Answer: The area of the figure is 24 units.
Step-by-step explanation:
After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)
Height = 4-1 = 3 units
Base = 2-(-6) = 8 units
Area of parallelogram = Base x height
= 8 x 3 square units.
= 24 square units.
Hence, the area of the figure is 24 units.
A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
ANSWER:
200 millimetre
====================================================
Work Shown:
1 meter = 100 cm
3 meters = 300 cm (multiply both sides by 3)
15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.
------------
Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens
20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km
It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.
------------
Let's convert to mm and see what happens
20 cm * (10 mm/1 cm) = 200 mm
Through trial and error, we arrived at the final answer.
What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Step-by-step explanation:
the arithmetic mean are 14
EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area!
Answer:
Total Area: 60
Step-by-step explanation:
The area of the rectangle is the easiest to find. Just multiply 12x4.
12x4=48
For the triangle. You can subtract 4 from the height of 10ft.
The height of the triangle is now 6ft.
To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.
Btw the image was really small. Kind of hard to see the numbers.
In which class is the mean a better representation of the data, Class A or Class B? Explain your answer.
Answer:
class b
Step-by-step explanation:
because the mean and median are approximately the same
Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)
Answer:
10
Step-by-step explanation:
Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2
sqrt_/(-9-(-3))^2 + (3-(-5))^2
sqrt_/(-6)^2 + (8)^2
sqrt_/36+64
sqrt_/100
Simplify and you get the number 10.
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)
Answer:
A
Step-by-step explanation:
Log poperties
What is the mesure of angle AXB?
I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?
The question is incomplete. The complete question is :
Two companies modeled their profits for one year.
Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.Which statement describes the relationship between the profits, predicted be the models, of the two companies?
Solution :
For one year, the two companies A and B modeled their profits.
It is given that :
Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].
But the company B uses the data in the table in order to write the linear model to represent their monthly income.
We know the linear function is given by :
[tex]$P(t)=mt+c$[/tex]
Here, m = slope of line
c = y-intercept
According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :
[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]
The point [tex](3.5)[/tex] passes through the given line.
∴ [tex]$5=5(3)+c$[/tex]
[tex]$5=15+c$[/tex]
[tex]$c=5-15$[/tex]
[tex]$c=-10$[/tex]
Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]
So, at [tex]t=4[/tex],
the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]
= 6.91
the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]
= 20 - 10
= 10
Therefore, [tex]t=4[/tex], the profit of the company B is more than the profit of company A.
Now at [tex]t=12[/tex],
Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]
= 102.05
Profit of company B is [tex]P(12)=5(12)-10[/tex]
[tex]$=66-10$[/tex]
= 56
Therefore, the profit of company A is more that that of company B at the end of the year one.
Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.
Option (B) is the correct answer.
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
What is the slope for y = - 6x + 12 on a graph
Answer:
For question A) y = -6 , b = 12
For question B) x = 2
Step-by-step explanation:
PLEASE HELP!!!
Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11
Answer:
B. y= -½x + 11
Step-by-step explanation:
_______________
find the area of the isosceles triangle
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two marbles, without replacement, that are both black? Answer as a decimal to the nearest thousandths place (3 after the decimal).
Answer:
.065
Step-by-step explanation:
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18
P(1st black) = Black/total = 5/18
You keep the marble
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17
P(2st black) = Black/total = 4/17
Multiply the probabilities together
P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065
LABEL THE TRIANGLE!! PLEASE HELP!!
Answer:
Determination of HYP,OPP,ADJ with respect to x.
Opposite side of right angle:Hypotenuse: AC
Opposite side of given angle: Opp:BC
remaining side of a triangle: Adjacent:AB.
What is the perimeter of the garage if d=3
I’m marking branliest
Answer:
perimeter= 46
Step-by-step explanation:
(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)
7 + 7 + 16 + 16
= 46
Uh... hope someone answer it hehe -,-
1-opposite angles are congruent
2-consecutive angles are supplementary
3-diagonals of a parallelogram divide the parallelogram into two congruent triangles
4-diagonals of a parallelogram bisect each other
The radius of a circle is 11 meters. What is the circle's area?
Answer:
379.94 m²
Step-by-step explanation:
3.14×11²= 379.94 m²
Step-by-step explanation:
The area of a circle is
π[tex]r^{2}[/tex]
The r is 11 so we get 11^2 * π
121π is our exact area,
380.13 m^2 is our approximate area
Find the measure of each angle indicated. It’s two questions.
11)
A) 41
B) 45
C) 49
D) 42
12)
A) 68
B) 85
C) 70
D) 71
Solve 6 - 2x = 3
How do I do this?
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
6 - 2x = 3
(You have to subtract 6 on both sides so it can cancel out)
6 - 6 - 2x = 3 - 6
-2x = -3
(Now, you divide -2 on both sides to isolate the x)
-2/(-2)x = -3/(-2)
x = 3/2
In a 3-digit number, the hundreds is one more than the ones digit and tens digit is twice the hundred digit. If the the sum of the digits is 11, find the number.
Answer:
362
Step-by-step explanation:
Let u = the units digit
2(u + 1) = the tens digit
u + 1 = the hundreds digit
u + 2(u + 1) + u + 1 = 11
u + 2u + 2 + u + 1 = 11
4u + 3 = 11
4u = 8
u = 2 = ones digit
u + 1 = 3 = hundreds digit
2(u + 1) = 2(3) = 6
The number is 362
PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!
Answer:
x-intercept: 15
y-intercept: -6
The slope is positive because 2/5 (the slope) is positive.
Step-by-step explanation:
The x-intercept is where the line crosses the x-axis.
The y-intercept is where the line crosses the y-axis.
to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help this is due today please
Answer:
3.56 pints
7.125 cups
57 oz
Step-by-step explanation:
water = 1 quart = 32 oz
lemon juice = 1 pint = 16 oz
honey = 9 oz
lemonade = 32 + 16 + 9 = 57 oz
Now 16 oz = 1 pint
So, 57 oz = 3.56 pint
As, 1 cup = 8 oz
So, 57 oz = 7.125 cups
If you have 5 questions and get an 80% how many questions did you get wrong?
Answer:
4
Step-by-step explanation:
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answer:
$29, that is the answer for this question
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful