Answer:
slope = [tex]\frac{1}{5}[/tex]
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 ) = (3, 9) and (x₂, y₂ ) = (- 2, 8)
m = [tex]\frac{8-9}{-2-3}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
The formula P = a + b + c gives the perimeter P of a triangle with side lengths a, b, and c. How much greater is the perimeter of a triangular field with sides that measure 92 yards, 95 yards, and 84 yards than the perimeter of a triangular field with sides that measure 85 yards, 90 yards, and 56 yards?
Answer:
40 yards greater
Step-by-step explanation:
Perimeter of a triangle, P = a + b + c
perimeter of a triangular field with sides that measure 92 yards, 95 yards, and 84 yard
P = a + b + c
= (92 + 95 + 84) yards
= 271 yards
perimeter of a triangular field with sides that measure 85 yards, 90 yards, and 56 yards
P = a + b + c
= (85 + 90 + 56) yards
= 231 yards
perimeter of a triangular field with sides that measure 92 yards, 95 yards, and 84 yard is 40 YARDS GREATER than perimeter of a triangular field with sides that measure 85 yards, 90 yards, and 56 yards
Your order a $1.99 drink, a $9.99 burger & fries and a $2.49 dessert at Applebee's. The tax rate is 7.5% and you plan on tipping 15%. What will the total price be?
Greta has budgeted $1,500 to have a concrete patio poured in her backyard like the one shown. The cost per square foot of the concrete is $5.50. Find the cost of the patio to determine if Greta has budgeted enough money to complete the project.
Answer:
Yes the amount Greta has budgeted ($1,500) is enough to complete the project which will cost $1,443.75
Step-by-step explanation:
The amount Greta has budgeted to have a concrete patio = $1,500
The cost (per square foot) of the concrete, C/Ft² = $5.50/ft²
From the dimension of the backyard, we have;
The total area, A = The area of a rectangle + The area of a trapezium
The area of the rectangle = 6 ft. × 28 ft. = 168 ft.²
The area of the trapezium = (8 ft. + (28 ft. - 15 ft.))/2 × (15 ft. - 6 ft.) = ((8 ft. + 13 ft.)/2) × 9 ft. = 94.5 ft.²
The total area, A = 168 ft.² + 94.5 ft.² = 262.5 ft.²
The total cost of the concrete, C = A × C/Ft²
∴ C = 262.5 ft.² × $5.50/ft² = $1,443.75
Therefore, given that Greta budgeted $1,500 for the project which is more than the $1,443.75 required, Greta has budgeted enough money to complete the project
6
The graph of the equation y = 3 +2 is displayed.
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
4
4
2
6
y = 7x + 2
O y = 3x+5
y-2-5
Dy-2 = 4x
3y = -92-6
2
The lengths of the sides of a triangle are 9, 12, and 14. Classify the triangle as acute, right, or obtuse.
Answer:
Step-by-step explanation: sleep
The triangle with sides 9 , 12 and 14 is an acute triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the Triangle be ΔABC
Let the three sides of the Triangle be
First side = AB
Second side = BC
Third side = CA
Now , the three sides are having lengths as
AB = 9
BC = 12
CA = 14
Now , from the Pythagoras Theorem ,
If , base² + height² = hypotenuse² , it is a right angled triangle
If , base² + height² > hypotenuse² , it is a acute angled triangle
If , base² + height² < hypotenuse² , it is a obtuse angled triangle
So , substituting the values , we get
AB² + BC² > AC²
So ,
9² + 12² > 14²
81 + 144 > 196
225 > 196
Therefore , the triangle ABC is an acute angled triangle
Hence , The triangle with sides 9 , 12 and 14 is an acute triangle
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Let set A = (1,3,5,7) and set B(1,2,3,4,5,6,7,8)
Which notation shows the relationship between set A and set B7 (2 points)
84 = 7d A. 8 B 12 C. 77
Answer:
B
Step-by-step explanation:
84=7d
Divide by 7
12=d
*WILL GIVE BRAINLEIST FOR THE BEST ANSWER* At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of this building, using the scale 250 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
_______ m
Question 4 options:
A. 0.8
B. 4
C. 2
Answer:
0.8
Step-by-step explanation:
0.8x250=200, which is the closest tenth of a decimal.
Answer:
A. 0.8m
Step-by-step explanation:
1m/250m
1m/250m = x(m/212m
x=212/250
x=0.848
0.848m=0.8m
Please help!!!!!!!! PLEASE
Answer:
the correct answer is 6....
it takes Diego 1/24 of an hour to complete a lap on a circular bike track. The track is 1/3 mile long. What is Diego's bike speed?
Answer:
Step-by-step explanation:
Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). What are the coordinates of X'?
Given:
Line segment XY is located at X(2, 6) and Y(4,8).
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).
To find:
The coordinates of X'
Solution:
If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is
[tex](x,y)\to (2(x-(-3))+(-3),2(y-4)+4)[/tex]
[tex](x,y)\to (2(x+3)-3,2y+2(-4)+4)[/tex]
[tex](x,y)\to (2x+6-3,2y-8+4)[/tex]
[tex](x,y)\to (2x+3,2y-4)[/tex]
The coordinate of X are (2,6).
[tex]X(2,6)\to X'(2(2)+3,2(6)-4)[/tex]
[tex]X(2,6)\to X'(4+3,12-4)[/tex]
[tex]X(2,6)\to X'(7,8)[/tex]
Therefore, the coordinates of X' are (7,8).
Dan hearns £8.60 per hour. how much will he earn for 9 hours? help me pls
Step-by-step explanation:
Simply multiply: 8.60 × 9
Answer:
£ 77.40
Step-by-step explanation:
Money earned per hour = £ 8.60
Money earned in 9 hours = 8.60 * 9
= £ 77.40
Write the linear equation in slope-intercept from the information given.
Point (2, -4)
Slope = -3
(A) y=−3x−2
(B) y=−3x+2
(C) y=1/3x−6
(D) y=1/3x+6
Answer:
B) y = -3x+2
Step-by-step explanation:
plug (2,-4) and -3 into y = mx + b to find 'b'
-4 = -3(2) + b
b = -4+6 = 2
In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11
Answer:
Population of wolves in 2016 = 23
Step-by-step explanation:
Equation of the line of best fit has been given as,
y = 1.5x - 1
Here, y = population of a pack of wolves
x = duration (in years) since year 2000
Duration between year 2000 and 2016 = 16 years
Now we substitute the value x = 16 in the equation of line of best fit,
y = 1.5(16) - 1
y = 24 - 1
y = 23
Therefore, population of wolves in 2016 = 23
PLZ HELP I WILL GIVE BRAINLIEST
Answer:
the third one
Step-by-step explanation:
bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense
The vertices of a triangle are A (4,-2), B(4,-4), C(12, -4). If the triangle is dilated by a scale factor of 1/4 what will be the coordinates of C'?
Answer:
(3, -1)
Step-by-step explanation:
12×1/4=3
-4×1/4=-1
The coordinates of C' after dilation with a scale factor of 1/4 are (7, -3).
To find the coordinates of C' after dilation, we need to apply the scale factor to the original coordinates of C (12, -4). Since the triangle is dilated with respect to the origin, we can calculate the new coordinates by simply multiplying the original coordinates by the scale factor, which is 1/4.
C' coordinates: (12 * 1/4, -4 * 1/4) = (3, -1)
However, since the triangle is not dilated with respect to the origin, we need to adjust the coordinates according to the translation of the dilation center. In this case, the dilation center is at vertex A (4, -2).
Translation vector: (4 - 0, -2 - 0) = (4, -2)
Final coordinates of C': (3 + 4, -1 - 2) = (7, -3)
So, the coordinates of C' after the dilation are (7, -3).
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ASAP!!!!!! what is the common denominator for 1/8 7/18 I NEED HELP!!1
Answer:
72
Step-by-step explanation:
1/8 and 7/18 common denominator
can someone help me with this? ill give brainiest
Answer:
answer goes this way :
0
5
8
9
8
5
0
Answer:
0,5,8,9,8,5,0
Step-by-step explanation:
sub the values
Can anyone help me please I am so confused and stuck so please help
Avannah needs to buy a bag of dog food that will last for 2 weeks (14 days). She estimates that a 20 lb bag will be enough. Is she correct?
Answer:
Yes, she is correct.
Step-by-step explanation:
In the question it is given that Avannah wants to buy food for her dog that may lasts for 2 weeks (or 14 days). Dogs must serve food according to their breed and their weight. The diet of every dog is different. Avannah needs to feed her dog three times a day. So a 20 lb bag of food is enough for her to feed her dog for 2 weeks.
So it is the correct decision to get a 20 lb bag of food for her dog. It will last for 14 days.
What is the slope of the table:
х -5, -3, -1
y 0, 5, 10
Answer:
slope is 5/2
Step-by-step explanation:
(-5,0) (-3,5)
m = 5-0/-3-(-5)
m = 5/2
Write the equation of the line that passes through the points (1, -8) and (-4,4).
Put your answer in fully reduced point slope form, unless it is a vertical or horizontal
line.
Which of the following is NOT one of the angle measures?
I believe that 95 isn't one of the measures
six florists can make six floral arrangements in one half hour. Working at the same rate, how many flower arrangements can six florists make in 4 hours? Use the solve a simpler problem strategy . 84 arrangements 65 arrangements 48 arrangement
Answer: 48
Step-by-step explanation:
WILL GIVE BRAINLIEST!
What polynomial has quotient x2 + 4x − 4 when divided by x + 4?
Answer:
Expand by multiplying x2+4x-4 by multiplying by x+4. Distribute and get x3+8x2+12x-16. You can verify it is correct by dividing by x+4 and you will arrive at x2+4x-4.
Need help don’t like math help
Answer:
$21.81
Step-by-step explanation:
add the reduced number to the new number
Answer:
21.81
Step-by-step explanation:
add 1.05 to 20.76
I need help with these two questions please!!!please HeLp mE
Answer:
5, 2, 1, 2, 3
Step-by-step explanation:
Another name for the upper quartile is the _______ quartile.
the value of the expression. -5.6 - ( 3.4 - 6.8)
Answer:
-2.2
Step-by-step explanation:
Answer:
-19.04 + 38.08 = 19.04
HELP PLEASE
The wholesale price for a shirt is $7.50. A certain department store marks up the wholesale price by 50% . Find the price of the shirt in the department store.
Answer:
$11.50
Step-by-step explanation:
Percentage Increase=(Final Value−Starting Value/Starting Value)×100
so its x-7.50/7.50 = 50%
rearranging this it the original price will equal $11.25
Hope this helps!