Answer:
x = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Here you have to use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
a and b are the legs of the triangle, and c is the hypotenuse
a = 7
b = x
c = 9
STEP 2: Plug the variable into the equation
7^2 + x^2 = 9^2
STEP 3: Solve
7^2 + x^2 = 9^2
49 + x^2 = 81
49 - 49 + x^2 = 81 - 49
[tex]\sqrt{x}[/tex]^2 = [tex]\sqrt{32}[/tex]
x = [tex]\sqrt{32}[/tex]
STEP 4: Simplify
Since the questions asks you to put it in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
x = [tex]\sqrt{32}[/tex]
x = [tex]\sqrt{16}[/tex] * [tex]\sqrt{2}[/tex]
x = 4[tex]\sqrt{2}[/tex]
Hope this helps
HELP ME SOLVE THIS PLEASE
x²+x=0
x³-25x=0
x²=4x
4x²-4x=1
Answer:
x²+ x = 0
x ( x +1 ) = 0
x = -1
x³-25x=0
x ( x² - 25 ) = 0
x² = 25
x = 5
x²=4x
x² - 4x = 0
x ( x- 4 ) = 0
x = 4
4x²-4x=1
4x²-4x - 1 = 0
4 x² - 2x - 2x - 1 = 0
2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0
2x- 1 ) ² = 0
2x = 1
x = 1/ 2
mark me as brainliest
Which expression is equivalent to −24x+72?
−24(x−72)negative 24 times open paren x minus 72 close paren
−24(x−3)negative 24 times open paren x minus 3 close paren
24(x+3)24 times open paren x plus 3 close paren
24(x+72)
Answer:-24(x-3) = -24x (-24)(-3)
Step-by-step explanation:
Answer:
eat my hand where the pic
Step-by-step explanation:
yeah
juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
0.8 units
1.3 units
8.2 units
9.8 units
Answer:
8.2 units
Step-by-step explanation:
For radioactive decay, the amount should decrease over time. Given the function:
f(x) = 10(0.98[tex])^{x}[/tex]
We substitute the time of x = 10 hours:
f(10) = 10(0.98[tex])^{10}[/tex]
f(10) = 8.17
Round 8.17 to 8.2.
Therefore 8.2 units will remain after 10 hours.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
J'(3 , 5)
Step-by-step explanation:
Rule for reflection over x-axis,
Original point(x , y) After reflection (x, -y)
After reflection, there will be no change in the x-coordinate and y - coordinate will the change the sign
So, J(3,-5) After reflection J'(3,5)
Rewrite in simplest radical form the problem in the image below. Show and explain each step. Thank you for your time and help.
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{x^{\frac{5}{6}} }{x^{\frac{1}{6}} } \\\\=x^{\frac{5}{6} -\frac{1}{6} }\\\\=x^{\frac{4}{6} }\\\\=x^{\frac{2}{3} }\\\\=\sqrt[3]{x^2}[/tex]
Hi there!
Look the picture for your answer.
Hope it helps!
what is the perimeter
A) 20.3
B)18.3
C)24.3
D)22.3
Answer:
b
Step-by-step explanation:
cuz u add them all
math help please help please my parents are going to hit me
Answer:
2.1
Step-by-step explanation:
Angle Q of the triangle, SRQ is 47. Let find Length of RQ of SRQ.
If we apply tangent ratio, we get
[tex]x = 5.9[/tex]
Now let find the measure of RP of Triangle SRP.
If we apply tangent ratio, we get
[tex]x = 3.8[/tex]
We can find PQ by Subtraction Poustulate.
[tex]5.9 - 3.8 = 2.1[/tex]
so
Pq=21
Answer:
PQ ≈ 2 cm
Step-by-step explanation:
We know that SRQ is 47.
Next we apply the tangent ratio. We get x = 5.9
Now we find the measure of RP of the triangle SRP.
If we apply tangent ratio, we get x = 3.8
We can find PQ with this:
5.9 - 3.8 = 2.1 ≈ 2 cm
Can someone explain this / answer it? 18 POINTS + Brainliest
Answer:
I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.
Step-by-step explanation:
He has 18 m of wood and he has done:
8+8=16 1+1=2 16+2=18
7+7=14 2+2=4 14+4=18
6+6=12 3+3=6 12+6=18
5+5=10 4+4=8 10+8=18
So he has no more ways to use the 18 m of wood and has exhauseted all the ways.
Please mark brainliest
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Step-by-step explanation:
hope this helps to u......
Twice the difference between a number and 4 is twenty. Find the number.
А. 8
B. 9
C. 12
D. 14
Please help!!!
Answer:
D 14
Step-by-step explanation:
Let x be the number
2(x-4) = 20
Divide each side by 2
2/2(x-4) = 20/2
x-4 = 10
Add 4 to each side
x-4+4 = 10+4
x = 14
Answer:
The number is 14
Step-by-step explanation:
Let's call this unknown number of x:
2×(x – 4) = 20
2x – 8 = 20
2x = 20 + 8
2x = 28
x = 28/2
x = 14
*WILL MARK BRAINLIEST* The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
Answer: 5sqrt2, 10sqrt2/2
Step-by-step explanation:
The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.
Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2
However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2
find the 80th term following arithmetic sequence 8,14,20,26
Answer:
The 80th term is 482
Step-by-step explanation:
8,14,20,26
This is an arithmetic sequence
Find the common difference by taking the second term and subtracting the first term
14-8 = 6
We are adding 6 each time
The formula for an arithmetic sequence is
an =a1+d(n-1) where a1 is the first term, d is the common difference and n is the term we are looking for
a80 = 8+6(80-1)
= 8 + 6*79
= 8+474
= 482
The 80th term is 482
Answer: 482
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{Rule:} \\\\\boxed{ \huge \boxed{a_n=a_1+(n-1)d }} } \ \ \\\\\\ 8 \underbrace{}_6 14 \underbrace{}_620\underbrace{}_626 ......a_{80}=? \\\\\\a_1=8 \ \ ; \ \ d=6 \\\\\\ a_{80}=8+(80-1)\cdot 6=480+8-6=482 \\\\\\\\ Answer: \boxed{\boldsymbol{ a_{80}=482}}[/tex]
HELP NOW - Please help me
100 POINTS
Answer:
SAS
43ft
Step-by-step explanation:
We know that two sides are equal
PQ = ST and QR = TU and the angle between them is equal Q = T
We can use the SAS (side angle side)
Since the triangles are congruent
PR = SU
6y+5 = 8y
Subtract 6y from each side
6y+5-6y = 8y-6y
5 = 2y
Divide by 2
5/2 = y
2.5 = y
PR = ST = 8y = 8(2.5) =20
The perimeter is 9+14+20 = 43
Answer:
B. =35ft
Step-by-step explanation:
The perimeter of a right angled triangle is a+b+c
which is 9+4+6y+5 =90
collect like terms
9+4+5+6y=90
18 + 6y = 90
6y = 90 - 18
6y= 72
divide both sides by 6
6y/6 = 72/6
y = 12
so therefore, the perimeter of ∆PQR is
9 + 12 + 14
= 35ft
What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these
The required area of the figure is 5 square yards.
What is area of rectangle?Area of rectangle is defined as product of the length and width.
Suppose a rectangle and a square has been removed from rectangle.
Length of rectangle = 3 yards
Width of rectangle 2 yards
Length of square = 1 yards
Area of rectangle = 3 × 2 = 6 square yards
Area of square = 1 × 1 = 1 square yards
The required area of the figure = area of rectangle - area of square
Substitute the values
The required area of the figure = 6 - 1
The required area of the figure = 5 square yards
Hence, the required area of the figure is 5 square yards.
Learn more about Area of rectangle here:
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17. DEFG is a square. Find the value
of x.
Answer:
x = 3
Step-by-step explanation:
All the angles of a square are 90°
The diagonals bisect the angles , then
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
Evaluate the expression when a=-7 and x=6 .
X-2a
Answer:
=X-2a
= 6- 2× (-7)
= 6 + 14
= 20
✌✌✌✌
Determine the measure of the interior angle at vertex E.
Answer:
135
Step-by-step explanation:
(n−2) × 180° = sum of the interior angles where n is the number of sides
There are 6 sides
(6 -2) * 180
4*180
The sum is 720
2x+2x+3x+3x+3x+3x = 720
16x = 720
Divide by 16
16x/16 = 720/16
x = 45
Angle E = 3x= 3(45) = 135
5(x+6=50
x=
Ty you for helping
Answer:
[tex] \frac{5(x + 6)}{5} = \frac{50}{5} \\ x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]
Answer:
x=4
Step-by-step explanation:
5(x+6)=50
First expand the brackets:
5 times x equals 5x
5 times 6 equals 30
Form an equation:
5x+30=50
Do inverse operations to "undo" the equation:
50-30=20
5x=20
20÷5=4 (We divide 20 by 5 because when a number is next to a letter, it means times so we do the inverse and divide).
x=4
We can check our answer by substituting in 4:
5(4+6)
Do brackets first:
4+6=10
5(10)
Then as the 5 is next to the bracket on the outside we times everything on the inside by 5:
5 times 10 equals 50
Hope this helps :)
What is the scale factor of this dilation?
A 1/5
B 1/2
C 1
D 2
math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest
Answer:
11%
Step-by-step explanation:
Compound Interest Formula: initial ( 1 + interest rate )^time = final amount
Let compound interest be x
4000(1+x)^3 = 5500
Divide both sides by 4000
4000(1+x)^3 / 4000 = 5500/4000
Cube root both sides
[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]
1 + x = 2.22398 / 2
1 + x = 1.11199
Minus both sides by 1
1 + x = 1.11199
-1 -1
x = .11199 = 11%
PLEASE HELP IM ON A TIMER: I WILL GIVE 5 STARS AND BRAINLIEST!!
f) Create a residual plot for your data.
13.8 1.42
18 3.7
16.7 3.21
18 4
0.7 1.11
21.9 3.69
18 3.8
18 4
19.7 3.5
16.7 3.21
g) Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
a) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a week. Justify your answer.
Answer:
y = 0.1491x + 0.7556
R² = 0.6943
r^2 at .69 ≅ .7 is somewhat strong
y = 0.1491(15) + 0.7556
GPA= 2.2365
Step-by-step explanation:
Solve for 2. Round to the nearest tenth, if necessary.
135°
X
78
BO
Submit
answer
Answer: 2 =
Submit Answer
PLS HELP I really need to get this done
Answer:
x = 63.9
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
cos theta = adj/ hypotenuse
cos 35 = x/78
78 cos 35 =x
x=63.89385
Rounding to the nearest tenth
x = 63.9
Help anyone can help me do this question,I will mark brainlest.
Answer:
11. 40.5
12. 84
Step-by-step explanation:
A fencing company charges $22per foot to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long? pls help me
Suppose a shoe company estimates that its monthly cost is
C(x) = 300c2 + 200c and its monthly revenue is
R(x) = -0.5x3 + 900x2 – 500x + 400, where x is in thousands of pairs
of shoes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
O
A. P(x) = -0.5x3 + 600x2 – 700x + 400
B. P(2) = -0.5x3 + 1200x2 – 300x + 400
O C. P(x) = 0.523 + 60022 – 700.0 + 400
O D. P(x) = 0.523 – 600x2 + 700x – 400
PREVIOUS
I
Answer:
Hello,
Answer B
Step-by-step explanation:
[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
Consecutive years that saw the largest increase in median mode is C. 1998-1999.
What is median ?Median is the the middle term when data are arranged in ascending or descending order when we have odd number of terms and median is sum of the mean of the middle term and the next term when we have even number of terms.
According to the figure and statement given a bar graph hows the median income for families in the United States from 1993 through 2000.
We have to determine which two years saw the largest increase in median income.
If we observe the graph carefully and go through options we can conclude that 1998-1999 has the largest increase in median income which is of 1500 dollars.
learn more about median here :
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i’m using this app so much but i really do appreciate the help pleasee no wrong answers
Answer:
C is correct
Step-by-step explanation:
a is wrong because: 1*-1*-1*-1 =1
b) 1*1*1*1 =1
d) 1*-1*1*1 =1
only c 1*-1*-1*1 =-1 at the end of polynomial
Question 15 of 41
What is the ratio for the volumes of two similar spheres, given that the ratio of their radii is 3:5?
A. 9:25
B. 27:125
C. 125:27
D. 25:9
SUBMIT
Answer:
B
Step-by-step explanation:
the radii have to be cubed cause a volume is cubed
3^3:5^3
27:125
I hope this helps and sorry if it's wrong
Please help!!! question b do as directed
Answer:
question b do as directed
Step-by-step explanation:
can you say again