Answer:
20.93cm
Step-by-step explanation:
The shape of the solid is rectangle
Area = length × width
But the width (w) = 2 times the length minus 2
W = 2L - 2
A = L × (2L - 2)
Area of the rectangle = 182cm²
A = 2L² - 2L
182 = 2L² - 2L
2L² - 2L - 182 = 0
L² - L - 91 = 0
Solving the equation using quadratic formula,
A = 1, b = -1, c = -91
L = [-b±√(b² - 4ac)]/2a
L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²
L = [1 ± √(1² + 364)] / 2
L = [1 ± √(365)] / 2
L = (1 ± 19.10) / 2
Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides
L = (1 + 19.10) / 2 = 10.05cm
Width = 2L - 2
W = 20.1 - 2 = 18.10cm
Length = 10.05cm
Width = 18.10cm
Diagonal of the rectangle = ?
To find the diagonal, we'll use pythagorean theorem,
A = diagonal
B = length
C = width
a² = b² + c²
a² = (10.05)² + (18.10)²
a² = 110.25 + 327.61
a² = 437.86
a = √(437.86)
a = 20.93cm
The diagonal of the rectangle is 20.93cm
Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.
Distribution of Applicant's Ages
How many of
age in years
the applicants have ages that fall within the box of the box plot?
Please help!!!!
Answer:
The number of applicants that have ages that fall within the box of the boxplot = 10.
Step-by-step explanation:
box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The boxplot usually consists of a box and a whisker plot.
The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.
The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.
Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.
The total number of applicants = 20
50% of 20 = 10.
Hence, the number of applicants that have ages that fall within the box of the boxplot = 10
Hope this Helps!!!
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
What is the surface area of this design?
Answer:
440 inches squared - the last option
Step-by-step explanation:
Step 1. Surface area of top square.
5 x 5 = 25 inches sq
Step 2. Surface area of the 4 sides of the cuboid.
5 x 8 = 40 inches sq
40 x 4 = 160 inches sq
Step 3. Surface area of the large square.
10 x 10 = 100 inches sq
100 - 25 (because it's being covered) = 75 inches sq
Step 4. Surface area of the 4 sides of the large flat cuboid.
2 x 10 = 20 inches sq
20 x 4 = 80 inches sq
Step 5. (OPTIONAL) Surface area of the bottom
10 x 10 = 100 inches sq
Step 6. Add up all.
25 + 160 + 75 + 80 (+ 100 if including the base) = 340
We can conclude that we have to include the base as well because 340 inches sq is not an option listed.
340 + 100 = 440 inches sq
440 inches sq is the last option
Hope this helps :)
Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
Answer:
$63 is the answer
Step-by-step explanation:
100-37=63
Can someone explain this step by step
Answer:
Step-by-step explanation:
[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]
What is the mean absolute deviation of this data set? 26, 31, 32, and 39
Answer:
3.5
Step-by-step explanation:
26, 31, 32, and 39
First we need to find the mean
(26+ 31+ 32+ 39) /4
128/4 = 32
The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms
((32-26)+ (32-31)+ (32-32)+ (39-32)) /4
14/4
3.5
What is the surface area of this design?
Answer:
This is a trick question- It is actually not hard to get to 440! Here's how:
You probably already know that the tall rectangles take up 4×(5×8)=160 of surface area, and that the short rectangles take up 4×(2×10)=80 of surface area. This looks like an office building so let's call it one.
You probably also saw the big, 10×10=100 inch area underneath the design.
BUT, did you know that the small, 5×5 inch square on top can be COMBINED with the weird, L-shaped flat-roof part in the middle? That's right! the 5×5 inch square can be seen as part of a full 10×10 inch square sitting on top of the short, wide rectangles.
If you look at the L-shaped flat roof, you can see that it's actually 3 more 5×5 squares. You need to connect the 10-inch dimension on the bottom with the 5-inch one on the top.
SO, the answer is gonna be:
160 in² in tall rectangles, +
80 in² in short rectangles, +
100 in² on the bottom, +
100² on the combined top small square and corner roof
Add those all up using some quick maths, and you get 440 in².
Some more details if you're still confused:
The sides of the tall rectangle? It's 5 inches by 8 inches, so each side 8×5=40 in². They go all around the tall box, so there are 4 of them. 40+40+40+40=160, or in other words, 40×4=160.
Do you see the short, wide rectangles on the bottom? they're 10 inches by 2 inches each, so each one is 2×10=20 in². They also go all around the short box, so they add up to 20+20+20+20=80, or in other words, 20×4=80.
Now I want you to think about the bottom of the design, underneath. It is 10 inches by 10 inches, so it is 10×10=100.
Finally, the small square on top of the tall rectangle, and that L-shaped part. Together, they make another 100, or 5×5 on top plus 5×10 + 5×5 again for the parts of the L-shaped roof, or 25+50+25, which equals 100.
Find the measures of the vertical angles shown. Show all work for full credit.
Answer:
40 degrees
Step-by-step explanation:
Look at the attachment
help help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I am pretty sure it is the 3rd one
(In geometry, an isosceles triangle is a triangle that has two sides of equal length. And i think 3 of them are an isosceles triangle)
Answer:
there are 3 isosceles triangles
explanation:
triangles A B and D are isosceles
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.
C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?
{I only need help on part C}
Answer:
The mean value = $80.5
Step-by-step explanation:
The value of her last six spendings are $109, $72, $99, $15, $99, and $89.
For the mean.
Mean = Total spendings/number
Mean =483/6
Mean = $80.5
For the median.
Lets arrange it in ascending order
$15 ,$72, $89, $99, $99, $109
The middle values are two.
Median = (89+99)/2
Median = 188/2
Median = $94
For the mode
$15 ,$72, $89, $99, $99, $109
Highest occuring is $99 with two frequencies.
To convince her parents that she needs an increase in allowance she would show them the bigger spendings .
So the least value on the list it's mean value which is $80.5.
EASY!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer
B. 608
Step-by-step explanation:
38-14=24
24*16=384
14*16=224
384+224=608.
you are welcome!!
The area of the figure is 608 square centimeters.
How to determine the area of the trapezoid?
Given
A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.
Thus,
38-14=24
24*16=384
14*16=224
384+224=608.
Learn more about areas on: https://brainly.com/question/27030227
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The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
Answer:
x = 17 y= -38
Step-by-step explanation:
x + y = -21
y = x - 55
It doesn't matter whether x or y is 55 less than the other right now.
substitute for y:
x + x - 55 = -21
solve for x:
2x = 34
x = 17
solve for y:
17 + y = -21
y = -38
100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
How to change miles per hour to feet per second?
Answer:
1 mph = 1.46666667 fps
what is the upper quartile in the box plot
Answer:
121
Step-by-step explanation:
Answer:
121
Step-by-step explanation:
Because it shows clearly that small box is 121
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
Yes, 2
Step-by-step explanation:
Got it right on Edge 2020
Answer: 1: YES 2: 2
Step-by-step explanation:
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
Learn more about the inequality here:
brainly.com/question/19491153
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The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Round to the nearest
tenth of a cubic inch,
Recall the formula Sphere V-
in
Mark this and retum
Save and Exit
Submit
Answer:
V =267.9 inch^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 * 3.14 * (4)^3
V =267.946666666
Rounding to the nearest tenth
V =267.9 inch^3
Help pleaseeeee
Find the volume of a corner, r measures 11 centimeters, height measurers 27 centimeters
Answer:
3419.46
Step-by-step explanation:
(pir^2h)/3
(3.14(121)(27)/3
3419.46
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits the plane at (negative 2, negative 6) and (2, 6). Which statement is true about the end behavior of the graphed function?
Answer:
b
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answer:
A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.
Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
I have to make sure that there is at least one variable that directly effects another.
Some equations are y = 3x, y = 1.5x, and y = 2/3x.
Step-by-step explanation:
Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10
Answer:
x + 2y = 10 = x + y = 5
Step-by-step explanation:
x + 2y = 10
divide 2 by 10
x + y = 5
This is all I really know how to do sorry
can someone answer this I'll mark brainliest for the correct one i don't know what phrases they are talking about either so um yeah if someone could clarify that too that would definitely be the brainliest but you have to answer the original question too maybe these will help too the actual answers for some reason they change that....idk why but yeah, please answer
Answer:
Is this PSAT or where are u answering this question?
priya finds (1.05) x (2.8) by calculating 105 x 28 then moving the decimal point three spaces to the left
Answer:
Yes, That is correct.
Step-by-step explanation:
Example: Multiply 0.05 by 1.1
start with:
0.05 × 1.1
multiply without decimal points:
5 × 11 = 55
0.05 has 2 decimal places,
and 1.1 has 1 decimal place,
so the answer has 3 decimal places:
0.055
Priya's method easy finds the product of decimals because multiplying whole numbers is easier than multiplying decimal numbers.
Given that, Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left.
We need to explain why Priya's method makes sense.
How to multiply two decimals?To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Now, 105 × 28 = 2,940
Moving the decimal point three spaces to the left, we get 2.940.
Also, (1.05) × (2.8) =2.940
Therefore, Priya's method easy finds the product of decimals, because multiplying whole numbers is easier than multiplying decimal numbers.
To learn more about the multiplication of decimal numbers visit:
https://brainly.com/question/11162176.
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Your question is incomplete, probably the complete question/missing part is:
Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left. Why does Priya's method make sense?
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
-1/2 (-5/6+1/3)=????
Answer:
1/4
Step-by-step explanation:
5/12-1/6
1/6=2/12
5/12-2/12=3/12=1/4
Answer:
1/4 or 0.25
Step-by-step explanation:
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answer: 54.43
Step-by-step explanation:
381 / 7
while abbie is jogging she moves forward 85 cm every second how many seconds will abbie take to jog 8.5 meters
Answer:
85 cm = .85 meters
8.5 / .85 = 10 seconds
Step-by-step explanation:
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
