Answer:
greatest value of X = 12
Area of square = 144 cm²
Step-by-step explanation:
The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The highest common factor between both factors of 48 and 60 is 12.
Thus,
greatest value of X = 12
Area of square = 12 × 12
Area of square = 144 cm²
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
Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.
Answer:
25.12
Step-by-step explanation:
The formula of the circumference of a circle is: C = 2(pi)(r)
Plug in 3.14 for pi and 4 for the radius.
C = 2(3.14)(4)
Multiply.
C = 25.12
Find the measure of an angle in a regular polygon with 22 sides
A race is 5 kilometers long. Harold ran 3/4 of the race. How many kilometers did Harold run? PLEASE HURRY
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;
https://brainly.com/question/19634536
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If A+B+C=[tex]\pi[/tex] show that tan A + tan B +tan C = tan A.tan B.tan C
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
solve the quadratic equation by completing the square: 6x²-11x-10=0
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 = 2The 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.
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.
find the value of y if 2y +4=8
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:
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
Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m
Step-by-step explanation:
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)
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)
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.
Answer:
x=8
Step-by-step explanation:
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.
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
This question has had me confused for about an hour, please help
What is the length of X?
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.
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
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
Here is a list of numbers:
20, 13, 1, 13, 6, 1,8,20,9,18
State the median.
Answer:
6
Step-by-step explanation:
The median is the middle of the data, or the middle number in a given set of numbers.
help what's the answer
Answer:
2nt one
Step-by-step explanation:
What is the answer for both of these questions? please fill in the blanks for me. I will mark you as the brainliest.
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
Answer:
0.3
Step-by-step explanation:
0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3
Identify the type of correlation that is present in the scatterplot
Answer:
The scatter plot shows a positive correlation.
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
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.
Find the missing side. Round to
the nearest tenth.
Х
28°
15
X =
= [?]
Answer:
16.99
Step-by-step explanation:
Because I used trigonometry
Write a paragraph (4-5 sentences) explaining how we can help or change racism to black people
No copying from internet please
Answer
A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.
8x-11y=-4
-5x+y=26
(need help with showing work , I keep getting stuck on something)
Step-by-step explanation:
Possible question so that I can help you with the solution
write the image of a point ( 3 - 2) under reflection about x - axis
Step-by-step explanation:
I m not sure either u have written (-2).. ans is (3,-2)
Answer:
(3, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(3, - 2 ) → (3, 2 )
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
• 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
Mr.sol records the daily high temperatures for a week. He creates the box plot below to display his data.
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
write the number that is 100 times greater than 1.86
(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)
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