Answer:
A = 25 units²
Step-by-step explanation:
First, figure out where the lines intersect.
Let's start with x = 0 and y = x:
because x = 0, substitute x in y = x
y = 0 so the intersection point of these two lines is (0,0)
With, x + y = 10 (or y = 10 - x) and x = 0:
substitute x again y = 10 - 0, so y = 10 and the intersection point is (0,10)
The last point has to be found by setting y = x and x + y = 10 (y = 10 - x) equal to each other: x = 10 - x
solve for x: x = 10 - x
2x = 10
x = 5
find y: y = 10 - 5
y = 5 and the intersection point is (5,5)
Now that you have the vertices of the triangle, you can find the area. (0,0) and (0,10) are on the y-axis and has a length of 10 units; this is your base. To find the height, you need to picture the triangle on the coordinate plane. Point (5,5) lines up with the midpoint (0,5) of the side with (0,0) and (0,10). From this, you can see that the height is 5 units.
Use the triangle area formula: A = 0.5bh
A = 0.5(10)(5)
= 0.5 × 50
A = 25 units²
Answer:
A = 25 units²
Step-by-step explanation:
a.
x = 40
c.
x = 20
b.
x = 10
d.
x = 15
Answer:
B
Step-by-step explanation:
Multiply x/20 each side
Answer:
b
Step-by-step explanation:
20/x=2
*x *x
20=2x
:2 :2
10=x
Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?
Answer:
5.06
Step-by-step explanation:
1 2/3 = 1/3
x = 1 (cross multiply)
1/3 x = 1 2/3 (divide both sides by 1/3)
x = 5.06
Sorry the final answer is in decimal. I think better in decimal.
Answer:
Gabe can wrap 5 presents in an hour.
Step-by-step explanation:
So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.
Brainliest would be appreciated.
I hope that I was able to help you.
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay. A. linear decreasing B. exponential growth C. exponential decay D. linear increasing
Answer:
B
Step-by-step explanation:
it is exponential growth because the graph isn't linear and it the rate of change increases, so the only possible answer is b.
Given graph is representing the graph of exponential growth.
What is graph?" Graph is defined as the representation of relation between variables on the coordinates plane along x-axis and y-axis."
According to the question,
As per the given graph,
A. Linear decreasing : It is not a graph of linear decreasing function as it is not representing a straight line which intersect y-axis at (0, k) and x-axis at (h,0).
B. Exponential growth: For exponential growth [tex]y = ab^{x}[/tex] a>0 , b>1.
This graph representing the condition for exponential growth.
C. Exponential decay : For exponential decay [tex]y = ab^{x}[/tex] a >0 , 0 < b < 1.
Therefore , it is not a graph of exponential decay.
D. Linear increasing : It is not a graph of linear increasing function as it is representing a straight line which starts from (0,0) and increasing towards the first quadrant.
Hence, given graph is representing the graph of exponential growth.
Learn more about graph here
https://brainly.com/question/16608196
#SPJ3
Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
3. 1/9 feet^3
Step-by-step explanation:
First, find the volume of one cube.
The volume of a cube can be found using the following formula:
V=s^3
We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.
V= (1/3 ft)^3
Evaluate the exponent.
1/3 ft^3
=1/3 ft * 1/3 ft* 1/3 ft
=1/9 ft^2*1/3 ft
= 1/27 ft^3
V= 1/27 ft^3
Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.
1/27 ft^3 * 3
Multiply 1/27 and 3.
1/27 * 3/1
=(1*3)/(27*1)
=3/27
=1/9
V= 1/9 ft^3
The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.
Answer:
1/9; C
Step-by-step explanation:
V=s*s*s
Side Length: 1/3
V=1/3*1/3*1/3
V=1/27
1/27*3= 3/27
3/27 simplified eqauls 1/9
a particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at a rate of 24,600 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?
Answer:
a) How much water was released during the flood?
14878080000 cubic feet or 14,878,080,000ft³
b) What percentage of the dam was released during the flood?
0.78%
Step-by-step explanation:
a) How much water was released during the flood?
The first step would be to find out how many seconds are in a week
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
Hence, the number of seconds in a week =
1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)
= 604800 seconds
Therefore, the quantity of water released per week =
604800 seconds × 24,600 cubic feet per second
= 14,878,080,000 cubic feet or 14,878,080,000ft³
b) What percentage of the dam was released during the flood?
This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%
Quantity of water released during the flood in a week = 14,878,080,000 cubic feet
Quantity of water in the dam= 1,900,000,000,000 cubic feet of water
Percentage of the dam released during the flood =
14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100
= 0.7830568421%
Approximately = 0.78%
6.5+(-8.3)-(-1.6)+0.7-9.9
Answer:
-12.6
Step-by-step explanation:
OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting
Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent.
Answer:
Step-by-step explanation:
Sam always has eggs for breakfast. He either has boiled,
poached or fried eggs.
The probability that he has fried eggs is 0.65 and the
probability that he has poached eggs is 0.25.
a) What is the probability that he has boiled eggs?
b) Work out the probability that
i)He has boiled eggs on the first day and fried
eggs on the second
ii) He has fried eggs both days
iii) He has boiled eggs on at least one day
Answer:
a) 0.1 [ 0.10 ] probability
Step-by-step explanation:
Workout for a) question
Propability of hving boiled eggs + Propability of hving poached eggs + Propability of hving fried eggs = 100
x + 25 + 65 = 100
x=10
Writing as decimal
x=0.10=0.1
b)
i) 10 percent of hving boiled eggs on first day 65 percent of hving fried eggs in second day
ii) 65 percent of hving fried eggs on both days
iii) 10 percent propability of hving atleat one boiled egg in 1 day
Hope this helps....
Pls mark my answer as brainliest :)
Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4, 5)
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula:
[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
[tex]x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1[/tex]
Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5
Answer:
Step-by-step explanation:
B
Hi People, I have another question - Please help. Again, I will mark a Brainliest answer.
Answer:
Step-by-step explanation:
hello
a)
0+5=5, 1+5=6, 2+5=7, 3+5=8, 4+5=9, ...., 10+5=15
b)
2*0-1=-1, 2*1-1=1, 2*2-1=3, 2*3-1=5, 2*4-1=7, .... 2*10-1=19
hope this helps
In order to solve for the variable in the equation 1-(x+2)+ 2X= 5(2x-5)- Mikel first applies the distributive property.
Which equation is a result of this step?
O 1 - X+2+2x– 10x-5-X
O 1-x-2+2x– 10x-25-
O 1- x-1+2x = 10x-25- X
O 1-X-1+ 2x - 10x-5-X
Nex
Submit
Save and Exit
Mark this and retum
WILL AWARD BRAINLIEST
What is the value of x?
Answer:
Option (3)
Step-by-step explanation:
By applying mean proportional theorem in the given triangle ABC,
[tex]\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}[/tex]
AD × CD = BD²
(x)(4x) = (10)²
4x² = 10²
4x² = 100
x² = [tex]\frac{100}{4}[/tex]
x = [tex]\sqrt{25}[/tex]
x = 5
Therefore, measure of segment AD Or x = 5 units
Option (3) will be the answer.
Which is the graph of the system x+3y>-3 and y<1/2x+1?
Answer:
The y-intercept of the first inequality is -1.
The y-intercept of the second inequality is +1.
The fourth graph has these correct.
What is the slope of the line with equation y−3=(x−2)?
Answer:
1
Step-by-step explanation:
The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.
Answer:
1
Step-by-step explanation:
y - 3 = (x - 2)
Solve for y. Then when the equation is in the slope-intercept form, y = mx + b, m is the slope.
y - 3 = x - 2
Add 3 to both sides.
y = x + 1
Compare to y = mx + b: y = 1x + 1
m = 1
Answer: The slope is 1.
Solve the following system of equations by elimination. What is the value of x?
Answer:
Answer is x = 3
Step-by-step explanation:
x = 2+ 1/2 * 2
x = 3
Answer:
x= 3 and y = 2 is the answer..
Inez rides a bike with 24 inch (2 feet) wheels. What is the distance he can travel in 1500 revolutions?
Answer:
9420 ft
Step-by-step explanation:
1500 revolutions = 1500 full rotations or 360 degrees
Circumference = 6.28 ft ( 3.14 x 2 )
Then we take rotations by the circumference
1500 x 6.28 = 9420
MARK AS BRAINLIEST
Answer:
9420 ft or 2.88 km
Step-by-step explanation:
d= 2 ft
1500 revs
C= πd= 3.14*2= 6.28 ft
distance= 1500*6.28= 9420 ft ≈ 2.88 km
Please help with this
Answer: x = 10
Step-by-step explanation:
Hi, to answer this question we have to apply proportions, since the sides are equivalent.
15/25
6/x
So, for equal ratios:
15/25 = 6/x
Solving for the missing side x:
x = 6 / (15/25)
x = 10
In conclusion, the correct option is D) 10
Feel free to ask for more if needed or if you did not understand something.
4)
If the first three Fibonacci numbers are x, = 1, .x = 1, x3 = 2,
what is the value of n for which .x. +x... + x = 68?
Answer:
The value of n for which xₙ₋₂ + xₙ₋₁ + xₙ = 68 is n = 9
Step-by-step explanation:
The nth term of Fibonacci number is given by the following relation;
[tex]F_n = \dfrac{(1 + \sqrt{5} )^n - (1 - \sqrt{5} )^n }{2^n\sqrt{5} }[/tex]
Given that we have ;
[tex]\Sigma x_n = \dfrac{(1 + \sqrt{5} )^{n-2} - (1 - \sqrt{5} )^{n-2} }{2^{n-2}\sqrt{5} } + \dfrac{(1 + \sqrt{5} )^{n-1} - (1 - \sqrt{5} )^{n-1} }{2^{n-1}\sqrt{5} }+\dfrac{(1 + \sqrt{5} )^{n} - (1 - \sqrt{5} )^{n} }{2^{n}\sqrt{5} }[/tex]When n = 3, we have;
∑xₙ = 4
When n = 4 we have
∑xₙ = 4
When n = 6 we have
∑xₙ = 16
When n = 9 we have
∑xₙ = 68
Therefore, we have the value of n for which xₙ₋₂ + xₙ₋₁ + xₙ = 68 is n = 9.
is this right? someone please help! i’ll give brainliest :)
Answer:
you're right
Step-by-step explanation:
2 + 5x ≥ 52
5x ≥ 50
x ≥ 10
7 - x > -2
-x > -9
x < 9
Answer: Yes
The only difference between simplifying equations and inequalities is that if you ever divide both sides by a negative, flip the sign.
Hope it helps <3
The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.
Answer:
28 cm
Step-by-step explanation:
V=a³
a= ∛V= ∛21952 cm³ = 28 cm
Answer:
28 is the answer because you have to find the cube root of the volume.Step-by-step explanation:
28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.
Hope this helped,
Kavitha
Find the x-intercepts for the parabola defined
by this equation:
y=2x^2+ 4x - 6
Write your answer as two ordered pairs:
(x1.yı), (x2, y2)
Answer:
(-3,0) (1,0)
Step-by-step explanation:
y=2x^2+ 4x - 6
Factor out the greatest common factor
y = 2( x^2 +2x -3)
Factor inside the parentheses
y = 2( x+3)(x-1)
Setting the equation equal to zero to find the x intercepts
0 = 2( x+3)(x-1)
Using the zero product property
x+3 = 0 x-1 =0
x = -3 x = 1
The x intercepts are
(-3,0) (1,0)
If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?
10
20
26
50
Answer:
50 degrees
Step-by-step explanation:
The diagram is attached below.
Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.
By the theorem stated above:
m∠3+m∠5=m∠1
2x+20+30=3x
3x-2x=50
x=50
The value of x is 50 degrees.
Answer:
50
Step-by-step explanation:
right triangle ABC has area 32√3cm^2. The measure of <A = 30, m<B=90. What is the length of BC? AB? AC? Express all answers in simplest radical form.
"sqrt" stands for "square root"
=======================================================
Explanation:
Angle C is 60 degrees because adding the angles gets A+B+C = 180. Put another way, C = 180-A-B. Therefore, C = 180-30-90 = 60.
We have a 30-60-90 triangle with
BC as the short leg (since it is opposite the smallest angle A = 30)AB as the long leg (because it is opposite the medium angle C = 60)AC as the hypotenuse (it is opposite the largest angle, so AC is the longest side)Check out the diagram below.
----------
From here, we use the 30-60-90 triangle template. The short leg is x, the hypotenuse is 2x and the long leg is x*sqrt(3). The area of this template triangle is
area = 0.5*base*height
area = 0.5*(short leg)*(long leg)
area = 0.5*x*(x*sqrt(3))
area = 0.5*x^2*sqrt(3)
set this equal to 32*sqrt(3) and you should find that 0.5x^2*sqrt(3) = 32*sqrt(3) solves to x = 8
----------
Therefore we can say,
BC = short leg = x = 8AB = long leg = x*sqrt(3) = 8*sqrt(3)AC = hypotenuse = 2x = 16Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
x y
0 -6
1 -9
2 -12
3 -15
4 -18
A. quadratic; y = -x^2 - 2x
B. exponential; y = -6 • 1.5x
C. linear; y = -3x - 6
D. quadratic; y = -x^2 + 2x - 6
Answer: The correct answer is c
Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6
Answer:
exponential; y = –6 • 1.5x
Step-by-step explanation:
1.5 x 1 = 1.5
1.5x-6= -9
If A=(0,0) and B=(6,3), what is the length of AB?
Answer:
3√5 unitssolution,
A(0,0)---->(X1,y1)
B(6,3)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]
Hope this helps...
Good luck on your assignment..
help will give brainliest
Answer:
c. quadrant 111
Step-by-step explanation:
Answer: Quadrant IV
or 4
Step-by-step explanation:
Because quadrant 4 has both positive and negative, x is positive, y is negative, 7 is positive and -5 is negative.
Find the value of the following expression: (3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28
sorry if this is overwhelming!!! Trying to put this out there for this Awful end exam
Answer:
4
Step-by-step explanation:
(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28 =
= 3^-16 x 2^10 x 1 x 2^-8 x 3^-12 x 3^28
= 3^0 x 2^2
= 4
helppppp Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
1/9 cubic feet
Step-by-step explanation:
The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.
Are quadrilaterals ABCD and EFGH similar?
Answer:
Option 1
Step-by-step explanation:
To check that quadrilaterals ABCD and EFGH are similar, we'll take the proportion of any of their two sides and check whether they are equal or not.
=> [tex]\frac{3}{2} = \frac{5}{4}[/tex]
Cross Multiplying
=> 3 * 4 = 2 * 5
=> 12 ≠ 10
Since, the proportion is not equal, the quadrilaterals are not similar