The length of the diagonal of the rectangular cardboard Hermina cut
is 10√5''.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, Hermina cut a 10" by 20" piece of cardboard down the diagonal.
So, The diagonal can be thought of as the hypotenuse of a right-angle triangle with a base 20'' and a height of 10''.
Therefore,
Hypotenuse² = Base² + Height².
Hypotenuse² = 20² + 10².
Hypotenuse² = 400 + 100.
Hypotenuse² = 500.
Hypotenuse = √(500).
Hypotenuse = 10√5''.
So, The length of the diagonal is 10√5''.
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The length of the cut (c) is 5 times the square root of 20 inches, which is approximately 22.36 inches when rounded to two decimal places.
When Hermina cuts a 10" by 20" piece of cardboard down the diagonal, she essentially creates two right triangles. The diagonal of a rectangle splits it into two congruent right triangles. This diagonal acts as the hypotenuse of each right triangle.
In a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse (c) if we know the lengths of the other two sides (a and b).
The Pythagorean theorem states: c^2 = a^2 + b^2, where c is the length of the hypotenuse.
In this case, one side (a) is 10 inches long, and the other side (b) is 20 inches long. Plugging these values into the formula:
c^2 = 10^2 + 20^2
c^2 = 100 + 400
c^2 = 500
Now, to find c, we take the square root of both sides to isolate c:
c = √500
To simplify the square root:
c = √(25 * 20)
c = 5√20
In summary, Hermina's diagonal cut creates two right triangles, and the length of the cut (c) can be found using the Pythagorean theorem. The calculated length is approximately 22.36 inches.
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Holly has 4 swimsuits, 2 hats, and 3 pairs of flippers. Find the number of outfit combinations she has
Answer:
4*2*3= 8*3= 24
Step-by-step explanation:
For every swimsuit there are 2 hats, that makes 8 combinations. For any of the 8 combinations there are 3 pairs of flippers, equaling 24.
Given a right cylinder where h is the height and ris the radius, what does the
expression 2 rh represent?
O
A. Area
B. Lateral area
O C. Volume
D. Base area
Which best describes the line of reflection
Answer:
Option 3
Step-by-step explanation:
The line between the two shapes is 6 units away from the first B point.
Which one is steeper
Answer:
Line B is the steeper line.
Explanation: Line B is more straight down than line A
Find the mean absolute deviation of each set of data. Round your answer to two decimal places. Did I do this correctly
Find the mean absolute deviation of each set of data. Round your answer to two decimal places.
3,1,5,4,8,6
1+3+4+5+6+8+=27 mad= |1-4.5|+|3+4.5|+|4-4.5|+|5-4.5|+|6-4.5|+|8-4.5|=11 6 6 6
Answer:
3,1,5,4,8,6 is 1.83 for mean absolute deviation
Step-by-step explanation:
The student correctly calculated the mean and the absolute deviations from the mean, but did not divide the sum of these by the number of data points to find the mean absolute deviation. The correct mean absolute deviation is 11 divided by 6, equal to 1.83 (rounded to two decimal places).
Explanation:Based on your computations, it looks like you did correctly compute the mean absolute deviation (MAD). The first step is to find the mean (average) of the data set, which you correctly found to be 4.5 by summing the data points (3, 1, 5, 4, 8, 6) and dividing by the number of data points (6). Then, you correctly computed the absolute deviations from the mean for each data point (|1-4.5|, |3-4.5|, |4-4.5|, |5-4.5|, |6-4.5|, |8-4.5|), and summed these to get a total absolute deviation of 11. Finally, you divided this total by the number of data points (6) to find the mean absolute deviation. However, you missed this final division step in your calculations. The MAD should be 11/6 = 1.83 (rounded to two decimal places).
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-(28-4x)=92 This is a two-step equation with distributive property
Write the Equation of the line that has a slope of -2 and passes through the points (9,5)
Start with the point-slope formula shown at the top in red.
Now, substitute your slope and coordinates in the formula.
Then distribute and combine lie terms.
Finally, add 2x to both sides to get your equation in standard form.
621/87 can anybody help me
Answer:
621/87=7.13793103448
Step-by-step explanation:
I divided it and got this answer
Answer: 621 divided by 87 is 7 with the remainder of 12.
Step-by-step explanation:
Use the bar graph to find the experimental probabily of the events.
A. The experimental probabily of spinning a number greater than 3 is ___
B. The experimental probability of spinning an odd number is ___
Answer:
A. 2/5
B. 3/5
Step-by-step explanation:
Which describes the cross section of the cube that passes through the vertices A, B, and C shown below?
a rectangle that is not a square
a square
a triangle with three equal sides
a triangle with only two equal sides
Answer:
a triangle with three equal sides
Step-by-step explanation:
Base on the figure, the vertice length of A , B and C are equal. Therefore, a triangle with three equal sides is the correct answer.
Please find the attached file for the figure
Answer:
Its c, if you dont have time to match the answers.
Step-by-step explanation:
Subtract 5x^2-2x-55x 2 −2x−5 from -2x^2-5x-7−2x 2 −5x−7.
Answer:
7x^2 -128x -19
Step-by-step explanation:
Answer:
-7x^2 -3x -2
Step-by-step explanation:
Which equations can be used to determine the area of the irregular figure? Check all that apply. A trapezoid has a base of 9 inches, height of 5 inches, and top side length of 3 inches. A = 3 (5) + one-half (5) (6) A = one-half (5) (9) + one-half (3) (5) A = one-half (3) (5) (9) A = 3 (5) (9) A = one-half (5) (9) + 3 (5) A = 3 (5) + 6 (5)PLZ HELP FOR BRAINIEST FOR CORRECT ANSWER AND 20 POINTS
Answer:
1, 2, 3, 5
Step-by-step explanation:
Answer:
1 and 2
or
A and B
Step-by-step explanation:
Photo is above. Show work thank you. Questions at bottom.
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make a box.
1) what is the surface area of the box?
2) What is the volume of the box?
3) Explain how you determined the surface area and volume.
Answer:
surface are: 300 cm2
volume: 450cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Surface area of a box = 2wl + 2hw + 2 lh
Where w is the width of the box, l is the length of the box, and h is the height of the box.
The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.
S = wl + 2hw + 2 lh
Replacing with the values given:
S = (15x10)+ 2(3x10)+ 2(15x3)
S = 150+60+90=300 cm2
For the volume we simply apply:
Volume of a rectangular prism: length x width x height
V = 15x10x3 = 450cm3
Feel free to ask for more if needed or if you did not understand something.
Two spheres have volumes of 8
area of the larger sphere?
cm
and 64 cm. If the surface area of the smaller sphere is 1671 cm? what is the surface area of the larger sphere?
64cm?
96 cm
128 cm
256cm
The surface area of the larger sphere is 366.2496 square centimeter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, two spheres have volumes of 87 cm³ and 647 cm³.
We know that, the volume of a sphere = 4/3 πr³
Here, 647 cm³=4/3 πr³
647 = 88/21 r³
r³ = (647×21)/88
r³ = 154.39
r = 5.4 cm
We know that, surface area of a sphere is 4πr².
The surface area of the larger sphere = 4×3.14×5.4²
= 366.2496
Therefore, the surface area of the larger sphere is 366.2496 square centimeter.
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"Your question is incomplete, probably the complete question/missing part is:"
Two spheres have volumes of 87 cm³ and 647 cm³. If the surface area of the smaller sphere is 167 cm², what is the surface area of the larger sphere?
64 cm²
96 cm²
128 cm²
256 cm²
Which of the following probabilities is the greatest for a standard normal distribution?P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5) P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5) P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5) P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)
Answer:
negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5
Step-by-step explanation:
its the peak of the graph
Answer:
B
Step-by-step explanation:
on edge
The volume of a cube is 343 centimeters cubed. Whats the area of its base?
Answer:
49
Step-by-step explanation:
If the volume of a cube is 343 cubic centimeters, then the length of one of the edges must be 7, because 7^3=343. If the side length is 7, then the area of the square base is 7^2=49 square centimeters. Hope this helps!
Help Me Find The X Please
Answer:
x = 16
y = 16 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 60 = y/ 32
Multiply each side by 32
32 sin 60 = y
32 ( sqrt(3) /2) = y
16 sqrt(2)
cos theta = adj/ hyp
cos 60 = x /32
32 cos 60 = x
32 (1/2) =x
16 =x
Answer:
16
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
To solve this you need to use SOH-CAH-TOA
Do cos60° to find x
[tex]cos60 = \frac{x}{32}[/tex]
Multiply both sides by 32 to get x alone
[tex]32(cos60) = x[/tex]
Now put 32(cos60) into your calculator
The answer you get is 16
NEED HELP
What is the value of t in this equation? (j^-12)^-5=jt
To find the value of t, apply the exponent rules and simplify to get t = [tex]j^{59[/tex], assuming j is not zero.
The value of t in the equation [tex](j^{-12})^{-5} = j \times t[/tex] can be found by understanding the properties of exponents. Since the equation involves a base raised to an exponent that is also raised to another exponent, one would apply the rule that states [tex](a^n)^m = a^{(n \times m).[/tex] Thus, simplifying gives us [tex]j^{(12 \times 5)} = j \times t \space or j^{60} = j \times t[/tex] Now, assuming that j is not 0, we divide both sides by j to isolate t, resulting in [tex]t = j^{59[/tex], and j will not be equal to zero, hence J [tex]\neq[/tex] 0.
Geometry Angles question 3, Thanks if you help
Answer:
54
Step-by-step explanation:
64 + 62 = 126
180 - 126 = 54
Answer:
D
Step-by-step explanation:
because x and 53 are Alternate angles , they are in form of z which male them equal
What is the value of f^{-1)(6)
Start at 6 on the y axis. Draw an arrow so that it horizontally moves to the blue curve. Then draw an arrow straight down to vertically drop to x = 4
See the diagram below.
Follow this process in reverse to see that x = 4 leads straight up to the blue curve, and then to the left to land on y = 6. Keep in mind that the inverse reverses the input and output process, which is why I started with y instead of x.
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression, f⁻¹(6) is 4.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression can be found as shown below,
y = f(x)
When the value of y is 4, the value of x is 6, therefore, we can write f(6)=4.
Now, the given expression can be simplified as,
f⁻¹(6) = 1 / f(6)
= 1 / 4
= 0.25
Hence, the value of the expression, f⁻¹(6) is 4.
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Who was correct? Which size is the best deal? How should joy and John spend the 10.00
Final answer:
To determine the best deal, compare unit prices by dividing the price by the size of the items. Spend the $10.00 according to needs and preferences.
Explanation:
In order to determine which size is the best deal, Joy and John need to compare the prices per unit of the items they want to buy. They should divide the price of each item by its corresponding size to calculate the unit price. The item with the lowest unit price would be the best deal.
For example, if Joy wants to buy a 16oz bottle of soda for $1.50 and John wants to buy a 20oz bottle for $2.00, the unit price for Joy's soda would be $1.50/16oz = $0.09/oz, while the unit price for John's soda would be $2.00/20oz = $0.10/oz. Therefore, the 16oz bottle would be the best deal as it has a lower unit price.
As for how they should spend the $10.00, it would depend on their needs and preferences. They could evenly split the money and buy items separately, or they could pool their money together and buy a larger item.
Can anybody show me the steps to answering this question? 7x - 2z = 4 - xy
(solve for x)
Answer: 2z+4/y+7
Step-by-step explanation:
We are trying to solve for x
7x-2z=4-xy
Add xy to both sides:
7x-2z+xy=-xy+4+xy= xy+7x-2z=4
Then you add 2z to both sides:
xy+7x-2z+2z=4+2z
xy+7x=2z+4
Then you factor out variable x
x(y+7)=2z+4
You divide both sides by y+7
x(y+7)/y+7= 2z+4/y+7
Which we would get x=2z+4/y+7
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The value of the x can be written as (4 + 2z)/(7 + y).
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
7x - 2z = 4 - xy
Bring like terms together,
7x + xy = 4 + 2z
Take x as common from the left side of the equation,
x(7 + y) = 4 + 2z
x = (4 + 2z)/(7 + y)
Hence, the value of the x can be written as (4 + 2z)/(7 + y).
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A panel of judges was rating the taste of different brands of potato chips. Ayane noticed a linear
relationship between the prices and the ratings for 20 different brands. Here is computer output from a
least squares regression analysis for predicting rating from price:
Predictor
Coef
-0.39
Constant
SE Coef
0.57
0.283
-0.687 0.499
8.9 0.000
Price
2.52
S = 0.7387
R-sq = 77.3%
Use this model to predict the rating of a brand that costs $3.00 per bag.
You may round your answer to the nearest whole number rating.
Predicted rating:
Show Calculator
Answer:
The rating of a brand that costs $3.00 per bag is 7.
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
[tex]y=-0.39+2.52x[/tex]
Predict the rating of a brand that costs $3.00 per bag as follows:
[tex]y=-0.39+2.52x[/tex]
[tex]=-0.39+(2.52\times \$3.00)\\=-0.39+7.56\\=7.17\\\approx 7[/tex]
Thus, the rating of a brand that costs $3.00 per bag is 7.
I need help on this can someone help me
Answer:
Answer is 63
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]area \: of \: sector \: = \frac{theta}{360} \times \pi \: {r}^{2} \\ here \: theta \: = 72 \: degrees \: and \\ radius \: = 10 \\ on \: substituting \: the \: values \: in \: the \: formula \\ area \: of \: sector \ = \frac{72}{360} \times \pi \: {10}^{2} \\ \: \: = \frac{1}{5} \times 100\pi \\ = 0.2 \times 100 \times \pi \\ = 62.83 \\ are \: of \: sector \: is \: approximately \: \\ equal \: to \: 63[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
what is the unit rate of area in square feet of enlarged image per square foot of area of the original
Answer:
2
Step-by-step explanation:
1/2(2/3)
3/6(4/6)
3(4)
12/6=2
Social security numbers have the form XXX-XX-XXXX,
where each X is a digit. How many unique social security
numbers are possible?
A) 100 million
B) almost 400 million
C) 1 billion
D) over 3 billion
Pamela chose B as the correct answer. How did she get that answer?
Please answer both parts.
there is only a certain amount of numbers
i hope this helped you
Answer:
C
Step-by-step explanation
So you take the amount of digits total (which is 9) and the highest number you can make is 999,999,999 so basically everything between 000,000,0001 and 999,999,999 is a possible unique social security number. So its closest to 1 billion.
Pamela got B since the only logical explanation i can think of is that she rounded incorrectly
Question 2
2. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?
a. n ≤ 6
b. n ≥ 6
c. n < 5
d. n > 5
A. n ≤ 6
May I have brainliest please? :)
Find the mean, median, mode, and range of the data set after you perform the given operation on each
data value.
9,7, 12, 13, 9, 3; add 5
(1 pa
mean: 8.8, median: 9, mode: 9, range: 10
mean; 8.8, median: 9, mode: 9, range: 5
mean: 13.8, median: 14, mode: 14, range: 5
mean: 13.8, median: 14, mode: 14, range: 10
Answer:
mean= 8.8
median= 9
mode= 9
range= 10
ANSWER: A
Step-by-step explanation:
Rewrite 1/6 with a denominator of 18
Final answer:
To rewrite 1/6 with a denominator of 18, multiply both the numerator and the denominator by 3, resulting in the equivalent fraction 3/18. To confirm its equivalence, simplify 3/18 back to 1/6 by dividing both the numerator and the denominator by 3.
Explanation:
How to Rewrite a Fraction with a New Denominator
To rewrite the fraction 1/6 with a denominator of 18, we need to find a number that we can multiply both the numerator and the denominator of the fraction by so that the denominator becomes 18. Since 6 times 3 equals 18, we will use 3. The fraction then becomes:
(1 x 3) / (6 x 3) equals 3/18.
Verifying the Equivalent Fraction
To verify that 3/18 is indeed equivalent to 1/6, we can simplify 3/18 by dividing both the numerator and denominator by their greatest common factor, which is 3:
3 ÷ 3 / 18 ÷ 3 = 1/6.
This confirms that 3/18 is equal to 1/6 because it simplifies back to the original fraction.
I will give you a Brainly crown if it is right. Will you help me
Answer:
35
Step-by-step explanation:
Answer:
b = 35
Step-by-step explanation:
a and b make a right angle
a+b = 90
55 + b = 90
subtract 55 from each side
55-55 +b = 90-55
b = 35