Answer:
1,2,4
Step-by-step explanation:
edge 2020 hope this helps :>
Final answer:
The true statement about finding the unknown side length of the triangle is that the equation a² + (√13)² = 6² can be used, following the Pythagorean theorem. Other stated equations and proposed lengths are incorrect based on the theorem's application.
Explanation:
The question involves applying the Pythagorean theorem to a right triangle with given side lengths. According to the theorem, in any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b). Therefore, the equation that can be used to find the unknown side length is a2 + b2 = c2. Given a triangle with one side as √13 meters and the hypotenuse as 6 meters, we can solve for the unknown leg.
Firstly, correct application for the Pythagorean theorem here is a2 + (√13)2 = 62, indicating the first statement is true. By substituting √13 for one leg and 6 for the hypotenuse, squaring the values and rearranging, we find the length of the unknown leg. The correct calculation leads to the discovery that the unknown leg length cannot be 7 meters or √23 meters, as those do not fit the requirements set by the question's parameters.
Therefore, the true statements are:
The equation a2 + (√13)2 = 62 can be used to find the unknown length.
Other suggested equations are incorrect applications of the Pythagorean theorem, and the provided side lengths do not result in the unknown leg measuring √23 or 7 meters.
Suppose your SAT score is 910. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 910, which average score below represents the
college that would be your best option?
O A 1470
O B. 1420
O C. 1190
O D. 900
Answer:
Option D: 900
Step-by-step explanation:
Please kindly check the attached files for further explanation.
Final answer:
The best option for a college based on an SAT score of 910 is the one with an average SAT score closest to this, which is option D with an average score of 900.
Explanation:
Based on your SAT score of 910, the college with the average SAT score closest to your score would likely be your best option. Among the options given:
A. 1470
B. 1420
C. 1190
D. 900
Option D, with an average SAT score of 900, represents the college that is most aligned with your score of 910 and would probably be the most attainable based on the SAT score alone. However, keep in mind that colleges consider a mix of factors including GPA, community service, and other inputs beyond just SAT scores for admissions.
Timed test please help. Can someone please help me explain how you graph the circle from the equation below and how you find the center and the radius? I will mark brainliest.
Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm) 750 m 7.5 m 7,500 m 0.75
The height of the rectangular prism in meters is calculated as: D. 0.75 m.
What is a Rectangular Prism?A rectangular prism is a type of a box having a width, length, and a height.
The height of the rectangular prism is 75 cm.
1 m = 100
75 cm converted to meters would be: 75/100 = 0.75 meters.
Thus, the height of the rectangular prism is calculated as: D. 0.75 meters.
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Answer:
0.75
Step-by-step explanation:
hope this helps
04:49
app.mymaths.co.uk
83
Satnam is making a cake. He uses a batter made of 300 g of
dry ingredients. If the liquid has to be two sevenths of the
total weight of the batter, how much liquid should he add?
Given: m LHE =84°
Find: m∠EYL.
Answer: [tex]m\angle EYL=96\°[/tex]
Step-by-step explanation:
For this exercise you need to use the formula for calculate the measure of the angle formed by two tangents intersecting outside of a circle. This is:
[tex]Angle\ formed \ by\ two\ tangents = \frac{1}{2}(Difference\ of\ Intercepted\ Arcs)[/tex]
According to the information given in the exercise, you know that:
[tex]Angle\ formed \ by\ two\ tangents = m\angle EYL\\\\Difference\ of\ Intercepted\ Arcs=m LVE-mLHE[/tex]
Since there are 360 degrees in a circle, you can determine that:
[tex]mLVE=360\°-mLHE\\\\mLVE=360\°-84\°\\\\mLVE=276\°[/tex]
Therefore, knowing these values, you can substitute them into the formula given above and the evaluate, in order to find the measure of the angle EYL. This is:
[tex]m\angle EYL=\frac{1}{2}(276\°-84\°) \\\\m\angle EYL=96\°[/tex]
Which equation will help you find the measure of
angle x?
Answer:
x + 97 = 180
Step-by-step explanation:
Being that vertical line is straight, that 97 degrees and x must add up to equal 180 degrees. Therefore, x + 97 = 180 would help you solve for x.
5y(-y^2+7y-2) multiply
Answer:
-5y3+35y2-10y
Step-by-step explanation:
What is the area of this irregular figure
O 54 cm?
O 72 cm?
O 216 cm?
432 cm?
Answer:
72
Step-by-step explanation:
Area= height x width
12 X 6 = 72
The area of this irregular figure is,
⇒ A = 54 cm²
We have to given that;
Figure is shown in image.
Here, Figure is made by a rectangle and a triangle.
Hence, The area of this irregular figure is,
⇒ A = 1/2 (12-6) × 6 + (6 × 6)
⇒ A = 1/2 × 6 × 6 = 36
⇒ A = 18 + 36
⇒ A = 54 cm²
Thus, The area of this irregular figure is,
⇒ A = 54 cm²
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The histogram shows how many jogging runs Maria made for each interval of miles.
( this is what the histogram shown has)
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 is 7 runs; 7 to 7.99 miles is 4 runs.
Which statement about the histogram is true?
The majority of Maria’s runs were short, two-mile runs.
More than half Maria’s runs were less than five miles each.
The majority of Maria’s runs were between five and six miles.
At least 15 of Maria’s runs were more than four miles each.
Answer:
at least 15 of Maria's runs were more than four miles each
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please answer 5x < 10?
Answer:
x < 2Step-by-step explanation:
Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.
Step 1: Divide by 5
x < 2
Step 2: Check
5(1) < 10
5 < 10✔️
Step 3: Check Again
Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.
5(-6) < 10
-30 < 10✔️
Step 4: Verified Answer
x < 2
I'm always happy to help :)
Answer: x < 2
Step-by-step explanation: Since x is being multiplied by 5, we divide by 5 on both sides of the inequality to get x < 2.
Which point is on the graph of the function
f(x) = One-half(2)x?
(0, 1)
(0, 2)
(1, One-half)
(1, 1)
Answer:
1,1
Step-by-step explanation:
Answer:
The answer is D (1,1)
Step-by-step explanation:
Which fraction is equivalent to 1.240?
Question 1 options:
A)
180∕3333
B)
18∕333
C)
180∕333
D)
180∕33
Answer:
C
Step-by-step explanation:
the answer is easy this just commen scence the decimal is in the tenth there for you get 180/333 bc thats the only answer
Answer:
180333
Step-by-step explanation:
cause of the decimal
2S
Alexandra wants to buy a CD for $400 that earns 4% APR and is compounded
quarterly for 3 years. She will be taxed on 20% of the interest that she earns.
What is the total amount of interest Alexandra will earn, after taxes?
O A. $40.58
O B. $12.99
O c. $16.24
O D. $50.73
SUBMIT
The total amount of interest Alexandra will earn, after taxes is, $51.05.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, To calculate the total amount of interest Alexandra will earn, we first need to calculate the annual interest rate.
Since the APR is 4%,
Hence, we can calculate the quarterly interest rate by dividing 4 by 4 = 1%.
Next, we need to calculate the number of quarters in 3 years which is,
⇒ 3 x 4 = 12 quarters.
Now, Using the formula for compound interest, we can calculate the balance of Alexandra's account at the end of the 3-year period:
Balance = Principal (1 + (rate/n))ⁿˣ
where, P = Principal = $400
r = Annual interest rate = 4%
n = Number of times interest is compounded per year = 4 (quarterly)
x = Number of years = 3
Plugging in the values,
Balance = $400 (1 + (0.04/4))¹²
= $463.81
Next, we need to calculate the total amount of interest Alexandra earned, which is the difference between the balance and the principal:
Total interest earned = $463.81 - $400 = $63.81
Since Alexandra will be taxed on 20% of the interest, we need to calculate the amount of tax she will pay:
Tax = 20% of $63.81
= $12.76
Finally, we can calculate the total amount of interest Alexandra will earn after taxes:
Total interest earned after taxes = $63.81 - $12.76 = $51.05
Therefore, the correct answer is, $51.05.
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Answer:
40.58
Step-by-step explanation:
Use a trigonometric ratio to find the value of x. Round your answer to the nearest
tenth.
Answer:
x=63.256% 63.3-rounded to the nearest tenth.
Step-by-step explanation:
In a short paragraph, explain how to solve for the value of x in 3x-5=11
Answer:
Fist you add 5 to the -5 and 11. Then you should get 3x=16. Next you divide 3 on both sides. Your answer should be x=16/3.
Step-by-step explanation:
) 6. What is the volume of the composite figure
below?
9ft
6ft/
27 ft
Chapter 11 703
Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 (repeating).
Answer:
7/9
Step-by-step explanation:
Let x= 0.7(repeating)
Then, 10x=7.7 (repeating)
Then subtract the first equation from the second
10x= 7.777... - x= 0.777... /9x=7
therefore, x= 7/9
93, 95 , 102, 91, 104, 93, 95, 98, 97, 92 , 102 , 96, 92, 104 , 100, 98,
Find the MEAN is this data set ?
And the ABSOLUTE DEVIATION ?
The mean of a dataset is the sum of the elements divided by how many elements are present in the data set.
The sum of the elements in this dataset is
[tex]93+95+102+91+104+93+95+98+97+92+102+96+92+104+100+98=1552[/tex]
And there are 16 elements, so the mean is
[tex]\mu = \dfrac{1552}{16}=97[/tex]
The absolute deviation is computed as follows:
For each term in the dataset, we consider its distance from the mean. In formulas, we compute [tex]|x_i-\mu|[/tex] for every element [tex]x_i[/tex] We take the average of all these terms: [tex]\frac{1}{n}\sum|x_i-\mu|[/tex]So, following the first point, the new dataset is
[tex]\{4, 2, 5, 6, 7, 4, 2, 1, 0, 5, 5, 1, 5, 7, 3, 1\}[/tex]
And the average of this dataset is
[tex]\dfrac{4+2+5+6+7+4+2+1+0+5+5+1+5+7+3+1}{16} = \dfrac{58}{16}=3.625[/tex]
► 00:00
Lorenzo has a package that weighs 2 pounds.
He wants to check the weight of the package on a scale, but he only has weights that are measured in ounces
Drag the weights into the box that will balance the scale. Each weight can be used once or not at all,
4 oz
10 OZ
12 oz
16 OZ
30 oz
Weights Needed to Balance Scale
Answer:
16 oz, 12 oz, 4 oz
Step-by-step explanation:
Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.
2 pounds is equal to 32 ounces.
To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.
After this you can youse a 12 ounce weight, which brings it down to 4 ounces.
The last weight needed is the 4 ounce weight which will then level out the balance scale.
Which best describes the association and the shape of the scatter plot below?
Answer:add the scatter plot
Step-by-step explanation:
Triangle XYZ is located in the first quadrant of the coordinate plane. If this triangle is
reflected over the y -axis, what is true about the vertices of the reflection?
A. The x-values are negative and the y-values are positive.
B. The x-values are positive and the y-values are negative.
C. The x- and y-values are positive.
D. The x- and y-values are negative,
PLZ HELP!!
Answer:
the answer is C. they are both positive.
Step-by-step explanation:
This is because over the y axis is the first quadrant which is always positive.
Final answer:
Upon reflection over the y-axis, the x-values of the vertices become negative, and the y-values remain positive; hence, option A is correct.
Explanation:
The question asks what is true about the vertices of a triangle located in the first quadrant of the coordinate plane when it is reflected over the y-axis. A reflection over the y-axis in the Cartesian coordinate system would mean that for any point (x, y) on the triangle, the x-coordinate would change its algebraic sign while the y-coordinate would remain the same. This is due to the properties of reflection over an axis where coordinates perpendicular to the axis of reflection change signs, and those parallel remain unchanged.
The correct answer here would be A. The x-values are negative because they are reflected across the y-axis, changing their signs from positive to negative. However, the y-values would remain positive since the triangle is still located in the quadrant above the x-axis, where y-values are positive.
Question in image! There is multiple answers. (Thanks for help
Answer:
7(x+2)
7x+14
(7)(x)+(7)(2)
Step-by-step explanation:
Which number is equal to 10 Superscript negative 3?
–1,000
–30
0.001
0.003
Answer:
Step-by-step explanation:
0.001
Answer:
0.001
Step-by-step explanation:
Any number to a negative exponent is equal to 1/number^exponent
Ex: 2^-2 = 1/2^2
10^3 = [tex]\frac{1}{10^{3} }[/tex] = [tex]\frac{1}{1000\\}[/tex] = 0.001
The sum of 3 times a number and 9 equals 4 use the variable b for the unknown number write in an equation
Answer: b= -5 over 3
Step-by-step explanation:
create the equation 3b + 9 = 4
subtract 9 from each side to isolate the variable
we are left with 3b = -5
to further isolate the variable divide by 3
3b/3 = -5/3
3b divided by 3 is b, which is equal to -5 divided by 3; -5/3
b = -5/3 is your answer
Final answer:
To represent the statement 'The sum of 3 times a number and 9 equals 4' with b as the unknown number, the equation is 3b + 9 = 4. Solving for b gives us b = -5/3.
Explanation:
The question asks to write an equation with the variable b as the unknown number, where three times this number plus nine is equal to four. To write the equation we need to translate the sentence into mathematical terms: three times a number can be expressed as 3b, and 'the sum of 3 times a number and 9' can be written as 3b + 9. Therefore, the complete equation that represents the sum of 3 times a number and 9 equals 4 is 3b + 9 = 4.
To solve for b, we can carry out some simple math by subtracting 9 from both sides to get 3b = -5, and then dividing both sides by 3 to find the value of b, which would be b = -5/3.
A rectangle has an area of 273.48 square kilometers and a base of 15.9 kilometers. What is the height?
Answer:
The height is 17.2 milometers.
Step-by-step explanation:
l*w=A
273.48=15.9*h
1/15.9*273.48=15.9*1/15.9*h
17.2=h
Answer:
17.2 kilometers
Step-by-step explanation:
A=w*l or b*h
So to find the height you divide the total of 273.48 and divide it by the base of 15.9.
273.48÷15.9=17.2
Membership toa music club cost $60. Members pay $25 per music lesson and nonmembers pay $30 per music lesson. how many music lessons would have to be taken for the cost to be the same for members and nonmembers?
Answer:
150
Step-by-step explanation:
Members would have to pay 6 time and nonmembers would have to pay 5 time because if members pay 25 then 25 time 6 is 150 and if nonmembers pay 30 then if you time 30 by 5 you get 150
What is the missing reason?
solve for 3 tanx = sqrt3 tanx
Answer:
Correct Answer is D.
Step-by-step explanation:
Solve for tanx,
3tan2x−√3tanx=0
√3tanx(√3tanx−1)=0
Thus tanx=0,tanx=1√3
For tan x =0, the principal solution is x=0,π
For tanx=1√3, the principal solution would be x=π/6,7π/6
The solutions are x = nπ, where n is any integer.
We are given the trigonometric equation 3 tan(x) = √3 tan(x). To solve for x:
Subtract √3 tan(x) from both sides of the equation to get all terms involving tan(x) on one side: Factor out tan(x): Set each factor to zero and solve for x: tan(x) = 0 when x is an integer multiple of π:x = nπ where n is any integer.
This represents all angles where the tangent is zero.
The interest on a $6,000, 6%, 60-day note receivable is
a. $30.
b. $360
c. $180.
d. $60.
Answer:
The answer is c or $180
Step-by-step explanation:
1. Jamal, Rick, and Maria ran for sixth-grade class president. The election results are shown:
Jamal 60 votes
Rick
50 votes
Maria 40 votes
What is the ratio, in simplest form, of the number of votes Rick received to the number of votes
Jamal received?
The ratio of votes Rick received to the votes Jamal received, in simplest form, is 5:6. This was calculated by dividing Rick's 50 votes by Jamal's 60 votes and then reducing the resulting fraction.
Explanation:The question asks for the ratio of the number of votes Rick received to the number of votes Jamal received in a sixth-grade class president election. To find this ratio, we simply divide the number of votes each candidate received. Rick received 50 votes, and Jamal received 60 votes.
Now we divide Rick's votes by Jamal's votes: 50 ÷ 60. When we reduce this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 10 in this case. So, the simplified ratio is 5:6. This means that for every 6 votes Jamal received, Rick received 5 votes.