Answer:
Step 5: Without changing the length of the compass place it on point E and draw an arc in the interior of the angle.
Step 6: Draw a straight line with the straight edge that goes from the vertex and thru the intersection of both arcs.
Step-by-step explanation:
To bisect and angle is to split it prefectly in half, making for example a 90º angle into two 45º angles, in order to do this you will just need to use your compass and draw an arc that will pass over both sides of the angle, after that you put it in the intersections of the arc and the sides and just draw arcs that fit inside the angle from there where both arcs created from the intersections of the precious arc meet that's the middle of the angle, so now you just draw a straight line from the vertex to the intersection of both arcs and you just have bisected an angle.
PRE CALC QUESTION
For the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are -3,-1, and 4. The leading coefficient is -5.
(type answer in standard form)
P(x)=
Answer:
-5[tex]x^{3}[/tex] + 65x + 60
Step-by-step explanation:Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items he bought and the cost of each in pesos
Answer:
36 pencils
[tex]Cost = 0.2[/tex]
Step-by-step explanation:
Given
Cost Price = 180
Represent the number of items by x
This implies that the cost of each item is [tex]\frac{x}{180}[/tex]
[tex]Selling\ Price = Cost + Profit[/tex]
[tex]Selling\ Price = \frac{x}{180} + 2[/tex]
Since all but 6 items were sold, the total selling price is:
[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]
This amount can be used to buy 30 more items.
So, we have:
[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]
Multiply both sides by 180
[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]
[tex](x - 6)(x + 360) = 180x + 5400[/tex]
Expand brackets
[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]
[tex]x\² + 354x - 2160 = 180x + 5400[/tex]
Equate to 0
[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]
[tex]x\² + 174x - 7560 = 0[/tex]
Expand
[tex]x\² + 210x - 36x - 7560 = 0[/tex]
[tex]x(x + 210) - 36(x + 210) = 0[/tex]
[tex](x - 36)(x + 210) = 0[/tex]
[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]
[tex]x = 36[/tex] or [tex]x = -210[/tex]
Since, number of items can't be negative, we have to discard x = -210.
Hence:
[tex]x = 36[/tex]
We can then conclude that, Mr. Javier purchased 36 pencils
Recall that
[tex]Cost = \frac{x}{180}[/tex]
[tex]Cost = \frac{36}{180}[/tex]
[tex]Cost = 0.2[/tex]
The GCF of 14 and a number is 7. Which of the following could be the number?
A 49
B 42
C 56
Answer:
A 49
Step-by-step explanation:
Any odd number that has 7 as a factor will be a candidate. Of the choices listed, the only possibility is ...
49
__
If the number is even and has 7 as a factor, then it will be a multiple of 14. That is, the GCF will not be 7, but will be 14. Hence, the number must be an odd multiple of 7.
Thompson down the street from his home to Cameron's house. Along the way, he stopped at a bake to pick up cupcakes. if he began at (10,-9), ended at (12,-7),and stopped at the bakery at (11,-8), what are the ratios to represent his trip? Select all that apply.
1/1
2/1
1/4
1/2
*HELP*. I need help on this stuff on I-ready... *HELP*
Answer:
First one
Step-by-step explanation:
50 + 30 can be broken up into (10x5)+(10x3). You can simplify that into 10(5+3) because 10 x 5 =50 and 10x 3 = 30. :)
Answer:
10(5+3)
Step-by-step explanation:
If If you multiply 5 and 3 by 10 you'll get 50 + 30
how many number of subsets in set D
Answer: A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets. Listing the sets is fine if you have only a few elements.
10. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls which end with the same digit
Answer:
21 drawings
Step-by-step explanation:
The number labelings are 0 - 49
The minimum set that could be the same number is the labeling 0, 10 , 20
It could also be 1, 11, 21 or even 2,12,22
In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20
That makes a total of 21 drawings
Following are the response to the given question:
Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]
We possess five balls which conclude with the number 0 [tex]\text{(ball \ 0, ball\ 10, ball\ 20, ball\ 30, and\ ball\ 40)}.[/tex] We possess five balls which conclude with the digit 1[tex]\bold{(ball\ 1, ball\ 11, ball\ 21, ball\ 31, ball\ 41)}.[/tex] .....I have five balls that end in the number 9 [tex]\text{(ball\ 9, ball\ 19, ball\ 29, ball\ 39, and ball\ 49)}.[/tex]Each digit ending is represented by five balls.
In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.
Box 0: we place balls that end in the digit 0. Box 1: we place balls that end in the digit 1. .....Box 9 is where we put balls that end in the number 9.According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).
[tex]k + 1 = 3 \\\\k =2[/tex]
Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.
Learn more:
brainly.com/question/10898731
by which smallest number can 275 be multiplied to get perfect square
students in a science class recorded lengths of a streched spring, as shown in the table. determine if each statement is true or false.
(Look at picture above)
A. The relationship represents a constant rate of change. True or false?
B. The slope of the relationship is 6 grams per centimeter. True or false?
C. The equation that represents the relationship is y = x + 10. true or false?
Answer:
Step-by-step explanation:
A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.
Answer:
0.14*14= 1.96
Step-by-step explanation:
Must multiply 0.14 times 14 for the answer.
Helppp me plssss! ASAP
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
What equation is equivalent to 3x+6=4x+7
Answer:
x=-1
Step-by-step explanation:
The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).
3x+6=4x+7
-3x -3x
6=x+7
All we need to do now is subtract 7 on both sides.
6=x+7
-7 -7
-1=x or x=-1 (they both mean the same thing!)
Hope this helps!! Have a wonderful day c:
if m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]m_2 = 6x + 8[/tex]
[tex]m_6 = 8x - 6[/tex]
Required
Determine x when both lines are parallel
For parallel lines, slopes must be equal.
i.e.
[tex]m_1 = m_2[/tex]
In this case,
[tex]m_6 = m_2[/tex]
Substitute values for m6 and m2
[tex]8x - 6 = 6x + 8[/tex]
Collect Like Terms
[tex]8x - 6x = 8 + 6[/tex]
[tex]2x = 14[/tex]
Solve for x
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
Answer:7
Step-by-step explanation:
Subtract using the number line.
−2−(+7)
Select the location on the number line to plot the point.
Answer:
-9Step-by-step explanation:
see attached
-2 -7 = -9
estimate the quotient of 9 1/3 ÷ 2 3/4
The estimated quotient is 3. This is because 9 1/3 rounds to nine and 2 3/4 rounds to 3.
Answer:
The quotient gives: 3 13/33
Step-by-step explanation:
We start by converting the mixed numbers into improper fractions, since we can easily divide fractions.
the number 9 1/3 can be written as: 27/3 + 1/3 = 28/3
the number 2 3/4 can be written as: 8/4 + 3/4 = 11/4
Now we can divide them using the properties of dividing fractions:
28/3 divided by 11/4 = 28/3 * 4/11 = 112/33
which in mixed number form is : 99/33 + 13/33 = 3 13/33
1
2
3
Use the order of operations to fin
3 x 15 + 3 x 20 - 35 = n
I need help with this
Answer: B. 8 x 10^3
Step-by-step explanation:
b. 8 x 10³
hope this helps
The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?
Step-by-step explanation:
12
Answer:
11
Step-by-step explanation:
11+12+13 =36
So Kate would be 11. Bradley would be 12. And Cameron would be 13
Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation
Answer:
dilation
Step-by-step explanation:
dilation will make the shape larger or smaller which will change the shape.
12x + 7 < -11
OR
5.2 – 8 > 40
Answer:
x < - 3/2 or x > 48/5 (option a in your list of answers)
Step-by-step explanation:
We solve for x in each inequality:
12 x + 7 < -11
subtract 7 from both sides:
12 x < - 11 - 7
12 x < -18
divide both sides by 12 to isolate "x" on the left:
x < - 18 / 12
simplify a common factor 6 in numerator and denominator on the right:
x < - 3 / 2
Now the other inequality:
5 x - 8 > 40
add 8 to both sides:
5 x > 40 + 8
5 x > 48
divide both sides by 5:
x > 48 / 5
So the answer is:
x < - 3/2 or x > 48/5
which coincides with answer a) in your list.
please help me with this i will mark you brainliest
Answer:
(-3,7)
Step-by-step explanation:
Hope it helps
Find A and C,Laws of sines and cosines
Answer:
[tex]AC=15.9976[/tex]
Step-by-step explanation:
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step 1: Define
a = 8 ft
A = 30°
b = ?
B = 89°
Step 2: Substitute and Evaluate
[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]
[tex]bsin(30)=8sin(89)[/tex]
[tex]b=\frac{8sin(89)}{sin(30)}[/tex]
[tex]b=16cos(1)[/tex]
[tex]b=15.9976[/tex]
[tex]AC=15.9976[/tex]
which integer represents 19°F bellow
Draw out a vertical number line. Positive values are above 0, and negative values are below zero.
Whích table corresponds to the equation y = - 3x - 2
Answer:
Step-by-step explanation:
ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
For more references on Subtraction, click;
https://brainly.com/question/2346316
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The correct Standard Form of the equation y=−1/3x+23/9
Answer:
3x + 9y = 23
Step-by-step explanation:
The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?
Answer && Step-by-step explanation:
We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right
it will always be negative due to the negative sign being outside the abs val,
and the abs val, making the inside positive.
thus the resulting graph will be inverted from what was previously said
it will now come from the bottom right to the top left (still a diagonal line)
The ___ is the part of the neuron that carries information away from the cell body.
Answer:
axons
Step-by-step explanation:
The axons is the part of the neuron that carries information away from the cell body.
Answer: axon
Step-by-step explanation:
I just know cause I'm a different breed
Raj and his friends went to the movies today and ate 875 Which steps can be used to find how much popcorn pieces of popcorn, or 125% more than they ate when Raj and his friends ate at the movies last week? they went to the movies last week. Check all that apply. Popcorn 125 + 750 = 875 eaten today 0 125 875 O 125 x 7 = 875 100 x 7 = 700 pieces of popcorn 100 + 750 = 850 pieces of popcorn 0 100 ? 125 + 875 = 1000 pieces of popcorn Popcorn eaten last week
Answer:
125 x 7 = 875 pieces of popcorn
100 x 7 = 700 pieces
Step-by-step explanation:
Answer:
Step-by-step explanation:
B and C
HELP!!!! (zoom in to see it better)
Answer:
C and D
Step-by-step explanation:
The lines are parallel to eachother dont worry about what the lines is in the middle
for the second question, it is the same thing, the lines are both going straight
which means that they are parallel
Answer:
C and D
Step-by-step explanation: