Answer:
Capacity of the rectangular tank in litres is 165.75l
Step-by-step explanation:
Volume of the tank
[tex] = lbh[/tex]
[tex] = 85 \times 65 \times 30[/tex]
[tex] = 165750 {cm}^{3} [/tex]
Capacity of the tank
[tex] = 165750ml[/tex]
[tex] = 165.75l[/tex]
4 times the square of a non-zero number is equal to 12 times the number.
what is the number?
Answer: 3
Step-by-step explanation:
Let the number be x.
4*(x squared) = 12x
Divide both sides by 4,
X squared = 3x,
divide both sides by x,
X=3
(d) 23.89 cg = ______________ Kg
Answer:
the answer is 0.0002 kilograms
Step-by-step explanation:
I forgot to label the triangle below! I just know that the cos A = 0.48. Based on this information, which angle should be marked A?
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
------------------------
hope it helps...
have a great day!!
1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long
Answer:
[tex]Area = 60x - x^2[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 120[/tex]
[tex]Side\ 1 = x[/tex]
Required
The area of the garden
First, we calculate the length of the other side using:
[tex]Perimeter = 2 *(Side\ 1 + Side\ 2)[/tex]
This gives:
[tex]120 = 2 *(x + Side\ 2)[/tex]
Divide both sides by 2
[tex]60 = x + Side\ 2[/tex]
Make Side 2 the subject
[tex]Side\ 2 = 60 - x[/tex]
So, the area of the garden is:
[tex]Area = Side\ 1 * Side\ 2[/tex]
[tex]Area = x * (60 - x)[/tex]
Expand
[tex]Area = 60x - x^2[/tex]
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
Step-by-step explanation:
[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]
x = 10/3
If the measure of < A is 36 °, and the measure of < B is 54 ° , then < A and < B are ______.
Select one:
a. complementary angles
b. congruent angles
c. supplementary angles
d. adjacent angles
Answer:
A
Step-by-step explanation:
Two angles whose sum is 90° are complementary angles.
∠ A + ∠ B = 36° + 54° = 90°
Then ∠ A and ∠ B are complementary angles
The solution is: If the measure of < A is 36 °, and the measure of < B is
54 ° , then < A and < B are a. complementary angles
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, we have,
Two angles whose sum is 90° are complementary angles.
∠ A + ∠ B
= 36° + 54°
= 90°
so, we get,
Then ∠ A and ∠ B are complementary angles
Hence, The solution is: If the measure of < A is 36 °, and the measure of < B is 54 ° , then < A and < B are a. complementary angles
To learn more on angle click:
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PLEASE ANSWER ASAAPPPPPPPP
Answer:
3
Step-by-step explanation:
solve for
1) a
2) f
3) e
Answer:
Step-by-step explanation:
b + 70 = 180 {Supplementary angles}
b = 180 - 70
b = 110
a +b = 180 {Linear pair}
a + 110 = 180
a = 180 - 110
a = 70
d + 60 = 180 {linear pair}
d = 180 - 60
d = 120
c + d + 60 = 360 {one point angle}
c + 120 + 60 = 360
c + 180 = 360
c = 360 - 180
c = 180
f + 60 = 180 {Supplementary angles}
f = 180 - 60
f = 120
Find the value of x and y from the equation
Answer:
x = 5 and y = 3
Step-by-step explanation:
5x - 3y = 16
3x - y = 12 multiply second equation by (-3)
(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)
-9x + 3y = -36 now subtract this from the first equation
5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)
-4x = -20 and 4x = 20 divide both sides by 4
x = 5 if 3x - y = 12 then 3*5 - y = 12
15 - y = 12
-y = -3 and y = 3
In general, a gallon of paint can cover 400 square feet. Muhanmmad needs to cover a 21 foot by 17 foot wall and a circular area with a 5 foot radius. How many gallons will he have to buy?
Answer:
1.1 gallons of paint
Step-by-step explanation:
The wall measures;
21 foot by 17 foot
Thus, area of wall = 21 × 17 = 357 ft²
Circular area has a radius of 5 ft.
Thus;
Area of circle = πr² = π × 5² = 78.54 ft²
Total area covered = 357 + 78.54 = 435.54 ft² ≈ 436 ft²
A gallon of paint can cover 400 ft²
Thus gallons Muhammad would need = 436/400 = 1.09 gallons ≈ 1.1 gallons
Someone pleaseee help I’m struggling
Step-by-step explanation:
(0,5) and (-2,-3)
y=mx+b
find m
[tex] \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - ( - 3)}{0 - ( - 2)} \\ = \frac{8}{2} \\ = 4 \\ [/tex]
m=4
Substitute (0,5) or (-2,-3)
For easy processing substitute : (0,5)
y=4x+b
5=b
y=4x+5 is the answer
Brainliest please~
8/m - b/n simplified
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{8}{m}-\frac{b}{n}\\\\\rightarrow \text{Adjust based on LCM}\\\text{LCM: } mn\\\\\frac{8n}{mn}-\frac{bm}{mn}\\\\\boxed{\frac{8n-mb}{mn}}[/tex]
Hope this helps.
5/9 of a piece of metal has a mass of 7kg. what is the mass of 2/7 of the piece of metal
5/9 of mass of metalx=7kg
5/9*mass ofmetal x=7kg
divide both sides by 5/9
value of mass metalx=63/5
2/7 of mass metalx=?kg
2/7*63/5=126/35kg=3.6kg
true or false: The function f(x) = 3/x + 7x a polynomial
Answer: False
Step-by-step explanation:
If you graph this using Desmos, you can clearly see that for every x value, there are multiple y values.
A function has only one output(y) for every input(x)
True, The function f(x) = 3/x + 7x is a polynomial.
What is a polynomial?
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
The function : f(x) = 3/x + 7x
Simplifying,
f(x) = 3/x + 7x
f(x) = (3 + 7x²)/x.
And it is a polynomial with the variable x.
Therefore, it is a polynomial with the variable x.
To learn more about the Polynomials;
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Please someone help!
solve for X
Answer:
x = 9
Step-by-step explanation:
The central angle is equal in measure to the arc that subtends it, that is
9x - 1 = 80 ( add 1 to both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
What do you know about the hypotenuse of triangle abc
Step-by-step explanation:
it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe
plz hellppp 10 points!!
Select the correct difference.
5d^2 + 4d-3 less 3d^2-2d+4
answers:
a. 2d^2+2d+1
b. 2d^2+6d+7
c. 2d^2+6d-7
d. -2d^2-6d+1
Answer:
(c)
Step-by-step explanation:
Put all numbers in the same side
5d^2-3d^2+4d+2d-4-3=0
2d^2+6d-7
Determine the length of AC.
16.7 units
18.9 units
3.4 units
19.4 units
Answer:
16.7 units
Step-by-step explanation:
To get AC, we can use the sine rule here
BC/sine 86 = AC/sin 68
18/sine 86 = AC/sine 68
AC = (18 * sine 68)/sine 86
AC =16.73 units
help pls and explain!!!
If x^2 + kx + 6 = (x+n)(x + 3) for all values of x, where k and n are constants, what is the value of k?
A) 5
B) 3
C) 2
D) 1
Answer:
A) 5
Step-by-step explanation:
We are given that:
[tex]x^2+kx+6=(x+n)(x+3)[/tex]
Where k and n are constants.
And we want to find the value of k.
We can expand the right-hand side:
[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]
Hence:
[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]
The coefficients of each term must be equivalent. In other words:
[tex]k=n+3\text{ and } 6=3n[/tex]
Solve for n:
[tex]n=2[/tex]
Now, we can solve for k:
[tex]k=(2)+3=5[/tex]
Our answer is A.
The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangular plot?
Answer:
72 m^2
Step-by-step explanation:
Perimeter = 36
Length + width = 18
w + w + 6 = 18
2w + 6 = 18
2w = 12
w = 6
Length + 6 = 18
Length = 12
Area = 6 * 12 = 72 m^2
x + 25 = 50 . Find the Value of x
Answer:
25
Step-by-step explanation:
x + 25 = 50
=> x = 50 - 25
=> x = 25
Answer:
x = 25
Step-by-step explanation:
x + 25 = 50
Solve for x;
x + 25 = 50Step 1 :- Move 25 to the right-hand side and change their sign.
x = 50 - 25Step 2 :- Subtract 25 from 50.
x = 25find the next four terms of the sequence 5, 4, 9, 13, 22
Hello,
It is the Fibonacci 's suit.
[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]
Someone tell me where everyone is going right please !!
Answer:
A) 100+55x > 150+51x
B) x>12.5
C)13
Step-by-step explanation:
Bc I said so lol :)
Answer:
again hello dude :D
answers are at the photos
GOOD LUCK :D
Step-by-step explanation:
greetings from Turkey ツ
In 3,536.655, the value of the digit in the tenths place is equal to____times the value of the digit in the ones place.
Answer:
1
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following digit;
3,536.655
Starting from the right (after the decimal), we would determine the place value of each number.
The place value of 5 is thousandths.The place value of 5 is hundredths.The place value of 6 is tenths.*The place value of 6 is ones or units (6 is in ones place).*The place value of 3 is tens.The place value of 5 is hundreds.The place value of 3 is thousands.* These are the values that are required for this calculation.
Thus, 6 = 1 * 6
In 3,536.655, the value of the digit in the tenths place is equal to one (1) times the value of the digit in the ones place.
Answer:
1
Step-by-step explanation:
HELP!!!!! meeeeeejejsjss
Answer:
[tex]3600[/tex]
Step-by-step explanation:
One is asked to find the cost of a vacation when given the following information;
Travel: 150
Hotel: 50 per day
Spending money: 250
One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.
- Each cost is per person, therefore one will have to multiply the cost by the number of people.
- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.
- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people
- The spending money is for the entire vacation and not per day.
With these assumptions, one can form the following equaton;
x = number of people = 4
y = number of days = 7
[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
Substitute,
[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
Simplify,
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]
show that the disgonals of a square are equal and bisect each other at right angle
WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).
Answer:
[tex](f+g)(1)=0[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]
And we want to find the value of (f + g)(1).
Recall that this is equivalent to:
[tex]=f(1)+g(1)[/tex]
According to the set, f(1) = -1 and g(1) = 1. Hence:
[tex]=(-1)+(1)=0[/tex]
15% of $9 is $______
Answer:
$1.35
Step-by-step explanation:
multiply 9 by 15% which relates to .15. so 9×0.15 is $1.35
Answer: 9 times .15=1.35
15% of $9 is 1.35
Step-by-step explanation:
