Answer:
1. 12
2. [tex]\pi[/tex] or about 3.14
3. 4.5[tex]\pi[/tex] or about 14.13
4. 12 + 5.5[tex]\pi[/tex] or about 29.27
Step-by-step explanation:
1. The rectangle is 6 by 2
6 * 2 = 12
2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14
3. The radius is 3 and it's half of a full circle, so
[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13
4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27
Solve the system of linear equations by elimination.
-3.x – 5y = -7
-4x + 5y = 14
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Answer:
( -1, 2)
Step-by-step explanation:
Since this is asking for elimination, you will need to line up x or y to be the opposite amount:
-3x -5y = -7
-4x + 5y = 14
(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)
Next step is to add both equations up to eliminate y and to find x:
-7x = 7
x = -1
After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.
If you chose to do equation 1:
-3(-1) -5y = -7
3 -5y = -7
-5y = -10
y = 2
If you chose to do equation 2:
-4(-1) + 5y = 14
4 + 5y = 14
5y = 10
y = 2
After finding x and y, you will find the point ( -1, 2)
Expressed answers As reduced fraction. Find the trig value.
Tan A=
Answer:
The value of tan A: 40/9
i.e.
tan A = 40/9
Step-by-step explanation:
Given
Hypotenuse = 41
To determine
m ∠ A = ?
Using the trigonometric ratio
tan A = opposite / adjacent
Here:
Opposite of m ∠ A = 40Adjacent of m ∠ A = 9Thus, substituting opposite = 40 and adjacent = 0 in the equation
tan A = opposite / adjacent
tan A = 40/9
Therefore, the value of tan A: 40/9
i.e.
tan A = 40/9
Pls help and show workings please
Answer:
A. AAS(Angle-Angle-Side)
Step-by-step explanation:
From the image, you can already see 1 angle and 1 side measured.
But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.
So in total, we have 2 angles and 1 side congruent to each other,
<KLJ and <MLN
<LKJ and <LMN
KJ and MN
From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.
Hope I was able to help! Good Luck!
Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?
Step-by-step explanation:
Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.
x + (x + 8) + (x + 13) = 72
Now we can rearrange and solve for x.
3x + 21 = 72
3x = 51
x = 17
A factory produces 80,000 candies each day. They produce equal quauntities of four flavors cherry lemon orange and strawberry. The candies are mixed together during packaging . What is the probabillity that a randomly selected cany is orange
Answer: [tex]\dfrac14[/tex]
Step-by-step explanation:
Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.
Let orange candy= cherry = lemon = strawberry = x
Total candies = x + x + x + x= 4x
The probability that a randomly selected candy is orange = [tex]\dfrac{x}{4x}=\dfrac14[/tex]
Hence, the probability that a randomly selected candy is orange = [tex]\dfrac14[/tex]
Write the equation of a line that passes through (2, 4) with a slope of 2.
Answer:
y=2x is it I think because the y intercept is the origin
Can’t pls help me with this question
Answer:
Let
Total number of people (T)=1600
those satisfied with the car (t) =720
The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100
=> S=(T/t)*100
S=(720/1600)*100
S=45%
Step-by-step explanation:
Simplify: x + (x-y) + y + (y-x )
Answer:
x + y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
x + (x - y) + y + (y - x)
Step 2: Simplify
Combine like terms (x): x - y + y + yCombine like terms (y): x + yWhich of the following expressions is equivalent to the expression 1/9 × 27 ?
Answer:
The answer is 3 :D
pls give brainliest
27*9=3
determine the intercept of the line.
Answer:
Y Intercept : (-3, 0)
X Intercept : (0, -1.2)
2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35
Answer:
d. $13.35
Step-by-step explanation:
subtract
i am so sorry if this is wrong! hope this helps:)
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
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brainly and points! :)
Answer:
[tex]D. k \leq -25[/tex]
Step-by-step explanation:
[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]
Answer:
D. k≤ - 25
Please give me brainliest gunna is the best rapper ever he is better than spottem gottem. spottem gottem sucks
6. Here is an octagon.
3 in
4 in 3 in
→
3 in
a. While estimating the area of the octagon, Lin
reasoned that it must be less than 100 square
inches. Do you agree? Explain your reasoning.
b. Find the exact area of the octagon. Show your
reasoning.
4 in
3 in
Answer:
a). Yes. Area will be less than 100 square in.
b). Area of octagon = 82 in²
Step-by-step explanation:
From the picture attached,
a). Octagon is inscribed in a square having one side = 10 inches.
Since, octagon is obtained by cutting off the four equal corners of the square,
Area of octagon will be less than the area of the square.
Area of square = (side)²
= 10²
= 100 in²
Therefore, area of octagon will be less than 100 in²
b). Since, corner cut off from the square are equal in shape and area,
Area of one corner (right angle triangle) = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(3)[/tex]
= 4.5 in²
Area of 4 corners = 4.5 × 4 = 18 in²
Area of octagon = Area of square - Area of 4 corners removed
= 100 - 18
= 82 in²
Is this correct for number 5 if not please help
Answer:
Yes it is! good job
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
PLEASE HELPPPP
Activity
In this activity, you will create a function from two points that satisfy it.
A linear function passes through the points (-2,3) and (-3,5). Complete the following tasks to find the equation of the function.
Part A
To find the equation, first find the rate of change. What is the rate of change for the linear function that passes through the two points?
Answer: The line representing the function has its y-intercept at 40. So, the initial value of the function graphed is 40.
Step-by-step explanation:
The equation of the line passing through the points (-2,3) and (-3,5) will be 2x + y + 1 = 0 and the rate of change is negative 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A linear function passes through the points (-2,3) and (-3,5). Complete the following tasks to find the equation of the function.
Then the equation of the line passing through the points (-2,3) and (-3,5) will be
[tex]\begin{aligned} y - 5 &= \dfrac{5-3}{-3 + 2} (x + 3)\\\\y - 5 &= -2 (x + 3)\\\\y - 5 &= -2x -6\\\\2x + y + 1 &= 0 \end{aligned}[/tex]
The rate of change is negative 2.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =
TX
XY
TY
Answer:
RT is corresponding to TY
Hence, we conclude that:
RT = TYStep-by-step explanation:
Given
△RST ≅ △TXY
It means the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.
Please check the attached graph.
From the graph, it is clear that:
RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.We need to determine RT
as
RT is corresponding to TY
i.e. RT = TY
Hence, we conclude that:
RT = TYMichelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.
Answer:
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Step-by-Step Explanation:
1 kilometer = 0.62137119 mile(s)
4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers
4,200 meters = 4.2 kilometers
670,000 centimeters = 6.7 kilometers
So,
Michelle = 2.8 kilometers (rounded up)
Kelly = 5.6 kilometers
Staci = 4.2 kilometers
Kyle = 6.7 kilometers
So,
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Hope this helps! ^^
HELP ASAP!! omg someone smart answer the question please i dont get it. ill give brainliest if ur right
Answer:
Length 3
Width 3
Height 4
Step-by-step explanation:
Length x Width x Height
3 x 3 x 4 = 36 cm :)
Answer:
Combinations could include:
2, 3, 6
6, 6, 1
3, 3, 4
4, 9, 1
Please help 10 points
Answer: 14
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE 75 POINTS AND BRAINLIEST TO FIRST ANSWER!!!!
Imagine you work at a cola processing plant doing data entry and produce counts. You are doing an empty can count and come up with 1,000 cans. However, the computer system says there are 10,000 cans. After visually confirming that there are only 1,000, you check to see who last entered the value in the computer and discover it is your boss Ms. Strictlend. After triple checking your count you realize Ms. Strictlend made a mistake.
Write an email to Ms. Strictlend. Address her as you would a professional and explain the problem including the mistake she most likely made. Use as many words as you need to communicate the information without being fired.
Answer:
Step-by-step explanation:
Dear Ms Striclend,
I don’t think you meant to, but you made a mistake putting in the value for the computer system. Can you please explain to me how you made the mistake?
Thanks!
my name
In the diagram (triangle)PRQ~ (Triangle) DEF
FIND m
Answer:
Angle R is equal to 35 and DE is equal to 48
Step-by-step explanation:
In similar triangles, like these, the angles will always be the same to its correspondent. Angle E in the other triangle is 35 degrees so R, its corresponding angle, will be the same. So therefore R is 35.
This is not the same case for sides. There will always be a ratio between both triangles. The ratio in this case is 1.2 to 1. So multiply RP (DE's corresponding side), by 1.2. You will get 48. So therefore DE is equal to 48.
Hope this helped! Please mark me as brainliest!
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
1/5
Step-by-step explanation:
The volume is found by multiplying the height, width, and length. So to find the height, you need to divide 1/100 by 1/4 and 1/5.
1/100 divided by 1/5 = 1/20
1/20 divided by 1/4 = 1/5
Hope this helps :)
Felix bought a new pair of pants for $27.98. If the sales tax is 6%, how much did he spend in total?
Answer:
$29.66
Step-by-step explanation:
6% taxes is 1.68 , 27.98+ 1.68= $29.66
Sales tax:
[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]
[tex]\\ \tt\longmapsto 1.67[/tex]
Total=
27.98+1.67=29.65$3(x+5x-5)
another give away
rate me...
Answer:
18x-15
Step-by-step explanation:
A student has a container with a volume of 1.5 liters. She estimates the volume to be 1.8 liters. By what percent is the students estimate off?
Answer:
20%
Step-by-step explanation:
If your expression contains square roots, during which step of PEMDAS do you solve them?
Answer:
E
Step-by-step explanation:
"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."
A car travels at a constant speed and goes 100 miles in 2.5
ours. How fast is the car travelling in miles per hour?
Answer:
40 miles per hour.
Step-by-step explanation:
100 miles/2.5 hours = 40 miles per hour.
I might be wrong though.
Help me out please and thank you
Answer:
I got B
75+20+85=180
how do i graph the equation y= -4x - 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.
For x=0, ...
y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept
For x=1, ...
y = -4·1 -1 = -5 . . . . the point is (1, -5)
The attached graph shows these points and the line through them.