Answer:the answer is D
Step-by-step explanation:
10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is
Answer:
2/5
Step-by-step explanation:
First, we can draw the rectangle out, as shown. The length is twice the width, and the diagonal, y, cuts across the rectangle. This forms a right triangle, and using the Pythagorean Theorem, we can say that
y² = x² + (2x)²
y² = x² + 4x²
y² = 5x²
square root both sides
y=√(5x²)
The diagonal, or y, is equal to √(5x²). This is equal to one side of the square
The area for the rectangle, which we need to find for the ratio, is length * width = x * 2x = 2x²
The area for the square, which we also need to find for the ratio, is (side length)² = √(5x²) = 5x²
The ratio for the area of the rectangle to the area of the square is therefore 2x²/5x² = 2/5 (crossing out the x² in both the numerator and the denominator). We know to put the rectangle on top because of the specific wording of "the ratio of the area of the rectangle to..."
WILL GIVE BRAINLISEST!
The polygons are similar. Find the missing side length. Note, the shapes are not oriented the same way.
If polygons are similar ratio if sides will be same
[tex]\\ \sf\longmapsto \frac{x}{50} = \frac{48}{40} \\ \\ \sf\longmapsto 40x = 48 \times 50 \\ \\ \sf\longmapsto x = \frac{48 \times 50}{40} \\ \\ \sf\longmapsto x = \frac{2400}{40} \\ \\ \sf\longmapsto x = 60[/tex]
Three persons had dinner in a restaurant. The total bill came to $51.60.
The tip left by them was 25% and was divided equally among them. What was the tip per head
Answer:
Each person tipped $4.30.
Step-by-step explanation:
We know that the total bill was $51.60. The three people paid a 25% tip, which was split evenly among them.
Since the tip is 25%, it will be 25% of the total. Hence:
[tex]0.25(51.6) = \$ 12.9[/tex]
The total tip is $12.9.
And since it was evenly split among three people, each person tipped:
[tex]\displaystyle \frac{12.9}{3}=\$ 4.30[/tex]
Each person tipped $4.30.
Multiply the binomials:
(y+7)•(y+3)
Answer:
y^2 +10y+21
Step-by-step explanation:
(y+7)•(y+3)
FOIL
first: y*y = y^2
outer: 3*y = 3y
inner 7*y = 7y
last 7*3 =21
Add together
y^2 +3y +7y +21
Combine like terms
y^2 +10y+21
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex](y+7).(y+3)\\\\y(y+3)+7(y+3)\\\\y^2+3y+7y+21\\\\\pmb{\red{\boxed{y^2+10y+21}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
10 fracciones que generen decimales exactos 10 fracciones que generen decimales inexactos puros y 10 fraccionarios que generen decimales periódicos mixtos
Answer:
Un número decimal exacto es algo de la forma:
3.27
Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.
Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)
así obtenemos:
3.27*(100)/(100) = 327/100
Entonces la fracción 327/100 genera un decimal exacto.
Así, encontrar 10 fracciones es trivial, 10 ejemplos son:
7/10 = 0.7
314/100 = 3.14
27/10 = 2.7
27/100 = 0.27
2/10 = 0.2
25/100 = 0.25
31/10 = 3.1
12/10 = 6/5 = 1.2
131/10 = 13.1
142/100 = 1.42
Ahora, un decimal inexacto puro es algo de la forma:
3.33...
donde el 3 se repite infinitamente.
Tratemos de reescribir este número como una fracción:
primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:
3.33*10 = 33.33...
Ahora, podemos restar el numero original:
33.333... - 3.333... = 30
Entonces tenemos que:
3.33*9 = 30
3.33 = 30/9
La fracción:
30/9 nos da in decimal inexacto puro.
Ahora que sabemos construirlas, 10 ejemplos pueden ser:
30/9 = 3.33....
1/3 = 0.33...
40/9 = 4.44...
50/9 = 5.55...
60/9 = 6.66...
70/9 = 7.77...
20/9 = 2.22...
55/9 = 6.11...
544/99 = 5.5959...
10/9 = 1.11...
Finalmente, un periódico mixto es algo de la forma:
1.2343434...
Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.
Para construirlos, podemos tomar una fracción exacta, como
1.1 y una periódica, como 1.11...
Si las sumamos, obtenemos:
1.1 + 1.11... = 2.211...
donde el uno se repetirá infinitamente.
Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:
7/10 + 55/9 = 613/90 = 0.7 + 6.11... = 6.8111....
7/10 + 10/9 = 163/90 = 0.7 + 1.11... = 1.811....
31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...
31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...
31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...
27/10 + 20/9 = 443/90 = 2.7 + 2.22... = 4.922...
37/10 + 20/9 = 533/90 = 3.7 + 2.22... = 5.922...
4/10 + 10/9 = 136/90 = 0.4 + 1.11... = 1.511....
3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...
4/10 + 20/9 = 236/90 = 0.4 + 2.22... = 2.622....
what's is the value of x?
Answer:
40°
Step-by-step explanation:
The measure of the right angle is 90°.
The measures of the angles 10° and 2x add up to the measure of the right angle.
2x + 10° = 90°
2x = 80°
x = 40°
Find the missing segment
Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you)
Answer:
The answer is -13.
Step-by-step explanation:
The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.
So the 7th term will be a+6d= -1 ---(1)
The 16th term will a+15d=17 ---(2)
Subtract (2) and (1)
a+15d-(a+6d)=17-(-1)
=a+15d-a-6d=17+1
9d=18
d=18/9
d=2.
Substitute d in eq (1)
a+6(2)= -1
a+12=-1
a= -1-12= -13
Thus the general term of the ap is -13
The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the second number is 97 find the numbers
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
I need help on this please. I've been stuck on it for a half an hour!!
Answer:
20%
Step-by-step explanation:
4 + 6 + 2 + 2 = 14
3 + 4 + 6 + 3 = 16
14 + 16 = 30
6/30 = 0.2
What is the value of the expression below when 4x=4? 2
x
2
+
x
−
5
2x
2
+x−5
Plzzz help!!
Answer:
I dont understand the problem because of the way its written out but I believe that the value of x itself is 1.
x=1
Step-by-step explanation:
1 x 4 = 4
(hope it helps a bit)
If somebody can give me the answer!!!
Please I need help
Answer:
Its B
Step-by-step explanation:
You're correct
(x^2 + 5x + 2) – (5x^2 – x – 2) =
Answer:
[tex]{ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}[/tex]
The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
produce F"G"H". what are the coordinates of vertex F" of F"G"H"?
Answer:
Step-by-step explanation:
Given rule for the multiple translations is,
[tex]T_{5,-0.5}.R_{0.180^{\circ}}(x,y)[/tex]
Apply the rule [tex]R_{0,180^{\circ}}[/tex] first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,
[tex]T_{5,-0.5}[/tex]
(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
Find the length of the diagonal of a rectangular football pitch with sides 42.9 m and 78.4 m.
Give your answer rounded to 1 DP.
Answer:
triganometry is mathematics
Help help help help help help help help help help help help help help
Answer:
[tex]118 cm^2[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Side rectangles(2):
7*5=35
Multiply by 2
35*2= 70 cm
Middle rectangle:
4*7= 28 cm
Triangles(2):
[tex]4*5*\frac{1}{2} =10 cm[/tex]
Multiply by 2
10*2= 20 cm
Total:
Add.
70+28+20= 118 cm2
Carter wants to know if warming up will help runners sprint faster. Thirty track and field athletes volunteered to participate in his study. He randomly assigns 15 athletes to warm-up for 10 minutes. All 30 participants sprint the same distance. He calculates the mean for each group and determines that the mean for the warm-up group was 10.7 seconds, and the mean for the other group was 13.2 seconds. To test the difference of means he re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Carter conclude from his study?
Answer:
The difference throughout the means isn't significant because a difference of 2.5 isn't very likely. A further explanation is provided below.
Step-by-step explanation:
Given:
The mean time of warm up group,
= 13.2
The mean time of non warm up group,
= 10.7
Now,
The mean difference will be:
= [tex]The \ mean \ time \ of \ warm \ up \ group - The \ mean \ time \ of \ non \ warm \ up \ group[/tex]
By substituting the values, we get
= [tex]13.2-10.7[/tex]
= [tex]2.5[/tex]
Thus the above is the appropriate response.
Answer:
C. The difference in the means is significant because a difference of 2.5 is not very likely.
Flvs mod 8 pt.1 100%
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
-1/4
Step-by-step explanation:
Pick two points on the line
(-4,3) and (4,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 1-3)/(4 - -4)
= (1-3)/(4+4)
= -2/8
= -1/4
if p is the smallest prime factor of 511, then
a. 18 ≤ p ≤ 23
b. 10 ≤ p ≤ 17
c. 3 ≤ p ≤ 9
d. none of these
Answer:
C. [tex]3 \le p \le 9[/tex]
Step-by-step explanation:
The prime factor decomposition of 511 is [tex]7\times 73[/tex], where 7 is the smallest prime factor. Hence, the correct answer is C.
El periodo de un movimiento circular uniforme es de
8 segundos. ¿Cuál es su velocidad angular?
Answer: I dont understand what your saying im sorry, I'd really like to help but I cant :(
helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!
Answer:
[tex]\boxed{\sf sin\ C =\frac{40}{41}}[/tex]
Step-by-step explanation:
We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .
We know that the ratio of sine is perpendicular to hypontenuse .
[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]
Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}[/tex]
Hence the required answer is 40/41.
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9
4. If 2 Cos A-1 = 0, then the value acute value A is
Answer:
[tex]A=60^{\circ}[/tex]
Step-by-step explanation:
Given [tex]2\cos A-1=0[/tex],
Add 1 to both sides:
[tex]2\cos A=1[/tex]
Divide both sides by 2:
[tex]\cos A=\frac{1}{2}[/tex]
Take the inverse cosine of each side (note that the question stipulates that A is acute):
[tex]\arccos(\cos A)=\arccos(\frac{1}{2})[/tex]
[tex]A=\arccos(\frac{1}{2}), A\in (0^{\circ}, 90^{\circ}),\\A=\boxed{60^{\circ}}[/tex]
Faith invested $350 in an account paying an interest rate of 4 5/8% compounded monthly. Kevin invested $350 in an account paying an interest rate of 4 7/8% compounded continuously. To the nearest hundredth of a year, how much longer would it take for Faith's money to double than for Kevin's money to double?
Answer:
It would take 0.8 years longer for Faith's money to double than for Kevin's money to double.
Step-by-step explanation:
We are to find the time it would take for each person's money to double and we would be making use of compound interest formula to solve for this
For Faith
Faith invested $350 in an account paying an interest rate of 4 5/8% compounded monthly.
Double $350 = $700
Interest rate = 4 5/8%
= 4.625%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.625/100
r = 0.04625 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(700.00/350.00) / ( 12 × [ln(1 + 0.04625/12)] )
t = ln(700.00/350.00) / ( 12 × [ln(1 + 0.003854167)] )
t = 15.016 years
Therefore, it would take 15.016 years for Faith's money to double
For Kelvin
Double $350 = $700
Kevin invested $350 in an account paying an interest rate of 4 7/8% compounded continuously.
Interest rate = 4.875%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.875/100
r = 0.04875 per year,
Then, solve the equation for t
t = ln(A/P) / r
t = ln(700.00/350.00) / 0.04875
t = 14.218 years
Therefore, it would take 14.218 years for Kelvin's money to double.
To the nearest hundredth of a year, how longer would it take for Faith's money to double than for Kevin's money to double is calculated as
15.016 years - 14.218 years
= 0.798 years
Approximately to the nearest hundredth ≈ 0.80 years
Therefore, it would 0.8 years longer for Faith's money to double than for Kevin's money to double.
If a real estate agent receives 17 percent of the selling price of each house he sells, then what would the agent make if the house sells for $180,000?
Answer:
$30600
Step-by-step explanation:
The selling price is $180,000
The commission rate is 17% of this
(17/100) * 180000 = 30600
If (3x+2) is a factor of 6x³+px²+x-2, Find the remaining factors of the polynomial p(x).
let:
3x+2=0
then solve it
then put the velue of x in p(x)
Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?
Answer:
ratio 2 : 3 : 5
size of smallest angle
[tex]180 \times \frac{2}{10} \\ = 36[/tex]
Answer:
The smallest angle of a triangle is 36°.
Step-by-step explanation:
Given, the ratio of angles of a triangle is 2 : 3 : 5
Let the angles of a triangle be ∠A, ∠B and ∠C.
∠A = 2x, ∠B = 3x, ∠C = 5x
∠A+∠B + ∠C= 180°
[sum of all the angles of a triangle is 180°]
2x + 3x + 5x = 180°
10x = 180°
x=180°/10 =18°
∠A=2x=2 x 18° = 36°
∠B = 3x = 3 x 18° = 54°
∠C = 5x = 5 x 18° = 90°
Hence, the smallest angle of a triangle is 36°.
HOPE IT HELPS!!!
Find the equation of the straight line whose portion is bisected at (2, 3).
Answer:
Let P(2,3) be the point passes through the line
Let a,b be x-intersept and y-intersept of line respectively
∵ Point P(2,3) bisect the points (a,0) and (0,b)
∴ we have 2=a+02 and 3=b+02
∴a=4 and b=6
∴ by using intersept form
x4+y6=1
Step-by-step explanation:
Hope it helps you pls mark me as brain list.
Answer:
Let P(2,3) be the point passes through the line
Let a,b be x-intersept and y-intersept of line respectively
∵ Point P(2,3) bisect the points (a,0) and (0,b)
∴ we have 2=(a + 0)÷2 and 3=(b + 0)÷2
∴a=4 and b=6
∴ by using intersept form
x/4+y/6=1
Graph :
what is the area of the triangle formed from (-2,2), (1,2) and (0,-6)
Answer:
I think it's 12
Step-by-step explanation:
Hope it helps!
Which parent function is represented by the table?
Answer:
C
Step-by-step explanation:
In fact the symbol |x| means absolute value that is ever a positive value (or equal to 0 if x = 0)
Answer:
Answer B
Step-by-step explanation:
It's a linear function
