Answer:
Answer is below
Step-by-step explanation:
The sum of the measures of exterior angles on any shape is always 360 degrees.
If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.
(n-2)(180) Substitute
(65-2)(180) Subtract
(63)(180) Multiply
11340
Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.
A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.
Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.
The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]
So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
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what is the discriminant of f(x)=-x^2-x+5?
a.-21
b.0
c.2
d.21
Answer: d. 21
Step-by-step explanation:
The formula to find a discriminant is b^2-4ac.
ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!
(-1)^2-4(-1)(5)=
1-4(-5)
1+20
21
The discriminant is 21.
Hope this helps!
Will give brainliest answer
Answer:
[tex]72.16 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
≈ 0.7% error
Step-by-step explanation:
To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.
Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.
The percent error is approximately 0.7%
(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?
answer can be.. YES or NO
Answer:
yes
Step-by-step explanation:
yes
Does anyone know how to solve these two math problems??!
Answer:
1. x = -1
2. y = -3
Step-by-step explanation:
1. 5(5x+2) = 4(x+3)
5-5x+2 = 4x+12
5-5x+2 = 4x+12
-5x+3 = 4x+12
-3 -3
-5x = 4x+9
-4x -4x
-9x = 9
x = -1
2. -3³-2(2y-2) = 5y+4
-27-4y+4 = 5y+4
-4y-23 = 5y+4
-4 -4
-4y-27 = 5y
+4y +4y
-27 = 9y
y = -3
Answer:
1. 4.17
2. -2.2
Step-by-step explanation:
Steps For Number 1
1. solve put 5x and 1 together, then put two and three together.
5 - 6x +5 = 4
2. 6x + 5 =
x= 0.83
5 - 0.83 = 4.17
Steps For Number 2
1. -3^3 = -9
2. -9 - 2(2y-2) = 5y +4
3. solve for y in 2y -2
y = 0
4. -9 - 2 = -7
5. -7 = 5y +4
5y +4 =-7 solve
-4 = -4
5y = -11 divide 5 by both
Can someone help me with these 2 questions?
Answer:
3: x = 3 4: y = 8
Step-by-step explanation:
Problem 3:
Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.
Problem 4:
Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).
Hope this helped!
Can you Please help me
Answer:
45/12
Step-by-step explanation:
first open the brackets +(-5½)= -5½
-7⅔-5½+8¾ put liketerms together
8¾-5½-7⅔
(find the LCM of the denominator 4,2,3 that is 12)
change the improper fraction to proper fraction 35/4-11/2-23/3.
(multiply by the 12 to make the denominator same)
(35/4x12)-(11/2x12)-(23/3x12)
105-66-92 = -53/12
12
=-45/12
On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
What are fractions?
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number on the bottom of the line is called the denominator.
Given is the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
We have the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
On solving, we get -
- 23/3 - 11/2 + 35/4
35/4 - 23/3 - 11/2
(105 - 92 - 66)/12
(105 - 158)/12
-53/12
-4[tex]\frac{5}{12}[/tex]
Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
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Which of the following is a TRUE statement about the triangle below?
Answer:
it is an acute triangle
Step-by-step explanation:
angle M is 180 - 44 - 77 = 59
since all angles are less than 90 degree, thus is an acute triangle
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
Use the Zero Product Property to solve each equation.
2x2 - 5x + 2 = 0
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
PLEASE HELP ASAP!!
Kaylee solves the equation below by first squaring both sides of the equation.
[tex]1-y=\sqrt{2y^{2} -7}[/tex]
What extraneous solution does Kaylee obtain?
y=???
Answer:
2
Step-by-step explanation:
Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.
The extraneous solution obtained by Kaylee is y = 4.
To solve the equation, let's follow Kaylee's approach and square both sides:
[tex](1 - y)^2 = (2y^2 - 7)[/tex]
Expanding the left side:
[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]
Rearranging the equation and combining like terms:
[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]
Now, to solve this quadratic equation, we can factor it:
-(y - 4)(y + 2) = 0
Setting each factor equal to zero:
y - 4 = 0 or y + 2 = 0
Solving for y in each equation:
y = 4 or y = -2
However, we need to check if these solutions are extraneous by substituting them back into the original equation:
For y = 4:
[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]
-3 ≠ 5
For y = -2:
[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]
From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.
Therefore, the extraneous solution obtained by Kaylee is y = 4.
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What is the product?
(6 r minus 1)(negative 8 r minus 3)
negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3
Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
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F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
Please help with my math
Answer: 9x-20
Step-by-step explanation:
The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:
[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]
A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
What is x ?
f(x)=−3
x = ?
There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31 or ≈ 52%
Step-by-step explanation:
1. Find the total students in the class.
15 + 16 = 31
2. Make a fraction (girl/total students)
16/31
Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.
30 POINTS FOR THIS ONE
1.
In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.
2.
In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.
3.
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
4.
In the equation 5x + 9 = 3x, 3x is a like term with _______________________.
Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0
Answer:
8/X= 1
Step-by-step explanation:
"8/X= 1" requires the multiplication property of equality for 'x' to get solved.
[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]
Answer:
Step-by-step explanation:
I would probably say C which is 8/X= 1.
The first one uses the division property of equality.
The second uses the subtraction property of equality.
The third uses multiplication property of equality, which basically means mulitplying both sides of an equation by the same quantity.
The last one does not follow any property that I am aware of or am acquainted with.
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
A = 2 (on the left). 10 (on the right)
Step-by-step explanation:
Use pythgaros therom
Do 7^2 - 3^2 = 40
Do square root of 40 which equals the answer
please help and explain i will mark brainliesttt!
Answer:
y=(8/5)x-(24/5)
Step-by-step explanation:
lets find the slope
m=(y2-y1)/(x2-x1)
m=(8-0)/(8-3)
m=8/5
y=(8/5)x+b
lets find b, the y-int by plugging in a point
0=(8/5)*3+b
0=24/5+b
b=-24/5
y=(8/5)x-(24/5)
