Answer:
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Step-by-step explanation:
Given :-
Length of rectangle = 9 feet Width of the rectangle = 7 feetTo Find :-
Perimeter and areaSolution :-
We know that,
Perimeter of rectangle = 2(L + W)Substituting the values, we get:
↠ Perimeter = 2(9 + 7)
↠ Perimeter = 2(16)
↠ Perimeter = 32 feet
Now,
Area of rectangle = Length × WidthSubstituting the values, we get:
↠ Area = 9 × 7
↠ Area = 56 ft²
Hence,
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:
Answer:
m∠A = 19°
vertical angles are of same measure.
⇒ so given m∠A = m∠B
Find x
3(x) + 13 = 5(x) + 93(x) - 5(x) = 9 - 13-2(x) = -4x = 2Then find m∠A
3(x) + 13°3(2) + 13°6° + 13°19°Answer:
19°That's your answer
Step-by-step explanation:
So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.
Now we are given 2 angles.
Angle A and Angle B
Angle A= (3x+13) degrees
Angle B=(5x+9) degrees
Knowing that and that they measure the same just put them equal to each other……
3x+13=5x+9
Given the equation just solve…..
Lets subtract 9 from 13
Then Subtract 3x
Then Divide by 4
3x+13=5x+9
3x+4=5x
4=2x
x=4/2 =2
x= 2
We now Know X is equal to ½ but we still need to figure out the measure of angle A
Angle A= 3x+13
So just plug in
3(2) +13= 19° :)
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if you need any help i'm at your service.... :)
What is the mean of 75,14,48,81,39,67,33,19
Answer:
47
Step-by-step explanation:
To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get
Σarray/arraysize = 75+14+48... / 8
Answer:
Mean = 47
Step-by-step explanation:
Given terms :
7514488139673319The mean is equal to the sum of the terms divided by the number of terms.
Therefore, the mean is equal to :
75 + 14 + 48 + 81 + 39 + 67 + 33 + 19 / 8 [Take terms that add up to 100, makes it easier to calculate!]100 + 100 + 89 + 87 / 8200 + 176 / 8376/8Mean = 47Instructions: Given the figure, what is the angle of rotational symmetry?
Answer:
180°
Step-by-step explanation:
The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.
If you rotate it once by 90°, it will look completely different.
However, if you rotate it again by 90°, it looks identical to the original.
90° + 90° = 180°
Two hens lay two eggs in two minutes. If this is the maximum speed, what is the total number of hen needed to lay 500 eggs in 500 minutes
1 hen lays 1 egg in 2 minutes
You need 250 chickens
The total number of hen needed to lay 500 eggs in 500 minutes = 2
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Two hens lay two eggs in two minutes.
This means, two hens lay 1 egg per minute
So, they lay 500 eggs in 500 minutes.
Therefore, the total number of hen needed to lay 500 eggs in 500 minutes = 2
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.
Answer:
x = 28
Step-by-step explanation:
4x-16 = 2(x+20)
4x-16 = 2x+40
Divide 2x from each side:
2x-16 = 40
Add 16 to each side:
2x = 56
Divide each side by 2:
x = 28
I dont know how to solve equations by completing the square x^2 −51=14x
Answer:
or, x^2-14x-51=0
or, x^2-(17-3)x-51=0
or, x^2-17x+3x-51=0
or, x(x-17)+3(x-17)=0
or, (x-17)(x+3)=0
Either, x-17=0. Or, x+3=0
x=17. x= -3
Hence,x=17, -3
[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answer:
infinitely many
Step-by-step explanation:
5x+3(x-1)=10x-2x-3
5x+3x-3=10x-2x-3
8x-3=8x-3
Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
find g(2) → g(2) = 2 - 1 which is 1next, find f(1) → f(1) = 1³ which is 1Now, we can work out the right hand side.
find f(-1) → f(-1) = -1³ which is -1then, find g(-1) → g(-1) = -1 - 1 = -2Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18
Answer:
(- 6, 0 )
Step-by-step explanation:
x = -2y - 6 → (1)
- 3x - 7y = 18 → (2)
substitute x = - 2y - 6 into (2)
- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side
6y + 18 - 7y = 18
- y + 18 = 18 ( subtract 18 from both sides )
- y = 0 , then
y = 0
substitute y = 0 into (1)
x = - 2(0) - 6 = 0 - 6 = - 6
solution is (- 6, 0 )
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...
(x, y) = (-6, 0)
__
The first equation gives a convenient expression for substituting for x in the second equation:
-3(-2y -6) -7y = 18
18 -y = 18 . . . . . . . . simplify
y = 0 . . . . . . . . add y-18
x = -2(0) -6 = -6
The solution by substitution is (x, y) = (-6, 0).
need help hurry!!!!!
Answer:
y=3x
Step-by-step explanation:
Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows. Same with the bottom. Go down 3 left one.
An art teacher put 108 markers on the 8 tables in her room she gave out the greatest number of markers possible so that each table had the same number of markers how many markers were left over?
Answer:
4 markers left
Answer:
4 markers
Step-by-step explanation:
108/8=13.5
13x8=104
108-104=4
alguien me ayuda ,, Hallar la suma de los primeros 20 numeros multiples de 3
Answer:
630
Step-by-step explanation:
1st = 3
2nd = 6
3rd = 9 ...
20th = 60
Súmalos todos juntos para encontrar la suma.
3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45 + 48 + 51 + 54 + 57 + 60 = 630
La suma de los primeros 20 múltiplos de 3 es 630
¡Espero que esto ayude!
6. The table below represents the number of
donut holes per box at Damon's Donuts. What
is the median number of donut holes?
# OF DONUT
HOLES
22
23
24
25
FREQUENCY
1
2
3
2
A. 23
B. 23.75
C. 24
D. 24.5
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
Answer number 3 pleaseee
Answer:B=24 in²
B'=12 in²
B^=6 in²
I think the answer is B
Step-by-step explanation: I put the explaination with the answer
Answer:
C
Step-by-step explanation:
24 × 1/2 = 12
can we be friends?
If q is inversely proportional to p and q =120 and p=2
Answer:
complete your question please
What's 83% of £408 and what is 41% of 53g and what is 97% of 345m
Answer:
338
21.73
334.65
Step-by-step explanation:
mulitply 408×.83
multiply 53×.41
mulitply 345×.97
What is the correct answer for this
Answer:
The answer for this question is 9.
Step-by-step explanation:
8.5 x 4 x 9 is 306
Answer:
P = 9 mm
Step-by-step explanation:
306 = P X 8.5 X 4
306 = 34P
[tex]306/34 = P[/tex]
P = 9 mm
Hope this helps
Could someone please help me with this problem and give me an explanation on how to solve it?
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
D. A ( a-1/2)
Step-by-step explanation:
Hello!!
You must cancel out the common factor or in this case, ( a3/2) on the top.
You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)
Hope this helped!. :)
For which intervals is the function increasing?
Select each correct answer.
(2, ∞)
(1, 2)
(−∞, 0)
(0, 1)
Answer:
That would be (2, infinite)
Step-by-step explanation:
hope this helps
Write an equation for the line that passes through (−8.5,11) and (5,−2.5)
y = -x + 2.5
slope formula:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
find slope:
[tex]\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}[/tex]
[tex]\rightarrow \sf \dfrac{-13.5}{13.5}[/tex]
[tex]\rightarrow \sf -1[/tex]
equation formula:
[tex]\sf y_1-y = m(x_1-x)[/tex]
find equation:
[tex]\hookrightarrow \sf y-11=-1(x-(-8.5)[/tex]
[tex]\hookrightarrow \sf y-11=-x-8.5[/tex]
[tex]\hookrightarrow \sf y=-x-8.5+11[/tex]
[tex]\hookrightarrow \sf y=-x+2.5[/tex]
Slope:-
m=-2.5-11/5+8.5m=-13.5/13.5m=-1Equation in point slope form
y-11=-1(x+8.5)y-11=-x-8.5y=-x+2.5What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve
Answer:
however big her wall is. if you give me how big her wall is i can help u more on this
Step-by-step explanation:
f is inversely proportional to p. f = 8 when p = 9 a) Use the information above to write an equation for f in terms of p. b) What is the value of f when p 5? Give any decimal answers to 1 d.p.
Answer:
a. f = 72/p
b. 14.4
Step-by-step explanation:
a. bringing in constant k,
f = k/p
cross multiplying
k = fp
k = 8×9
k = 72
the formula for f;
f = 72/p
b. Using the formula for f
f = 72/p
f = 72/5
f = 14.4
Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
can someone please help with this one question thank you !!
2 feet.
to find:how many square feet of wood he used to build the box.
solution:each side measures 2ft.
A=L²=(2 ft)²=4 ft²
A cube has 6 sides so the total quantity of wood is:
Wood=6×A
=6×4 ft²
=24 ft²
he used 24 ft² of wood to build the box.
Solve this Distributed property 2(3x+5)
Answer: x = -.6
Step-by-step explanation:
2(3x+5) = 6x + 10
10 = -6x
x = -.6
Find the volume of a prism with base area 32 cm2 and height 1.5 cm.
Answer: 48
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
3.5
Step-by-step explanation:
Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:
2^2 + x^2 = 4^2
4 + x^2 = 16
x^2 = 12
x = ± sqrt(12)
x ≈ 3.5
Note: '^' means "to the power of", so '^2' means "squared"
Expand & simplify
4
(
g
+
4
)
−
6
(
g
+
2
)
Answer:
i dont know I have the same questions aswell