Answers
The required value of x = 12 and the side length of the triangle is 12 units. which is determined by Pythagoras's theorem.
What is Pythagoras's theorem?
Pythagoras's theorem states that in a right-angled triangle, the square of one angle is equal to the sum of the squares of the other two sides.
The given triangle is a right-angled triangle.
As per Pythagoras's theorem,
⇒ a² + b² = c²
Here a = 16, b = x and c = 20
Substitute the values in the formula,
⇒ 16² + x² =20²
⇒ 256 + x² = 400
⇒ x² = 400 - 256
Apply the subtraction operation,
⇒ x² = 144
⇒ x = √144
⇒ x = 12
Therefore, the required value of x is 12 units.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
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Related Questions
8) If 15 balls cost Rs 225 then the cost of 8 balls is
Answers
Answer:
The cost of 8 balls is Rs $ 120.
Step-by-step explanation:
Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:
(225/15) x 8 = X
15 x 8 = X
120 = X
Thus, the cost of 8 balls is Rs $ 120.
117
x
x + 3
Find the value of x.
Answers
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answers
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
If AC = x + 6, and AB = 15 solve for x.
Answers
AC = AB
15 = 6 + x
15 - 6 = 9
please help me with this
Answers
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Answers
s-10
taking 10 away from s is really just subtracting 10 from s.
:)
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answers
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
9x + 18 - 5x = 2 + 4x
Answers
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
Please answer this I really need it pleaseeeeeeeeeeee
Answers
Answer:
WL = DC
Step-by-step explanation:
if you move the triangles to connect to eachother it would show that they are equal.
Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3
Answers
Answer:
D.
Step-by-step explanation:
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answers
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
ASAP!! WILL MARK BRAINLIEST!!!!!!!!
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5^x)
x f(x)= 2.5x - 10.5 g(x) = 64(0.5^x)
2
3
4
5
6
Answer in table format, picture below
Answers
Answer:
x = -0.35
Step-by-step explanation:
tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x
Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x
Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answers
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
Answers
What is the value of n when n = 2 ?
Answers
Answer:
2
Step-by-step explanation:
Is there an expression you need to solve?
n = 2 so the value would be 2
Hey! Do you mind helping me?
Answers
Answer:
20 - x^2 + y = 28
y+9x > 28
60 / y > 28
Step-by-step explanation:
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answers
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answers
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!
if the store has a sale and all sofas are marked down 45% off . What would be the price of a sofa that was $950.
Answers
Answer:
$522.50
Step-by-step explanation:
To find the price, multiply 950 by 0.55
950(0.55)
= 522.5
So, the sale price will be $522.50
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answers
Answer:
24.1cm
Step-by-step explanation:
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
13x² -7x -8 how to solve this
Answers
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify
(________)
Answers
Answer:7y=-4x+1
Step-by-step explanation:
y=mx+c
-5=-4/7(-9)+c
c=1/7
y=-4/7x+1/7
7y=-4x + 1
A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width
Answers
Answer:
The length is 117 ft and the width is 13 ft.
Step-by-step explanation:
From the question itself, we can write down the following equations...
(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)
L = 9W
and
P = 2L + 2W
Now, we substatute the "L" value and get...
P = 2L + 2W
260 = 2(9W) + 2W
260 = 20W
W = 260 / 20
W = 13
Since we know the width we can now find the length by using the very first formula...
L = 9W
L = 9(13)
L = 117
Therefore, the length is 117 ft and the width is 13 ft.
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answers
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answers
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answers
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?
A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
Answers
Answer: I believe it’s C
Step-by-step explanation: I hope i’m right
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answers
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
the length of a rectangle is 4 units more than it's width.The area of a rectangle is 25 more than 4 times the width.What is the width of the rectangle
Answers
Answer:
solution,
let width of the rectangle be x then,
length(l)=4x
Area(A)=25l
now,
area of rectangle = 4x×x
25×(4x)= 4x square 100x= 4xsquarex=25 unitsStep-by-step explanation:
in 2nd step one x cancel another in opposite side of =