Answer:
30 feet
Step-by-step explanation:
Area of a triangle = bh/2
A = bh/2
240 = b(16)/2
480 = (16)b
30 = b
Base = 30 feet
I hope this helps!
Answer:
30 ft
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Given that,
Area of the triangle = 240 ft²
Height = 16 ft
Base = ??
Let us find now.
Area = [tex]\frac{1}{2}[/tex] × base × height
240 = = [tex]\frac{1}{2}[/tex] × b × 16
240 × 2 = 16b
480 = 16b
Divide both sides by 16.
30 ft ⇒ base
Bernie bought five 30 L buckets of lawn fertilizer. How much fertilizer did he have in all?
Answer:
5 × 30 L = 150 L
______________
Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the
angles of the triangle?
А. 30°, 60° and 90°
B. 33.47°, 56.53° and 90°
C. 36.87°, 53.13° and 90°
D. 40.16°, 49.84° and 90°
Answer:
option c
Step-by-step explanation:
Let the sides of the right angled triangle = x , (x +1) , (x +2)
Perimeter = 12 feet
x + x +1 + x + 2 = 12
x +x + x + 1+2 = 12
Combine like terms
3x+ 3 = 12
Subtract 3 from both sides
3x = 12- 3
3x = 9
Divide both sides by 3
x = 9/3
x = 3
x + 1 = 3 + 1 = 4
x + 2 = 3 + 2 = 5
The sides of the triangle are 3 , 4 ,5
The biggest side will be the hypotenuse.
So, hypotenuse = 5 ft. other legs are 3 and 4
[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]
another angle = 180 - [ 90 + 53.13]
= 180 - 143.13
= 36.87°
The aspect ratio of the television screen is 16:9 and it is 63cm High. What is its width?
Remington is installing a fence around his
rectangular yard. His yard is 20 feet long
by 45 feet wide. If the fencing he picked
out costs $25 per foot, how much money
will be spent on the fence?
Answer:
$3,250
Step-by-step explanation:
Find the perimeter of the yard ( the distance around the yard).
A rectangle has two sides of each dimension.
The perimeter is 20 + 20 + 45 + 45 = 130 feet.
Now multiply the total feet by the cost per foot:
130 feet x 25 per foot = $3,250 total.
the process of splitting a numbers into equal parts or groups
Answer:
Division
Step-by-step explanation:
Dictionary Definition:
the action of separating something into parts or the process of being separated.
Hope that helps
rounded to the nearest hundredth how many meters are in 32 ft (1 m = 3.28)
Answer:
9.76 M
Step-by-step explanation:
32/3.28
9.756097561
9.76
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
What table represents the relationship “A video game designer makes $35 per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 35, 70, 105. Column 2 is labeled Dollars with entries 1, 2, 3. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 40, 45. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 36, 37, 38. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 70, 105.
Answer:
d
Step-by-step explanation:
Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5
Answer:
[tex]5\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]
9x² -9y²= 72
Factorise:
9(x² -y²)= 72
Divide both sides by 9:
x² -y²= 8
(x +y)(x -y)= 8
Given that x -y= 1.5,
(x +y)(1.5)= 8
Divide both sides by 1.5:
x +y= [tex]5\frac{1}{3}[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 6
Step-by-step explanation:
We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.
90° + (4x + 3)° + 63° = 180°
90° + 4x° + 3° + 63° = 180°
4x° + 156° = 180°
4x° = 24°
x = 6
So, x = 6. Hopefully, this helped! If you have any further questions, let me know.
Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12
Answer:
function
Step-by-step explanation:
x coordinates don't repeat
Convert 12 yards 3 feet and 8 inches into inches
Answer:
476 inches. i dont know how to do an explanation i just looked it up lol
Answer:
476 inches
Step-by-step explanation:
First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.
We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.
The we add 468 inches to 8 inches and finally get 476 inches.
how do you write a solution set when there are infinite solutions
Answer:
it depends
Step-by-step explanation:
sometimes a teacher will accept "there are infinite solutions" but if you cant you may need to do something else(this applies to basically everything)
for an example lets use x=1
(1,+infinity)
or
(1,-infinity)
(this is being graphed.) (this may not apply to everything)
i hope this helps
Enter the distance, in units, between point A and point B
(Don’t sent me links pls
Answer:
1
Step-by-step explanation:
The distance between A to B is 1 unit
PLEASE HELP ME
A triangle has one angle that measures 29 degrees, one angle that measures 131 degrees, and one angle that measures 20 degrees.
What kind of triangle is it?
Answer:
obtuse angled triangle
Step-by-step explanation:
one angle is more than 90
Find x on the triangle geometry please help
Answer:
[tex]\sf x=7\sqrt{6}[/tex]
Step-by-step explanation:
As the base angles of the triangle are the same, then the legs of the right triangle are also equal. Therefore, we can use Pythagoras' Theorem to calculate x.
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of the right triangle)
Given:
a = 7√3b = 7√3c = xSubstituting the given values into the formula:
[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]
[tex]\sf \implies147+147=x^2[/tex]
[tex]\sf \implies x^2=294[/tex]
[tex]\sf \implies x=\sqrt{294}[/tex]
[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]
[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]
[tex]\sf \implies x=7\sqrt{6}[/tex]
[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]
1
Find the circumference of the circle shown, correct to two decimal places.
7 cm
Circumference =
Enter your next step here
cm
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
180 cm ≈ _____ft ?
Answer:
that would be the circumference of the circle
= 2 pi r
= 2 * pi * 2
= 6.28 feet to 2 DP's.
Step-by-step explanation:
Answer:
6 ft
Step-by-step explanation:
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]
180 cm ≈ 6 ft
Hope this helps!
Help Picture below problem 17
Answer:
139°
Step-by-step explanation:
18°+23°+?= 180°{sum of angles on a triangle}
41°+?° = 180°
?° =180-41=139°
Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Answer:
he can buy 8 of lilies and 12 of rose and 48 of daisies
Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.
According to the question
x+y+z = 24......(1)
3x+2y+0.5z = 24.......(2)
Here, we have three variables but only two equations.
2(2)-(1) gives, 5x+3y = 24......(3)
Since, x, y and z can take only integer values.
What are integers?Numbers that are not fractions called integers.
So, from (3) only x=3 and y=3 is possible
So, z= 24-x-y
z=24-3-3 = 18
So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
To get more about linear equations visit:
https://brainly.com/question/14323743
7 is less than y by 5.Find y.
Answer:
12
Step-by-step explanation:
If 7 is less then y by 5, you add 5 to 7
7 + 5 = 12
resulting in y equaling 12
12 - 5 = 7
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
Hello, it seems your figure hasn't uploaded correctly. Are you able to try again?
For 1-6, classify each triangle by its sides and then by its angle
Answer:
1) right angled triangle
2) isosceles triangle
3) equilateral triangle
4) scalen triangle
5) isosceles triangle
6) right angled triangle
Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other
I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.
Answer:
The angles are not congruent
Step-by-step explanation:
This is because the two triangles show angle angle angle and that does not prove triangle congruency.
Select the correct answer.
Ron is currently wary of investing in hardware dedicated for his data warehouse. He prefers using system software to connect to different types
of data stores. Which data warehouse is Ron using?
OA. distributed
ОВ.
LAN based
О С.
virtual
OD. multistage
О Е
stationary
The data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.
What is a virtual data warehouse?A virtual data warehouse includes a set of separate databases. These separate databases can be queried together, enabling Ron to effectively access all the data as if it was stored in one data warehouse.
A virtual data warehouse is not like a distributed, LAN-based, multistage, or stationary data warehouse.
In the case of a distributed data warehouse, there is a conglomeration of separate components connected via a network.
Thus, the data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.
Learn more about data warehouses at https://brainly.com/question/25885448
Answer:
C. Virtual
Step-by-step explanation:
Which of the binomials below is a factor of this expression?
121A^2 - 64B^2
A. 121A + 8B
B. 11A + 8B
C. 121A + 32B
D. 11A + 32B
Answer: 11A+8B
Step-by-step explanation:
Need help with this geometric question ASAP, Thank you
find the first derivative of x^2+y^2=25
Answer:
[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]
Step-by-step explanation:
Use implicit differentiation:
[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]
Remember to treat "y" as a constant in implicit differentiation and include dy/dx.
The total weight of a delivery truck is equal to the weight of the empty truck plus
the weight of the packages. The truck weighs 8,200 lb when empty.
Write an equation that shows how to use the total weight of the truck to
find the weight of the packages. Show your work.
The weight of the package is an illustration of a linear function
The total weight of the package is p = 8200 - T
How to determine the total weight of the package?The given parameter is:
Weight of empty truck = 8200 lb
Represent the total weight of the truck with T, and the weight of the package with p.
So, we have:
T = 8200 + p
Make p the subject
p = 8200 - T
Hence, the total weight of the package is p = 8200 - T
Read more about linear equations at:
https://brainly.com/question/4074386