Answers
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
[tex]p = 4\cdot l[/tex] (1)
Area
[tex]A = l^{2}[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:
[tex]p = 4\cdot (14)[/tex]
[tex]p = 56[/tex]
[tex]A = 14^{2}[/tex]
[tex]A = 196[/tex]
The perimeter and area of the square are 56 units and 196 square units, respectively.
Related Questions
A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls
Answers
The measure of ∠XZY is 55°. Which other
angle has a measure of 55°? Explain
Use the information from Problem 2. Find the
value of n.
Answers
Answer:
1) <SZR
2) n=40
Step-by-step explanation:
Sorry I can't explain but I got these answers from the teacher's notes.
What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.
Answers
Answer:
Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...
Step-by-step explanation:
!!!
0.5–0.05= 0.45
0.45 In fraction form is Simply:
9/20 (And that's on lowest terms!)
If you would want it in percentage form to that would simply be:
45%
Have A Nice Day!!!!
~Pinky~
The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.
The given expression is: 0.5–0.05
Subtract 0.05 from 0.05
0 . 5 0
-0. 0 5
0 . 4 5
So, 0.5–0.05 = 0.45
Multiply and divide by 100 we get,
[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]
Divide both the numerator and denominator by 5 we get,
[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]
Hence,
0.5–0.05 in the lowest fraction is 9/20.
Learn more about the fraction visit:
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Use the model to find the product of 0.5 x 0.6.
A)
0.27
B)
0.30
C)
0.33
D)
0.35
Answers
Answer:
0.3
Step-by-step explanation:
0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3
write the number that is 100 times greater than 1.86
Answers
Solution: 100 x 1.86
If A+B+C=[tex]\pi[/tex] show that tan A + tan B +tan C = tan A.tan B.tan C
Answers
Answer:
[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]
Step-by-step explanation:
we have:
[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]
we also have:
[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]
from (1)(2) => proven
Most people complain that they gain weight during the December holidays. To find out how much, we sample the weights of 23 adults in mid-November and again in early to mid-January. The mean weight change for the sample was a gain of 1.64 lbs., with a standard deviation of the differences of 8.73 lbs. Find a 88% confidence level for the average weight gain.
Answers
Answer:
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
88% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs
The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Answer: CANNOT DO
Step-by-step explanation:
The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.
• LIVE
Henry found his mass on a metric scale. What could Henry's mass be?
O
A. 26 kg
a
B. 2,600 kg
O
C. 8g
0
D. 600 g
Answers
What is the length of X?
Answers
Answer:
x = 85
Step-by-step explanation:
Its a Pythagorean theorem question, being a^2 + b^2 = c^2.
and knowing that 168 is the entire base we would divide by 2 to get 84 as b.
The new equation would be 13^2 + 84^2 = c^2
Then squaring them to get 169 + 7056 = c^2
Then add them together and square root them [tex]\sqrt{x}[/tex] 7225 = c
The square root is 85 making it equal x.
1) The lines A and B are parallel. Identify a pair of corresponding angles?
A) ∠ 1 and ∠ 6
B) ∠ 3 and ∠ 8
C) ∠ 6 and ∠ 5
D) ∠ 5 and ∠7
2) If 25 measures 110°, what is the measure of ∠ 2?
-0)
A) 55°
B) 70°
C) 110°
D) 160°
Answers
2. If angle 5 is 110 degrees angle two would be c. 110 degrees as well
Soren's favorite cereal is on sale. A 20-ounce box costs $4.59. A smaller, 12-ounce box costs $2.52. Complete the statements to describe which box costs less per ounce.
Answers
Answer:
The smaller box, 12 oz, costs less per oz than the larger 20 oz box.
Step-by-step explanation:
$4.59 divided by 20 = $0.2295 per oz
$2.52 divided by 12 = $0.21 per oz
Find the missing side. Round to
the nearest tenth.
Х
28°
15
X =
= [?]
Answers
Answer:
16.99
Step-by-step explanation:
Because I used trigonometry
What is the answer for both of these questions? please fill in the blanks for me. I will mark you as the brainliest.
Answers
2. The hose is 28 meters long.
Hope this helps!!
Find the measure of an angle in a regular polygon with 22 sides
Answers
I WILL GIVE BRAINLIEST IF YOU HELP
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962
Answers
Answer:
D. 962
Step-by-step explanation:
The volume of a rectangular prism is the length x width x height.
22.9*7.5*5.6=961.8
961.8 rounds up to 962
A race is 5 kilometers long. Harold ran 3/4 of the race. How many kilometers did Harold run? PLEASE HURRY
Answers
Answer:
3.75
Step-by-step explanation:
I took a test and that was the answer
Harold ran 3.75 kilometers in 5 kilometers long race.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given, a race is 5 kilometers long.
Harold ran 3/4 of the race.
To find the numbers of kilometers, Harold run
That means,
we multiply 3/4 to the total race's length.
Required length
= 5 x 3/4
= 15/4
= 3.75
Therefore, Harold ran 3.75 kilometers.
To learn more about the multiplication;
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Here is a list of numbers:
20, 13, 1, 13, 6, 1,8,20,9,18
State the median.
Answers
Answer:
6
Step-by-step explanation:
The median is the middle of the data, or the middle number in a given set of numbers.
Which is the solution for the system of equations? Y = 2x-3
Y = -x
A. (1, -1)
B. No solution
C. (-1, 1)
D. (-1, -1)
Answers
Answer:
(1,-1)
Step-by-step explanation:
[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]
Since both are y-isolated equation. We can combine both.
[tex] \large{2x - 3 = - x}[/tex]
Since we want to solve for x-term, we need to isolate x-term.
So we move from -x which is the right side to x.
[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]
But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))
Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x
[tex] \large{y = - x} \\ \large{y = - 1}[/tex]
Since we have got y-value. Therefore the answer is (1,-1)
The hypotenuse of a right triangle is 13 m long. The shorter leg is 7 m shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: m Length of the longer leg: m Length of the hypotenuse: m
Answers
Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m
Step-by-step explanation:
Mr.sol records the daily high temperatures for a week. He creates the box plot below to display his data.
Answers
Complete question is attached below :
Answer:
40, 66, 55, 70, 80, 58, 65 - option B
Step-by-step explanation:
From the boxplot attached ;
We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40
The maximum temperature, is the 80, denoted by end of the end whisker.
The median is the value in the middle of the box which is 65
Lower quartile being 55 and upper quartile being 70
Hence, From the options given, the most appropriate answer will be :
40, 66, 55, 70, 80, 58, 65 - option B
IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80
a website would like to test the hypotheis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched onlinevideos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. The website owners would like to set =.02 what is the conclusion for this hyptohesis test
Answers
Answer:
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
Step-by-step explanation:
A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.
At the null hypothesis, we test if the mean is of 8 minutes, that is:
[tex]H_0: \mu = 8[/tex]
At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:
[tex]H_a: \mu > 8[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8 is tested at the null hypothesis:
This means that [tex]\mu = 8[/tex]
A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.
This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]
[tex]z = 1.70[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.
Looking at the z-table, z = 1.7 has a p-value of 0.9554
1 - 0.9554 = 0.0446
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
solve the quadratic equation by completing the square: 6x²-11x-10=0
Answers
Step-by-step explanation:
6x² - 11x - 10 =0{use splitting middle term method} -60x²| |
-4. +15
(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2there fore x = 28x-11y=-4
-5x+y=26
(need help with showing work , I keep getting stuck on something)
Answers
Step-by-step explanation:
Possible question so that I can help you with the solution
Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months.
How much will he pay in all for the TV?
$2,499
$2,635
$2,736
$2,850
Answers
Explanation:
$300 + 24 x $101.50 = $2736
finance charges =
$2736 - $2499 = $237
find the value of y if 2y +4=8
Answers
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
[tex]2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
y=4/2=2
Step-by-step explanation:
Identify the type of correlation that is present in the scatterplot
Answers
Answer:
The scatter plot shows a positive correlation.
Write the following inequality in slope-intercept form. 6x+2y≤46
Answers
Answer:
y ≤ -3x + 23
Step-by-step explanation:
1. 6x + 2y ≤ 46
•subtract “6x” from both sides to isolate the “y” variable
2. 2y ≤ 46 -6x
•divide both sides by “2”
3. y ≤ 23 -3x
•reorder the terms so it fits the “y = mx + b” slope-intercept format
4. y ≤ -3x + 23
(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)
Answers
Answer:
Prime
Step-by-step explanation:
2(x?)+16y
O(x+4y)(x+4y)
x²+4xy+4xy+16y²
x²+8xy+16y²
O(x+4y)(x-4y)
x²-4xy+4xy-16y²
x²-16y
Prime
O(x-4y)(x-4y)
x²-4xy-4xy+16y²
x²-8xy+16y²
All are incorrect except prime, so the answer is prime.
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hope it helps
Arnez bought five shirts from a store and had $10 left. If he had only bought three shirts, he would have had $24 left. If each shirt costs the same, determine x, the cost of each shirt.
Answers
Answer:
x=8
Step-by-step explanation:
This question has had me confused for about an hour, please help