Answer:
7
Step-by-step explanation:
V = l x w x h
=7/2 x 4/3 x 3/2
=84/12
=7 feet cubed
Plot the points A(9, 11) and B(–3, –5). Find midpoint M of AB. Then show that AM = MB and AM + MB =AB
Answer:
The midpoint is (3, 3).
Step-by-step explanation:
We are given the two points A(9, 11) and B(-3, -5).
The midpoint is given by:
[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]
So:
[tex]\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)[/tex]
The midpoint is (3, 3).
We want to show that AM = MB.
We can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The distance between A(9, 11) and M(3, 3) will then be:
[tex]AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10[/tex]
And the distance between B(-3, -5) and M(3, 3) will be:
[tex]MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10[/tex]
So, AM = MB = 10.
Since AM = MB = 10, AM + MB = 10 + 10 = 20.
So, we want to prove that AB = 20.
By the distance formula:
[tex]AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20[/tex]
Please answer correctly for heart and maybe brainiest
Here is a diagram of a person standing next to a tree.
The diagram shows two centimeter rulers.
The tree and the person are drawn to the same scale.
The person is approximately 1.65 m tall.
Using the scale diagram, estimate the height of the tree in meters
Answer:
9.9 m
Step-by-step explanation:
According to the scale the person is 2 cm tall, and the tree is 12 cm tall.
So we know that the tree is 6 times taller than the person because,
12 cm = 6 x 2 cm
The actual height of the person is 1.65 m.
Since we know that the tree is 6 times taller than the person, we can find the height of the tree to be
6 x 1.65 m = 9.9 m
can someone give me the slope and y-intercept for this ?
The slope is equal to the change in y / change in x.
The change in y is always 5 and the change in x is always 1.
So the change in y / change in x is 5/1 or 5.
The y-intercept is the value of y when x = 0.
So the value of y when x = 0 is 2.
factorise 3a-6b+ax-2bx
Answer:
(a-2b) ×(3+x)
Step-by-step explanation:
plz mark as brainliest
How many nineths does it take to make the same as 1/3
Answer:
3
Step-by-step explanation:
Answer:
3/9ths
Step-by-step explanation:
The tape diagram a way to model 5/8x11 what fraction
Answer:
its 6 7/8
Step-by-step explanation:
Simply the expression by combining like terms 6x+9+2x+4
The diagram below is a scale drawing of a former's vegetable garden, where the length is 12 inches and the width is inches. The actual garden has a scale of 1 in 16 foot Select the following statements below the accurately represent the
cual garden.
Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?
Answer:
Each book cost $16
Step-by-step explanation:
Step 1: Subtract $13 from 141 to get 128
Step 2: Divide 8 by 128 to get 16
Each book cost $16
Hope this helps
pls mark brainliest!
in a lottery, players must match five numbers plus a bonus number. five white balls are chosen from 59 white balls numbered from 1 to 59, and one red ball (the bonus number) is chosen from 35 red balls numbered 1 to 5. how many different results are possible?
Pls help ASAP I’ll brainlest
Answer:
b) x= -13
Step-by-step explanation:
Answer:
it's answer is= - 13.175
but it is not in option
so B) - 13
is right
a right circular cylinder is to be designed to hold 22 cubic inches of soft drink. Write the equation in r and h
Answer:
[tex]\pi r^2h=22[/tex]
Step-by-step explanation:
Given: A right circular cylinder is to be designed to hold 22 cubic inches of soft drink.
To find: equation in [tex]r[/tex] and [tex]h[/tex]
Solution:
Let [tex]r[/tex] denotes radius of a cylinder and [tex]h[/tex] denotes height of a cylinder.
Volume of a cylinder [tex]=22[/tex] cubic inches
Also,
Volume of a cylinder [tex]=\pi r^2h[/tex]
Therefore,
[tex]\pi r^2h=22[/tex]
2.8125 rounded to the nearest tenth please!
Answer:
2.8
Step-by-step explanation:
The tenths place is one place to the right of the decimal place.
Since 1 is less than 5, you keep 8 in the tenths place.
2. The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 750F water, how long will it take an ice cube of the same size to melt in 800F water?
Answer:
21 mins
Step-by-step explanation:
9+10=21
ASAP please i need help on this also ill give brainlist and please explain how you go the answer
9514 1404 393
Answer:
110 square inches
Step-by-step explanation:
First, recall the formula for the area of a trapezoid:
A = (1/2)(b1 +b2)h
Next, identify the base and height dimensions on the figure.
b1 = 13 in; b2 = 9 in; h = 10 in
Next, fill the numbers into the formula and do the arithmetic.
A = (1/2)(13 in + 9 in)(10 in) = (1/2)(22 in)(10 in) = 110 in^2
Last, answer the question asked.
The area of the trapezoid is 110 square inches.
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
Learn more about Equation:
https://brainly.com/question/2263981
One-seventh of a number, increased by twelve
Answer:
one seventh of 14 increased by 12 is 14
Step-by-step explanation:
so my example will use 14, so one seventh of 14 is 14 divided by 7 which is 2 then you just add 12 to 2 which gets you 14
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement "One-seventh of a number, increased by twelve" is written as (x/7)+12.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "One-seventh of a number, increased by twelve" can be written in the form of an expression as shown below.
One-seventh of a number → x × (1/7) = x/7One-seventh of a number, increased by twelve→ x/7 + 12Hence, The given statement "One-seventh of a number, increased by twelve" is written as (x/7)+12.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
What are the coordinates of the point on the directed line segment from (-8, -2) to
(6,2) that partitions the segment into a ratio of 1 to 3?
Answer:
The coordinates of the point are (-4.5,-1).
Step-by-step explanation:
We want to find point T(x,y).
I am going to say that out points are A(-8,-2) and B(6,2)
Since it partitions the segment in a 1:3 ratio, we have that:.
[tex]T - A = \frac{1}{1+3}(B-A)[/tex]
[tex]T - A = \frac{1}{4}(B-A)[/tex]
We apply this to both the x-coordinate and y-coordinate of T.
x-coordinate:
x-coordinate of A: -8
x-coordinate of B: 6
x-coordinate of T: x.
So
[tex]T - A = \frac{1}{4}(B-A)[/tex]
[tex]x - (-8) = \frac{1}{4}(6-(-8))[/tex]
[tex]x + 8 = \frac{14}{4}[/tex]
[tex]x = \frac{14}{4} - 8[/tex]
[tex]x = \frac{14}{4} - \frac{32}{4}[/tex]
[tex]x = -\frac{18}{4}[/tex]
[tex]x = -4.5[/tex]
y-coordinate:
y-coordinate of A: -2
y-coordinate of B: 2
y-coordinate of T: y.
[tex]T - A = \frac{1}{4}(B-A)[/tex]
[tex]y - (-2) = \frac{1}{4}(2-(-2))[/tex]
[tex]y + 2 = 1[/tex]
[tex]y = -1[/tex]
The coordinates of the point are (-4.5,-1).
can anyone help plss
Answer:
what do u need help with
Step-by-step explanation:
Shawn is buying his first home. At closing he brought a check for $7570. The
closing costs were as follows:
Title Fee
Processing Fee
Appraisal
No. of Points
$545
$2100
$695
2
Based on this information, how much did the house cost?
A. $211,500
B. $141,000
C. $159,000
D. $175,000
Answer: 211,500
Step-by-step explanation:
Just took the quiz
I need help with this question
Answer:
[tex]Tax~required~to~be~paid = 5.4% (5) = \frac{5.4}{100}(5) = \frac{27}{100}[/tex][tex]~of~(5) = \frac{5.4}{100}(5) = \frac{27}{100} = 0.27~dollars[/tex]
BRAINLIEST FOR WHOEVER GETS IT RIGHT
Answer:
1.5 < 3 - √2 < 1.6
Step-by-step explanation:
465.00 base
24.0%
What is the percentage
Answer:
111.6
Step-by-step explanation:
Jackie decorated 4 posters in 24 minutes. At that rate, how many minutes would it take to decorate 12 posters?
Answer:
72 mins
Step-by-step explanation:
24/4 = 6
So each poster take 6 mins to decorate
12 x 6 = 72
Y / -7 = -3
What does the Y equal
Answer:
y=21
Step-by-step explanation:
-3 * -7 = 21
Answer:
21
Step-by-step explanation:
For this question multiply 7 to 3
Find c. Round to the nearest tenth.
Answer:
Here,
150+10=180
162-180=18
Answer is 18°
Step-by-step explanation:
So the round of nearest tenth is 18°
Hope it will help have a great day at school. ^_^
the product of four numbers is 540 three of the numbers are 2, 5 and 9. what is the other number
Answer:
Step-by-step explanation:
abcd=540
2(5)9a=540
90a=540
a=540/90
a=6
5 Victor knows that 2 + 7 = 7+2 and 2•7= 7•2
He wonders if 2^7= 7^2
Fill in the blanks to explain whether 2^7= 7^2
To write 2^7as a repeated multiplication product, write
When 2^7is written as a repeated multiplication product, the only factor
To write 7^2 as a repeated multiplication product,
is
write
When 7^2 is written as a repeated multiplication product, the only factor
is
Check for common factors. Since 27 and 72 have
common
factor(s), 2
72
Answer:
2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
Complete the statement using <> or = -8/15 10/18
Answer:
-8/15 is less than 10/18 so <
Step-by-step explanation:
A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.
Answer:
no
Step-by-step explanation: