Step-by-step explanation:
step 1. 3(sqr(27) - 16) sqr is the square root
step 2. 3(3sqr3 -16)
step 3. 9sqr3 - 48.
the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
After 3 rounds, 43 students are eliminated from the freeze dance game. There are 56 students remaining. Find the number of students who started the game.
PLEASE HELP!!! Pleaseee!
Answer:
a
Step-by-step explanation:
the equations in the triangle consist of (2x +1) and (5x +5)
A swimming pool holds 18,000 gallons of water. The pool is 40% full. How many more gallons are needed to fill the pool?
Answer:
Since 40% of 18,000 gallons is 7,200 gallons filled up, then 18,000-7,200 gallons= 10,800 gallons left to fill up the poolStep-by-step explanation:
40% of 18,000 gallons means
40 x 180= 7,200 gallons
18,000-7,200 gallons= 10,800 gallonsA farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
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In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
sara had 51 stickers and her dad had 13 stickers how many are in all
Answer:
64
Step-by-step explanation:
Answer:
64!
Step-by-step explanation:
(50 + 10) + (1 + 3)
(60) (4)
60 + 4 = 64!
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
I will give you BRAINLIEST for the correct answer
I think 49 meters in 28 hours
Answer:
it's 49 meters in 28 hours
Step-by-step explanation:
what I did here is I said half of 49 meters which is = 25m (rounded off) and half of 28 hours is 14 hours
so it's
25 m in 14 hours compared to 14 meters in 10 hours
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
Will Give Brainliest if Correct
Answer:
35
Step-by-step explanation:
Law of cosines
c^2=a^2+b^2-2ab(cos(A))
14^2=11^2+8^2-2(11)(8)Cos(A)
A=93.5833
Law of Sines
Sin(A)/a=Sin(B)/a
Sin(93.5833)/11=Sin(B)/8
B=34.7719
PLEASE HURRRY!!!!!!!!!!!!!
22+2y
hope it helps you ❣❣Mark me as brainliest
Answer: 11 + (2 + Y) type that in and submit
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 180 calories per 15
square inches, how many calories did he eat?
Answer:
700 calories
Step-by-step explanation:
Leo's age is 21 less than 2 because of his sisters age. If her sister is 23 years old how old is Leo
Factor 30-20 using gcf
Answer: 10
Step-by-step explanation:
hello ! i need help
which figures appear to be congruent
Answer:
2 and 3
Step-by-step explanation:
Congruent means that they look the same. 2 and 3 are the only ones that look the same.
1) Carl had nine gallons of gasoline in his motorbike. After driving 115 miles, he has three gallons
left. What is Jamie's rate of change in miles per gallon?
Answer:
asc
Step-by-step explanation:
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
Will mark brainlist plz anwser
Answer:
1,740 is the width.
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
f(x) = 2x^2 − 6x + 3 for x = −1
Triangle ABC is shown below.
What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с
Answer:
14
Step-by-step explanation:
3x-7=2x(isosceles triangle)
x=7
AC=3(7)-7=21-7=14
The length of the side AC in the given triangle is 14 units.
What is a triangle?A polygon with three sides, angle and vertex is called a triangle.
Given is a triangle ABC, with sides, AB = 2x, AC = 3x-7 and BC = 4x-10,
We need to find the length of AC,
According to the figure, ∠B ≅ ∠C, therefore, according to the theorem of triangles, that sides opposite to congruent angles are congruent,
Therefore, AC = AB
2x = 3x-7
x = 7
AC = 3(7)-7
AC = 14
Hence, the length of the side AC in the given triangle is 14 units.
Learn more about triangle, click;
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