Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. What does his total sales have to be this month to reach his goal?
Answer:
X=$5,000
Step-by-step explanation:
You can write an equation in slope-intercept to find an answer.
y=0.2x+1000, 20% commission is the slope and the base pay is the y-intercept.
Now, just plug in 2,000 for y.
2,000=0.2x+1,000, subtract 1,000.
1000=0.2x, Multiply by 5 to get x by itself.
x = 5,000
Hope this helped youuuuu
Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.
Answer:
Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
4 - (-3) simplify the expression
Answer:
7
Step-by-step explanation:
4-(-3)=4+3 (negative times negative is positive)
4+3=7
Hope that helps!
WILL MARK BRAINLIEST! A pattern for a sequence is described as 'start with 12 and divide by −4 repeatedly'. Is this a geometric sequence? Explain. I only need like 2 sentences, at most a full paragraph.
Answer:
yes
Step-by-step explanation:
Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
Find the square number 7, 12, 20, 25, 27
What is the slope of a line that is perpendicular to 6x + 3y = -9?
A 2
B. 1
w
C. -2
D.
Ninh
1
Please select the best answer from the choices provided
Answer: 1/2
Step-by-step explanation:
The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2
The Perfect square numbers between 100 and 200 are ____
Pls help.
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8
Answer:
Right isosceles
Step-by-step explanation:
We have a right angle so the triangle is a right triangle
We have two sides that are equal so it is an isosceles triangle
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
What is the standard form of y – 8 = 2(x + 3)?
Question 14 options:
a)
y = 2x + 14
b)
2x + y = 14
c)
y – 2x = 11
d)
2x – y = –14
Answer:
A
Step-by-step explanation:
So first you would distribute the 2
y - 8 = 2x + 6
Then you add 8 to both sides
y = 2x + 14
So your answer is A
We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.
Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
Directions write 1/3 -3 (-3 is the exponet) without the exponet
Answer:
27
Step-by-step explanation:
I guess this would just be basically the same as 1/3 to the power of 3
Answer:
27
Step-by-step explanation:
help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2
63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
Human:
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
I WOULD APPRECIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
another one! what is 7x-8x=23? will mark brainliest!
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
Which statements are symmetric reflexive or transitive
Answer: 1st is reflexive
Step-by-step explanation:
Plzz answer ASAP. Just the graph ignore the question below
Answer:
Domain: -8 <= x <= 2 and 1 < x < 4
Range: -3 and -2 <= y <= 8
in the equation y=4x which is greater? explain answer
Answer:
If x is greater than 0, then y is greater than x
For example:
x = 2 => y = 4(2) = 8, 8 > 2
x = 3 => y = 4(3) = 12, 12 > 3
If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0
If x is less than 0, then y is smaller than x
For example:
x = -2 => y = 4(-2) = -8, -8 < -2
x = -3 => y = 4(-3) = -12, -12 < -3
Hope this helps!
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
If you flip three fair coins what is the probability you’ll get at least two heads?
Answer:
see below
Step-by-step explanation:
The possible outcomes of flipping 3 coins are:
HHH, HHT, HTT, TTT, HTH, THT, TTH, THH.
Out of these 8 there are 4 that will be successful so the probability is 4/8 = 1/2 or 50%.
50%
Answer and Explanation:
If you flip three fair coins, the probability that you'll get at least two heads is 4/8 or 0.50, which is 50%.
plz mark brainliest
Can someone please help me I am almost done with this
Hey!!
{12,13,25} is not a Pythagorean triple
please see the attached picture for full solution
hope it helps
2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True
Answer:
true
Step-by-step explanation:
hard to explain,
hope it helps
It is true that when f(x) = g(x), the system of the equation is solved.
A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).
The equation is the relationship between variables as is an example of a polynomial equation.
Let, f(x) = ax+ by - - - - ( 1 )
g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.
When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).
Thus, It is true that when f(x) = g(x), the system of the equation is solved.
Learn more about the equation here:
brainly.com/question/10413253
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WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
To learn more about isosceles triangle from here
https://brainly.in/question/26765711
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if y=-4+11 and 3x+y=9 what is the value of y
[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]
Find the length of each side of a square field whose area is 6084 m²
_______________________________
Hey!!
Solution,
Area of a square field=6084m^2
Length(l)=?
Now,
Area of square=l^2
or, 6084=l^2
or,L=√6084
L= 78
So the length of each side of a square field is 78 m.
Hope it helps...
Good luck on your assignment
________________________________
Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
Solve the equation using the Quadratic Formula: (Hint: You may select
more than one answer choice here) *
x2 – 5x + 6 = 0
Answer:
x = 3,2
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
please mark brainly
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First we have to distinguish the whole numbers from the numbers with variables.
2x and 5x are numbers with variables, 6 and 0 are whole numbers.
Then we can seperate them on different sides of the equal sign.
To do this, we have to subtract 6 on the left side and add it to the right side.
Now our equation will be 2x - 5x = -6.
Now we can simplify this.
Starting on the left side, 2x - 5x equals to -3x.
The right side can not be simplified.
So, our equation will now be -3x = -6.
Now we can divide both sides together.
The easiest way to do this is by turning the equation into a fraction.
So it will be [tex]\frac{-3}{-6}[/tex].
Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].
Hope this helped :)
