Answer:
x = 2 sqrt(7)
Step-by-step explanation:
since the right triangles are similar
hyp leg
------ = ---------
leg part
(6+8) x
--------- = ----------
x 2
Using cross products
x^2 = (6+8) *2
x^2 = 28
Take the square root of each side
x = sqrt(28)
x = sqrt(4) sqrt(7)
x = 2 sqrt(7)
Answer:
x= 69420
Step-by-step explanation:
bc it can be
Na Campanha contra fome , foram arrecadados 1480 quilo de açúcar, 1207 kg de açúcar e 678 quilos de feijão. Quantos quilos de mantimento foram arrecadados?E ajudem por favor Não esqueção do cálculo por favor
Answer:
3,365 quilo
Step-by-step explanation:
Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.
Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.
Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos
Can somebody help me with this ? :)
Answer:
B.
Step-by-step explanation:
A = C = 40°
40+40+ 4x = 180
4x = 100
x = 25°
Write a mathematical sentence that expresses the information given below.
Use g as your variable name. If necessary:
type < = to mean <
or > Fito mean >.
The number of gallons of gas that were in the tank plus 13 more adds up to
76 gallons.
Answer:
g + 13 = 76
Step-by-step explanation:
We are told to use the variable "g" for the number of gallons of gas in the tank. When we add 13 to that, we are told the sum is 76. When all numbers are in gallons, this translates to ...
g + 13 = 76
Melanie needs to cut a carpet with two angles that each measure 80° and two angles that each measure 100°. Name the quadrilaterals that could be the shape of the carpet.
Answer:
can be parallelogram as parallelogram has 2 pairs of parallel sides . this means angles of 2 sides will be the same
A student walk 60m on a bearing of 028 degree and then 180m due east. How is she from her starting point, correct to the nearest whole number?
Answer: she is 215m from her starting point
Step-by-step explanation:
The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.
Angle B = 28 + 90 = 118°
To determine AC, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes
AC² = AB² + BC² - 2(AB × BC)CosAC
AC² = 60² + 180² - 2(60 × 180)Cos118
AC² = 3600 + 32400 - 21600Cos118
AC² = 36000 - 21600(-0.46947156)
AC² = 36000 + 10140.59
AC² = 46140.59
AC = √46140.59
AC = 215 m
help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198Answer:
Step-by-step explanation: First, create an equation that represents the repeating decimal that you want to convert to a fraction
x = 2.267267.... (1)
There are 3 repeating decimals, multiply both sides of the equation by 103 = 1000 so that both equations have the same repeating digits to the right of the decimal point
1000x = 2267.267267... (2)
Subtract the equation (1) from equation (2)
1000x
x =
= 2267.267267...
2.267267...
999x = 2265
Solve for the x in the equation to determine the equivalent fraction.
x =
2265
999
Since the greatest common factor of 2265 and 999 is 3, we can simplify the fraction and show the same amount
2265
999
=
2265 ÷ 3
999 ÷ 3
=
755
333
Therefore, 755/333 is simplified fraction of 2.267 repeating. Since this is an improper fraction, converted to mixed number is:
755
333
= 2
89
333
Therefore, 2.267 repeating as a fraction is 755/333 and It is written as 2 89/333 in mixed number form.
Which of the following theorems verifies that ABC~WXY?
Answer:
ABC~WXY by AA
Step-by-step explanation:
In ΔABC
∠B = 90°
∠A = 27°
To Find ∠C
Angle sum property: The sum of all angles of triangle is 180°
∠A+∠B+∠C=180°
27°+90°+∠C=180°
∠C=180°-117°
∠C=63°
In ΔWXY
∠X = 90°
∠Y = 63°
We will use angle sum property
So, ∠W+∠Y+∠X=180°
90°+63°+∠W=180°
∠W=180°-(90°+63°)
∠W=27°
So, ∠A=∠W
∠B =∠X
∠C = ∠Y
So, ABC~WXY by Angle - Angle property.
Hence ABC~WXY by AA
Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a profit of 30% on each laptop and 10 of these laptops at a profit of 15% on each laptop. Bill's target last month was to sell all 50 laptops for a total of at least £25 000. Did Bill reach this target?
Answer:
Yes, in fact Bill exceeded his target by £2,200.
Step-by-step explanation:
Cost of the laptops = 50 x 400
= 20,000
Sold 40 at 30% profit
(40 x 400) x 1.30
= 20,800
Sold 10 at 15% profit
(15 x 400) x 1.15
= 6900
Total sales value
= 20800 + 6900 = 27,700
Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
What are the different aspects of buying and selling goods?Cost Price(C.P.): Price at which the good is bought.Selling Price(S.P.): Price at which the good is sold.Profit: When S.P. > C.P., profit takes place. Profit = S.P. - C.P.Loss: When C.P. > S.P., loss takes place. Loss = C.P. - S.P.Note: Profit and loss are always calculated on C.P.
How do we solve the given question?Bill buys 50 laptops for £400 each.
∴ His C.P. of each laptop = £400.
He sells them in two parts,
Part 1:
He sells 40 laptops at 30% profit on each laptop.
∴ Profit on each laptop = 30% of C.P. = 30% of £400 = £(0.3*400) = £120
∴ S.P. of each laptop = C.P. + Profit = £400 + £120 = £520
Total sales 1 = Number of laptops * S.P. of each = 40*£520 = £20,800.
Part 2:
He sells 10 laptops at 15% profit on each laptop.
∴ Profit on each laptop = 15% of C.P. = 15% of £400 = £(0.15*400) = £60
∴ S.P. of each laptop = C.P. + Profit = £400 + £60 = £460
Total sales 2 = Number of laptops * S.P. of each = 10*£460 = £4,600.
Bill's total sales after both parts = Total sales 1 + Total sales 2
or, Bill's sales = £20,800 + £4,600 = £25,400.
Since Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
Learn more about the different aspects of buying and selling goods at
https://brainly.com/question/19104371
#SPJ2
Please help :( I don’t know this one:/
Answer:
i think is D
Step-by-step explanation:
because 2×7=21
3×21=63
and the parent still going
Answer:
its d
Step-by-step explanation:
its d cuz if you multiply 2 × 7 it will equal to 21
and then when you multily them both youll
get 63 3×21=63
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
this question is roung
Why is angle Q congruent to angle MPN and why is angle N congruent to itself. Thank you!
Answer:
<MPN is congruent to <Q because they both are corresponding angles while <N is self congruent because it is common in the two similar triangles.
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees. Which statement must be true about the diagram? Point K is a midpoint of Line segment J L. mAngleJKN = One-halfmAngleJKM Ray KM is an angle bisector of AngleNKL. JK = One-halfKL
Answer:
Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Step-by-step explanation:
Given that there are 4 lines that are extended from a point K.
Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]
Angle between KN and KM is [tex]61^\circ[/tex] i.e. [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].
Angle between KM and KL is [tex]61^\circ[/tex] i.e. [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]
Please refer to the attached image for the conditions and dimensions of angles given in the question statement.
Now, let us have a look at the options given:
1. Point K is a midpoint of Line segment JL
JL is not a straight line first of all, and secondly there is no condition given about the line segments.
So, it is incorrect.
2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]
[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and
[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]
So, it is also incorrect.
3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.
A truck covers 40 km with an average speed of 80 km/h. It then travels
another 40 km with a speed of 40 km/h. What was the time taken to
complete the entire journey?
Answer: 53.33 km/hr
Step-by-step explanation:
The total distance covered by car is 80 KM(40+40).
Now their are two cases:
Case 1) Distance covered 40km, speed 80km/h. Now we all know speed=Distance/ time
So Time taken is 0.5 hour.
Case 2) Now again distance covered is 40 km but speed is 40Km/h
So time taken is 1 hr
Now total distance traveled is 80KM. Total time taken is 1.5 hrs (0.5+1)
Average speed =Total Distance/Total Time
Average Speed = 80/1.5
Which is equal to 53.33km/h
Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer:
The answer is D on egdge2020
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A -x +0+(- x) = 0−x+0+(−x)=0minus, x, plus, 0, plus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice B) B -x-(-x) =0−x−(−x)=0minus, x, minus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice C) C None of the above
Answer:
(B)-x-(-x) =0
Step-by-step explanation:
Option A
Our equation is: -x +0+(- x) = 0
Left Hand Side:
-x +0+(- x) = -x-x=-2x
[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]
Option B
Our equation is: -x-(-x) =0
Left Hand Side:
-x-(-x) =-x+x=0
[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]
Therefore, the equation in Option B is true.
What is the value of x?
Answer:
x = 55 degrees
Step-by-step explanation:
Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.
=> x = 180-75-50
=> x = 55 degrees
Answer:
55
Step-by-step explanation:
The sum of angles triangles will always be 180
75 + 50 is 135
180-35 = 55
Which of the binomials below is a factor of this trinomial?
6x2 - 6x - 72
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4.
Answer:
C. x - 4
Step-by-step explanation:
The best way to do this is to first take out GCF
6(x² - x - 12)
Then we factor
6(x - 4)(x + 3)
We can now see our answer.
Answer:
6 ( x-4) (x+3)
Step-by-step explanation:
6x^2 - 6x - 72
factor out a 6
6 ( x^2 - x - 12)
What 2 number multiply to -12 and add to -1
-4*3 = -12
-4+3 = -1
6 ( x-4) (x+3)
can someone help please
Answer:
11/8 or, 1 and 3/8
Step-by-step explanation:
First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!
Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)
Hope this helps! :)
help plz i need help
Hey there here is ur answer!
0.24 in percent = 24%
Well all u gotta do is multiply 0.24 or any other decimal number with 100 to represent it in percent.
HOPE IT MAKES UR DAY BRIGHTER!!
If point OR=20 and point PR=5, what is OP(geometry)? please show work
Answer:
The length of OP is 25.
Step-by-step explanation:
The data provided is:
OR = 20
PR = 5
Assume that OR and PR are straight lines.
O_____________________R______P
Compute the length of OP as follows:
OP = OR + PR
= 20 + 5
= 25
Thus, the length of OP is 25.
Which of the following choices is the x intercept of the equation 2y-x=-6
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
[tex]2y-x=-6[/tex]
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
[tex]2y-x=-6[/tex] becomes
[tex]2(0)-x=-6[/tex]
[tex]0-x=-6[/tex]
[tex]-x=-6[/tex]
Multiply both sides by -1
[tex]-1 * -x=-6 * -1[/tex]
[tex]x=-6 * -1[/tex]
[tex]x = 6[/tex]
Hence, the x intercept is 6
Which numbers are the means of the proportion shown below
A. 2 and 30
B 2 and 20
0.3 and 30
D. 3 and 20
Answer:
2 and 30
Step-by-step explanation:
2/3=20/30
2 and 30 means the extremes and 3 and 20 are the means
1. Evaluate (101.5)? - (100.5)
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
In a math quiz, positive marks were given for correct answers and negative marks are given for incorrect answers. If Ankita's scores in five successive rounds were 30, -10, -12, -15 and 20 then find her total score at the end of the quiz.
Answer:
Her final score is 13
Step-by-step explanation:
To find the total score, we would add them all:
=> 30+(-10)+(-12)+(-15)+20
=> 30-10-12-15+20
=> 20-12-15+20
=> 8-15+20
=> -7+20
=> 13
Answer:13
Step-by-step explanation:
Ian drinks 3 \text { pints}3 pints3, start text, space, p, i, n, t, s, end text of water during a long hike. He drinks 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction more \text {cups}cupsstart text, c, u, p, s, end text of water when he gets home.
Answer:
[tex]Total = 7\frac{1}{2} cups[/tex]
Step-by-step explanation:
Given
Initially, he drank 3 pints of water
Then, [tex]1\frac{1}{2}[/tex] more cups
Required
How many cups did Ian drink altogether
This question can be solved by adding the size of water he drank during the hike and when he got home
i.e.
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
But the answer should be in cups;
So, number of pints has to be converted to number cups
Given that 1 pint = 2 cups;
3 pints will be 3 * 2 cups
3 pints = 6 cups;
So,
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]
[tex]Total = 7\frac{1}{2} cups[/tex]
Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water
cereal is on sale for $3.60 for a 9-ounce box. what is the price per ounce?
Answer:
$0.40 per oz
Step-by-step explanation:
given that the cereal is $3.60 for a 9 oz box
i.e
9 oz ----> costs $3.60
1 oz ----> costs $3.60 ÷ 9 = $0.40
hence the unit rate is $0.40 per oz
Answer:
0.40 per ounce
Step-by-step explanation:
The question asks is to find the unit rate, or price per ounce.
To find this, we need to divide the price by the number of ounces.
price/ ounces
It costs $3.60 for 9 ounces of cereal.
$3.60/9 ounces
Divide $3.60 by 9 (3.60/9=0.4)
$0.4/ounce
It costs $0.40 per ounce of cereal.
Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? 1. -15 2. -9 3. 3 4. 9
Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
Answer:
B) -9
Step-by-step explanation:
Please mark as brainlest!!
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Answer:
Yes, because both figures are rectangles and all rectangles are similar (B)
Question:
The complete question related to this found at brainly (question Id: 2996738) is stated below:
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4
b. Yes, because both figures are rectangles and all rectangles are similar.
c. No, because the center of dilation is not at (0, 0).
d. No, because corresponding sides have different slopes
Step-by-step explanation:
Coordinates of rectangle EFGH
E (-4,4), F(4,4), G(-4,0), H (4,0)
EF = 8
FG =4
GH= 8
HE= 4
Coordinates of rectangle ABCD
A (-3,3), B(3,3), C(-3,0), D (3,0)
AB = 6
BC = 3
CD = 6
DA = 3
Find attached the diagram.
Image = EFGH, pre-image = ABCD
Scale factor = (sides of the image)/(sides of the pre-image)
= 8/6 = 4/3
Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.
Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.
Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)
In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reelected with 55 percent of the votes. What is σrhoˆ? .00825 .0166 .0247 .0003
Answer:
Option B is correct.
0.0166 is correct.
Step-by-step explanation:
The σrho is the standard error of the sample proportion and it is given as
σₓ = = √[p(1-p)/n]
where p = sample proportion = 55% = 0.55
n = sample size = 900
σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.
Hope this Helps!!!