Answer:
Two solutions.
Step-by-step explanation:
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
PLEASE HELP!! name the property of equality that the statement illustrates:
if x = y , then -2x = -2y
The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.
How to Identify the Property of Equality?The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.
This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.
In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.
Read more about Property of Equality at: https://brainly.com/question/1601404
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A bowl contains 675 sweets which are coloured either red, blue or green.
The ratio of red sweets to blue sweets is 3:
The ratio of blue sweets to green sweets is 4 : 5
Calculate the number of blue sweets that are in the bowl.
Answer:
252 blue sweets
Step-by-step explanation:
red : blue
3 : 7 ( x4 )
12 : 28
blue : green
4 : 5 ( x7 )
28 : 35
red : blue : green
12 : 28 : 35
12 + 28 + 35 = 75
Blue Sweets:
675 x 28/75 = 252
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.
Answer: 11.9
Step-by-step explanation:
The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.
Answer:
A. 11.9
Step-by-step explanation:
35° = opposite/adjacent
tan(35°) = x/17
tan(35) x 17 = 11.90352814
x = 11.90352814
x = 11.9
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
find the equation of the line.
y=[ ]x+[ ]
Answer:
y = -2x + 5
Step-by-step explanation:
Slope = -2
m = slope
y-intercept = 5
b = 5
y = mx + b
y = -2x + 5
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.
The value of x and y are 5/6 and 8/5 respectively
Given the systems of equations
12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3Solving the equations using the elimination method
12x + 15y = 34
-18x + 15y = 9
Subtract both expressions:
12x-(18x) = 34 - 9
12x+18x = 25
30x = 25
x = 5/6
Substitute x = 5/6 into equation 1 to have:
12x + 15y = 34
12(5/6) + 15y = 34
10 + 15y = 34
15y = 24
y = 8/5
Hence the value of x and y are 5/6 and 8/5 respectively
Learn more on simultaneous equations here: https://brainly.com/question/185757
which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer
Find the inverse of f(x) = 1/2x + 3
Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?
Answer:
more than 23.3 $
Step-by-step explanation:
if we say she will work minimum 4 hours in day that mean it will be 28 hours
so she left 7 hours behind
and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$
Evaluate -5.8-3.1x0.5
Answer:
7.35Step-by-step explanation:
Using DMAS, let's solve.
=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)Conclusion:
Therefore, the answer is:
7.35Hoped this helped.
[tex]GeniusUser[/tex]
[tex]15yx^{2} -34y-16[/tex]
Answer:
15yx^2-34y-16
Step-by-step explanation:
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
will mark brainliest (NO LINKS OR ANSWERS WITHOUT EXPLANATION)
Answer:
6x² -xy -35y²
Step-by-step explanation:
Use the distributive property, and combine terms.
(2x +5y)(3x -7y) -2xy
= 2x(3x -7y) +5y(3x -7y) -2xy
= 6x² -14xy +15xy -35y² -2xy
= 6x² +(-14 +15 -2)xy -35y²
= 6x² -xy -35y²
What is the value of q
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
PLEASEEEE HELPPPP ASAPPPP
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?
It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.
Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:
10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X
Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.
Learn more about quantities in https://brainly.com/question/21477139
Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)
A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored
Answer:Nooo please don’t put B. It’s A,C, and D
Step-by-step explanation:
Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?
Answer:
1/3 of the day
Step-by-step explanation:
8/24 simplifies to 1/3
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
May I please receive help?
Problem 1 (on the left)
Answers:[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]
-------------------------------
Explanation:
The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.
Here are 3 important rules to have in your notes:
[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]
The third rule is probably the most familiar as it's the pythagorean theorem itself.
In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.
=========================================================
Problem 2 (on the right)
Answers:[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]
-------------------------------
Explanation:
We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.
easy one for you folks. show work.
who ate more?
Answer:
Regan ate more
Step-by-step explanation:
maggie: 5/8 of pizza to start
eats 1/4 of 5/8
1/4 times 5/8 gives 5/32
regan: 7/12 of pizza to start
eats 2/3 of 7/12
2/3 times 7/12 gives 14/36 or 7/18
7/18 > 5/32
Answer: Reagan
Step-by-step explanation: because 2/3 is more than 1/4
How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х
Answer:
f(x) = 3 - x.......!!!!
I think so this is the. answer.....!!!
A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?
Answer:
Step-by-step explanation:
14% increase
What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.
Repost* Can someone plz help? :(
Answer:
2.5
Step-by-step explanation:
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Answer:
2.5
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Step-by-step explanation: