Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the described transformations. answers: A) (3, –2) B) (3, 2) C) (–3, –2) D) (–3, 2)
Answer:
D. (-3, 2)
Step-by-step explanation:
The original point is (3, -2)
The rule for reflecting across the x-axis is (x, y) -> (x, -y)
(3, -2) -> (3, 2)
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
(3, 2) -> (-3, 2)
We want to find the image of the point (3, -2) after two reflections.
The correct option is D: (-3, 2)
Now let's see how to solve this.
The first thing we need to do is describe the two reflections.
For a general point (x, y), a reflection across the x-axis will give the point (x, -y).
And a reflection across the y-axis will give the point (-x, y).
So, if we start with the point (3, -2).
Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)
Now we have a reflection across the y-axis, it gives the point (-3, 2)
So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.
If you want to learn more, you can read:
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Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?
Answer:
8.5 weeks
Step-by-step explanation:
to solve, you can start by subtracting 61 from 129 because he has already picked 61.
129 - 61 = 68
then, just divide 68 by 8 to find how many weeks it will take him.
68/8 = 8.5
it will take Harry 8 and a half weeks to harvest at least 129 squashes.
Harry needs 9 weeks to harvest at least 129 squashes.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.
Therefore, The inequality that represents the given situation is,
8w + 61 > 129.
8w > 68.
w > 68/8.
w > 8.5.
So, It will take him at least 9 weeks.
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What does this mean and can someone give me an example for number 1 ?
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
Answer:
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
27
Step-by-step explanation:
9(12)/4
9(3)
27
Answer:
Please mark me brainliest and I hope this helped!
D. 27
Step-by-step explanation:
First, we look at the exponents and for 3, 3 to the power of 2 is 3 times 3. The answer to that is 9. Next, we look at 2 to the power of 3. That is 2 times 2 times 2. That equals 8. 8 + 4 = 12. 12 * 9 = 108. The numerator is 108 so now we go to the bottom and 2 to the power of 2 is 2 times 2. So the denominator is 4. 108 divided by 4 is 27 and that's your answer!
Find x.
A)7
B)7"2
C)"(14)
Answer:
x = 7
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
tan theta = opposite/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7
Divide each side by tan 45
x = 7/ tan 45
x = 7
Answer:
7
Step-by-step explanation:
It is a 45 45 90 triangle
meaning that the side lenghts will be x, x, x root 2
the hypotenuse will be x root 2, so that means that the side length will be 7
I’m really confused the question is on shapes
Answer:The polygon has 18 sides.
Step-by-step explanation;since it is a straight line, we get 8x since they said that each interior angle is 8 times the exterior angleso it is 8x =x which is the exterior angle +180 degrees since it is a sraight line.
n:
Answer:
A) Each Interior Angle = 180 degrees - (360 / number sides)
B) Each Exterior Angle = 360 / number of sides
A) = 8 * B)
8 * 360 / # sides = 180 - (360 / #sides)
We'll call # sides as "n".
2,880 / n = [ 180 - (360 / n)]
2,880 = n * [ 180 -(360 / n)]
3,240 = 180n
180n = 3,240
n = 18 sides.
The polygon has 18 sides which is an octadecagon.
Step-by-step explanation:
Graph the inequality.
3x + 4y <4
In the box below, describe the graph.
Answer:
y < 1 - (3x)/4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y < 1 − 3 x /4
the graph is partially shaded. the shade crosses through (0,1) and (1,0). I hope you can figure that out :)
A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is the length of the rectangular prism?
it is 300 and 300
and 300
Answer:
its 4
Step-by-step explanation:
please help i’m having a lot of trouble
Answer:
14°
Step-by-step explanation:
Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.
What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answer:
I think that the answer is C D E
Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?
Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.
What will be the vertices of the reflected triangle?
L'(–2, –1), M'(–3, –5), and N'(–6,–4)
L'(–2, 1), M'(–3, 5), and N'(–6,4)
L'(–1, 2), M'(–5, 3), and N'(–4,6)
L'(2, 1), M'(3, 5), and N'(6,4)
Answer:
fourth option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y), thus
L(2, - 1 ) → L'(2, 1 )
M(3, - 5 ) → M'(3, 5 )
N(6, - 4 ) → N'(6, 4 )
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+
Answer:
- 8x² - 40x - 50
Step-by-step explanation:
Begin by evaluating the inside, that is g(f(x))
Substitute x = f(x) into g(x), that is
g(f(x))
= g(2x + 5)
= (2x + 5)² ← expand using FOIL
= 4x² + 20x + 25
Now substitute x = 4x² + 20x + 25 into h(x)
h(4x² + 20x + 25)
= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2
= - 8x² - 40x - 50
Thus
h(g(f(x))) = - 8x² - 40x - 50
PLEASE HELP ME I GIVE BRANLYIEST
A school surveyed students, asking whether they are right-handed or left-handed. This table provides data from the survey.
Right-Handed Left-Handed
Boys 108 23
Girls 99 16
Fill the tables with the relative frequencies. If necessary, round your answers to the nearest hundredth.
Answer:
[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]
[tex].18+.82=1[/tex]
[tex].14+.86=1[/tex]
[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]
[tex].41+.59=1[/tex]
[tex].48+.52=1[/tex]
[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]
Step by Step:
Step which two decimals added together equal 1?
0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18
[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]
Now solve for the rows in the first table
[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]
so there is the first row for boys in the first table
Now solve for the second rows in the first table
[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]
so there is the second row for girls in the first table
Now we do pretty much the same for table 2 just it's columns instead of rows
[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]
So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.
[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]
So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.
Hope this makes sense and helps!!!
Answer:
first box= boys= .82, .18 girls= .86, 14
second box= boys= .52 .59 girls= .48 .41
Step-by-step explanation:
i did the test
A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2.450 bacteria, what is the
population density of bacteria in the dish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
6-5 solving rational equations 8/x+3=1/x+1
Answer:
x = -5/7
Step-by-step explanation:
8/(x+3)=1/(x+1)
Using cross products
8*(x+1) = 1*(x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x+3-x
7x +8 =3
Subtract 8 from each side
7x+8-8 = 3-8
7x = -5
Divide by 7
7x/7 = -5/7
x = -5/7
simplify the expression 125^1/3
Step-by-step explanation:
We have:
(125)^1/3
= (5^3)^1/3
= 5^(3*⅓)
= 5 Ans.
What is the surface area of this shape? thank you :)
Answer:
105
Step-by-step explanation:
5x3=15
2x3=6
2x6=14+(4x1)=18
2x6=14+(4x1)=18
1x3=3
2x3=6
4x3=12
6x3=18
add all of them...
=105
if its right can u pls mark as brainliest?
The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².
What is rectangular prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2(lw + lh + wh)
Where l is length, w is width and h is height.
Given the data in the image;
For the first rectangular prism
Height h = 4cmLength l = 1cmWidth w = 3cmFor the second rectangular prism
Height h = 2cmLength l = 5cmWidth w = 3cmNow, surface area of the first rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)
S.A = 2( 3cm² + 4cm^2 + 12cm² )
S.A = 2 × 19cm²
S.A = 38cm²
Next, the surface area of the second rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)
S.A = 2( 15cm² + 10cm^2 + 6cm² )
S.A = 2 × 31cm²
S.A = 62cm²
Total surface area TSA = 38cm² + 62cm²
T.S.A = 100cm²
Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²
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The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and the object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?
400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms
Answer:
the weight for an object with a velocity of 12 meters per second is 600 kilograms
Step-by-step explanation:
The linear momentum of an article is : p = mv
Where p = Momentum
m = mass
v = velocity
The velocity is 16 meters per second and the object weighs 450 kilograms
So, [tex]p = 450 \times 16[/tex]
We are supposed to find the weight for an object with a velocity of 12 meters per second
So, p = 12m
We are given that the linear momentum is a constant when the mass varies inversely of the velocity.
So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]
Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms
Find the magnitude of the vector from the origin to (-7,5) and write the vector as the sum of unit vectors.
Answer: The answer is C
[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]
The vector (-7,-5) as a sum of unit vectors is -7i-5j
Answer:
C on E2020
Have a Great Day ;)
Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2
Answer:
[tex]-12x^4-11x^2-2[/tex]
Explanation:
Step 1 - Expand
[tex](-3x^2-2)(4x^2+1)[/tex]
[tex]-12x^4-3x^2-8x^2-2[/tex]
Step 2 - Combine like terms
[tex]-12x^4-3x^2-8x^2-2[/tex]
[tex]-12x^4-11x^2-2[/tex]
Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].
Answer:
On Edge, the answer is D. 31x2 – 2.
Please somebody help me with this ASAP!!!
Answer:
Please mark me brainliest and I hope this helps!
Answer: 52
Step-by-step explanation:
The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10
That is equal to 26 + 9 + 7 + 10.
Which is equal to 35 + 17.
And our final answer is 52.
1. Using the figure below, what is the measure of angle ABE?
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
(30 POINTS WILL GIVE BRAINLEST ONLY RIGHT ANSWERS) Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
ok for real now doesn't make sense to me at all help-
Simplify.
Rewrite the expression in the form y^n
Y^9•y^2
Answer:
Step-by-step explanation:
When you multiply two terms with same base, add the exponents.
Example: x*x² = x* x*x = x³
In short, x*x² = x¹⁺² = x³
[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]
A point is one-dimensional
O A. True
O B. False
SUBMIT
Answer:
This is true.
Step-by-step explanation:
A point can only be on one dimension.
Answer:
FALSE
Step-by-step explanation:
i just took it
Is my answer to this problem right?
Answer:
Yes
Step-by-step explanation:
1/3 = 3 in 1
3(1) = 3
3 x 12 = 36
So 36 is correct
Answer:
I’m pretty sure you are correct.
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answer:
0.5m+2.50=c
Step-by-step explanation:
Just trust me brah