Answer:
147°
Step-by-step explanation:
106°+139°+126°+141°+112°+129°+x =900°
753°+x = 900°
x = 900°-753°
x= 147° (sum of the interior angles of a heptagon=900°)
This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!
Answer: 302 cm2
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)
Surface area of a cube (SAC)= 6 x side length ^2
Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.
SAC = 5 x (2)^2 = 20 cm2
Since both cubes are equal, we simply multiply it by 2:
20 x 2 = 40 cm2 (surface area of the 2 green cubes)
Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw
Where:
w = width (5); l = length (11); h = height (5)
SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2
Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )
270+40-2(4) = 302 cm2
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
Share £90 in the ratio 1:5
HELP ME PLEASE
Answer:
the answer is 15:75
Step-by-step explanation:
(1+5)=6
£90/6=15
So, (1×15):(5×15)
=15:75
What is the area of this isoceles trapezoid?
7 2
Step-by-step explanation:
Answer:
72^2 units
Step-by-step explanation:
A=a+b/2×h
A=12+6/2×8
A=18/2×8
A=9×8
A=72^2units
How much would $100 invested at 6% interest compounded monthly be worth after 20 years? Round to the nearest cent.
Answer:$331.02
Step-by-step explanation:
you got it right on a p e x
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]
= [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .
Answer:
The median is the 268th observation.
Step-by-step explanation:
The mean of a data set is the value representing the entire data set.
The formula to compute the mean is:
[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]
The median of a data set is the middle most value in the data set.
For odd number of observations the median is given by:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
For even number of observations the median is given by:
[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]
In this case the mean number of votes per state is:
[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]
There are n = 535 observations, This value is an odd number.
Then the median of the electoral votes is:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
[tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]
Thus, the median is the 268th observation.
Answer:
To determine the mean number of electoral votes, add all of the votes in the table and divide by
✔ 50
.
There are a total of 535 electoral votes. The mean is
✔ 10.7
votes per state.
The median of the electoral votes is
✔ 8
.
Step-by-step explanation:
RSTU is a kite, m∠R= 130, and m∠S=80. Find m∠T.
a. 70
b. 80
c. 35
d. 65
Answer:
70°
Step-by-step explanation:
RSTU is a kite,
m∠R= 130m∠S=80m∠T=?Sum of 4 internal angles= 360°
m∠U=m∠S=80
m∠T= 360° - (130°+80°+80°)= 70°
Help me
-ayyyyy
Idk I’m just having fun
Answer:
Step-by-step explanation:
A
Answer:
i think its A happy to help ya :)
Step-by-step explanation:
HELP ANYONE PLEASE RIGHT ANSER ?!
Answer:
B.
Step-by-step explanation:
They all are alternating interior angles so they'll be congruent.
Answer:
B. Alternating interior angles are congruent
Step-by-step explanation:
The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.
Find the value of x
Answer:
The answer is 9
Step-by-step explanation:
56+(3x+7)=90 (In the picture it shows a 90 degree angle.)
Then, you can start solving the equation.
90-56=34
3x+7=34 (Subtract by 7)
3x=27 (Divide by 3 on both sides)
x=9
4n − m + 3p + 2m − n − p
Answer:
3n+m+2p
Step-by-step explanation:
group all like terms and solve.
so,
4n-n = 3n
-m + 2m = m
3p - p = 2p
Then, group them together: 3n+m+2p
If m vU = 70 and m st = 30 then m 2 = 20 50 35
Answer:
C.
Step-by-step explanation:
mVU = 70
According to a Theorem, mVU = 2(m<2)
So,
m<2 = mVU /2
m<2 = 70/2
m<2 = 35
Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]3x+4=-5y+8\\9x+11y=-8[/tex]
Rearrange the first equation and substitute it into the second equation.
[tex]3x=-5y+8-4\\3x=-5y-4[/tex]
(as we want 9x instead of 3x we are going to multiply this equation by 3)
[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]
Rearrange the first equation and substitute in our y value to solve for x.
[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]
Hence
[tex]y-x=-1-4=-5[/tex]
Use factoring to solve
2x^2-17x-35=0
Answer:
This does not factor
Step-by-step explanation:
2x^2-17x-35=0
Since the x^2 has a coefficient of 2
(2x ) ( x )
Looking at the factors of -35
-1 35 1, -35
-5 7 5, -7
We need to get to -17
You cannot factor this
-
What is the value of b in the equation b + 8 = 13? a 5 b 8 c 13 d 21
Answer:
a
Step-by-step explanation:
b+8=13.
first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.
so that would be b=13-8
Therefore,b=5(a)
Find the gradient of the line segment between the points (0,2) and (2,-8).
Answer:
slope = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)
m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5
The value of the gradient is -1/5.
How to find the gradient of a line?In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.
The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.
The given points are (0,2) and (2,-8).
Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,
Gradient = (y₂-y₁)/(x₂-x₁)
Substitute the corresponding values to obtain,
Gradient = (2-0)/(-8-2)
= -2/10
= -1/5
Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.
To know more about gradient click on,
https://brainly.com/question/24200465
#SPJ2
which expression is equivalent to 4(5x+3y)
Answer:
20x + 12y
Step-by-step explanation:
4 times 5x = 20x
4 times 3y= 12y
Step-by-step explanation:
I am going to assume that the equivalent expression is fully simplified.
To simplify this expression, we use the distributive method.
Using this method we get:
4·(5x+3y) = 4·5x+4·3y
Now that we have the terms seperated, simplify each of them:
4·5x + 4·3y = 20x + 12y
Our expression is now fully simplified so our answer is:
20x + 12y
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?
Answer:
550x100
Step-by-step explanation:
First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.
Which of the following represents a function?
Answer: C, a set of coords is only a function if it passes the vertical line test
Step-by-step explanation:
This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test
B easily fails the test just by visually looking at it. It fails the line test
C has different x values so this looks promising. It passes the line test
D has the number 5 correlating with multiple y values. It fails the line test
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
Answer:
62.5 %
Step-by-step explanation:
Take the original amount and subtract the new amount
32-12 = 20
Divide by the original amount
20/32 =.625
Multiply by 100 to get to percent form
62.5 %
If someone could help me thank you it’s geometry :(
Answer:
<1 = 119
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
<1 = 57+62
<1 = 119
Answer:
119
Step-by-step explanation:
3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)
(F) (-3,-5)
Answer:
D and B is the answer
Step-by-step explanation:
Here is a graph with the points
I need help with number 8 please help me
Answer:
Brainliest to me >:DStep-by-step explanation:
(3,2) (4,5)
-4 on the left number (3 and 4)
-3 on the right number (2,5)
creates:
A'(-1,-1) AND B'(0,2)
X2=
a. 48
b. 16
c. 12
Answer:
16
Step-by-step explanation:
x^2 = whole * part
x^2 = (6+2) * 2
x^2 = 8*2
x^2 = 16
Answer:
16
Step-by-step explanation:
Hope this helps.
If you find answers that say 48 for this same problem, they are incorrect. Please disregard them.
A jet flies from New York to Los Angeles , a distance of 2,450 miles, and then flies back. The speed from NY to LA was 140 mph faster than the speed from LA to NYIf the total time in the air was 12 hours, what was the jet's speed from NY to LA?
Answer:
Speed from NY to LA is 172 mph
Step-by-step explanation:
Let the jet’s speed from NY to LA be x mph.The speed form NY to LA would be (x-140) mph
Mathematically, we know that distance = speed * time
The total speed will x + x -140 = 2x-140
Now;
12(2x-140) = 2450
24x - 1680 = 2450
24x = 2450 + 1680
24x = 4130
x = 4130/24
x = 172.1 which is approximately 172 mph
What is the length of arc S shown below? In units
Answer:
24 units
Step-by-step explanation:
2πr(X/2π)
2π(8)(3/2π) = 24
Answer:
24cm
Step-by-step explanation:
i got it right on khan
Part 3. Identify the X intercepts for
y = (x+4)^2-9
Answer:
x = -1 or x = -7
Step-by-step explanation:
y = (x + 4)^2 - 9
To find x-intercept, set y = 0
=> (x + 4)^2 - 9 = 0
=> ( x + 1)( x + 7) = 0
=> x = -1 or x = -7
To find the x intercepts, plug in y = 0 and solve for x
y = (x+4)^2 - 9
0 = (x+4)^2 - 9 ... replace y with 0
9 = (x+4)^2
(x+4)^2 = 9
x+4 = plus/minus sqrt(9)
x+4 = sqrt(9) or x+4 = -sqrt(9)
x+4 = 3 or x+4 = -3
x = 3-4 or x = -3-4
x = -1 or x = -7 You have the correct answers. Nice work.-----------------------------------------------------------------
Checking each answer:
Plug x = -1 into the original equation. You should get y = 0 as a result
y = (x+4)^2 - 9
y = (-1+4)^2 - 9
y = (3)^2 - 9
y = 9-9
y = 0 .... so this confirms x = -1 as a solution
The same should apply for the other potential solution x = -7
y = (x+4)^2 - 9
y = (-7+4)^2 - 9
y = (-3)^2 - 9
y = 9-9
y = 0 .... this confirms x = -7 as well