Answer:
$3040
Step-by-step explanation:
5*4 = 20
↓
20*72=1440
↓
1440x2=2880
↓
80x2=160
↓
160+2880=3040
Hope this helps! :)
Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.
The square MATH has equal side lengths MA, TH, AT and HM
Hanna's claim is correct because
The side lengths are equal.Opposite sides have the same slopeThe slopes of adjacent sides are opposite reciprocalsHow to prove that Hannah is correct?The coordinate points are given as:
M(1, 2), A(-5, 3), T(-6,-3), and H(0,- 4).
Calculate the side lengths of the square using the following distance formula
d = √[(x2 - x1)^2 + (y2 - y1)^2]
So, we have:
MA = √[(1 + 5)^2 + (2 - 3)^2] = √37
AT = √[(-5 + 6)^2 + (3 + 3)^2] = √37
TH = √[(-6 + 0)^2 + (-3 + 4)^2] = √37
HM = √[(0 - 1)^2 + (-4 - 2)^2] = √37
The side lengths are equal.
Next, we calculate the slopes using:
m =(y2 - y1)/(x2 - x1)
So, we have:
MA = (2-3)/(1+5) = -1/6
AT = (3+3)/(-5+6) = 6
TH = (-3+4)/(-6+0) = -1/6
HM = (-4-2)/(0-1) = 6
See that opposite sides have the same slope
i.e MA = TH and AT = HM
And adjacent sides have their slopes to be opposite reciprocals
i.e. MA = -1/AT and TH = -1/HM
The calculated distances and slopes implies that Hanna's claim is correct
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What percent of children who have a birthday party at home are between 5
and 10?
The percentage of children who have a birthday party at home between 5
and 10 is 3.69 %
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Total number of children = 325
The number of children that have parties at home between the 5 - 10 age group.
= 12
Now,
The percentage of children who have a birthday party at home between 5
and 10.
= 12/325 x 100
= 3.69 %
Thus,
The percentage of children who have a birthday party at home between 5
and 10 is 3.69 %
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Find the equation (in terms of ) of the line through the points (-4,5) and (1,-1)
y =?
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{1+4}\implies -\cfrac{6}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-4)}) \implies y-5=-\cfrac{6}{5}(x+4) \\\\\\ y-5=-\cfrac{6}{5}x-\cfrac{24}{5}\implies y=-\cfrac{6}{5}x-\cfrac{24}{5}+5\implies y=-\cfrac{6}{5}x+\cfrac{1}{5}[/tex]
Solve the inequality. 2(4x – 3) ≥ –3(3x) 5x? x ≥ 0.5 x ≥ 2 (–[infinity], 0.5] (–[infinity], 2]
The solution of the inequality 2(4x - 3) ≥ -3(3x) + 5x is true for all x such that its a real number bigger or equal to 0.5 (Option A: x ≥ 0.5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
The considered inequality is:
[tex]2(4x - 3) \geq -3(3x) + 5x[/tex]
Simplifying its both sides, we get:
[tex]2(4x - 3) \geq -3(3x) + 5x\\8x-6\geq -9x + 5x\\8x-6 \geq -4x[/tex]
Adding 4x on both the sides, we get:
[tex]8x-6+4x \geq -4x + 4x\\(8+4)x - 6 \geq 0\\12x -6 \geq 0\\[/tex]
Adding 6 on both the sides, and dividing by 12, we get:
[tex]12x-6 +6 \geq 0+6\\12x \geq 6\\12x/12 \geq 6/12\\x \geq 0.5[/tex]
(some operations like addition, subtraction, multiplication by positive real number or division by positive real number keeps the inequality relation unaltered. With the use of such operations, here we tried to get x on one side, and constants on other side).
Thus, the considered inequality is true for all the values of x which are real numbers bigger or equal to 0.5 (Option A: x ≥ 0.5)
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An ad in the newspaper advertises car tires for $146.50 for a pair. Mr. Tucker needs 3 tires for his truck. How much will he pay for his new tires?
Answer:
$109.875
Step-by-step explanation:
Assuming "a pair" means 4 tires the math would be as follows:
146.50 for 4 tyres.
146.5/4 = cost of one tyre.
1 tyre: $36.625
Multiply by 3 for price of three tires:
36.625 x 3 = $109.875
What is the area of the shaded region?
Answer:
Area = 84.1
OR Exact A = 392 - 98pi
Step-by-step explanation:
Calculate the area of the rectangle and subtract the area of the two circles. See image.
1 pound = 16 ounces
Solution: ____ ounces
Hillary can read 560 words in 7 minutes. How many words can Hilary read in 20 minutes?
Answer:
[tex] \frac{560}{7} = 80[/tex]
[tex]80 \times 20 = 1600[/tex]
Hillary read 80 word every min
so, 80 × 20 =1600 word every 20 min
pls need hlp in math<3
Answer:
45 g
Step-by-step explanation:
30/200 simplified = 3/20
3/20 as a decimal = 0.15
0.15 g of barley for 1 ml of milk
300 · 0.15 = 45
45 g of barley for 300 ml of milk
hope this helps :)
Represent Real-World Problems If one gallon of paint covers 250 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed? please show ALL of your work.
Answer:
125 dollars
Step-by-step explanation:
this is urgent my sister needs it due in 15 min
Answer: A) 2.4 ÷ 6
Step-by-step explanation:
To answer this problem, we need to find the original whole and what it is being divided by.
[] The whole is 2.4 because we see two wholes shaded in, and 4 columns shaded in. For this model, it represents 2.4
[] It is being divided into 6 parts. This is shown with the white numbers and the thicker lines
We can also check with math, 2.4 divided by 6 is 0.4 so it "checks out."
This model represents the expression A) 2.4 ÷ 6.
Complete the steps to calculate the density of the steel. calculate the volume of the prism. recall that the area of a hexagon is one-half times the apothem times the perimeter. v = cm3 calculate the volume of the cylinder. round to the nearest hundredth. v = cm3 find the volume of the composite figure. v = cm3 calculate the density by dividing the mass by the volume. d = g/cm3
Answer:
1. 0.45
2. 0.06
3. 0.39
4. 7.77
Step-by-step explanation:
causeeeeeeee
jessie bought pecans for a party. She gave each of 12 friends a bag of mixed nuts with more than 6 grams of pecans. Write and graph an inequality that represents the minimum weight of the pecans Jessie bought, where p represents the number of grams of pecans.
What is an Inequality?
The dictionary defines an inequaltiy as a statement that two quantities are unequal, indicated by the symbol ≠; alternatively, by the symbol <, signifying that the quantity preceding the symbol is less than that following, or by the symbol >, signifying that the quantity preceding the symbol is greater than that following.
Inequality for this problem
x > 6
Countries that have a low GDP (per capita) are referred to which of the following?
A. Developed
B. Rich
C. More economically developed country (MEDC)
D. Developing
Find the surface area of the prism.
The prism shown consists of 6 parallelograms and the surface area of the prism shown in the figure is 48 square inches.
How to calculate the surface area of a figureThe surface area is equal to the sum of all the areas of the sides of the figure.
The figure shown consists of 6 parallelograms. The area for calculating the area of a parallelogram is expressed as:
Area = Base * Height
Surface area = 4(2*4) + (4 * 4)
Surface area = 4(8) + 16
Surface ares = 48 square in
Hence the surface area of the prism is 48 square inches.
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At Davidson's Bike Rentals, it costs $17 to rent a bike for 3 hours.
How many dollars does it cost per hour of bike use?
If necessary, round your answer to the nearest cent.
$
per hour
Answer:
$5.67
Step-by-step explanation:
All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)
A Number decreased by 2 times 5 is 60
Answer: The number is 14.
Step-by-step explanation:
14 minus 2 equals 12 and 12 times 5 equals 60.
Hope this helps :)
Have a great day!!
Does the relationship between the number calories and the sodium content in a hot dog appear to be linear?
Please help me answer this
Answer: hopefully this helps it’s a formula sheet for different shapes and it seems like your working with circles so use this!
Step-by-step explanation:
Line J K is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image J' K'. The slope of J K is m. If the length of J K is l, what is the length of J' K'?
A. m*n*l
B. (m+n)*l
C. m*l
D. n*l
Answer: C
Step-by-step explanation:
25 points!
Find the value of X.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.
Now, let's find Angle C using Angle sum property of a triangle.
[tex]\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 135= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 180 - 135[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 45 \degree[/tex]
Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :
[tex]\qquad \tt \dashrightarrow \:2\angle C = 10x[/tex]
[tex]\qquad \tt \dashrightarrow \:10x = 2 \times 45[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 90 \div 10[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 9[/tex]
So, the required value of x is 9
Katie is constructing the circumscribed circle for △RST. She has already used her compass and straightedge to complete the part of the construction shown in the figure.
What could be her next step?
Use the straightedge to draw the line through points A and C.
Use the straightedge to draw the line through points C and D.
Use the straightedge to draw the line through points C and B.
Use the straightedge to draw the line through points B and D.
Answer:
A) use a straightedge to draw a line thought D and F
Step-by-step explanation:
got it right on the test
Answer:
Use the straightedge to draw the line through points C and D.
Step-by-step explanation:
i took quiz
What is sine in geometry for a right triangle
Answer:
The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.
Brenna rolled a number cube 16 times and recorded each roll. the data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5 create a dot plot for the data set. which value has the most dots displayed above it? 1 3 5 6
The value that will have the most dots displayed in the dot plot created for the data set is: C. 5
How to Create a Dot Plot?To create a dot plot, construct a horizontal line to label the values in the data set, then use dots to indicate the frequency in which each of the data points appear.
Given the data set:
2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5
1 will have 3 dots
2 - 2 dots
3 - 2 dots
4 - 2 dots
5 - 4 dots
6 - 3 dots
Thus, the value with the most dots displayed would be: 5.
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Answer:
✔ ∅ C) 5Step-by-step explanation:
Brenna rolled a number cube 16 times and recorded each roll. the data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5 create a dot plot for the data set. which value has the most dots displayed above it?
O A) 1
O B) 3
✔ ∅ C) 5
O D) 6
4 of the 5 is more 2 of the 2, 2 of the 3, 2 of the 4, 3 of the 1, 3 of the 6
So The Answer is C) 5
The following scatter plot shows the correlation between the number of hours twelve teenagers spent in the mall and the number of dollars they spent on food or drinks while at the mall. Use the line of best fit to estimate how much money a teenager will spend on food if he or she is at the mall for three hours.
$9
$11
$7
$5
The equation of the line of best fit is an illustration of a linear function
The teenager would spend $9 on food if he or she is at the mall for three hours.
How to determine the amount spent on food?
The equation of the line of best fit is given as:
y = 2x + 3
When the teenager spends 3 hours in the mall, it means that:
x = 3
So, we have:
y = 2 * 3 + 3
Evaluate the product
y = 6 + 3
Evaluate the sum
y = 9
Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.
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Which describes a transformation using rotation?
A.
move points perpendicularly across a specified line a distance equal to its original distance from the specified line
B.
move points along a circular arc with a specified center through a specified angle
C.
move points a specified distance along a line parallel to a specified line
D.
move points closer or further from a specified point by a specified magnitude
Find the side length of a square with
each area.
a) 100 m2
c) 81 m2
b) 64 cm
d) 400 cm-
image below ill give branliest
Answer:
It is(-1,5)
Step-by-step explanation:
You just divide the (-3,15) by 3 and you get your answer.
Answer:
(-1 , 5)
Step-by-step explanation:
Find the coordinates of the point after dilation:
A (-1,5) and B (-3,4)
help me please ……………..
Answer:
I can t see it
Step-by-step explanation:
Can someone please help me with this question?
Step-by-step explanation:
I think the answer is 15cm