The scale factor of the drawing is 200.
Scale Factor of a DrawingThe first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.
Given a scale for a drawing to be: 1 mm: 20 cm
1 cm = 10 m
Therefore:
20 cm = 200 mm
Scale factor = 200/1 = 200.
Therefore, the scale factor of the drawing is 200.
Learn more about scale factor on:
https://brainly.com/question/2826496
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
Find the slope of the line that passes through each pair of points. (8, 10) and (-7, 14)
Answer: -4/15
Step-by-step explanation:
The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]
You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10) and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))
You just plug in the y values on the top, the x values on the bottom and solve!
1) Plug in your values (10-(14)/8-(-7))
2) Open up your parentheses (10-14/8+7)
3) Solve -4/15
These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D
Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?
Answer:
5.50x = 6,850
Step-by-step explanation:
Each ticket costs $5.50, and the total is $6,850.
Hope this helps! :)
a local club lottery offers a standard prize of $50 and there is one drawing each week. If there is no winner drawn, the prize triples for the following week. This pattern continues until the prize is won. If no wins in the first 5 weeks, how much will the prize be for week 6?
Answer:
300
Step-by-step explanation:
Every week you add 50 so 50x6 is 300
convert 60mph to feet per minute
The sum of 1 and a number x
9515 1404 393
Answer:
1 + x
Step-by-step explanation:
A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...
1 + x
Hey, can someone help me with this question?
Step-by-step explanation:
A = P(1 + r)^t
£5263.73 = £4000(1 + 0.01x)^7
(1 + 0.01x)^7 = 1.3159325
1 + 0.01x = 1.04
0.01x = 0.04
x = 4.
The value of x is 4.
Please help ASAP!!!!
Answer:
E. All real values of x
Step-by-step explanation:
If you were to graph this function, it would look like a diagonal line going on seemingly forever. Therefore, the domain of h would be all values of x.
how do you find the quadratic equation to a graph like this
Answer:
b²-4ac=0
Step-by-step explanation:
x=-b+0/2a
so,x=-b/2a
Write an equation of the line that
passes through the points (0,-5)
and (4,7).
Answer:
y = 3x - 5
Step-by-step explanation:
It passed through both points because of the y intercept and also the x intercept or contant matches up with the points
Which is the measure of ∠XYZ?
Answer:
you get the measure of angle XYZ by adding the measures of angles XY? and ZY?
70 +35 = 105 degrees is the measure of angle XYZ
Choose all the expressions that are equivalent to 3(2 + 11)
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22
What is the depth of the soup ( the area shaded) 20cm is the diameter?
Answer:
8 cm
Step-by-step explanation:
Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-
⇒ cos 37° = AB / AC
⇒ cos 37° = AB / 20 cm
⇒ 4/5 = AB / 20 cm .
⇒ AB = 4/5 * 20 cm .
⇒ AB = 16 cm .
Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .
Hence the depth of the soup is 8 cm .PLEASE help me. thank you
Answer:
Each paper weight is half a pound
Step-by-step explanation:
Solve this equation
S=5t+45
Answer:
t= 1/5s-9
Step-by-step explanation:
use math papa next time ;)
Solve the inequality. Graph the solution.
p-4<2
help plz
Answer:
the inequality would be p<6
the graph is below.
Step-by-step explanation:
Here's how to solve the equation:
p-4<2
add 4 to both sides
p<6
The English translation of the inequality would be "p is less than 6".
please see below for the graph.
Hope this helps! :)
One by one, without spaces, Ivan wrote the numbers from 1 to 100. Which digit is in the 100th place?
Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?
Answer:
0.15 miles per minute
Step-by-step explanation:
Average speed is in distance over time, so you could write:
1.5 miles / 10 minutes
Now, simplify:
.15 miles per minute
(hope this helps :-D)
Answer:
.15 miles per minute
Step-by-step explanation:
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
What is 5x-2y=4 6x+3y=-6
Answer:
x = 0 , y = -2
Step-by-step explanation:
A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
A. $2.35
B. $3.85
C. $5.45
D. $6.95
algebra 2!! please help im begging. i don’t understand this at all. thank you!
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
Barbara bought a new mango tree and planted it in her backyard. She drew the table below to show the growth of her new tree
Based on the table, Barbaras tree is growing at the rate of what per year?
A 122.3 cm per year
B 2.3 cm per year
C 2 cm per year
D 1.2 cm per year
Answer:
2.3 cm per year
Step-by-step explanation:
Answer:
2.3 cm
Step-by-step explanation:
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
What is the congruence method you will use to show that the triangles are congruent?
A) SSS
B) SAS
C) ASA
D) AAS
A store receives customer satisfaction ratings that range between 0 and 100. In the first 13 ratings the store received, the average customer satisfaction rating was 75. What is the least value the store can receive for the 14th rating and still be able to have an average of at least 84 for the first 21 ratings?
Answer:
Step-by-step explanation:
From the given information:
For the first 10 ratings, the average value is 75.
For maintaining the average of 84 ratings for the first 21st rating, we have:
Total rating for 21 units = 84 * 21 = 1764
For 10 units = 84 *10 = 840
Now, the initial 10 unit average = 75 * 10 =750
The first 10 unit + last 10 unit = 840 + 750 = 1590
The difference = 1764 - 1590 =174 unit
So, in the 14th rating, he has to go with 174 units.
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
Learn more about parallelogram;
https://brainly.com/question/28854514
#SPJ2
what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15
Answer:
mean: 19.66667
mode: 12
median: 18
range: 37
What expression is equivalent to 24x - 9
Answer:
3(8x-3)
Step-by-step explanation:
SOLVE FOR X. pls i need help