Answer:
x = 10
Step-by-step explanation:
Assuming that the triangles are similar we can use ratios to solve for x.
x / 6 = 35 / 21
Using cross products we acquire,
35 * 6 = 210
21 * x = 21x
21x = 210
Divide both sides by 21
21x/21=x
210/21=10
x = 10
a mother is presently four times as old as her daughter if the sum of their ages 6 years ago was 48 find their present ages
i need this answer with explanation
ASAP plzzzzzzz
Answer:
Daughter is 12 and mother is 48.
Step-by-step explanation:
Let the daughters age be x years now then the mothers age is 4x.
6 years ago the daughter was x-6 years and the mother was 4x - 6.
So we have the equation:
x - 6 + 4x - 6 = 48
5x - 12 = 48
5x = 60
x = 12
So the daughter is 12 and the mother is 4*12 = 48.
Real quick
what is the radius of 16 cm simplest form
Answer:
8cm
Explanation:
If the 16 cm is the diameter then the radius is 8 cm
Find the circumference of a circle that has a diameter of 70 cm.
Answer:
70 pi cm
219.80 cm
219.9114858 cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
C = pi * 70cm
Using 3.14 for pi
C = 219.80cm
Using the pi button
219.9114858cm
Circumference of circle = 2πr
π = 3.14 r = diameter/2 ; 70/2 = 35Hence , r is 35 cm
r denotes radius of circle⇛Circumference of circle = 2πr
⇛Circumference of circle = 2*3.14*35
⇛Circumference of circle = 6.28*35
⇛Circumference of circle = 219.8 cm
Hence , Circumference of circle is 219.8 cm
number name of 6 ,04,57,981
Answer:
six crore four lakh fifty seven thousand nine hundred eighty one
atch help video
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8, 2) and (-1,5)
Answer:
Submit Answer
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984
13
1.244
ALO
26
otv
Answer:
d ≈ 9.5
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (- 1, 5)
d = [tex]\sqrt{(-1-8)^2+(5-2)^2}[/tex]
= [tex]\sqrt{(-9)^2+3^2}[/tex]
= [tex]\sqrt{81+9}[/tex]
= [tex]\sqrt{90}[/tex]
≈ 9.5 ( to the nearest tenth )
help me please its urgent
Hi,
Answer is $0.19
Step-by-step explanation:-
We know that:-
15 dimes = $1.50
20 nickels = $1.00
8 quarters = $2.00
half dollar = $0.50
19 pennies = $0.19
Total = $5.19
Since Billy spended $5, so,
$5.19 - $5 = $0.19
Hope it helps you...
Find the slope and y intercept (please show work)
50 POINTS/GEOMETRY
AND BRAINLIST
BC bisects ABD
[tex]\\ \sf\longmapsto 3x+3=4x[/tex]
[tex]\\ \sf\longmapsto 4x-3x=3[/tex]
[tex]\\ \sf\longmapsto (4-3)x=3[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
Step-by-step explanation:
Solution,
According to figure
(3x+3)°=(4x)°
3x°+3°=4x°
3x°-4x°=-3
-x°=-3°
x°=3°
How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?
6
7
5
4
Answer:
5 Terms
Step-by-step explanation:
First we will count how many terms are there in this expression
a3
3a2b
-4ab
-11b
7
There are total 5 Terms in this expression
AYUDENME PLIS PLIS PLIS
What is 5 2/3 in radical form?
How can you convert 0.23 into a fraction?
Answer:
First take 0.23 as 0.23/1
Then Multiply the numerator and denominator by any number, Let us say 100
So it becomes,
0.23 x 100/100
=> 23/100
This is a high school grade question
Answer:
[tex]herre \: total \: angle \: in \: circle = 360 \\ then \\ \: 6x + 1 + x - 19 + 35 = 360 \\ 7x - 18 + 35 = 360 \\ 7x + 17 = 360 \\ 7x = 343 \\ x = \frac{343}{7} = 49 \\ x = 49degree \\ thank \: you[/tex]
6x + 1° + x - 19° + 35° = 360°
6x + x + 1° - 19° + 35° = 360°
7x + 1° - 19° + 35° = 360°
7x + (-18)° + 35° = 360°
7x + 17° = 360°
7x = 360° - 17°
7x = 343°
x = 343° : 7
x = 49°
find the L. C. M of no h and j
L.C.M= (4x^2+y^2+2xy)(4x^2+y^2_2xy)(2x_y)(2x+y)
Answer:
question no. h is solve above therefore I solve question no j . hope this will help you ☺️
5-81. Scientists hypothesized that dietary fiber would impact the blood cholesterol level of college students. They collected data and found r = -0.45 with a scattered residual plot. Interpret the scientists' findings in context. Hint: r stands for correlation coefficient)
Step-by-step explanation:
It shows that the content of dietary fiber is negatively correlated to the blood cholesterol of college student, as the correlation coefficient is negative. However, the r=-0.45 shows the two factors are lowly correlated (absolute value of r between 0.3 and 0.5)
Tìm tập giá trị y = x² - căn 4 - x²
Answer:
0 and 2 s the answer
Help please and thanks
Answer:
x = 7
Step-by-step explanation:
Because the points are collinear:
AB + BC = AC
We'll plug in the expressions in terms of x.
(-1 + 2x) + (11) = (3x + 3)
And solve for x. Combine like terms on the left
2x + 10 = 3x + 3
Subtract 3 on both sides
2x + 7 = 3x
Subtract 2x on both sides
7 = x
change this recurring decimal into fraction
Answer:
[tex] \frac{3393939}{10000000} [/tex]
Step-by-step explanation:
[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit
Answer:
20 seconds
Step-by-step explanation:
h(t) = -16t2 + 640t
to find the maximum value =>
h'(t) = 0
-32t + 640 = 0
-32(t -20)= 0
t-20 = 0
t = 20 seconds
Find derivative of h(t)
[tex]\\ \rm\longmapsto \dfrac{d}{dx}(-16t^2+640t)[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \rm\longmapsto -32t+640[/tex]
Now its be 0[tex]\\ \rm\longmapsto -32t+640=0[/tex]
[tex]\\ \rm\longmapsto -32t=-640[/tex]
[tex]\\ \rm\longmapsto t=\dfrac{-640}{-32}[/tex]
[tex]\\ \rm\longmapsto t=20s[/tex]
calculate a length of a square ground of perimeter 160m
please please please help me i really need it asap.
Answer:
[AF is equal to FE, CD + DE = CE]
a).
[tex]AM = \frac{1}{2} AD \\ \\ AM = \frac{15}{2} \\ \\ AM = 7.5[/tex]
b).
[tex]MF = \frac{1}{2} CF \\ \\ MF = \frac{7}{2} \\ \\ MF = 3.5[/tex]
c).
[tex]MB = ME \\ 6 = 4x - 5 \\ 4x = 11 \\ x = \frac{11}{4} \\ \\ x = 2.75[/tex]
Solve the following equation on the interval (0,2π)
cos2x=cosx
Answer:
x = 0, 2π/3, 4π/3, 2π.
Step-by-step explanation:
cos 2x = 2cos^2x - 1 so
2cos^2x - 1 = cos x
2cos^2x - cos x - 1 = 0
(2cosx + 1)(cos x - 1) =0
cos x = -1/2, 1.
When cos x = 1, x = 0, 2π
when cos x = -1/2, x = 2π/3, 4π/3.
Use the distributive property of multiplication to find 6×24.
Hint: 24= 4+20.
Answer:
see explanation
Step-by-step explanation:
6 × 24 ← replace 24 by 4 + 20
= 6(4 + 20) ← multiply each term in the parenthesis by 6
= 24 + 120
= 124
the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.
Part A : D.)
Part B : Length of the sandbox is 10 feet.
Step-by-step explanation:
Given,
Perimeter = 29 ft
We need to find the equation for the perimeter and also the length of the sandbox.
Solution,
Let the width of the sandbox be 'w'.
Now as per question said;
The length of the sandbox is 1 foot longer than twice the width of the sandbox.
So we can say that;
Length =
Now we know that the perimeter is equal to the sum of twice of length and width.
framing in equation form, we get;
Perimeter =
we have given the perimeter, so on substituting the value, we get;
Hence The equation used to find the width is .
Now we solve for 'w'.
Applying distributive property, we get;
Subtracting both side by '2' we get
Dividing both side by 6 we get;
Width of the sandbox = 4.5 ft
Length of the sandbox =
Hence Length of the sandbox is 10 feet.
Question
Julio is paid 1.1 times his normal hourly rate for each hour he works over 31 hours in a week. Last
worked 39 hours and earned $553.22.
Enter and solve an equation to find Julio's normal hourly rate, 1. Complete the explanation how you
that your answer is reasonable.
The earnings equation is 5553.22 =
Julio's hourly rate iss
per hour.
This is reasonable because working 39 hours at a rate of $14 per hour is
39.14 39(10 - 4) = 390 + 156 =
and s
is close to $553.22.
Answer:
Last worked 39 hours and earned $553.22. Enter and solve an equation to find Julio's normal hourly rate,
(03.03)
How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?
Answer:
Step-by-step explanation:
The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).
I have put a graph in so that you can see the shifts for yourself.
The red line is g(x) = x^4
The blue line is f(x) = (x - 9)^4 - 3
What is 50 percent of 320?
(Please explain in detail also)
Answer:
50 Percent of 320 is 160. 30 divided by 5, is 15, meaning that 300 divided by 5 will be 150. Divide 20 in half, and you get 10. Your answer is 150+10=160
Step-by-step explanation:
A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the length of the fourth part of the ribbon is 9 times the length of the second part of the ribbon.
(a) Calculate the common ratio.
(b) If the total length of the ribbon is 1 476.2 m and the length of the first part is 5 cm, calculate
(i) the value of n,
(ii) the length, in cm, of the last part of the ribbon. panjang,
Answer:
Step-by-step explanation:
[tex]Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)[/tex]
in the diagram triangle BCD is mathematically similar to triangle ACE
Answer:
3
Step-by-step explanation:
NEED HELP PLEASE !!!
Answer: 7/64 inch is bigger by 1/64 inch difference
Step-by-step explanation:
STEP ONE: Convert the denominators into Least Common Multiple (LCM)
LCM of 32 and 64:
First 3 multiples of 32: 32, 64, 96
First 3 multiples of 64: 64, 128, 192
Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.
STEP TWO: Convert the fractions
3/32 = (3 × 2) / (32 × 2) = 6/64
7/64 = 7/64
STEP THREE: Compare the numerator to define the size of fractions
6 < 7, therefore, 6/64 < 7/64
7/64 - 6/64 = 1/64 inch
Hope this helps!! :)
Please let me know if you have any questions