Q14
4
x + 9
The area of this shape is 75cm2
Find the perimeter of the shape.
x + 3
2x + 5
Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
Solve 4x + 2 = 20 klkllk
Answer:
x = 4.5
Step-by-step explanation:
First, we can subtract 2 from 20 (20 - 2) to get 18.
Now we know that x has to be multiplied by 4 and have a product of 18.
We can divide 18 by 4 to figure out what x is.
18 ÷ 4 = 4.5
We can check our answer by solving the equation:
4(4.5) + 2 = 20
18 + 2 = 20
20 = 20
(sorry if this is confusing but I hope it helped)
What is the solution to the equation?
3 x – 1 = 8
Please help
Answer:
Step-by-step explanation:
Here you go mate
Step 1
3x-1=8 Equation/Question
Step 2
3x-1=8 Simplify
3x-1=8
Step 3
3x-1=8 Add 1 to sides
3x=9
Step 4
3x=9 Divide sides by 3
answer
x=3
Hope this helps
Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?
they both would have 24
they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score
7 of 8
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle.
С
D
(60 - a)
(3a + 8) (4a - 38)
A
B
The diagram is not drawn to scale.
Answer:
D just got it on edg
Step-by-step explanation:
Please help me! 30 points!
Which operation should you perform last in the expression 12 × 42?
plz help me I will give brainliest.
Answer:
Step-by-step explanation:
First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.
which two numbers have a product of 24 and sum of 11
Answer:
The numbers 3 and 8 and be multiply and get 24. They can also be added to get 11.
What is the equation of this trend line? Please help ASAP!
Answer:8+2x
Step-by-step explanation:
Ricky's football team scored only 15 times this season.
Every touchdown gave them 7 points (they missed no extra
points) and each field-goal gave them 3 points. They scored 77
points (total) this season.
TRUE OR FALSE:
Answer:
False 15 times 7= 105
Select all the expressions that are equivalent to 9 + 7x - 3y.
[Choice A) 9 + 7x - 3y
(Choice B] 9 - 7x - 3y
(Choice C) 9 - 7x + 3y
(Choice D) 9 + 7x + (-3y)
(Choice E) 9 - (-7)x - 3y
Answer: its E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
Help meeeee pls class ends in an hour
117
Step-by-step explanation:
(x+3) is 13 because x is 10 so 10+3 is 13 and then 9 so 13×9 is 117
help pls factory this step by step ײ+x(x+1)(x+2)+(1+x)
Answer:
ײ+x(x+1)(x+2)+(1+x) = x²+(x+1)³
Step-by-step explanation:
ײ+x(x+1)(x+2)+(1+x) ...look that: 1+x=(x+1)
=x²+x(x+1)(x+2)+(x+1)
=x²+(x+1)(x²+2x+1)
=x²+(x+1)³
Note that:
x²+2x+1=(x+1)*(x+1)
Students in North America observe this wind vane at these times during the day in order to predict the weather
Which prediction can the students make based on their observations?
O A will be warmer the next day.
OB. There is likely to be a tomado soon.
OC.There is a cold front coming from the North.
OD.There is a warm front coming from the South.
Answer:
c
Step-by-step explanation:
Find the perimeter and area of a rectangle with length (6) and width (x + 2).
Answer:
The perimeter of a rectangle is: P = 2x+16
The area of a rectangle is: A = 6x+12.
Step-by-step explanation:
Given
The length of a rectangle = l = 6
The width of a rectangle = w = (x+2)
To determine
The perimeter of a rectangle = P
The area of a rectangle = A
Determining the Perimeter of a rectangle
The perimeter of a rectangle can be determined using the formula
P = 2(l+w)
substitute l = 6 and w = (x+2)
P = 2(6+x+2)
P = 2(8+x)
P = 2x+16
Therefore, the perimeter of a rectangle is: P = 2x+16
Determining the Area of a rectangle
The Area of a rectangle can be determined using the formula
A = lw
substitute l = 6 and w = (x+2)
A = (6)(x+2)
A = 6x+12
Therefore, the area of a rectangle is: A = 6x+12.
What is the exact value of sin(105°)?
ANSWER - D) sqrt(2 + sqrt3)/2
Answer:
[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]
Step-by-step explanation:
We can use the following trigonometrical identity:
[tex]\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta[/tex] (1)
Where [tex]\alpha[/tex], [tex]\beta[/tex] are angles, measured in sexagesimal degrees.
If we know that [tex]\alpha = 135^{\circ}[/tex] and [tex]\beta = 30^{\circ}[/tex], then the value of the given function is:
[tex]\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}[/tex]
[tex]\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}[/tex]
[tex]\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }[/tex]
[tex]\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]
Answer: D) sqrt(2 + sqrt3)/2
Step-by-step explanation: Nah
An ulcer patient is taking Mylanta from a 36-ounce (oz) bottle. If he takes 3/4 oz qoh(every other hour) from beginning at 6 am and ending with a final dose at 10 pm how many days would a bottle last
Answer:
6 days
Step-by-step explanation:
patient takes eight doses daily; each dose consists of 3/4 oz.
8 x 3/4 = 6 oz daily
therefore, 36 oz bottle would last 6 days
What is the radius of this button
HELP ME PLEASE
A) Translation: 1 unit left and 1 unit down
B) Translation: 1 unit right and 1 unit up
C) Translation: 3 unit right
D) Translation: 4 unit right and 1 unit up
9514 1404 393
Answer:
B) Translation: 1 unit right and 1 unit up
Step-by-step explanation:
The points marked with a "prime" (X') are the ones that result from the transformation. Each of those is 1 unit up and 1 unit right of the corresponding "un-primed" point (X).
The transformation to get from preimage WXYZ to image W'X'Y'Z' is ...
B) Translation: 1 unit right and 1 unit up
Which value can be filled into the blank to make a true equation?
a + b + c – __ = a + c
Answer:
b
Step-by-step explanation:
a + b + c - b = a + c
Please help. I need help with 3 questions! -3-||
1. Reese bought 3 tickets for $75. At this rate, how much did she pay per ticket?
2. A china shop receives a shipment of 140 dishes in 5 boxes. At this rate, how many dishes will it receive per box?
3. There are 210 students in the 10 classes of East Middle School. At this rate, how many students are in each class?
Answer:
question 1: 25
question 2: 28
question 3: 21
Step-by-step explanation:
hope this helps!
have a great day!
Answer:
1.Zapłaciła 25 dolarów.
2.28
3.21
Step-by-step explanation:
Write the equation of the line that passes through the points (3,5) and (-1,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is
[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]
[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]
[tex]y-5=1(x-3)[/tex]
Therefore, the point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.
A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x
dollars and x - 72.6 = 11. What operation does the grandson need to use to find how much money
they can spend?
Answer:
Addition, 83.6
Step-by-step explanation:
x - 72.6 = 11, x = 83.6
The grandson must add 72.6 to both sides to solve for x.
— 4x — Зу = = 9
5х = 15
Help me now
Answer:
y=-7
x=3
Step-by-step explanation:
I just used a calculator. Hope this helps. :)
What is the answer to question 1 written as an ordered pair? (5, $5.25)
(5, $11.25)
($5.25,5)
($11.25, 5)
At dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. "What would be the total amount if the meal cost $80?" *
Answer:
$86.8
Step-by-step explanation:
Step one:
Given data
At dinner, the meal cost $22 and a sales tax of $1.87
let us find what percent $1.87 to the cost of the meal
= 1.87/22*100
=0.085*100
=8.5%
Hence the sale tax is 8.5%
Step two:
if the cost is now $80
the sale tax will cost
=8.5/100*80
=0.085*80
=$6.8
The total will be
=80+6.8
=$86.8
Box A contained 1.67 kilograms of flour. Box B contained 8.6 kilograms of flour. Mr. Smith used all the flour from both boxes to bake some cakes. How much flour did he use in all?
Answer:
Mr. Smith used 10.27 kilograms of flour in total.
Step-by-step explanation:
answer this i will give you brainliest 50 points
Answer:
Step-by-step explanation:
Answer:
it says 22 points not 50 so im not answering correctly
Step-by-step explanation:
sorry but that's how the cookie crumbles
I need you someone to solve this and show their work. Tell me why the answer is 4.
Answer:
x = 4
Step-by-step explanation:
You begin by making what is inside the brackets = 0. In other words you will somehow get 0 * brackets + 3 = 3
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4. When you make x = 4, the inside of the brackets = 0
1/2 * 0 = 0
So you are left with
3 = 0 + 3
and x has been made = 4
Do what's in the brackets before anything else.
Boden's account has a principal of $800 and a simple interest rate of 3.3%.
How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer: 800 x 1.033^4 = 910.94 (result is rounded)
Step-by-step explanation: