally: [tex]g(x)=-\frac{1}{5} (x-1)^2+7[/tex]
The parent function f(x) = x² has undergone a reflection across the x-axis, a vertical compression, a horizontal shift right, and a vertical shift up to transform into g(x) = -1/5(x - 1)² + 7.
Explanation:The student asked about the transformations that turned the parent function f(x) = x² into g(x) = -1/5(x - 1)² + 7. Examining the function g(x), we can identify several transformations:
The negative sign indicates a reflection across the x-axis, which corresponds to flipping the graph.The fraction -1/5 signifies a vertical compression by a factor of 5.The term (x - 1) within the square represents a horizontal shift to the right by 1 unit.The addition of +7 at the end of the function signifies a vertical shift up by 7 units.Considering these observations, the correct transformations from the provided options are f, e, h, and a.
For what values of x does 25^x - 5^x2-3?
TRUE OR FALSE and explain. Suppose that you graph a system of equations and the graphs' intersection is somewhere in between the x values of 3 and 4 and in between the y values of 9 and 10. The system has to solution because you can't find the exact value of the intersection point.
Answer:
False
Step-by-step explanation:
It still has a solution, just not a solution with whole or exact numbers.
A system of equations would only have no solution if there were no points of intersection at all.
parallel lines cut by transversal?..help?
Answer:
#1
Step-by-step explanation:
Teams must win at least 25 games. So far, the volleyball team has won 21. Describe the graph of an inequality showing how many more games it must win. Check all that apply.
The graph has an open circle at 4.
The graph has a closed circle at 4.
The graph has an open circle at 46.
The graph has a closed circle at 46.
The arrow points left.
The arrow points right.
Answer:its B and F
Step-by-step explanation:
The graph has a closed circle at 4. & The arrow points right.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Teams must win at least 25 games.
So far, the volleyball team has won 21.
now, we can Consider the provided inequality:
25≤21+x
i.e. 4≤x
we get,
Use an closed circle for the sign ≤
so, we get,
The graph has a closed circle at 4. & The arrow points right.
To learn more on inequality click:
brainly.com/question/24853349
#SPJ6
Can someone please answer this with a real answer? all I've been getting is fake answers for the points. I need this to pass!!
Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.
y=1,000(1.08)x
=1,000((1.08)1/a)^bx
a=
b=
=1,000(c)^dx
c=
d=
Final answer:
To find the equivalent equation for the monthly growth of the wildflowers, we need to convert the yearly growth rate to a monthly growth rate. The monthly growth rate is the 12th root of the yearly growth rate. The equivalent equation is Y=1000((1.08)^(1/12))^mx.
Explanation:
To find an equivalent equation that represents the monthly growth of the wildflowers, we need to convert the yearly growth rate into a monthly growth rate. Since there are 12 months in a year, the monthly growth rate is the 12th root of the yearly growth rate.
Given the equation Y = 1000(1.08)^x, where x represents the number of years, the equivalent equation for the monthly growth rate is Y = 1000((1.08)^(1/12))^mx.
Here, a = 12, b = 1/12, c = 1.08, and d = m.
The value we get are :
a = 1000
b = 1.00692
c = 0
d = 0
The given equation, Y=1000(1.08)^x, represents the yearly growth of wildflowers, where:
Y is the number of wildflowers in year x.
1000 is the initial number of wildflowers (at year x=0).
1.08 represents the yearly growth factor (8% increase).
x is the year number.
To find the equivalent equation for monthly growth, we need to consider that there are 12 months in a year. This means the yearly growth factor can be further divided into monthly growth factors.
Divide the exponent by the number of months:
In the yearly equation, the exponent x represents the year number. To represent months, we need to divide x by 12 (number of months in a year).
The new equation becomes: Y = 1000 * (1.08)^(x/12).
Apply the power of a power property:
(a^b)^c = a^(b*c). In this case, a = 1.08, b = 1/12, and c = x.
The equation becomes: Y = 1000 * ((1.08)^(1/12))^x.
Simplify the equation:
Calculate (1.08)^(1/12) using a calculator. This value is approximately 1.00692 (rounded to nearest thousandth).
Substitute this value back into the equation: Y = 1000 * (1.00692)^x.
Therefore, the equivalent equation representing the monthly growth of wildflowers is:
Y = 1000 * (1.00692)^x
Values of a, b, c, and d:
a = 1000 (initial number of wildflowers)
b = 1.00692 (monthly growth factor)
c = 0 (no x term in the exponent)
d = 0 (no constant term)
Question:
Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.