Answer:
The length of the missing leg is 12
Step-by-step explanation:
Right Triangles
A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.
Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:
[tex]a^2+c^2=b^2[/tex]
We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:
[tex]a^2=b^2-c^2[/tex]
Substituting:
[tex]a^2=13^2-5^2[/tex]
[tex]a^2=169-25=144[/tex]
Solving:
[tex]a=\sqrt{144}=12[/tex]
The length of the missing leg is 12
Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?
Complete question is;
Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?
Answer:
Maximum length of shaft = 30 inches
Step-by-step explanation:
To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.
From the attached image, we can see that it has four sides which are equal in length.
Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.
Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles
Answer:
144.66
Step-by-step explanation:
So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66
HELP PLEASE ! find the value of X the diagram is not to scale.
Answer:
20 + 4x = 180
Step-by-step explanation:
180-20= 160
160=4x
160/4= 40= x
Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship
(5/6) 2 x (1 1/10) 2
Answer:
11/3x
your welcome
Estimate the average time spent picking one's nose in minutes per day
Answer: 2 minutes
Step-by-step explanation:
According to the book, ''Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin'', on average, everyone picks their noses for 2 minutes each day.
This figure is simply a reasonable compromise between the least and highest amount of time that people can spend picking their nose in a day as well as the assumption that everyone does it.
which number is the additve inverse of -5
Answer:
Additive inverses add to 0. The additive inverse of a number is the opposite of the number.
I need help plz hurry
Answer:
a. 7
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
y - (x - z)
x = -4
y = 5
z = -2
Step 2: Substitute and Evaluate
5 - (-4 - (-2))
5 - (-4 + 2)
5 - (-2)
5 + 2
7
Answer:
A. 7
Step-by-step explanation:
Plug in the values of x, y, and z: 5 - (-4 - -2)Simplify: 5 - (-4 + 2)-4 + 2 = -2Plug -2 in: 5 - (-2)Simplify: 5 + 25 + 2 = 7I hope this helps!
The points on a scatterplot increase rapidly. You run a linear regression on
the data. The residual plot shows a pattern, and is low.
Which of these methods would likely result in a better model of the data?
A. Run a quadratic regression on the data and then linearize the data.
B. Linearize the data by taking the log of the response variable, and
then run a linear regression.
C. Linearize the data by taking the logs of both variables, and then
run a linear regression.
D. Linearize the data by taking the log of the response variable, and
then run an exponential regression.
Answer:
B
Step-by-step explanation:
The method that would most likely result in a better model of the data is to :
Linearize the data by taking the log of the response variable, and then run a linear regression.
A linear regression can be expressed as
[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]
The linear regression is applied to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.
Answer:
B
Step-by-step explanation:
which postulates make these triangles congruent
Answer: 1) ASA
2) AAS/SAA
3) Not possible
Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent
Kayla wants to know if she can afford the two sweaters. (which are $20.75 and $34.95) Given that $34.95, mentally add $20.75 plus $35 and the sum gives her $55.75. How will Kayla have to compensate to get the exact sum of the two prices?
Answer:
I think she will need to divide or subtract to get the exact sum of the two prices .
Step-by-step explanation:
00:00
The numbers below follow a pattern.
0.007
0.07
0.7
7
Part A
What are the next two numbers in the pattern? Drag the numbers in the boxes.
70
700
7000
70000
0.007
0.07
0.7
7
Answer:
0.7 and 0.07
Step-by-step explanation:
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer:
1/10th
Step-by-step explanation:
Maria incorrectly placed the decimal
point when she wrote 0.65 inch for the
width of her tablet computer. What is the
correct decimal number for the width?
Answer: 6.5 inches
Step-by-step explanation:
this measurement makes the most sense for the width of a tablet computer
Review the proof of de Moivre’s theorem (not in order).
Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?
steps B and C
steps B and D
steps C and D
steps C and E
Answer:
steps B and D
Step-by-step explanation:
the correct chart is below :)
The steps which must be switched to put the proof in order are steps B and D
Since [cos(θ) + isin(θ)]k + 1
= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
= cos(kθ + θ) + isin(kθ + θ)
= cos[(k + 1)θ] + isin[(k + 1)θ]
Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.
So, steps B and D must be switched.
The steps which must be switched to put the proof in order are steps B and D.
Learn more about De Moivre's theorem here:
https://brainly.com/question/11889817
Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero
Answer:
D: Line M is a horizontal like with a slope of zero
Step-by-step explanation:
A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.
Therefore, we can rule out A and B.
A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.
Therefore, C is wrong and D is our answer.
Let's first find the slope of the line.
We can do this using the slope formula.
m = y₂ - y1 / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have 9 - 9 / -1 - (-5).
So we have 0 / 4 which is 0.
So the slope of our line is zero.
We can eliminate any choices that say the slope is undefined.
Now, if we have a slope of zero, the line is flat or horizontal.
So we know line M has to be a horizontal or flat line with a slope of zero.
So our answer is D.
50 Points, Will mark brainliest!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
Answer:
m∠ACD = 50°
m∠BDC = 160°
Step-by-step explanation:
From the picture attached,
Two parallel lines AC and BD are intersected by a transversal line.
Angles formed ∠ACD and ∠BDC are the consecutive angles.
By the theorem of consecutive interior angles,
m∠ACD + m∠BDC = 180°
(5x + 25)° + (25x + 35)° = 180°
30x + 60 = 180
30x = 180 - 60
30x = 150
x = 5
Therefore, m∠ACD = (5x + 25)
= 5(5) + 25
= 50°
And m∠BDC = (25x + 35)°
= 25(5) + 35
= 125 + 35
= 160°
2 ( 3x + 1 ) = x - 8
Answer:
x=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
6x + 2 = x-8
6x - x = -8 -2
5x=-10
x=-2
63+5(8+1/5)
the 6 and 3 is not 63 it is 6 and a 3 in the corner.
is 3.4567 irrational or rtional
Answer:
3.4567 is a rational number
Step-by-step explanation:
An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.
For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational
The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.
Answer:
A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] n = 14 [/tex]
C. 78° and 102°
Step-by-step explanation:
A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:
[tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
Solve for n.
[tex] 4n + 22 + 8n - 10 = 180 [/tex]
Collect like terms
[tex] 12n + 12 = 180 [/tex]
Subtract 12 from both sides
[tex] 12n + 12 - 12 = 180 - 12 [/tex]
[tex] 12n = 168 [/tex]
Divide both sides by 12
[tex] \frac{12n}{12} = \frac{168}{12} [/tex]
[tex] n = 14 [/tex]
C. Plug in the value of 14 to get the measurement of both angles
[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]
[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]
Subtract the equation
-7 - 12 =
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
Your god mother is baking a cake for your Halloween
party. She has a giant cake pan makes a cake four times
the size of any regular cake. The giant cake needs five
cups of flour. How many cups does a regular size cake
need?
Answer:
2
Step-by-step explanation:
Divide 4 into an even number, so its 2.
Answer:
1.25 or 1 and 1/4th
Step-by-step explanation:
you have to divide the cups of flower by the size of the pan
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
Aaron can buy 4 tickets for $33. How much will it cost for 11 tickets?
Answer:
$90.75
Step-by-step explanation:
$33 dollars divided by 4 tickets is $8.25 (original price) so then $8.25 x 11 is $90.75
G
Which fraction is equivalent to 6?
12 / 2
3
2 2+1 3
7, because
6 6+17
mo
2 1 1 3
because 6 - 3 and
39
2 /
3
12
2 1
because =
6 3 and
2
nd 3 -
3
12
2 1
8.
because 6 2
2+1 3
6+28
Answer:
what is the question
Step-by-step explanation:
i don't understand what you're trying to say
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12
Answer:
13/15 > 4/5 is a true stament.
Step-by-step explanation:
The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.
Gabe and Gabriella must write expressions equal to 8(3 + 5). Gabe wrote 8(5 + 3). Gabriella wrote 8(3) + 8(5). Which statement is true about these expressions?
A. Gabe used Distributive Property
B. Gabe used Associative Property
C. Gabriella used Distributive Property
D. Gabriella used Associative Property
Write 3.4 times 10^-2
Answer:
0.034
Step-by-step explanation:
10^-2 is 1 over 100 times 3.4