Answers
Answer:
b = 9cm is the answer.
Step-by-step explanation:
a = 12cm
b = ?
c = 15cm
By using the Pythagoras theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9cm.
∴ b = 9cm is the length of the missing leg.
Related Questions
Expand the expression -11(30 – 2d) using the Distributive Property.
Answers
Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
[tex]-330+22d[/tex], or the other way around
Step-by-step explanation:
[tex]-11*30=-330[/tex]
[tex]-11*-2d=22d[/tex]
If the points in the table lie on a parabola, write the equation whose graph is the parabola.
Answers
Answer:
what? i need a table to answer
Step-by-step explanation:
The art students are using clay. Each student needs 9/10 of a package of clay, there are 32 students in the class. How many packages of clay does the class need?
Answers
Answer:
29
Step-by-step explanation:
[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]
If x = 1 does x² - x = 0?
Answers
Answer:
Yes it does
Step-by-step explanation:
we would like to Prove the following for x=1:
[tex] \displaystyle {x}^{2} - x = 0[/tex]
since x=1 substitute:
[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]
to simplify it we can consider the order of PEMDAS which is a abbreviation of
ParenthesesExponentMultiplication orDivision Addition orSubstractionsince exponent come first
simplify exponent:
[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]
simplify substraction:
[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]
since left hand side equal to right hand side
hence, Proven
Alternate way:use a²-b²=(a+b)(a-b) to rewrite:
[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]
since x=1 substitute:
[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]
simplify square root:
[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]
simplify parentheses:
[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]
Multiplying any number by 0 results 0 thus
[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]
since left hand side equal to right hand side
hence, Proven
Given,
x = 1
We need to find if x² - x = 0 is true or false.
If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)
So,
=》x² - x = 0
By substituting ...
=》1² - 1 = 0
Now calculate...
=》1 - 1 = 0
=》0 = 0
•°• The given statement is true.
_____
RainbowSalt2222 ☔
Question 14
Find the volume of this sphere. Round to the nearest hundredth.
6.5 cm
cm cubed
Answers
Answer:
1150.35
Step-by-step explanation:
Two ride-sharing companies are competing for business in a large city. To help customers compare the companies, a data scientist selects a random sample of 40 completed rides from each of the two companies. From each sample, he computes the mean amount of time that passed between when the request for a pickup was placed and when the customer was picked up. Company A took, on average, 18 minutes to pick up customers with a standard deviation of 4 minutes. Company B took, on average, 12 minutes to pick up customers with a standard deviation of 10 minutes. (a) Construct and interpret a 98% confidence interval for the difference in mean response time for these two ride-sharing companies.
Answers
Solution :
Given :
[tex]$n_1 = n_2 = 40$[/tex]
[tex]$\overline X_1 = 18$[/tex]
[tex]$S_1 = 4$[/tex]
[tex]$\overline X_2 = 12$[/tex]
[tex]$S_2 =10$[/tex]
So we want to test :
[tex]$H_0 : \mu_1=\mu_2 $[/tex] vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]
a). For 98% confidence interval :
[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]
[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]
[tex]$=(6 \pm 4.0445)$[/tex]
= (1.956, 10.045)
Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?
Choose all that apply:
10
8.4
9.6
6
7.2
5
PLEASE HELP I Got 5 minutes
Answers
Answer:
10
8.4
5
Step-by-step explanation:
unidad de 1000 a Cuántos centímetros equivale
Answers
Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd? OPTIONS:
F
He can use his credit card to buy the television now.
G
He can save money and pay cash for the television at a later date.
H
He can use his debit card to buy the television now.
J
He can save money and use his debit card to buy the television at a later date.
Answers
Answer:
The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.
Step-by-step explanation:
Solve 3/4 = j- 1/2 j=
Answers
Answer:
3/8
Step-by-step explanation:
I BEG FOR MY LIFE EZ PLS
{{{{{{{PICTURE PROVIDED}}}}}}}}}
Answers
Answer:
B and D
Step-by-step explanation:
This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!
Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?
Answers
Answer:
secured loan
Step-by-step explanation:
Answer: Here
Step-by-step explanation:
You Go
If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above
Answers
Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct
For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answers
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then
Which numbers between 10 and 20 do not appear in the table at all?
And also why don’t they appear?
Answers
Answer:
11, 13, 17, 19,
Step-by-step explanation:
dunno
1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)
Answers
Answer:
I think its D
Step-by-step explanation:
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Answers
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.
Please help!!! Also if you could show work I need it!
Answers
For the hypotenuse since it is a 45,45,90 triangle the two side lengths are are same so it is x square root 2 divide by 2. Hope that helps!!
please help me .....
What is the average speed (rate) if you traveled 83.6miles in 3.8 hours?
Answers
Answer:
22 mph
Step-by-step explanation:
83.6 miles
3.8 hours
83.6/3.8 = 22 mph
Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.
Answers
Answer: 228 yds^2
Step-by-step explanation:
Surface Area= 2 (L x W) + (L x H) + (W x H)
2×(6×4 + 6×9 + 4×9) = 228
Need the answer to x and y !
Answers
Answer:
x=5, y=3
Step-by-step explanation:
7x-11=24: 7x=35: x=5
3(5)+9=8x: 24=8x: x=3
What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?
Answers
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
The scatter plot shows the heights ( in inches) and the shoe sizes of eight men. What is the height of the man whose shoe size is 12?
NO LINKS!!!
Answers
Answer: 72 inches
Step-by-step explanation:
Find the volume of the cone below. Leave your answer in terms of pi.
Answers
Answer:
ahaha it's B my guy
Step-by-step explanation:
peace out
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answers
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
What is the area of the rectangle below?
9 feet
7 feet
Answers
Answer:
63 feet ^2
Step-by-step explanation:
Well assuming your presented with length and width.
9*7=63
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answers
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
What is the answer please help no links please help
Answers
Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation
Answers
aced or higher please hellp i beg :C
Answers
Answer:
A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
B: 15 square units
Step-by-step explanation:
A:
Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)
B
The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.
The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.
The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24
The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.
The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9
The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units