Answer: A = 198.6cm²
Step-by-step explanation: The figure includes two semi circles on both ends. These can be solved as a whole circle with a diameter of 10cm because each semi circle is 5cm.
r = 10/2= 5cm
Area of circle:
A = πr²
A = 3.142*5²
A = 3.142*25
A = 78.55
A = 78.6cm²
The remaining section of the shape is a rectangle with a length of 12cm.
To get this, you subtract 10 from 22 because each semi circle is 5cm which adds up to 10cm.
The rectangle has a width of 10cm.
Area of rectangle:
A = lw
A = 12*10 = 120cm²
The total area of the shape:
A = 120 + 78.6
A = 198.6cm²
1. Sam bought a soft drink for four dollars and six candy bars. He spent a total of twenty-two
dollars. How much did each candy bar cost?
Sam bought a candy for 3 dollars.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given that;
Sam bought a soft drink for four dollars and six candy bars.
And, He spent a total of 22 dollars.
Let the cost of each candy = x
So, We can formulate by the given condition,
⇒ $4 + 6x = $22
⇒ 4 + 6x = 22
⇒ 6x = 22 - 4
⇒ 6x = 18
⇒ x = $3
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What is the GCF of 6n-8
Answer:
GCF = 2
Step-by-step explanation:
6n - 8
consider factors of 6 and 8
factors of 6 are 1, 2, 3, 6
factors of 8 are 1, 2, 4, 8
the GCF is 2
\
Answer: 2 is correct
Step-by-step explanation:
A right triangle has legs of lengths 5 and 7. Find the exact length of the hypotenuse. If the answer is not a whole number, leave it in square root form.
Answer:
√74
Step-by-step explanation:
We know the pythagorian triplet that,
A^2 + B^2 = Hypotenuse^2
Or, 5^2 + 7^2 =Hypotenuse ^2
Or, 25+49= Hypotenuse^2
Or, 74 = Hypotenuse^2
Hypotenuse= √74
Hope it helps
Mark me brainliest.
HELP ASAP
A system of equations is
given below.
y=-2x+ 1/4 and y=-2x- 1/4
Which of the following statements best describes the two lines?
1)They have the same slope but different y-intercepts, so they have no solution.
2)They have the same slope but different y-intercepts, so they have one solution.
3)They have different slopes but the same y-intercept, so they have no solution.
4)They have different slopes but the same y-intercept, so they have one solution.
Answer:
Option 1
Step-by-step explanation:
They have the same slope but different y-intercepts, so they have no solution.
Answer: They have the same slope but different y-intercepts, so they have no solution.
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game
reduced?
Answer:
25% decrease
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Solve the equation
2x2+8x -1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ( factor out 2 from the first two terms )
2(x² + 4x) = 1
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )
x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\frac{3}{\sqrt{2} }[/tex]
Then
x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )
x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )
In computer technology, a kilobyte is 2^10 bytes in size. A gigabyte is 2^30 bytes in size. The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. What is the size of a terabyte?
Answer:
The type of a terabyte is 2⁴⁰
Step-by-step explanation:
Given in the question ;
A kilobyte is 2¹⁰ bytes in size.
A gigabyte is 2³⁰ bytes in size.
The size of a terabyte is the product of the two given above.
Apply the laws of indices where you perform product and the base is the same, you add the powers and maintain the base as;
=2¹⁰ ₓ 2³⁰ = 2⁽¹⁰⁺³⁰⁾
=2⁴⁰
the actual height of a drinking cup is 9cm. The height of the cup in a photo taken is 1.5cm. Determine the scale factor of the reduction
Step-by-step explanation:
1.5 cm in the picture is 9 cm in reality.
1.5 × f = 9
f = 9/1.5 = 6
so, the scale factor of the picture is 1/6 of reality.
sin^2 a/2 - sin a/2 + 1/4 = 0
Answer:
a = 60° or π/3
Step-by-step explanation:
Given :-
sin² a/2 - sin a/2 + 1/4
To find :-
a
Solving :-
sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0
sin a/2 - 1/2 = 0
sin a/2 = 1/2
a/2 = 30°
Solution :-
a = 60° or π/3
39 - 12w =7- 16w
iIl give a brainliest
Answer:
w=-8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
39−12w=7−16w
39+−12w=7+−16w
−12w+39=−16w+7
Step 2: Add 16w to both sides.
−12w+39+16w=−16w+7+16w
4w+39=7
Step 3: Subtract 39 from both sides.
4w+39−39=7−39
4w=−32
Step 4: Divide both sides by 4.
4w/4=-32/4
Select the correct answer
Answer: E. (x+5)^2 + (y-5)^2 = 9
Step-by-step explanation:
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
We are given that the center is (-5,5), which means that h = -5 and k = 5.
We are also given that the radius (r) = 3, which means r^2 = 9.
Therefore, the equation should be (x-(-5))^2 + (y-5)^2 = 9.
--> (x+5)^2 + (y-5)^2 = 9
2.
What is the distance between (6,1) and (1,-9)
5
b. V89
c.575
d. 25
Question
Evaluate 4(3+5)-3(6-2) .
Answer:
18 btw all you have to do is distribute
Step-by-step explanation:
12 + 20 - 18 + 4
12 + 2 + 4
12 + 6
18
slope = 1/4;y-intercept =2
Answer:
y=1.4x+2
Step-by-step explanation:
Here is what the graph should look like:
A line with a slope of [tex]\frac{1}{4}[/tex], and a y intercept of 2:
y=1.4x+2
x=0.713y+-1.41
Has y intercept of: 2
Has X intercept of: -1.429
WILL GIVE BRAINLIEST!!!!
Explain what “negative linear” means.
Answer:
If the slope is negative, then there is a negative linear relationship, as one increases the other variable or unknown "number" or wtvr you want to call it decreases. Sorry if this doesnt help im not too good at math.
Step-by-step explanation:
YALL HELP PLEASE PLEASE!!
If C=3m^2 +4m+5 and D =3m +7, find expression that equal 2C +2D in standard form
Answer:
2(3m^2 +4m+5)=2(3m+7)
Step-by-step explanation:
i 4x + 1 = 42
Solve for the x
Answer:
10.25
Step-by-step explanation:
4x+1=42
42-1=41
4x=41/4
x=10.25
Answer:
41/4 or 10.25
Step-by-step explanation:
4x=42‒1
4x=41
4x/4=41/4
x=10.25
i think it is easy &it helps you
what is the range of y= -x2+15
Answer:
( − ∞ , 15 ] , { y | y ≤ 15 }
is the range
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
The probability that we got is 35%
HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS
Answer:
How do you multiply 18 by 5/6? Here we will show you step-by-step how to solve 18 times 5/6, which can be written as follows:
18
x
5
6
Step 1: Setup
First of all, note that 18 is the same as 18/1 since 18 divided by 1 is 18. Therefore, start by setting up the problem like this:
18
1
x
5
6
Step 2: Multiply
Multiply the numerators together (18 x 5 = 90) and multiply the denominators together (1 x 6 = 6) and make it into one fraction like so:
90
6
Step 3: Minimize
The greatest common factor of 90 and 6 is 6. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:
15
1
Step 4: Convert
Convert the improper fraction above to a whole number to get the answer:
15
That's it! Now you know how to calculate 18 times 5/6.
Answer:
15
Step-by-step explanation:
First turn the 18 into a fraction: 18/1
Next put the two fractions into an equation: 5/6 x 18/1 = ?
Then we mutiply the top numbers and the bottom numbers: 90/6
Finally since the fraction is top heavy, we divide to make it eithera lower fraction or a full number: 90/6 = 15
Your final answer will be 15 :)
Have an amazing day!!!
PLEASE RATE AND MARK BRAINLIEST!! :)
18 Which expression is a factored form of 2x2 - 25x + 63?
O (X+9)(2x+7)
O (X - 9)(2x - 7)
O (X+7)(2X+9)
O (X - 7)(2x - 9)
The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)
How to factorise an expression2x² - 25x + 63
check all that apply
O (X+9)(2x+7)
= 2x² + 7x + 18x + 63
= 2x² + 25x + 63
False
O (X - 9)(2x - 7)
= 2x² - 7x - 18x + 63
= 2x² - 25x + 63
True
O (X+7)(2X+9)
= 2x² + 9x + 14x + 63
= 2x² + 23x + 63
False
O (X - 7)(2x - 9)
= 2x² - 9x - 14x + 63
= 2x2 - 23x + 63
False
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FInd the area of the polygon
pls help
Answer:
202.5mm^2
Step-by-step explanation:
15x9= 135mm^2 (area of rectangle)
15-9=6
9÷2= 4.5
4.5x15= 67.5mm^2 (area of triangle)
135+67.5= 202.5mm^2 (total area)
answer is 202.5mm^2
Simplify the expression
2(5 + 2x)
HeLpP
Answer:
the simplest form of this expression is 10+4x
The weekly budget for a youth club is $22 000
The youth club plan to spend 27% of the budget
on a sports programme.
How much money is this?
Answer:
$5,940
Step-by-step explanation:
x/22 000 = 27/100
(part/whole)=(%/100)
(x)(100)=(22)(22 000)
Butterfly Method
100x=594 000
Divide by 100 on both sides to get x
x=5940
Jenna received the following scores on five history tests. 69 70 85 97 97 Suppose Jenna receives a score of 69 on her next test. How does the median change? Please tell me I need the answer
Answer: The median changes from 83.6 to 81.2
Step-by-step explanation:
69+70+85+97+97= 418/5 = 83.6
69+70+85+97+97+69 = 487/6 = 81.2
What is the rate of change for the graph shown below?
4
-
3
3
-
4
4
- <--- negative
3
3
- <----- negative
4
Answer:
-3/4
Step-by-step explanation:
the rate of change is the slope of the line
7-3/0-(-4) = -3/4
Based on her results, what is the probability that a student randomly picked in her class chose action or animated?
Based on her results, what is the probability that a student randomly picked in her class chose action or animated?
1/2
1/14
1/7
9/14
The answer is "C" -- 1/7
Step-by-step explanation:
Because 4 of the 28 kids in her class chose animated and 4/28 simplified is 1/7.
Qu
What is the slope of y = 52 – 1?
Answer:
Is it 0 ? im not sure
Step-by-step explanation:
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
81°
Step-by-step explanation:
Both are vertical to one another. Vertical angles usually have the same degree.
Answer:
81 degrees
Step-by-step explanation:
because the two lines are straight, and we know that the angles opposite to each other are identical, and since FHC is equal to EHD, its size must also be equal.
can I get a answer within 10 min becoz it's very urgent
Answer:
4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)
Step-by-step explanation: