Answer:
3 x 4= 12 (cm) . it is so easy
Consider statements in the table shown. Select True or False for each statement about the sequences of transformations that can
verify that square ABCD is congruent to square A'B'C'D'.
True False
Square ABCD is translated 9 units to the right, followed by a translation 6 units down.
Square ABCD is reflected across the y-axis, followed by a translation 6 units down.
Square ABCD is translated 6 units down, followed by a translation 9 units to the right.
Answers:
TrueFalseTrue==========================================================
Explanation:
Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation
[tex](x,y) \to (x+9,y-6)[/tex]
We add 9 to the x coordinate and subtract 6 from the y coordinate.
So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.
Therefore, statement 1 is true.
Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.
-----------------------------------------------
Statement 2 on the other hand is false
Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).
If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.
To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).
If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.
Answer:
True
False
True
Step-by-step explanation:
14. A truck has a maximum load limit of 5000 gallons. Can it safely carry 600 bushels
of canola?
Answer:
It won't carry it safely
Step-by-step explanation:
truck capacity ? load value
5000 gallons ? 600 bushels
5000 gallons < 5585 gallons
600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity
What is the value of the expression
3.6x10"
1.2x10
O 2.4 x 105
03.0 x 1011
O 3.0 x 105
2.4 104
Please help
Answer:
[tex]{ \tt{ \frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } }} \\ = { \tt{ \frac{3.6}{1.2} \times \frac{ {10}^{8} }{ {10}^{3} } }} \\ = 3 \times {10}^{5 } \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
¿cual es el porcentaje de ganancia de un comerciante que vende a $4600 un producto que compró a $4000? (con operatorias) (soy de séptimo)
Given:
Selling price (S.P.)= $4,600
Cost price (C.P.)= $4,000
To find:
The profit percentage.
Solution:
Formula used:
[tex]\text{Profit}\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
Using this formula, we get
[tex]\text{Profit}\%=\dfrac{4600-4000}{4000}\times 100[/tex]
[tex]\text{Profit}\%=\dfrac{600}{40}[/tex]
[tex]\text{Profit}\%=15[/tex]
Therefore, the profit percentage is 15%.
a book seller sold a book for $100 and thereby gains $20. Find his gain per cent a) 20% b) 25% c)40% d) none of the above. plz i need help asap
Answer:
a.20%
Step-by-step explanation:
because of the book is 100$ and the thereby sold it and gained 20$ equals to 20%
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm
• 6 cm and 7 cm
O 7 cm and 2 cm
•
8 cm and 9 cm
Answer:
7 cm and 2 cm
Step-by-step explanatio
help please 30 points and brainllest to the one who answers first
Answer:
75 grams
Step-by-step explanation:
We need to write a ratio to solve
12 grams pro 9 grams pro
----------------- = -------------------
100 grams cereal x grams cereal
Using cross products
12x = 100 *9
12x = 900
Divide by 12
12x/12 = 900/12
x =75
Answer:
75 grams of cereal will give 9 grams protein.
Step-by-step explanation:
Given :-
12 grams of protein in 100 grams of cereal.5 grams of protein in 45 grams of cereal.To Find :-
How many grams of cereals will give you 9 grams of protein.Solution :-
Let grams of will give you 9 grams of protein = x
To solve it, we need to write it in ratios
12 grams protein = 100 grams cereal
9 grams protein = x grams cereal
Using cross multiplication method
12 × x =9 × 100
12 x = 900
Divide each side by 12
12 x / 12 = 900/12
x = 75
1/9 (2m - 16) = 1/3 (2m + 4)
Answer:
[tex]m=7\frac{5}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]
[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]
[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]
[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]
[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]
[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]
[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]
[tex]m=7\frac{5}{16}[/tex]
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
-3, -13, -23, -33, -43
Step-by-step explanation:
An atithmetic sequence has a common difference between each term
in -3, -13, -23, -33, -43
the difference between terms is a constant -10
Which of the following expressions is equivalent to the one shown below?
(-5• 4)^3
Arithmetic
Bring all numbers in the parentheses to the third power.
[tex]( { - 5}^{3} \times {4}^{3} )[/tex]
It is easier to not simplify the numbers.
[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]
Don't add the exponents, and multiply the numbers.
The expression (–5 × 4)³ is equivalent to the expression –8000.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (–5 × 4)³
Simplify the expression, we have
⇒ (–5 × 4)³
⇒ (–20)³
⇒ –20³
⇒ –8000
More about the equivalent link is given below.
https://brainly.com/question/889935
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Someone please help me thank you
Answer:
[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
Ensure that the equation is in the form of ax² +bx +c= 0.
5x² -x +1= 3
5x² -x +1 -3= 0 (-3 on both sides)
5x² -x -2=0
Here, a= 5, b= -1, c= -2.
Use the quadratic formula below to solve for x.
[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]
[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]
[tex]x = \frac{1± \sqrt{41} }{10} [/tex]
[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number. An imaginary number is basically where we accept that there exists an i (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex] (square root of negative 1). So we are not considering this concept in this question.
Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared. If you said the quadratic formula, then you are perfectly correct!
Remember in order to use the quadratic formula, you must get your equation into the form:
[tex]ax^{2} +bx +c=0[/tex]
Let's do it! Right now we have:
[tex]5x^{2} - x +1=3[/tex]
Get rid of the 3 by subtracting it from both sides:
[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]
Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:
[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]
Let's get out our quadratic formula now:
[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):
[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]
[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]
Removing the plus/minus we get two answers:
[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]
These are the most simplified forms! It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!
Find the diameter of a circle with a radius of 13 ft.
Answer:
diameter will be 26ft that's D
What answer to this question?
Answer:
221
Step-by-step explanation:
13 x 17 = 221
Can someone please help with this asap its worth a lot of points. (: .
Write the radio 1:3:6 in a percentage
Answer:
150%
Step-by-step explanation:
Answer:
100 percent is the answer
Question 3 of 10 What is the slope of the line shown below? C O A. 5 5 (3,7) B. 2 O D.-2
Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2
Answer:
B. 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinate (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-2, -3)
Point (3, 7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{7--3}{3--2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{10}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 2[/tex]For two odd consecutive numbers, seven times the first number is 1 more than six times the greater number. What is the sum of those numbers?
9514 1404 393
Answer:
28
Step-by-step explanation:
Let x represent the even number between them. Then the desired sum is 2x.
The given relation is ...
7(x -1) = 1 +6(x +1)
x = 14 . . . . . . . add 7-6x
2x = 28 = sum of those numbers
__
The two numbers are 13 and 15.
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)
∘
and m\angle B=(6x+17)
∘
, then find the value of x.
Answer:
x=25
Step-by-step explanation:
We know vertical angles are equal
<A = <B
7x-8 = 6x+17
Subtract 6x from each side
7x-6x-8 = 6x-6x+17
x-8 = 17
Add 8 to each side
x-8+8 = 17+8
x=25
pls help me solve for length XY pls show how you got the answer
Answer:
XY = 4.75 cm
Step-by-step explanation:
Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is
[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values
[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )
5 XY = 23.75 ( divide both sides by 5 )
XY = 4.75 cm
Please help me it’s so important :(((
Answer:
C, D and F are true
Step-by-step explanation:
The DCB triangle is isosceles, so it means the angles D and B are the same and as the angle C is 90°, B and C need to be 45° (because the sum of the internal angles of a triangle is always 180°). The sin(B) = sin(C) = sqrt2/2 and the tan(B) = tan(C) = 1
David has a wooden board that is 6 feet long. How many pieces can be cut from the board if the length of each piece is 13 of a foot?
Answer:
We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:
6 ÷ ¼.
Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:
6 * 4
Solve that, and you'll have your answer.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
What is the solution of x2 − 10x + 25 = 81?
x = −14 or x = −4
x = 14 or x = −4
x = 14 or x = 4
x = −14 or x = 4
Answer:
x = −14 or x = −4
Step-by-step explanation:
Answer:
wait
Step-by-step explanation:
= 1 4
= − 4
Find the value of cos
C rounded to the nearest hundredth, if necessary.
Answer:
cos C= 15/39
Step-by-step explanation:
The value of cos C rounded to the nearest hundredth is 0.38.
What is a cosine of an angle?
In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
What is Pythagoras theorem?Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".
According to the given question
We have a right angled triangle ABC, in which right angle is at B.
Also,
BC = 15
AB = 36
[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex] (By Pythagoras theorem)
⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]
⇒[tex]AC = \sqrt{1521}[/tex]
⇒AC = 39
⇒ Hypotenuse of triangle ABC is 39.
Now, the adjacent side w.r.t ∠C is BC
Therefore, the cosine of an angle C is given by
[tex]cosC=\frac{BC}{AC}[/tex]
⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]
⇒[tex]cosC =0.38[/tex]
Hence, the value of cos C rounded to the nearest hundredth is 0.38.
Learn more about the cosine of an angle here:
https://brainly.com/question/9932656
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The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Can anyone help with Qs 22-25 pls !!
Or the ones you are able to do
24) IN A PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL
3y + 2 = 62
3y = 62 - 2
3y = 60
y = 60/3
y = 20°
ALSO IN A PARALLELOGRAM ADJACENT SIDES SUM IS 180°
62 + 5x + 3 = 180°
5x + 65 = 180
5x = 180 - 65
5x = 115
x = 115/5
x = 23°
so option c is correct
.
.
.
25) IN A PARALLELOGRAM THE SIDES OF SAME DIAGONAL ARE EQUAL
5x - 4 = 10x - 24
5x - 10x = -24 + 4
-5x = -20
x = 20/5
x = 4
4x + 14 = 3y + 9
4(4) + 14 = 3y + 9
16 + 14 = 3y + 9
30 = 3y + 9
3y = 30 - 9
3y = 21
y = 21/3
y = 7
.
.
.
so option b is correct
I KNEW ONLY THESE BOTH QUESTIONS
What is the 6th term of the geometric sequence?
3,6, 12, 24, ...
A. 36
B. 27
C. 48
O D. 96
Answer:
96 is the 6th term of the geometric sequence
Step-by-step explanation:
The sequence is just adding the number twice to get the nect sequence.
So,
3+3 = 6
6+6 = 12
12+12 = 24
24+24 = 48
48+48 = 96 this is the 6th term
Hope this is helpful
need help on this please giving brainlest! :)
Answer:
a) (-4, 5)
b) (4, -5)
Step-by-step explanation:
Just reverse the signs or use desmos as a better example.
Answer:(4,-5) and (-4,5)
Step-by-step explanation: anything reflected from the x or y axis is the postive version which is -4 has an absolute value of 4
I need a fast answer to (4x) + (3x -8) = 90 for vertical angles.
Answer:
x = 14
4x = 56
3x - 8 = 34
Step-by-step explanation:
(4x) + (3x -8) = 90
7x + (-8) = 90
7x - 8 = 90
7x (- 8 + 8) = 90 + 8
7x = 98
7x/7 = 98/7
x = 14
4 x 14 = 56
3 x 14 = 42 - 8 = 34
56 + 34 = 90
Find the value of x ?
Answer:
7x-1+2x-1=7
9x-2=7
9x=7+2
9x=9
÷9
x=1
I’ll mark the brainliest
The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).
This means any speed below 48.99 miles per hour would stop before hitting the tree.
The fastest the car can go would be 48.98 miles per hour.
Justify by replacing s in the equation with 48.98 and solve for d:
48.98 ^2 = (sqrt( 30(0.8)d)
2399.04 = 24d
D = 2399.04/24
D = 99.96 feet
This is less than 100 feet so the car will not hit the tree.