Step-by-step explanation:
here
10^2=8^2+X^2
X^2=100-64
X=√36
X=6
what does the E stand for in PEMDAS?
Answer:
Exponents
Step-by-step explanation:
Parentheses
Exponents and roots
Multiplication
Division
Addition
Subtraction
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Answer:
27/20
Step-by-step explanation:
135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think
(3x - 4x - 2 + 3x - 6 = 180
7x – 8 =
Help please and thanks!
Answer:
9. x = 31°
10. m∠ABC = 62°
11. m∠BCA = 60°
Step-by-step explanation:
We are given the following values for ΔABC, and its exterior angle, ∠ACD:
In ΔABC, the two nonadjacent interior angles are:
m∠A = 58° m∠B = 2x°While the exterior angle, m∠ACD = (5x - 35)°.
In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.
Question 9:In order to find the value of x, we can use the Exterior Angle Theorem:
m∠ACD = m∠A + m∠B
(5x - 35)° = 58° + 2x°
5x° - 35° = 58° + 2x°
Subtract 2x from both sides:
5x° - 2x - 35° = 58° + 2x° - 2x
3x - 35° = 58°
Next, add 35° to both sides:
3x° - 35° + 35° = 58° + 35°
3x° = 93°
Divide both sides by 3 to isolate x:
[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]
x = 31°
Therefore, the value of x = 31°.
Question 10:In order to find m∠ABC, we must first substitute the value of x into m∠B:
m∠B = 2x° = 2(31)° = 62°
Therefore, m∠ABC = 62°.
Question 11:In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.
m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°
Next, substitute the value of m∠ACD into the following equation:
m∠BCA + m∠ACD = 180°
m∠BCA + 120° = 180°
Subtract 120° from both sides:
m∠BCA + 120° - 120° = 180° - 120°
m∠BCA = 60°
Therefore, m∠BCA = 60°.
Verify:In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°. In other words:
m∠A + m∠B + m∠C = 180°.
58° + 62° + 60° = 180°
180° = 180° (True statement).
1 4 × √ 2 = 2 n Find N
Factorise the following expressions.
a² + 8a + 16
Explanation :
________________________________
Factorizes:
⇒ a² + 8a + 16 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ a² + 4a + 4a + 16 = 0.
⇒ a(a + 4) + 4(a + 4) = 0.
⇒ (a + 4)(a + 4) = 0.
⇒ (a + 4)² = 0.
⇒a=-4.
Hence a=-4.
why do we learn about history? we are kids we can make a war
Answer:
Because if you didn't you would not know anything about the past.
Step-by-step explanation:
Yes
what is the slope of
12(x−6)=4(y+3)
Step-by-step explanation:
the slope is always the factor a of x in the form
y = ax + b
so let's transform the original equation into this form :
12(x - 6) = 4(y + 3)
12x - 72 = 4y + 12
12x - 84 = 4y
3x - 21 = y or y = 3x - 21
therefore, the slope is 3.
Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?
Answer:
tank 1 : 19 gallons
tank 2 : 42 gallons
Step-by-step explanation:
tank 1 : x
tank 2 : 2x+4 ( 4 more than twice the other )
x + ( 2x + 4 ) = 61
3x + 4 = 61 [ add x + 2x = 3x ]
3x = 57 [ subtract 4 on both sides ]
x = 19 [divide 3 on both sides ]
tank 1 : 19 gallons
tank 2 : 42 gallons
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]
======================================================
Explanation:
The fraction 1/4 is equivalent to the decimal form 0.25
We multiply 0.25 with each coordinate, of each point.
For example, let's focus on point L which is at (2,-1)
x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.
Note: this trick only works if the center of dilation is the origin.
What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.
Using the interpretation of a confidence interval, it is found that the correct option is:
In order to find a range of values to estimate the population proportion.x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.Hence, the correct option is:
In order to find a range of values to estimate the population proportion.You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483
r less than one-eighth
Answer:
what did you mean
Step-by-step explanation:
is not a question
Find m< FED Im
giving this question 20 points
Answer:
180° - (61° + 61°) = 58°
Step-by-step explanation:
we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED
To convert from Standard Form to Slope-Intercept Form the strategy is to solve for which variable?
b
m
y
x
Answer: y
Step-by-step explanation:
Slope intercept form is written as
Y=mx+b, so you’d solve for the variable y
brainless for the person who gets this right!
which expression its equivalent
What is the area of a square whose perimeter is 12x cm?
Answer:
9
Step-by-step explanation:
12/4=3
3*3= 9
Filler and more filler
The area of the square is 9 [tex]cm^{2}[/tex].
What is area?The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of square?[tex]Area = a^{2}[/tex]
Where, a is the length of the side of a square
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
Formula for the perimeter of squarePerimeter of a square = 4a
Where, a is the side of a square
According to the given question
Perimeter of a square is 12cm.
Let a be the length of the side of a square.
Therefore,
Perimeter of the square = 4a
⇒ 12 = 4a
⇒ a = 12/4
⇒ a = 3cm
So, the area of square = 3cm × 3cm = 9 square cm
Hence, the area of the square is 9 [tex]cm^{2}[/tex].
Learn more about area of square here:
https://brainly.com/question/1658516
#SPJ2
What number is 22.5% of 40?
Answer:
9
Step-by-step explanation:
To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.
22.5% --- 0.225
Then multiply the decimal by the number.
0.225 * 40 = 9
So, 22.5% of 40 is 9
What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3
Write the equation in standard form.
y - 10=-2(x-8)
Answer:
2x + y = 26
Step-by-step explanation:
The standard form of a linear equation is A x + By = C.
Simplify -2(x - 8)
Multiply -2 by -8
y - 10 = -2x + 16
2x + y - 10 = 16
Add 10 to both sides.
Add 16 and 10
Answer= 2x + y = 26
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
Try this on for size
Step-by-step explanation:
lim
x→0
5x2 + 2x/sin(x) ?????
Answer:
114.59155
Step-by-step explanation:
Answer:
Sorry i didn't know that
The table shows a linear relationship between x and y. how can you tell that x and y are NOT porportianal
what is the answer
-1/2n^2+18=0
n= ___
Answer:
n = 6 , − 6
Step-by-step explanation:
Take the root of both sides and solve.
[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]
Am i blind or does this just not make any sense? Pls help!
Answer:
0.4
Step-by-step explanation:
2/5 converted into hundredths is 40/100.
40/100 as a decimal is 0.40, or 0.4
-hope it helps
X=[-1,+∞),Y=R,f(x)=y sao cho y^2-2y=x∀x∈X
Answer:
30
Step-by-step explanation:
sh well cm to cm et FL to
The area
of this figure
is square inches.
20 in
28 in
30 in.
7 in
25 in.
Answer:
946 square Inches
Step-by-step explanation:
First, you should split up the shape into parts.
1st part 28x7
2nd part 30x25
We are multplying simply because
Area = Length x Width
Now that we have split up the parts lets multply them and add them togeher.
28 x 7 = 196
30 x 25 = 750
196 +750 = 946
So the area of this figure is 946 square inches.
What is the value of xif e3x+6 - 8?
O x-
In 8-6
3
OX-
In 6-8
3
OX-
In 8+6
3
OX-
In 6+8
3
The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Given the exponential function [tex]e^{3x+8}=8[/tex]
Take the natural logarithm of both sides:
[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]
Subtract 8 from both sides:
[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]
Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Learn more on exponential functions here: https://brainly.com/question/12940982
Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now
To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.
The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.
eight years ago = x - 8
Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.
Now, putting this all together gives us our first equation:
x - 8 = 6(y - 8)
We can now rewrite this equation in standard form:
x - 8 = 6y - 48 ----->
x - 6y = -48 + 8 ----->
x - 6y = -40 <----- this is our first linear equation
To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:
x + 12 = 2(y + 12)
Now, we need to rewrite this equation in standard form:
x + 12 = 2y + 24 ----->
x - 2y = 24 - 12 ----->
x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:
x - 6y = -40
x - 2y = 12
Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:
x - 6y = -40
-x + 2y = -12
Now we can add both equations together:
x - x - 6y + 2y = -40 + -12 ----->
-4y = -52
Solve for y, by dividing both sides of the equation by -4, giving us:
y = 13
So, now we know the son's age: 13
To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:
x - 6(13) = -40 ----->
x - 78 = -40 ----->
x = 78 - 40 ----->
x = 38
Therefore, Mr. Fontana is 38 years old and his son is 13 years old.
what is 4*6 i need help
Which of the following statements best describes the location of −(−1) on a number line? (5 points)
Question 6 options:
1)
It is 1 unit to the left of 0.
2)
It is 1 unit to the right of 0.
3)
It is 1 unit to the right of 1.
4)
It is 1 unit to the left of 1.
Answer:
It is 1 unit to the right of 0.
Step-by-step explanation: