The longest side in a right triangle is the hypotenuse, which is the side opposite the right angle.
In ∆ XYZ, if X is the right angle, then the hypotenuse would be the side connecting points Y and Z. This is because in a right triangle, the hypotenuse is always the side opposite the right angle and is also the longest side in the triangle. This can be proven using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Learn more about Hypotenuse here:
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Consider 3y+6x+3 in the form y= ax+b. Find the constants a and b.
Answer:
a= -2 and b= 0
Step-by-step explanation:
Sorry the picture is a bit blurry
Eight less than 7 times a number is -29.
Answer:
7x-8=-20
Step-by-step explanation:
Emir's Ice Cream Shop sold 1 sundae with nuts and 7 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the total number of sundaes?
Answer:
1:7
Step-by-step explanation:
Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?
Answer:
370 stores
Step-by-step explanation:
Given data
initial number of stores P= 200
r= 8%
t= 1999-2007= 8 years
Let us apply the compound interest expression to find the final amount of stores
A= P(1+r)^t
A= 200(1+0.08)^8
A= 200(1.08)^8
A= 200*1.85
A=370
Hence the number of stores in 2007 is 370 stores
Cheryl signs up for a savings account that guarantees an increase in her savings at a fixed rate of $15 per month. She plans to withdraw the money when it is more than twice the original amount of $200. Find the least number of complete months that Cheryl has to keep the money in the account for.
Answer: 14 months.
Step-by-step explanation:
Given: Original amount = $ 200
Fixed rate of growth = $15 per month
Let x be the number of months that Cheryl has to keep the money in the account for.
Then, [tex]200+15x=2(200)[/tex]
[tex]\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14[/tex]
Hence, it will take 14 months .
What is the quotient of 3/7 and 14?
Answer:
Answer down below
Step-by-step explanation:
If its 3/7 divided by 14 it is 3/98
If its 14 divided by 3/7 it is 98/3
Hope this helps
Find the value of x and y.
Answer:
This is a triangle with 2 equal angles and equal to 60
=> this is an equilateral triangle
=> y = 60
4x.3 = 54
=> y = 60
x = 54/12 = 4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
if two angles are 60 degrees, the third one is also 60 degrees
that means all the sides are equal
if one side is 4x
4x+4x+4x=54
12x=54
x=4.5
Just need answer for both
Answer:
First one: 12 ft
Second one: 50ft^2
Step-by-step explanation:
Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter
Second one:
because both triangles are congruent like I stated above, both triangle are congruent.
But in this case we have to find the area of the whole rectangle.
What we do here is multiply 25 by 2
or
add 25+25
our answer is 50ft^2
Please help!!! If you can
Answer:
Im guessing its B. Im sorry of this didnt help.
Step-by-step explanation:
[tex]y = 12000 {(1.04)}^{30}[/tex]
Merton's population = 38920.77012
//
18000 + 30(500) = 33000
Hapville's population = 33000
//
38920.77012 - 33000 = 5920.77012
5920.77012 ---> 6000
The answer is B.
When the points plotted on a graph that are joined together produce a straight line, which graph do we obtain
Answer:
linear graph
Step-by-step explanation:
if the points are coming in a straight line it is linear
Can someone help me with my homework
Answer:
lol i ltterally don't know what this is and im in algebra
Step-by-step explanation:
Answer:
1. Angle EFC and DCF
2. All angles of a parallelogram add up to 360 so 4x-15+127=180 degrees
3. (4) 150 degrees
4. P = 45 degrees
Step-by-step explanation:
Which sequence is an arithmetic sequence?
-9, -6, -2, 0
5,7,9,15
3,6,12,24
-7, -3, 1, 5
Answer:
-7, -3, 1, 5 is an arithmetic sequence
Ms. Brown bought 6 boxes of pencils with a total of 240 pencils. How many pencils were in each box?
Answer:
40
Step-by-step explanation:
You need to divide 240 by 6 since there are 6 boxes and 240 pencils. If you do that, you will get 40. Hope it helps :)
Answer:
40
Step-by-step explanation:
240/6=40
Can someone help me please?! I’ll make you brainlest.
NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
A.
x > 3
B.
x > 4
C.
x > 5
D.
x > 7
Answer:
D. x > 7
Step-by-step explanation:
The mine operates x hours per day and extracts 2 tons of ore per hour.
The amount of ore extracted as a function of hours of operation is
2x
The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.
2x > 14
Divide both sides by 2.
x > 7
Answer: D. x > 7
Solve for x: 5x – 2 = 13
GIVING BRAINLIST!! Please help
Answer:
3
Step-by-step explanation:
5x - 2 = 13
+2 +2
5x = 15
÷5 ÷5
x = 3
Have a great day <3
Answer:
x=3
Step-by-step explanation:
7 + 9 divided by 2
zzzzzzzzzzzzz
Pewdie-pie coco-melon dis-track cause yt banned. You can find it on StilBS chan.nel
is a parallelogram with 4 congruent sides a square ?
Answer:
oopppppp yes
Step-by-step explanation:
Answer:
Yes
Good luck, and have the most amazing day!
It’s sad when I help people because they don’t do the same thing to so please please please... answer me once :((((((((((((((((((((((((((((((((((((((((((((((
Answer:
Where is the question????????
Friend
What's your question, my friend?
1. Lawrence's parents pay him a base allowance of $10 per week and $3.20 per hour for extra chores he completes.
Mr. Williams pays Lawrence $7.80 per hour to fix broken washing machines at the laundromat. Which equation
models Lawrence's total weekly income?
Answer: 1. C and number 2 is A
Step-by-step explanation: Hope this helps
The value of 23 + 33 = ___. Numerical Answers Expected!
Answer:
75.76%
Step-by-step explanation:
Jacy has $1,000 to invest in either a fund that pays approximately 4.6% per year or in a savings account with an annual interest rate of 1.8%. Write a polynomial function S(x) to represent the interest Jacy will earn in 1 year by investing x dollars in the fund and the remainder in the savings account.
Answer:
.046x
Step-by-step explanation:
represent
[tex] \frac{ - 7}{5} [/tex]
on the number line
Given:
The number is [tex]-\dfrac{7}{5}[/tex].
To find:
The location of the given number of the number line.
Solution:
We have,
[tex]Number=-\dfrac{7}{5}[/tex]
It can be written as
[tex]Number=-\dfrac{5+2}{5}[/tex]
[tex]Number=-\dfrac{5}{5}-\dfrac{2}{5}[/tex]
[tex]Number=-1-\dfrac{2}{5}[/tex]
It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.
The mixed fraction form of given number is
[tex]Number=-(1+\dfrac{2}{5})[/tex]
[tex]Number=-(1\dfrac{2}{5})[/tex]
[tex]Number=-1\dfrac{2}{5}[/tex]
Divide the number in 5 equal parts between two consecutive integers.
Now each unit represents [tex]\dfrac{1}{5}[/tex].
Since [tex]Number=-1-\dfrac{2}{5}[/tex], therefore, it is 2 units left from -1.
The number line is given below.
65°
(х + 72)
i need help with x
Answer:
65x+4680
Step-by-step explanation:
Andre has 5 notebooks. Each notebook contains 60 sheets of paper. How many total sheets of paper does Andre have in his notebooks?
Answer:
5 x 60 = 300 pages
Step-by-step explanation:
Answer:
5x60=300
Step-by-step explanation:
If he has 5 note books with 60 pages each he has 300 pieces of paper
I need someone to confirm it is this correct?
Answer:
Yes your answers are correct.
Step-by-step explanation:
Answer:
Yes it is. Good job!
Step-by-step explanation:
g(3) =
g(-2) =
g(0) =
9(-1) =
g(8)
g(-4)
PLEASE HELPPP!!!
Answer:
-4 Cot (−45)-4cot(-45)Sin (330)sin(330) Csc (60)
Step-by-step explanation:
rectangle with length 8 in. and width 6 in.
Answer:
Area of 48
Step-by-step explanation:
Answer:
Area = 48 in square
Perimeter = 28 inches
Hope that helps!
Step-by-step explanation:
divide 450 in the ratio 2 is to 3 is to 5
Answer:
90 : 135 : 225
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide the number by 10 to find the value of one part of the ratio
450 ÷ 10 = 45 ← value of 1 part of the ratio, then
2 parts = 2 × 45 = 90
3 parts = 3 × 45 = 135
5 parts = 5 × 45 = 225
Then
450 in the ratio 2 : 3 : 5 is 90 : 135 : 225
E
C
5
4
9
B
D
C
Solve for x
Que se debe hacer es una pregunta???