Ratio of the sides of the triangles,
2 : 3 : 4
Let's consider each side to be
2x,3x and 4x
Therefore the perimeter of the triangle is,
2x + 3x + 4 x = 9x
The shortest side is 15 inches.
We know that the smallest value in the above ratio is 2
Therefore,
2x = 15 inches
x = 7.5 inches
☞Perimeter of the triangle
= 9x
= 9 * 7.5 inches
= 67.5 inches
The semiannual tuition payment at a major university is expected to be $30,000 for the 4 years beginning 18 years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning 18 years, 6 months from now? Assume that money is worth 6%, compounded semiannually, and that tuition is paid at the end of each half-year for 4 years. (Round your answer to the nearest cent.)
Answer:
$49,216.78
Step-by-step explanation:
A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k
A = Present value of deferred annuity
R = Payment at the end of period
R = 30,000
i = 0.06 / 2
n = (4)*2 = 8
k = deferred period, (18)*(2) = 36
A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36
A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36
A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185
A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185
A(n,k) = 30,000*6.732744875*0.24366872185
A(n,k) = 49216.78014700164
A(n,k) = $49,216.78
So the lump sum payment that the university accept now is $49,216.78
Solve for p in the literal equation 8p + 3r = q.
Answer:
Step-by-step explanation:
8p + 3r = q
8p = q - 3r
p = (q-3r)/8
The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
Answer:
Length of the side of a square is 18 sqrt(2)
Step-by-step explanation:
a and b are the sides of square and c is the diagonal.
a^2+b^2=c^2
a^2+b^2= 36^2
As all sides are equal we can take b=a
2a^2=36^2
a^2= (36×36)/2
a^2 = 18×36 = 2×9×9×4
Taking squareroot on both sides we get
a= sqrt(2×9×9×2×2)
a=18 sqrt(2)
Solve the equation. 10 - 6v = -104
10 - 6v = -104
-6v = -104 - 10
-6v = -114
6v = 114
v = 114/6
v = 57/3
v = 19
please help me asap
Answer:
3)7/12
4)2*14/25
5)25
hope my effort will help you in some way
Answer:
Step-by-step explanation:
3) [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3
[tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]
4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]
[tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]
5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]
= 5 * 5
= 25
what is the slope of the line represented by the equation y equals negative 1 / 2 x + 1 / 4
Answer:
1/2
Step-by-step explanation:
just because it is
THIS IS SUPER EASY PLEASE HELP!
A rectangle is 7 meters longer than it is wide. If the area is 84 square meters, find the dimensions of the rectangle.
Answer:
w=38.5
l=45.5
Step-by-step explanation:
I'm not sure but I hope this helps! *You may want to check my math*
I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.
Order of operation with Integers
Answer:
8
Step-by-step explanation:
we have to follow PEDMAS.
what we have to do in each operation:
Parenthesis ~ 100 + 8 to the second power
Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power
Multiplication ~ none
Division ~ 10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power
Addition ~ 100 + 8 to the 2nd power
Subtraction ~ 10 to the 2nd power - (100+8 to the second power)
doing the work:
we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.
E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.
we can skip M because there isn't any multiplication to do.
D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8
A: we already did the addition in the parenthesis part.
S: we already did the addition in the parenthesis part.
what is the inverse operation of add 5 ?
Answer:
Step-by-step explanation:
Subtract 5
Answer:
Example: Addition and subtraction are inverse operations
is this right, be fr please
Answer:
1. yes
2.yes
Step-by-step explanation: you did the math right good
Need help finding the missing angle measure
Answer:
125
Step-by-step explanation:
(n-2)180
(6-2)180
=720
720-120-110-100-130-135
=125
Answer:
Step-by-step explanation:
It is a six sided figure sum of all angles should be 720 degree.
595 +x=720
x=720-595
x=125 degree
Another method
Sum of interior angles of a polygon is
= (n-2)×180=(6-2)×180= 720 degree
Triangle A (1, 1), B (4, 4), C (6, 2) is
Answer:
Is a obtuse triangle
Step-by-step explanation:
please help
4x-8 by 4 is ???
What is 4.207 as a percent help me pls
Answer:
420.7%
Step-by-step explanation:
half of the quantity of 6 less than a number f is 4
Answer:
I believe 10
Step-by-step explanation:
the reason I believe it is 10 is because that is the main mathematical explanation for this equation
Anyone know this???
================================================
Explanation:
To shift f(x) to the right three units, we need to replace every x with x-3
f(x) = (x+2)^2 + 1
f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3
f(x-3) = (x-1)^2 + 1
g(x) = (x-1)^2 + 1
The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answer:
Sawyer has to pay $10 each week to pay his mom back
Step-by-step explanation:
Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.
The remaining $30 will be covered by his mom, given he pays the money back in three weeks.
If he pays the same amount each week, then each week he should pay $30 / 3 = $10
Sawyer has to pay $10 each week to pay his mom back
What is the slope of the line that crosses points (6, 9) and (10, 11)
[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Answer:
2/4 or 1/2
Step-by-step explanation:
slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.
y-axis is the rise because it goes up and down
x-axis is the run because it's horizontal
rise/run= 2/4= 1/2 because you always simplify.
If your car gets 34 miles per gallon, how much does it cost to drive 370 miles when gasoline costs $3.30 per gallon?
The cost is $
nothing.
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
15
Step-by-step explanation:
Adding and subtracting fractions show the working and answer
Answer:
1) 1/2
2)7/10
3)11/12
4)4/96
5)43/30
6)5/40
I will do one only. You gotta do your own homework.
Corey bought 56 boxes of tiles from the Home Improvement store which was 4/7 of the total number of boxes that they had how many boxes of tiles does a store have
Answer:
a store haves 98 boxes of tiles
Complete each congruent statement by naming the corresponding angle or side.
Answer:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
Step-by-step explanation:
From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
50% of 25% of the number is 96
Answer:
if I'm supposed to find the number it is 768
Step-by-step explanation:
double 96 which equals 192 then multiply that times 4 which is 768
The 50% of 25% of the number 96 will be equal to 12.
What is percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 96 and the value of 50% of 25% of 96 will be calculated as,
P = 50% x 25% x 96
P = 0.5 x 0.25 x 96
P = 12
Therefore, 50% of 25% of the number 96 will be equal to 12.
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Help me please hurry up
alyssa does jumping jacks in her spare time she does 300 jumping jacks on 2.5 minutes how many jumpin jacks can she do per minute?
In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.
Applying the exterior angle of a triangle theorem, m<WUV = 36°
What is the Exterior Angle of a Triangle Theorem?The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.
Applying the exterior angle of a triangle theorem:
m<WUV + m<UVW = m<VWX
Substitute
2x + 8 + 3x + 16 = 8x - 18
Add like terms
5x + 24 = 8x - 18
5x - 8x = -24 - 18
-3x = -42
-3x/-3 = -42/-3
x = 14
m<WUV = 2x + 8
Plug in the value of x
m<WUV = 2(14) + 8
m<WUV = 28 + 8
m<WUV = 36°
Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°
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please help jjjsjssioaozkzksnsnsns
answer asap for brainliest
Answer:
(2,4)
Step-by-step explanation:
Plug in 2 for x and plug in 4 for y and the equation should be correct
What is the probability of obtaining two heads in a row when flipping a coin?
Answer:
0.25000
Step-by-step explanation:
Use the picture in the diagram 2
Answer:
4
Step-by-step explanation:
4