Answer:
Given,
Length and breadth of the rectangle are (x) and (x+10)
Area of the rectangle ( A ) = 144[tex]m^{2}[/tex]
We know ,
Area of rectangle ( A ) = L*B
or , 144 = x ( x+10 )
or , 144 = [tex]x^{2}[/tex] + 10x
or , [tex]x^{2}[/tex] + 10x - 144 = 0
Solving the equation , we get ,
x = 8 and -18
The side has to be positive so ,
x = 8 m , which is the shortest side !
Step-by-step explanation: We were given the area of the rectangle and length & breadth in expression . By using the formula of area of rectangle , we got the equation which then gave 8 and -18 as answers when solved and since the rectangle had positive sides 8 m was the correct value . Also its the shortest side and the other side is simply ( 8 + 10 ) which is 18 m but the question has only asked for the shortest side !
Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?
Answer: $125 rounded or $125.3 not rounded
Step-by-step explanation:
What is the measure of an exterior angle of a regular 13-gon?
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
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Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
It takes 16 people to pull a 30 ton cable wire. How many people would it take to pull a 60 ton cable wire?
The answer to this question is 32
Explanation
16/30 cross multiplies x/60
after you get, 960=30x
then divide by 30 and then you get 32.
or you can just take 16 and multiply it by two since 60 is a multiple of 30.
What is the smallest degree of rotation that will map a regular 15-gon onto itself
Answer:
13
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)
Answer:
x>2
Step-by-step explanation:
0<7x-14
-7x<-14
x>2
hope that's right
Answer:
x > 2
Step-by-step explanation:
-x < -x+7(x-2)
0 < 7(x-2)
0 < x-2
x > 2
(edited)
the question is in the pic
Answer:
d the bottom one
Step-by-step explanation:
both are a right angle and are the exact same shape
Help please! I’m bad with geometry.
Answer:
Step-by-step explanation:
1). Figure given on the top shows two lines with red marks (on segments UT and SR) are equal in measure.
Therefore, UT ≅ RS
2). In the second figure, Two angles have been marked with red arcs are equal in measure.
Therefore, ∠C ≅ ∠D
3). Angle marked with red square is a right triangle.
∠D = 90°
Please help!!! thank you so so much!!! will give brainliest!
Answer:
A
HOPE THIS HELPS YOU
GIVE THANKS
MARK AS BRAINLIEST
if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS
Answer:
f(1)=101.25 and f(2)=112.5
Step-by-step explanation:
f(1) = 72(1.25)^1 = 11.25
f(1)=90=11.25
f(1)=101.25
f(2) = 72(1.25)^2
f(2)=72(1.5625)
f(2)=112.5
You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?
Answer: $500
Step-by-step explanation:
You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:
= 766.45 - 32.45
= A$734
1 USD gives A$1.468
The USD you will need is:
= 734/1.468
= $500
A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled?
Answer:
0.25 Hope this helps :)
Step-by-step explanation:
You add the 5 red and 3 green
8 Mables besides blue
so that's 2/8
simplified 1/4
1/4=0.25
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answer:
Its Going to be -4
Step-by-step explanation:
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
Marking brainliest.
Answer:
UV
Step-by-step explanation:
That's the only one make sense
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
What is the slope of,
(-2,1) and (5,4)?
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{4-1}{5--2}[/tex] =
[tex]\frac{4-1}{5+2}[/tex] =
[tex]\frac{3}{7}[/tex]
13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS
Answer:
9) 30 years
10) line passing through points AB and BC are perpendicular
Step-by-step explanation:
9) p = 5t + 150
Current pop. (in thousands) is 150
Double pop. (in thousands) is 300
300 = 5t + 150
150 = 5t
t = 30
10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal
slope of AB = 3
slope of BC = -1/3
Step by step explanation
Answer:
[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807can anyone help me with it?
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
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Tina has $24.00 in coins and is putting them into piles of $0.03. How many piles will she have?
Answer:
800 I think I think I think or I know
Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
Find the length of the field
Brian bought beverages for his coworkers. One day he bought
3 lemonades and 4 iced teas for $12.00. The next day he bought
5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade
and 1 iced tea, to the nearest cent.
2.................................
The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?
Answer: 3 shirts
Step-by-step explanation:
so they are 20 a piece
5+45=50
they need to raise $50
1= 20
2=40
3=60
Answer:
Step-by-step explanation:
Pls help me..... It due ASAP
Answer:
D
Step-by-step explanation:
D is the right answer for the question
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
1. What is the slope of a line that is perpendicular to the x-axis
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
We also know a line that is perpendicular to the x-axis is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
Abey and Anoki are eating chocolate bars. The bars are the same size. Abey has ! 3 4 ! Left. Anoki has ! 7 8 ! Left. How much chocolate is left altogether?
Answer:
13/8 of the chocolate will be left altogether.
Step-by-step explanation:
Given that,
Abey and Anoki are eating chocolate bars. The bars are the same size.
Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.
Left amount = Abey left amount + Anoki left amount
[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]
Hence, 13/8 of the chocolate will be left altogether.