Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
Given the following data;
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
The population of a school is 800 students and is increasing at a rate of 3% per year. How many students will be there in 6 years?
Can someone solve this please
Answer:15. 5/8 = 0.625
Step-by-step explanation:
17:3 and 15:60 Equivalent ratios
Answer:
Step-by-step explanation:
17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.
15:60 = 1:4
Find the total amount in Mr. G’s account, if he invests $9000 for 5 years at a 6% interest rate.
Answer:
20,000
Step-by-step explanation:
for 5 6% at those with division 20,000 together and they would have 20,000
Calculate the distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
Step-by-step explanation:
√[(7-4)^2+{-7-(-2))^2] = √36 = 6
The distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane is 6.
What is coordinate plane ?"A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis. These two number lines intersect each other perpendicularly and form the coordinate plane.
The plane is called two-dimensional because anywhere on this plane where you can put your finger, the location of that point will need two things– its distance on the x-axis and its distance on the y-axis."
Using the distance formula between the points
Given, J = (4,-2) and E = (7,-7)
Distance formula = [tex]\sqrt((x1 - x2)^2 -(y1 - y2)^2)[/tex]
[tex]= \sqrt((4-7)^2 + (-2 - (-7))^2)\\\\= \sqrt(9 + 25) = 6[/tex]
Hence, distance between the points J and E = 6
To know more about coordinate plane here:
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a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.
Answer:
5 km/h or 6 km/hStep-by-step explanation:
Let the speed of the boat be xSpeed against the current in the river is x - 2Time in the river:
6/(x - 2)Time in the lake:
15/xThe difference:
6/(x - 2) = 15/x - 1Solve for x to find the speed of the boat
Multiply both sides by x(x - 2) to clear the fraction:
6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/hAnswer:
5km/hr or 6km/hr
Step-by-step explanation:
Ex. What is the theoretical probability of rolling 5 or higher on a six sided die?
Identify the ‘false’ statement.
a) (-317) < 603
b) (-333) < (-777)
c) 630 > 234
d) 1250 > (-750)
Answer:
the false statement would be option b) (-333) < (-777).
Step-by-step explanation:
in negative numbers, the smallest negative number would be considered larger when compared to a large negative number. additionally, when you plot these numbers on a number line, it is evident that -333 would be closest to 0, and -777 would be the farthest. thus, -333 is larger than -777.
(a) Write the ratio 32 : 80 in its simplest form
Answer:
Therefore, 32/80 simplified to lowest terms is 2/5.
3. What is slope of the line above?
4. What is slope of the line above?
help!
Exercise 2.4.4: Showing a statement is true or false by direct proof or counterexample. About Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample. (a) If and are even integers, then is an even integer. Solution (b) If is an even integer, then and are both even integers. (c) If , then . Solution (d) If x and y are real numbers and , then . Solution (e) If and are positive real numbers and , then . (f) The average of two odd numbers is an odd integer. (g) The average of two even numbers is even. (h) The average of two odd numbers is an integer. Solution
Answer:
Step-by-step explanation:
and ok thats the deal
A new pair of Nike shoes costs $95. It is on sale for 25% off! How much will you pay (not including taxes)?
Answer:
23.75
Step-by-step explanation:
95 is the 100 so to find 25% divide it by 4 and you get 23.75
what is the difference between 1 and o.1978
Answer:
0,8022
Step-by-step explanation:
guess it helped
the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need
Answer:
36 pegs (for the hypotenuse)
About 51 pegs (for the legs)
138 pegs (total)
Step-by-step explanation:
Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.
The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.
Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.
Hope it helps!
Find the perimeter and area of the figure
Answer:
Step-by-step explanation:
Perimeter = Add
Area= x
Use this solution to figure the area & Perimeter out.
Answer:
perimeter = 76 ft
area = 338 sq ft
Step-by-step explanation:
if the figures below are similar give the scale factor of figure a to b,20,17.5,16,14
Answer:
Step-by-step explanation:
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
Help person right gets brainlist
Plzzz help me it would mean a lot I willl mark you brainliest if you are right plz and ty
Answer:
45
Step-by-step explanation:
x÷3=15
=×*1/3=15
=x=15*3
x=45
Answer:
15 x 3 = 45
So, x = 45
Pls mark the brainliest :)
Step-by-step explanation:
1. What is the result when 3x2 - 4x + 5 is subtracted
from 3x3 – 13x + 4?
Help, please it's due soon?
9514 1404 393
Answer:
398,765
Step-by-step explanation:
If s represents the number sold to date, the given relation is ...
0.081s = 32300
s = 32300/0.081 ≈ 398,765 . . . . . . divide by the coefficient of s
398,765 copies have been sold to date.
Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?
Through (4,-4) parallel to y=3
Answer:
y = -4
Step-by-step explanation:
Because y = b, b = -4, the equation would be written as y = -4.
what is the length of segment SA? show your work please I will give you brainliest
Answer:
SA=3
Step-by-step explanation:
9/11.7=10/x
9x=117
117/9=13
13-10=3
Answer:
3 ftStep-by-step explanation:
Use ratios:
SB/TB = SA/TC10/9 = SA/2.7SA = 10*2.7/9SA = 3 ftDoes this look right? Explain why
5/6
6.565656…
0.23
-5 3/8
Answer:
Yes
Step-by-step explanation:
Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so
5/6 is right since it is a fraction
6.565646 is right since it is a repeating decimal
0.23 is right since it is a terminating decimal
-5 3/8 is right since it is a mixed number
Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits
A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth
Answer:
83 m
Step-by-step explanation:
The computation of the length of the wire is shown below:
Let us assume the length of the wire be x
Given that
There is 35m from the base of the tower
And, the angle with the ground is 65 degree
So, the length of the wire is
cos 65 = 35 ÷ x
x = 35 ÷ cos 65
= 83 m
4.5=2c I need help plz
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?
Answer:
greatest common factor is 12xy² .
Step-by-step explanation:
HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!
Answer:
DB!
Step-by-step explanation:
Question a: 3+3+2+2 = 10 dinners
Question b: 15-30 and 30-45, because most people choose that range.
Hope I helped!
Answer:
a) 10 b) 2-3 dollars
Step-by-step explanation:
a) 3+3+2+2
b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!