Answer:
SA = 108 ft^2
Step-by-step explanation:
The front and back faces are triangles with 4 ft base and 3 ft height.
The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.
The surface area is the sum of the areas of the two triangles and the three rectangles.
SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft
SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2
SA = 108 ft^2
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A.
Step-by-step explanation:
Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.
The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.
The area of the rectangle with a length of 20mm and height of 14 mm is,
Area of the rectangle = 20mm × 14mm
= 280 mm²
The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,
Area of the triangle = (1/2) × 6mm × 14mm
= 42 mm²
Now, the total area of the given figure can be written as,
The total area of the given figure
= Area of the rectangle + Area of the triangle
= 280 mm² + 42 mm²
= 322 mm²
Hence, the area of the given figure is 322 mm².
Learn more about the Area here:
https://brainly.com/question/1631786
#SPJ5
2. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
Math Question (10 Points):
Answer:
Step-by-step explanation:
We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)
Based on this the answer is horizontol plane and x coordinate
m∠1=36°, m∠4=49°, m∠6=131°. Find m∠9. A. 144 B. 242 C. 216 D. 36
Answer:
<9 =144
Step-by-step explanation:
<1 + <4 + < 6 + <9 = 360
36+ 49+ 131 + <9 = 360
216 + < 9 = 360
< 9 = 360-216
<9 =144
Answer:
A. 144
Step-by-step explanation:
Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.
Angles 1 and 9 are a linear pair, so they are supplementary.
m<9 + m<1 = 180
m<9 + 36 = 180
m<9 = 144
Someone pls help . Thank you sm ! i forgot how to do this lol .
Answer:
x = - 20, h = 34
Step-by-step explanation:
i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20
-32 = 2-h
+32 . +32
0=34-h
+h . +h
34=h
flip
h=34
help me i need help i am bad at math
Answer:
4x10⁷is more than 4x10¹⁰
Find the value of y and x.
Answer:
x = 130°y = 65°Step-by-step explanation:
All inscribed angles intercepting the same arc have the same measure.
If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:
y = 65°.
The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.
x = 130°.
Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?
Answer:
Step-by-step explanation:
The polynomial function f (x) = 5 x Superscript 5 Baseline + sixteen-fifths x minus 3 is graphed below. On a coordinate plane, point P is shown on the graph of a function. Point P is at (0.6, 0). Which is a potential rational root of f(x) at point P?
Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Read more about potential rational roots at:
https://brainly.com/question/7594092
What is 3 divided by 2,127
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]3\ \div \ 2127[/tex]
[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?
Answer:
9.49
Step-by-step explanation:
Add the price of the chips and salsa to the price of the tacos
5.50
+3.99
---------------
9.49
Answer: $9.49
Step-by-step explanation:
0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49
$5.50
+$3.99
————
$9.49
find the value of a answers: a:15 b:14 c:19 d:16
Answer:
6a+10= 3a+55
6a-3a= 55-10
3a= 45
a= 45/3
a= 15
The answer is (A) 15
Hope this helps^°^
Answer:
A. 15
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.
[tex]6a+10=3a+55[/tex]
Now, solve for a. We must get a by itself on one side of the equation.
First, subtract 3a from both sides of the equation.
[tex]6a-3a+10=3a-3a+55[/tex]
[tex](6a-3a)+10=55[/tex]
[tex]3a+10=55[/tex]
Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.
[tex]3a+10-10=55-10[/tex]
[tex]3a=55-10[/tex]
[tex]3a=45[/tex]
3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3
[tex]3a/3=45/3[/tex]
[tex]a=45/3[/tex]
[tex]a=15[/tex]
The value of a is 15 and choice A is correct.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle a across the y-axis and then translate triangle a 5 units down. B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin.
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin
The triangle is shifted 4 units downwards and then is rotated about the origin.
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.Given are triangles A and B.
Transformation 1 : The triangle is shifted 4 units downwards.
Transformation 2 : The figure is rotated about the origin.
Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.
To solve more questions on dilation, visit the link below -
brainly.com/question/2859427
#SPJ5
Help, please show work
Answer:
132
Step-by-step explanation:
If US bisects the angle then
BUS = SUL
2x+10 = 3x-18
Subtract 2x from each side
2x+10 -2x = 3x-18-2x
10 = x-18
Add 18 to each side
10+18 =x
28 =x
We want to find BUL
BUL = BUS + SUL
2x+10 + 3x-18
5x-8
5*28 -8
140-8
132
Answer:
m<BUL=132
Step-by-step explanation:
Since US bisects <BUL, we know that <BUS ≅ <SUL
This is based on the angle bisector definition.
Hence, we can set up an equation to solve for x.
<BUS≅<SUL
2x+10=3x-18
Subtract 10 from both sides
2x+10-10=3x-18-10
2x=3x-28
Subtract 3x from both sides
2x-3x=3x-3x-28
-x=-28
Divide both sides by -1
x=28
m<BUL is the sum of m<BUS and m<SUL
m<BUL=m<BUS+m<SUL
m<BUS=2x+10
m<SUL=3x-18
Plug it in
m<BUL=2x+10+3x-18
Combine like terms
m<BUL=5x-8
Plug in 28 for x
m<BUL=5(28)-8
m<BUL=140-8
m<BUL=132
you move up 7 units and left 6 units. you end at (-1,5). where did you start?
Answer:I beleive it is (5,-2)
Step-by-step explanation:
I NEED THE ANSWER ASAP
The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.31 days. At what rate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of a smoker per year
Answer:
57.8
Step-by-step explanation:
We can set up a proportion for this, assuming x is the smokers lost in 365 days.
[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]
Using the cross products property, we know that x will be equal to:
[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]
Hope this helped!
7/13 + 1/5 (its in fractions)
Answer:
48 ÷ 65
Step-by-step explanation:
hope it helps you
Answer:
[tex]\frac{48}{65}[/tex]
Step-by-step explanation:
Step 1: Find LCM for denominators
13(5) = 65
So we need to convert our fractions to add them
Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5
[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]
Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13
[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]
Step 4: Add the converted fractions
[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]
And we have our answer!
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)
===================================================
Explanation:
A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.
The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where
a = 1
b = 8
c = -2
Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.
h = -b/(2a)
h = -8/(2*1)
h = -4
The x coordinate of the vertex is x = -4. Plug this into the original equation to get
f(x) = x^2+8x-2
f(-4) = (-4)^2 + 8(-4) - 2
f(-4) = -18
Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)
------------
Alternatively, you can complete the square as shown below
y = x^2 + 8x - 2
y = (x^2 + 8x) - 2
y = (x^2 + 8x + 0) - 2
y = (x^2 + 8x + 16 - 16) - 2
y = (x^2 + 8x + 16) - 16 - 2
y = (x+4)^2 - 18
y = 1(x+4)^2 - 18
y = 1(x-(-4))^2 - 18
The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.
PLEASE HELP ME WITH THIS QUESTION FOR HOMEWORK!!!!!!!!!!
Answer:
Angle MON is equal to 130 degrees.
Step-by-step explanation:
We are told LON is 180 degrees.
Angles LOM and MON are supplementary meaning they add to 180 degrees.
Using this information we know 12x+120=180.
We can use the subtractive property of equality to subtract 120 from both sides.
Do thins we get 12x=60.
Using the division property of equality we can divide both sides by 12 to get x=5.
We can then use the substitution property of equality to get MNO=8(5)+90.
We can then simplify to get MNO=130.
A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
Describe the end behavior of the graph of f(x) = x^3 (x + 3)(-5x + 1) using limits.
Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
the midpoint of Sally’s house and school. What coordinate represents Molly’s house?
A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)
Answer:
B. (−2, 3)
Step-by-step explanation:
To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.
x: (5 + (-9))/2 = -2
y: (-1 + 7)/2 = 3
Midpoint: (-2, 3)
Answer: B. (−2, 3)
Answer:
b
Step-by-step explanation:
-9+5=-4÷2=-2
-1+7=6÷2=3
Use the model below to find the area of the shaded region.
Answer:4/12
Step1- 3 times 4 is 12
Step2- count how many twelvths are shaded
Step3- 4 twelvths are shaded
Answer: 4/12
Answer:
C. 1/3 square yard
Step-by-step explanation:
Given:
The length of shaded area = 2/3 yardThe width of shaded area = 2/4 yardTo find:
The area of shaded regionSolution:
The shaded region is a rectangle. Area of a rectangle is the product of the length and width:
Area = 2/3 yard * 2/4 yard = 1/3 square yardAnswer choice: C. 1/3 square yard
P. The inventory of a store 2 years ago was worth $45,000. This year it is
worth $49,500. What is the percent increase? Show your work
Answer:10% increase
Step-by-step explanation:
49500-45000=4500
4500/45000=0.1
0.1x100=10
10% increase
Answer:
10%
Step-by-step explanation:
follow the rules of calculating percentages.
fractions, decimals, etc.
pls mark brainliest
During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during the
next 25-year period, it increased by only 1%. Which of these conditions must have existed during the
second 25-year period?
A. Conflation
B. Deflation
C. Inflation
D. Stagnation
For the next 25-year period,(CPI) is increased by only 1% due to Inflation and Stagnation.
What is Stagnation ?
Stagnation is a situation of slow economic growth and relatively high unemployment (which basically means that aggregate production is reducing and some of the inputs of the economy, such capital or labor, are unemployed) , accompanied by rising prices, or inflation.
In terms of national accounting, it means a reduction in gross domestic product (GDP), with inflation (rise in all prices in the economy).
In terms of aggregate demand and supply models, stagnation is the result of a contraction of aggregate supply, which ceteris paribus, results in lower levels of production and higher prices.
Many theories have tried to explain this phenomena. Common interpretations link stagnation with and increase of the cost of production in the economy (that might be generated by an increase of gasoline for example), and its implications in the production (lower production because of higher costs), consequently unemployment and a rise of prices due to the increase of cost.
Here, During a certain 25-year period, the consumer price index (CPI) increased by 99% and during the next 25-year period, it increased by only 1% which shows slow economic growth which can be due to Inflation and Stagnation.
Learn more about "Inflation" here:
https://brainly.com/question/28190771
#SPJ2
Please help with 2 and 3 for maths
Answer:2-4=
Step-by-step explanation:y-16-(-42)
y-16+16
y-32
y-16-(-22)
y-16+4
y-20
y-16-(02)
y-16
y-16-(42)
y-0
Answer:
The answer is 2-4
Step-by-step explanation:
if
[tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]
what is the possible value of t?
Answer:
t= 0
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
[tex]log_{b}[/tex] 1 = 0
Given
[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then
[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t
[tex]log_{x}[/tex] 1 = t , thus
t = 0
Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?
Answer:
(7, -5.5)
Step-by-step explanation:
is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5
Please help ASAP!!!!!!!
Answer:
$86.81
Step-by-step explanation:
Using the given formula, we want to compute A for ...
P = 4750
r = 0.2279
n = 365 . . . . . assuming "exact" interest
t = 1 or 30
For 1 day late:
A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97
For 30 days late:
A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78
The difference in these payment amounts is ...
$4839.78 -4752.97 = $86.81
You would save $86.81 in interest charges by paying only 1 day late.
_____
Comment on the question
It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.
6.21(3.1) answer for number 6