Answer:
Hypotenuse = 45 inches
Step-by-step explanation:
Let the hypotenuse be known as "C".
Definition of hypotenuse:
The hypotenuse is the longest side in a right triangle.
Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.
Pythogoras theorem
x² = y² + z²[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].
We are given that:
Leg A = y = 27 inchesLeg B = z = 36 inchesHypotenuse = x = C inchesWhen the meausures are substituted in the formula, we get;
⇒ (C)² = (27)² + (36)²Evaluate the squares on the right hand side:
⇒ (C)² = (27)² + (36)²⇒ (C)² = 729 + 1296Simplify the expression on the right hand side:
⇒ (C)² = 729 + 1296⇒ (C)² = 2025Take square root both sides of the equation:
⇒ √(C)² = √2025⇒ C = 45 inchesTherefore, the measure of the hypotenuse is 45 inches.
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Sphere B is the image of sphere A after dilation by a scale factor of 44. If the surface area of sphere B is 432 km^2, find the surface area of sphere A, the preimage.
27 km²
Step-by-step explanation:[tex]SA=4\pi Jr^2[/tex]
[tex]4\pi r^2_B=432[/tex]
[tex]r^2_B=\frac{108}{\pi}[/tex]
[tex]r_B=\frac{6\sqrt3}{\sqrt{50}}[/tex]
[tex]r_A=\frac{r_B}{4}=\frac{3\sqrt3}{2\sqrt\pi}[/tex]
[tex]S_0SA=4\pi Y\begin{matrix}2\\A\\\end{matrix}[/tex]
[tex]=4\pi\bullet\frac{27}{4\pi}[/tex]
[tex]=27\ km[/tex]
[tex]Y_B:Y_A=4=1[/tex]
[tex]SA_B:SA_A=16:1[/tex]
[tex]432\div 16=27\ km^2[/tex]
[tex]simple\ relation.[/tex]
I hope this helps you
:)
5. Do 4 x (1 + 3%) and 4 x (1 + 3)' have the same answer? Explain.
Answer:
no. so the first answer I got was 4.12 and the other 16
Step-by-step explanation:
4×(1+3%)
3%=0.03
0.03+1= 1.03
1.03*4= 4.12
4*(1+3)
1+3=4
4*4=16
I hope that helps you
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house
For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house is mathematically given as
Y = 1.33-0.667X and 5.3332
What is the number of kilowatt-hours, in thousands, for a six-room house?Generally, the equation for the standard deviation is mathematically given as
[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]
= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]
= 2.72
[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]
= 2.01
therefore correlation coff
r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]
r = 0.9038
In conclusion the regression equation is given
b = r_sy/sx
b = (0.9038)(2.01/2.72)
= 0.667
intercept
a = 7.4-0.667(9.1)
a = 1.33
The regression equation is
Y = 1.33-0.667X
(b) number of kilowatts x = 6 house
Y = 1.33-0.667X
Y = 1.33-0.667(6)
= 5.3332
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Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you
Answer:
13:192 in2
Step-by-step explanation
with the pythagoras theorem you can find the base =6
base x height /2= area =24
two triangles=24.2 =48
square one side =12
area=12.12=144
area of the shape = 144+48=192
Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)
-> The triangle's base length is 12.
So, the square's length is also 12.
We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2
what point can be used to create a right triangle the āb as its hypotenuse
Please help me with this quick!
Answer:
y = -4x+7 is the equation simplified and answer choice A is the right answer.
Step-by-step explanation:
Your equation: y - 6 = -4(x+1)
Your Objective: You need to simplify the original equation and find another equation that is equivalent to the original equation.
Let's focus on the -4(x+1) side first.
This needs to have the distributive property applied.
Take -4 and multiply it by x and 1.
You should have -4x+1
Your equation now:
y - 6 = -4x+1
We want y to be by itself.
So add 6 to both sides.
y = -4x+1+6
Use PEMDAS
y = -4x+7
The first answer choice "A" is correct.
6. A festival is renting out booths to vendors for $55 for one day. There are 65 vendors and the festival occurs on Friday, Saturday, and Sunday. If the vendors participate on all the days, how much money will be collected by the festival from the vendors?
Answer: $10,725
Step-by-step explanation:
First, we'll find the money for all the vendors on one day.
65 * $55 = $3,575
Next, Friday [1], Saturday [2], and Sunday [3] is three (3) days. We will multiply $3,575 by 3.
$3,575 * 3 = $10,725
$10,725 will be collected from by the festival from the vendors.
What is the value of the expression 13x−34 when x=14?
Answer:
your answer will be 13×14-34
148
Solution:First, plug in the value of x:13(14)-34Now, multiply 13 times 14:182-34Now, subtract:148Hope it helps.
Do comment if you have any query.
formula for percent increase
Answer:
% Increase = Increase / Original Number × 100.
Step-by-step explanation:
Answer:
final value - original value / original value × 100
3x + 3y = 18
5x + 3y = 28
Answer:
(5, 1 )
Step-by-step explanation:
3x + 3y = 18 → (1)
5x + 3y = 28 → (2)
subtract (1) from (2) term by term to eliminate y
(5x - 3x) + (3y - 3y) = 28 - 18
2x + 0 = 10
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (1)
3(5) + 3y = 18
15 + 3y = 18 ( subtract 15 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (5, 1 )
[tex]x=6-y[/tex]
[tex]x=\frac{28-3y}{5}[/tex]
scientists measure a bacteria sample in a petri dish
Answer:
to grow bacterial cultures
what is negative 2 - 2/3?
Answer:
-2.66666666667
or just
-2.67
Step-by-step explanation:
In general, what does it mean for a transformation to be a rigid motion? Explain.
Answer:
A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.
Hope u like it
Question 2 of 10
A payroll register lists the total current period earnings as $23,400. It lists the total withholdings and deductions as $6,350. What does the journal entry to record payroll expenses list as the debits and credits for Salaries and Wages Expense and Salaries and Wages Payable?
A.
Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $17,050 debit
B.
Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit
C.
Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050 credit
D.
Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $6,350 debit
The journal entry to record payroll expenses is Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit.
What is the journal entry?In order to record the salaries and wages, the journal entry is to debit the Salaries and Wages Expense account. This is because money is leaving the company account.
The total deductions represent future payments. Thus it would be credited to the Salaries and Wages Payable account.
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Answer: C. Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050
Step-by-step explanation:
What is the perimeter of a 5 by 12 triangle?
Answer:
The perimeter of the triangle is 30 units.
Step-by-step explanation:
So
[tex]x^2[/tex]= [tex]5^2\\[/tex]+[tex]12^2[/tex]
[tex]x^2[/tex]= 25+144
[tex]x^2[/tex]=169
[tex]x^2\\[/tex]=[tex]\sqrt 169[/tex]
[tex]x[/tex]=13
The greatest side / hypotenuse of the triangle = 13
The perimeter of a triangle = Sum of all sides
5+12+13
30 units
Restaurants often slip takeout menus under Eli's apartment door. So far, Eli has collected 28 menus, including 7 for Italian food. Considering this data, how many of the next 24 menus slipped under Eli's door should you expect to be from Italian restaurants?
Answer:
6
Step-by-step explanation:
1st You have to find what percent is 7 for 28. (25%)
2nd You have to use that 25% in the 24. You have to find what is 25% of 24 (6)
There is your answer
Have a good day!
NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.
8 packets of candy costs rs 340? What is the cost of 15 packets of candy?
Answer:
637.5 or 637.50
Step-by-step explanation:
What is the measure of angle 5 if the measure of angle 2 is 45° and the measurement of angle 3 is 60°.
Answer:
cant see the photo? but answer is 15
Step-by-step explanation:
solve.
p/4 + 8 = 7
p= what?
Answer:
[tex]\huge\boxed{\bf\: p = -4}[/tex]
Step-by-step explanation:
p/4 + 8 = 7
Bring 8 to the left side of the equation.
p/4 = 7 - 8
p/4 = - 1
Bring 4 to the other side.
p = - 1 * 4
p = - 4
[tex]\rule{150pt}{2pt}[/tex]
Answer:
[tex]\boxed{\sf{p=-4}}[/tex]Step-by-step explanation:
To find the value of p, isolate it on one side of the equation.
p/4+8=7
First, you have to subtract by 8 from both sides.
p/4+8-8=7-8
Solve.
p/4=-1
Then, you multiply by 4 from both sides.
4p/4=4(-1)
Solve.
Multiply the numbers from left to right.
4(-1)=-4
[tex]\Longrightarrow: \boxed{\sf{p=-4}}[/tex]
Therefore, the final answer is p=-4.I hope this helps! Let me know if you have any questions.
What is 14 inches rounded to the nearest inch?
Answer:
6 inches
Step-by-step explanation:
1 inch = 2.54 cm.
1 cm = 1/2.54 inches.
14 cm = 14/2.54
14 cm, when rounded to nearest inch, results in around 6 inches.
Pls explain how u got ur answer need asapp
Answer:
39,492...
Step-by-step explanation:
Wouldn't the minimum yearly budget of City B just be the sum of all the monthly expenses multiplied by 12?
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.Given the following data points, calculate the curve of best fit. Show all steps.
The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.
Equation of Straight LineData;
∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6The equation of straight line is y = ax + b
If we modify it to fit into this problem,
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]
Let's substitute the values into the equations and solve
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]
Let's solve both equation (i) and equation (ii)
[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]
We can substitute the values of a and b into the equation
[tex]y = ax + b\\y = -30.17x + 14.49[/tex]
The equation of curve of best fit is y = -30.17x + 14.49
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Please help me answer question one. I have a lot of work geometry work that I need done.
What is the difference between a positive and negative correlation???
SHORT ANSWER
Answer:
For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia
Step-by-step explanation:
GEOMETRY QUESTIONS PLEASE HELP
What is the measure of /A?
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Answer:
135 degree is the measure of angle A
value of YZC in the follow
Answer:
URMMM WHERE IS THE DIAGRAM...
A group of 12 friends bought a boat costing $5,424. Each of the friends paid an equal share of the cost. How much did each person pay?
Answer:
452
Step-by-step explanation:
5424/12 is equal to 452
Each person pay $452.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A group of 12 friends bought a boat costing $5,424.
Now,
Since. A group of 12 friends bought a boat costing $5,424.
Hence, The cost of each person pay = $5,424 / 12
= $452
Thus, Each person pay $452.
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Solve the system of equations by elimination:
2 - 5y = 1
2x + 5y = 17
Answer:
X = 8 And y = 1/5
Step-by-step explanation:
add equaction i and education ii,
2 -5y = 1
2x +5y = 17
------------------
2+2x = 18
or, 2x = 18 - 2
or X = 16/2
or X = 8
Again from equation i,
2 - 5y = 1
or, -5y = 1 - 2
or, -5y = -1
or, y = -1/-5 (cut the subtraction sign)
or, y = 1/5