Given:
The ratio of the measures of the three sides of a triangle is [tex]\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}[/tex].
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are [tex]\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x[/tex] respectively (in cm).
Its perimeter is 31.4 centimeters.
[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4[/tex]
[tex]\dfrac{3x+4x+2x}{12}=31.4[/tex]
[tex]\dfrac{9x}{12}=31.4[/tex]
[tex]\dfrac{3x}{4}=31.4[/tex]
On further simplification, we get
[tex]3x=4\times 31.4[/tex]
[tex]3x=125.6[/tex]
Divide both sides by 3.
[tex]x=\dfrac{125.6}{3}[/tex]
[tex]x=41.867[/tex]
Now, the sides of triangle are
[tex]\dfrac{1}{4}(41.867)=10.467[/tex]
[tex]\dfrac{1}{3}(41.867)=13.956[/tex]
[tex]\dfrac{1}{6}(41.867)=6.978[/tex]
Therefore, the length of the shortest side is 6.978 cm.
Help I will give brainlist and 30 points
Answer: the 3rd one is the only true one because there are 7 boys and 2 girls
HELP ME ;-; need it plsssssss
Answer:
1) Similar
2) similar
3) Dissimilar
4) Dissimilar
5)similar
Step-by-step explanation:
similar:KAPAG MAGKAPAREHO ANG NUMBER NG DENAMONATOR NG ISANG FRACTION O MAG KAPAREHO ANG KANILANG NUMERATOR NUMBER
DISSIMILAR:KAPAG HINDI MAGKAPAREHO ANG NUMBER NG DENAMONATOR O HINDI MAGKAPAREHO ANG NUMBER NG NUMERATOR
My last math question of the day! Help me out!
What equation can be used to find B, the number of points scored!
Thank you!
Answer:
A
Step-by-step explanation:
Let b represent the number of points Ben scored.
We know that Lori scored 26 points.
This amount is two less than four times what Ben scored.
Four times what Ben scored will simply be 4b.
And two less will be 4b - 2.
This is equivalent to Lori's score.
So, we can write that:
[tex]4b-2=26[/tex]
Hence, our answer is A.
Answer:
I believe it is A
Step-by-step explanation:
Since in this problem you would want to find b, which is stated the is almost 4 times 26... however is 2 less. The other options are wrong since you would want a bigger number, not a smaller one... Hopefully this is helpful
What’s the common difference or ratio for the sequence 5,10,15,20,25,30,35
Answer:
the common difference is +5
Step-by-step explanation:
10-5=5
15-10=5
etc.
goes up by 5 every term so the common difference is 5 or +5
Answer:
It is 5. :)
Step-by-step explanation:
Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.
Answer:
Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Step-by-step explanation:
Given:
Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]
To find: Dimensions of a cylinder
Solution:
Let [tex]r,h[/tex] denote height of a cylinder.
Volume of a cylinder = [tex]\pi r^2h[/tex]
Therefore,
[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]
One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].
Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]
So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)
Answer:abcd
Step-by-step explanation:
"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",
(x, y) → (x, y + h)
If the vertices of a square are,
A(1, 2), B(3, 2), C(3, 4), D(1, 4)
If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,
A(1, 2) → A'(1, 2+5)
→ A'(1, 7)
B(3, 2) → B'(3, 2+5)
→ B'(3, 7)
C(3, 4) → C'(3, 4+5)
→ C'(3, 9)
D(1, 4) → D'(1, 4+5)
→ D'(1, 9)
Therefore, Option (A) will be the answer.
Learn more,
https://brainly.com/question/13365243
the angle of a triangle in the ratio 1:3:5 how much is the larger angle
Answer:
100°
Step-by-step explanation:
The sum of all the angles in a triangle is 180°.
This is 1 + 3 + 5 = 9
180 ÷ 9 = 20
The scale factor is 20.
Multiply 5 (the greatest angle) by the scale factor.
5 x 20 = 100
help 6x+6y=-6
x=-5y-13
Answer:
what do you need help on?
Step-by-step explanation:
In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012
find the nth term of the following sequence
-7 ,-4 , -1 , 2 ,5
Answer:
3n - 10
Step-by-step explanation:
Find the difference between the terms
-7 , -4 , -1, 2, 5
+3 +3 +3 +3
Difference of terms = 3, so you'd write that as 3n
Then you'd need to find the difference between the 1st term and 3:
3 > -7
- 10
So you'd write that as 3n - 10
Failing this class plz help
Answer:
m∠2 = 35°m∠3 = 55°Step-by-step explanation:
Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°
Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90
m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit
Answer:
1kg of apple : €0.50
1kgof grapes : €1.20
Step-by-step explanation:
15kg of apples and 40kg of grapes costs €38
15kg of apples and 9kg of grapes costs €22.50
38 - 22.50 = 15.5
40 - 9 = 31
15.5 ÷ 31 = 0.5 ( 1kg of grapes )
0.5 × 3 = 1.5
7.5 - 1.5 = 6
6 ÷ 5 = 1.2 ( 1kg of apples )
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
33
Step-by-step explanation:
Find the area of the triangle below. Be sure to include the correct unit in your answer
Answer:
Step-by-step explanation:
here
base(b) = 13 yd
height (h) = 4 yd
area of triangle
= 1/2 *b*h
= 1/2 * 13 * 4
= 26 yd²
Is 5/6 greater or is 9/10 greater
Answer:
9/10
Step-by-step explanation:
9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333
Answer: 5/6
Step-by-step explanation:
because with fractions if the bottom is less than it is more than a number bigger tha it
I only need help with #17 pls
Answer:
I'm pretty sure the answer is A) Dilation.
Answer:
a. Dilation is the correct ansewr
is the discriminant of f positive , zero , or negative
Answer:
Negative because there's no x-intercepts!
Hope this helps!
If you spin the spinner 75 times how many 2s would you get?
Answer:
If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.
Step-by-step explanation:
can someone help me im stuck
Answer:
(3). 500; (4) 60
Step-by-step explanation:
4x + 5y = 102
7y + 5y = 126
Answer:
hope you like my question
Step-by-step explanation:
Hi -
What you want to do here is solve the equation by substitution.
To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.
1) Solve either equation for y. Lets go with the first one:
4x+5y=102
Subtract 4x from each side:
5y=102-4x
Divide both sides by 5
y=(102-4x)/5
2) Plug this value for y into the other equation we started with:
7x+5y = 126
7x + 5((102-4x)/5) = 126
3) Solve the resulting equation for x.
Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out
7x + 5((102-4x)/5) = 126
7x + 102 - 4x = 126
Combine the 2 x terms:
3x+102=126
subtract 102 from each side:
3x = 24
Divide both sides by 3:
x=8
Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.
4x + 5y = 102; if x = 8
32+5y = 102
subtract 32 from each side:
5y = 70
Divide both sides by 5:
y = 14
So x = 8 and y = 14.
You can check your work by plugging these numbers both into your 2 initial equations.
4x+5y=102; 4*8+5*14 = 102
7x+5y=126; 7*8 +5*14 = 126
Can someone help me out please?
Step-by-step explanation:
perp. 1/2
y - 2 = 1/2(x + 4)
y-2 = 1/2x+2
y=1/2x+4
The given point 1, -3 reflected over the x axis
Answer:
(1,3)
Step-by-step explanation:
The image of (1, -3) is (1, 3).
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Point = (1. -3)
Reflected over the x-axis.
So,
(1, -3) = (1, -(-3)) = (1, 3)
Thus,
(1, 3) is the reflected image.
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ2
Nevaeh is going to invest in an account paying an interest rate of 4.6%
compounded quarterly. How much would Nevaeh need to invest, to the
nearest cent, for the value of the account to reach $125,000 in 9 years?
Answer:
$24,761.07
Step-by-step explanation:
Is Y=6x+11 a function?
Answer:
Yes
Step-by-step explanation:
y=6x+11
0=6x+11
-6x=11
x=-11/6
So its a solution
If the ratio for boys to girls in a summer camp is 5:7 but there's 108 kids there then how many are boys and how many are girls
K - 5 = 12. Solve the equation
Answer:
17 = K
Step-by-step explanation:
Add 5 to both sides to get K = 17
The circumference of a circle is approximately 3.14 times the length of its diameter. Which inequality can be used to find all possible diameter lengths, d, if the circumference of a circle is more than 50 cm? 3.14 d less-than 50 3.14 d greater-than 50 50 d greater-than 3.14 50 d less-than 3.14
Answer:
3.14 d greater-than 50
(i also need help with one of my questions >~<)
Step-by-step explanation:
Since the circumference of a circle is approximately 3.14 times the length of its diameter, mathematically speaking:
C = 3.14d
That expression must be greater (>) than 50:
3.14 d > 50
So, the correct option is; 3.14 d greater-than 50
5692 in standard form
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.
Answer:
y = 2/3xStep-by-step explanation:
Reading rate is y pages per x minutes and proportional relationship formula is:
y = kxThe coefficient is:
k = y/xLet's verify if the given numbers fit into the same relationship:
12/18 = 2/38/12 = 2/320/30 = 2/3We confirm all same and it means k = 2/3
Required equation is:
y = 2/3xThis represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages
Solve for the missing side of the right triangle. Round your answer to the nearest tenth.
Answer:
10.4
Step-by-step explanation:
with reference angle 60
perpendicular (p)= 18
base(b)= x
tan 60 = p/b
[tex]\sqrt{3}[/tex] = 18/b
b = 10.4