Arectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
O 31 units
O 39 units
O 41 units
O 49 units
What theorem shows that ΔACE ≅ ΔBCD?
Answer:
sas
Step-by-step explanation:
Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.
1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
Answer:
1 a
Use the midpoint formula:
m=x1+x2/2, y1+y2/2, z1+z2/2
m= 4+6/2 ,8+12/2, 2+10/2
m= (5 ,10, 6)
Step-by-step explanation:
Approximately 60 percent of municipal solid waste in the United States is composed of some form of organic matter that could be composted. Every American generates approximately 2 kg of waste every day. The amount of compostable waste that could be generated by one individual in a week would be closest to
Answer:
8.4 kg
Step-by-step explanation:
First, find how much waste is created in a week:
Multiply 2 by 7, since they create 2 kg of waste each day:
2(7)
= 14 kg
Then, find 60% of this:
Multiply 14 by 0.6:
14(0.6)
= 8.4
So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg
The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage
Where:
Kg of waste=2kg
Number of days in a week=7 days
Municipal solid waste percentage=60% or 0.60
Let plug in the formula
Compostable waste amount=2kg×7 days×0.60
Compostable waste amount=8.4 kg
Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Learn more about compostable waste here:https://brainly.com/question/25342752
Find the measures of the angles of a triangle in which one angle is 70°& the other two are in the ratio 3:8.
Answer:
30° ; 80°
Step-by-step explanation:
Given that :
One angle of a certain triangle = 70°
The other two angles are in the ratio 3 : 8
Recall :
Sum of angles in a triangle = 180°
Number of angles in a triangle = 3
Hence,
Sum of the other two angles + 70 = 180
Hence, sum of the other two angles = (180 - 70)°
Sum of other two angles = 110°
The angle is in the ratio 3:8
Hence,
(3 / (3 +8)) * 110
= 3/11 * 110
= 330 / 11
= 30°
(8 / (3 +8)) * 110
= 8/11 * 110
= 880 / 11
= 80°
Hence ; 30° ; 80°
Find the measure of each exterior angle of the regular polygon.
Answer:
30°Step-by-step explanation:
Sum of exterior angles of the regular polygon is 360°The pictured is 12-gon
Each exterior angle measures:
360°/12 = 30°Answer:
30 degrees
Step-by-step explanation:
(Sum=360)
360/12=30
(We got 12 because there are 12 sides in the polygon!)
Tollowing:
a)
3x + 4 = 9.5
7 + 2x =
b)
= 5
See attachment for math work and answer.
The point-slope form of a line that has a slope of 3 and passes through point (6, 0) is shown below.
Answer:
Step-by-step explanation:
its the second one
u gotta add zero to the other side to isolate the y which would give you
y = [tex]\frac{2}{3}[/tex]x - 6
I hope this helps :)
Blockbuster Video charges $3 to a rent a video, plus an additional $2 for every day that the video is late. Which equation can be used to represent the fee that a customer pays for the video based on the number of days that the video is late?
y = 3 + 2
y = 3x + 2x
y = 2x + 3
y = 3x + 2
y = 3(2x)
Answer:
y=2x+3
Step-by-step explanation:
the normal charge is 3 + 2 x number of days so this equation is the correct one.
What is the solution to the system of equations below?
Answer:
2
Step-by-step explanation:
What is the sum or difference?
19x3 – 13x3
Answer:
the difference is 6x³
Step-by-step explanation:
19x3 – 13x3
=6x³
Answer:
18
Step-by-step explanation:
use pemdas. multiplication comes first and you go left to right. then you subtract the products of 19*3 and 13*3
Jill walks 3/5 mile in 1/2 hour. How fast is this in miles per hour?
Answer:1.2mph
Step-by-step explanation:
3/5*2=1.2 and 1/2*2=1 so it’s 1.2 mph
Write an expression to describe a number x increased by 10
Answer:
x+10
Step-by-step explanation:
increased = + so x+10
HOpe this helps plz hit the crown :D
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
I'm stuck and really need help. I can't figure out the rest.
Answer:
The next statements are are;
Statement [tex]{}[/tex] Reason
Segment [tex]\overline {DC}[/tex] ≅ Segment [tex]\overline {AB}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {AD}[/tex] ≅ [tex]\overline {BC}[/tex] and [tex]\overline {DC}[/tex] ≅ [tex]\overline {AB}[/tex], therefore;
ABCD is a parallelogram [tex]{}[/tex] Parallelogram side theorem
Step-by-step explanation:
Statement [tex]{}[/tex] Reason
Segment [tex]\overline {DC}[/tex] ≅ Segment [tex]\overline {AB}[/tex] by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
Given that [tex]\overline {AD}[/tex] ≅ [tex]\overline {BC}[/tex] and we have that [tex]\overline {DC}[/tex] ≅ [tex]\overline {AB}[/tex], we get;
ABCD is a parallelogram [tex]{}[/tex] Parallelogram side theorem
The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.
Bob walked 20 miles in 4 hours. Kelly walked 14 miles in 3 hours. Are these rates proportional
Answer:
No
Step-by-step explanation:
20/4=5
14/3=4.67
Since they're not the same, they're not proportional.
Answer:
not proportional
Step-by-step explanation:
First , let's find the speed of each person by dividing the distance traveled and the time.
Using B to represent Bob's speed and K to represent Kelly's speed , we have:
[tex]B=\frac{20}{4} = 5 mph\\K=\frac{14}{3}= 4.666 mph\\\\[/tex]
The speeds 5 and 4.666 are not multiples , so they are NOT proportional.
PLEASE MARK ME BRAINLIEST
Marin spends 28% of her monthly income for a Loan payment. her loan payment is rupees 1,736. What is her monthly income?
Answer:
6200 rupees
Step-by-step explanation:
Think the monthly income x
According to the question
The equation is
x×28%=1736
x×28/100=1736
x=1736÷28/100
x=1736×100/28
x=62×100
x=6200
So monthly income is 6200 rupees
Answer:
[tex]6200\ Rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\[/tex]
[tex]\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\[/tex]
someone help me please
Answer:
The answer is B
Step-by-step explanation:
The solution is -3 by the way
Madeline drives 15 miles in 12 minutes. If she drove three hours in total at the same rate, how far did she go?
Before you try that problem, answer the question below.
How many minutes did Madeline drive in total?
Answer:
225 miles in total
Step-by-step explanation:
a= -3i
g=2i - 1lj
Find: -a - g
Answer:
Step-by-step explanation:
Given:
a= -3i
g=2i - 1lj
Solve:
-a - g
If l is an L then
-(-3i) - (2i-1lj)
i + lj
If I is an i then
-(-3i) - (2i-1ij)
i + ji
PLZ HELP ITS URGENTTTT FIRST TO ANSWER WILL BE BRAINLIEST
3x³y²/9xypower 5
triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'.
Answer: (x,y) —> (x-6, y+4)
Step-by-step explanation:
Answer:
(x,y) —> (x-6, y+4)
Step-by-step explanation:
:)
a rectangular prism is 5 in Long 8 inch wide and 10 inches tall what is the length of its longest diagonal
In comparison to 2/3 where would 4/6 on number line
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction numbers are given below.
2/3 and 4/6
Convert the fraction into the simplest fraction, then we have
4 / 6 = 2 / 3
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
More about the number line link is given below.
https://brainly.com/question/13189025
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A building has 17 floors of offices above ground and 5 floors below ground. Kaylea parks on the 4th floor below ground and has an office on the 15th floor. The ground floor is zero. How many floors must she go up from her car to her office?
Answer:
19 floors
Step-by-step explanation:
Let us consider the ground floor as 0 and the floors above it as positive and the floors below the ground floor as negative.
So, the floor in which she parked is -4 and the floor where her office is at +15.
The number of floors she has to climb is the absolute value of the difference of the two floors.
The number of floors she has to go up is [tex]|-4-15|=19[/tex].
At Irtaza's Deli he is selling 7 oranges for $5.99 and Brianna's Food Mart is selling them 10 for $8.99. Where would you go shopping and why?
Answer:
At Irtaza's Deli
Step-by-step explanation:
For this you should find the unit price and whichever is less is where you should go.
(1) Irtaza Deli:
First I would round the 5.99 to 6 then we'll do 6 divided by 7.
[tex]\frac{6}{7}=.8571428571=.86[/tex]
(2) Brianna's Food Mart:
First I would round the 8.99 to 9 then we'll do 9 divided by 10.
[tex]\frac{9}{10}=.9[/tex]
Now let's compare:
So the first store sells oranges for $.86 and the second store sells them for $.90. I don't know about you but I would go to the first store they would be much more cheaper.
A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 ft wide on all sides. The length of the sandbox is 4 ft more then width, and the total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.
Answer:
Dimensions:
Length = 13.256m
width = 9.256m
Step-by-step explanation:
Let the length of the sandbox be = l and its width be = w
The length of the sandbox is 4 ft more than the width.
This means that [tex]l = 4 + w[/tex] ----- equation 1
For the next step, we will be assuming that the strip of grass is a perfect rectangle. The length of the grass strip will be equals to the length of the sandbox.
Area of the grass = length X width = [tex](4 +w) \times 5= 5(4+w)[/tex]------ equation 2
The total area for the sandbox and the grass is 189 square feet.
This means that
[tex](w \times (4+w)) + 5(4+w)=189\\w^2+4w+20+5w=189\\w^2+9w-169=0\\w=9.256m[/tex]
(Kindly note that the positive value for the width was chosen as length cannot be negative).
Now that we have our width, we can put this into equation 1 to get the length.
[tex]l=9.256+4=13.256m[/tex]
15 – (3 + 4) + 7 x 2 – 3 2
Answer:
-10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
15 - (3 + 4) + 7 × 2 - 32
Step 2: Evaluate
(Parenthesis) Add: 15 - 7 + 7 × 2 - 32Multiply: 15 - 7 + 14 - 32Subtract: 8 + 14 - 32Add: 22 - 32Subtract: -10Solve x−5≥1. please help me quick
Answer:
x greater than or equal to 6
[6, infinity)
Step-by-step explanation:
x-5+5 greater than or equal to 1+5
Step-by-step explanation:
x=6
[tex]x - 5 \geqslant 1[/tex]
[tex]x - 5 + 5 \geqslant 1 + 5 [/tex]
[tex]x \geqslant 6[/tex]
what are the like terms in this exspression 9a-3b + 4ab
Answer:
none of these terms are like terms
Answer:
there is no like terms in this expression
Step-by-step explanation:
there is "a", "b" and "ab"
you cant combine anything because they are all different
Hope this helps!!