The length of the other leg is 13.1
Given.
The length of the hypotenuse of a right triangle is 30 inches.
The length of one leg is 27 inches.
To the nearest tenth, we need to find the length of the other leg.
What is a Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the square of the other two sides.
We have,
Length of the hypotenuse = 30 inches.
Length of One leg = 27 inches.
Let the length of the other leg be x.
Now,
Applying the Pythagorean theorem.
30² = 27² + x²
900 = 729 + x²
Subtracting 729 on both sides
900 - 729 = 729 + x² - 729
171 = x²
x² = 171
x = 13.07669
Rounding to the nearest tenth
We get,
x = 13.1
Thus the length of the other leg is 13.1
Learn more about the finding length of a side of a right-angled triangle here:
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Does anyone know the answer?
Answer:
A. <ACB
Step-by-step explanation:
When you name an angle with three points, the vertex must be in the middle.
The vertex is B, so B must be in the middle.
Answer: A. <ACB
Write the numbers in decreasing order.
- 13. – 1.73, - 265,2.18,
Choose the correct answer below.
A.
2.18. - 13. - 1.73, -275
B. 2.18,
- 1.73, -275, -13
c. - 13, - 245, -1.73, 12
4: 2.18
D. -275, - 13, 2.18,
- 1.73
Need to find x please help!!!!!!!!!!!!!!
Answer:
x=17
Step-by-step explanation:
It's a right angle, therefore it has to equal 90.
90=22+4x
90-22=68
68 divided by 4 is 17
Answer:
X=5.75
Step-by-step explanation:
4x+22=45
4x=23(because you subtract 22 from both sides)
23/4=5.75
what digit is in the hundredths place 132.054
Answer:
5
Step-by-step explanation:
0 is 10ths 5 is 100ths
Use the graph to write an equation of the line. y= Question 2 Interpret the slope. The cost of the meal increases $0.20 for each dollar spent on the tip. The tip increases $0.20 for each dollar spent on the meal. The cost of the meal increases $0.50 for each dollar spent on the tip. The tip increases $0.50 for each dollar spent on the meal.
Answer:
$0.20
Step-by-step explanation:
Note that the graph does not have a vertical intercept other than (0, $0); it shows a proportional relationship. For each $1 increase in the cost of the meal, the tip increases by $0.20.
The equation of the line is:
[tex]y = 0.2x[/tex]
The slope is of $0.2, which means that the tip increases $0.20 for each dollar spent on the meal.
The equation of a line, in slope-intercept form, is:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
When x = 0, y = 0, thus the y-intercept is [tex]b = 0[/tex].When x = 10, y = 2, thus, considering that the slope is given by change in y divided by change in x:[tex]m = \frac{2 - 0}{10 - 0} = 0.2[/tex]
The equation of the line is:
[tex]y = 0.2x[/tex]
x is the cost of the meal, y is the tip, thus, the slope is of $0.2 means that the tip increases $0.20 for each dollar spent on the meal.
A similar problem is given at https://brainly.com/question/22566209
1-1 Relations and Functions The following list details the numbers of tickets sold for a talent show: grade 9: 22; grade 10: 32; grade 11: 41; and grade 12: 30. What are the domain and range of this relation? A. domain: {22, 32, 41, 30}; range: {9, 10, 11, 12} B. domain: {9, 22, 10, 32}; range: {11, 41, 12, 30} C. domain: {9, 10, 11, 12}; range: {22, 32, 41, 30} D. domain: {11, 41, 12, 30}; range: {9, 22, 10, 32}
Answer:
[tex]Domain = \{9, 10, 11, 12\}[/tex]
[tex]Range = \{22, 32, 41, 30\}[/tex]
Step-by-step explanation:
Given
Grade 9: 22
Grade 10: 32
Grade 11: 41
Grade 12: 30
Required
Determine the domain and the range
The domain and range of a function is represented as thus (x,y)
From the given parameters;
[tex](x,y) = (Grade\ 9, 22), (Grade\ 10, 32) (Grade\ 11, 41), (Grade\ 12, 30)[/tex]
Remove "Grade" to represent as only digits
[tex](x,y) = (9, 22), (10, 32), (11, 41), (12, 30)[/tex]
Split to x and y values:
Where x = domain and y = range
[tex]Domain = \{9, 10, 11, 12\}[/tex]
[tex]Range = \{22, 32, 41, 30\}[/tex]
So, from the list of given options; option C answers the question.
100 milk cartons were put out for breakfast, After breakfast, there were 40 milk cartons left. What is the ratio of milk cartons drunk to total milk cartons put out?
Answer:
The ratio of milk cartons drunk to total milk cartons put out= 3 : 5
Step-by-step explanation:
Total milk cartons put out for breakfast=100
Milk cartons left after breakfast=40
Total milk cartons drunk during breakfast = Total milk cartons put out for breakfast - Milk cartons left after breakfast
=100 - 40
=60
Total milk cartons drunk during breakfast = 60
What is the ratio of milk cartons drunk to total milk cartons put out?
Total milk cartons drunk during breakfast : Total milk cartons put out for breakfast
= 60 : 100
=3 : 5
The ratio of milk cartons drunk to total milk cartons put out= 3 : 5
g) Express 30 miles per hour in feet per minute.
Which statements are true about car color? Choose four correct answers. White is the most popular in every region. Red is the most popular in the East than in the other regions. About 23% of the people in the West have a green car. About 17% of the people in the Midwest have a gray car. Silver and black are equally popular in the East.
Answer:
These are the four correct options are:
White is the most popular in every region.
About 23% of the people in the west have a grey car not green car.
About 17% of the people in the mid west have a grey car
Silver and black are equally popular in the east..
The correct options are shown below:
What is Bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column chart.
According the given Bar graph the following are the correct answers are:
White is the most popular in every region. Red is the most popular in the East than in the other regions. About 17% of the people in the Midwest have a gray car.Silver and black are equally popular in the East.Learn more about bar graph here:
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Which function describes this table of values?
Answer:
[tex]y=\frac{4}{5}x[/tex]
Step-by-step explanation:
Equations in the given options are linear, so the table given represent a linear function.
Let the equation of the linear function is,
y = mx + b
Since this equation passes through (0, 0),
0 = m(0) + b
b = 0
Therefore, equation of the line will be,
y = mx
Slope of the line passing through (10, 8) and (5, 4),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{8-4}{10-5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, equation of the line will be,
[tex]y=\frac{4}{5}x[/tex]
Option (2) will be the answer.
Please answer this question for me please!!! Today I got headaching questions from other subjects and my mind has stopped!☠️ Question number 7, 13, and 16 please!!! It's worth 20 points!!!
Answer:
7a) 5/8 cup
7b) 4 3/8 cup
Step-by-step explanation:
a) Divide 1 1/4 by 2:
Do this by putting the 1 into the fraction and then convert to 8th
1 1/4 = 5/4 = 10/8
(10/8)/2 = 5/8
b) 3 1/2 * 1 1/4 = 7/2 * 5/4 = 7*5/(2*4) = 35/8 = 4 3/8
which of the following verified that ABC is similar to DEF
Answer:
D
Step-by-step explanation:
The two triangles are similar by the property side angle side.
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Here in the triangles, the angle is equal and the sides are dilated by factor two from 18 to 9. It means that the sides are similar to each other and the angle is the same.
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Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *
Answer:
He drove 63 miles in one day
Step-by-step explanation:
151.2/2.4=63
7)
(4y2 - y) - (5y – 2y2) = - (12 – 3y) + 6y? Solve.
Answer:
y=-12/137
Step-by-step explanation:
who is the smartest man in the world
Answer:
i think its Stephen Hawking
Step-by-step explanation:
Answer:
Born in Boston in 1898, William James Sidis made the headlines in the early 20th century as a child prodigy with an amazing intellect. His IQ was estimated to be 50 to 100 points higher than Albert Einstein's. He could read the New York Times before he was 2.
Step-by-step explanation:
At a school carnival, 57 out of 95 tickets sold were early-admission tickets. What percentage
of the tickets were early-admission tickets?
Write your answer using a percent sign (%).
Answer:
60%
Step-by-step explanation:
57/95×100
hope this helps :)
Answer:
60%
Step-by-step explanation:
There is a total of 95 tickets, and 57 of them were early-admission tickets.
To find the percentage, we divide early-admission tickets by the total number of tickets, which is 57/95.
We can then simplify 57/95, getting 3/5, or 0.6, which is 60%.
1/4x -18=-22 please include step by step i already know the answer i just need step by step. will award brainliest.
Answer:
Hope this helps
Step-by-step explanation:
1/4x = -22 + 18
1/4x = -4
4(1/4x) = 4(-4)
x = -16
Joseph is making kebabs.He wants each kebab to have 3 pieces of meat and 4 pieces of vegetable. Which of the following could Joseph use to make kebabs without any leftovers?
c, d, and e. My assignments gave me 3 answers.
Solve the equation for u.
Uw + uq=r
Answer:
u = [tex]\frac{r}{w+q}[/tex]
Step-by-step explanation:
Given
uw + uq = r ← factor out u from each term on the left side
u(w + q) = r ← divide both sides by (w + q)
u = [tex]\frac{r}{w+q}[/tex]
The equation uw + uq = r is solved for u will be written as u = r / (w + q).
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
uw + uq = r
Simplify the equation for u, then the equation will be written as,
uw + uq = r
u(w + q) = r
u = r / (w + q)
The equation uw + uq = r is solved for u will be written as u = r / (w + q).
More about the solution of the equation link is given below.
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Question 6 (1 point)
90 degrees clockwise is the same as?
Answer:
270 degrees counter clockwise
Step-by-step explanation:
360-90=270
the male elephant at the city zoo weigh 8,000 pound, which is the same as 4 tons. the female elephant weigh 7,000 pounds. how many tons does she weigh?
Answer:
3.5 tons
Step-by-step explanation:
Divide the pounds for the male by the amount of tons it is.
8000/4 = 2000
This is how many pounds are in one ton. Divide the weight of the female by this.
7000/2000 = 3.5
The female weighs 3.5 tons.
Does anyone know this ???
Answer:
m<PKN = 270 - m<JKN
Step-by-step explanation:
The measures of the three right angles JKM, MKL, and LKN add to 270 deg.
The measures of the angles JKP and PKN add to 270 deg.
m<PKN = 270 - m<JKN
Find the sum of (4x^3+2x) + (8x^3+4)
A chemist is using 354 milliliters of a solution of acid and water. If 15.8% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
There is 55.9 mL of acid in the solution.
Step-by-step explanation:
We have:
V = 354 mL
%(a): concentration of acid = 15.8 %
Hence, we can find the number of milliliters of acid as follows:
[tex] x = V*\%_{a} [/tex]
[tex] x = 354*\frac{15.8}{100} = 55.9 mL [/tex]
Therefore, there is 55.9 mL of acid in the solution.
I hope it helps you!
Find the total surface area of a solid cone of base radius 8cm and vertical height 6cm. (use the value 3.14 for π and give answers to the nearest cm2.
Answer:
351.68 cm^2
Step-by-step explanation:
Radius= 8cm
Vertical length (l)=6cm
therefore, Total surface area of a solid cone
= [tex]\pi r^{2} +\pi rl[/tex]
[tex]\pi r( r+l)\\3.14 *8(8+6)\\25.12(14)\\351.68[/tex]
Total Surface Area of the solid cone= 351.68 cm^2
Answer:
352cm²
Step-by-step explanation:
formula = πr² + πLr
L = 6cm
r = 8cm
π = 3.14
3.14 × (8²) + 3.14 × 6 × 8
200.96 + 150.72
= 351.68
to the nearest cm² = 352cm²
15mn + 5(m – 3mn) – 5m = _______
Answer:
0 (zero)
Step-by-step explanation:
15mn + 5(m – 3mn) – 5m
=15mn+5m-15mn-5m
=15mn-15mn+5mn-5mn
=0
Answer:
3n add 1
Step-by-step explanation:
15 mn add 5m - 15mn - 5m
or, 5m( 3n add 1 ) - 5m( 3n add 1)
or, ( 5m - 5m ) ( 3n add 1 )
or, 3n add 1
2n = 16 What does "n" equal?
1. 0
2. 16
3. 8
4. 32
5. 36
Geometry and I need help
Answer:
y = 11
Step-by-step explanation:
We use the definition of Supplementary Angles and Adjacent Angles.
Step 1: Set up equation 1 (Definition of Supplementary Angles)
5x - 4 +7x - 8 = 180
Step 2: Solve for x
12x - 4 - 8 = 180
12x - 12 = 180
12x = 192
x = 16
Step 3: Plug in x
5(16) - 4
80 - 4
76°
Step 4: Set up equation 2 (Definition of Supplementary Angles)
76 + 9y + 5 = 180
Step 5: Solve for y
9y + 81 = 180
9y = 99
y = 11
Explain how to use the regression calculator to make a reasonable prediction given a data table
Answer:
Given data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Enter data into the regression calculator.Determine the regression equation.Substitute the correct value for x or y into the equation.Simplify to find the value of the other variable.Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Got it right on the quiz :)
What is the quotient and remainder 41÷6
Answer:
6.83 is the answer
Step-by-step explanation: