Answer:
1. a) the square root of 20
2. d) the square root of 52
Explanation:
we can use the formula of pythagoras' theorem, which is a² + b² = c² (with c being the hypotenuse of a right-angled triangle while a and b are its other two sides), to solve these questions.
for the first question, we can place the given values into the equation to get 4² + b² = 6², with b being the unknown here. b is thus equivalent to 6² - 4², or √20.
for the second question, we can get 4² + 6² = c², which is the unknown value in this question. it would be √52.
i hope this helps! :D
In the following triangle what is the length of the hypotenuse?
Answer:
Hypotenuse: 6
Step-by-step explanation:
Sin45°=(BC/AC)
Sin45°=(3√2/AC
1/√2=3√2/AC
AC=3×2=6
so hypotenuse = 6
hope it helps
have a great day!!
Answer:
6
Step-by-step explanation:
here's your solution
=> sin 45° = perpendicular/hypotenuse
=> sin 45° = 1/√2
=> perpendicular = 3√2
=> 1/√2 = 3√2/hypotenuse
=> Hypotenuse = 3*√2*√2
=> Hypotenuse = 3*2
=>. Hypotenuse = 6
hope it helps
the area of a circle is 60 π sq.cm. find the radius of the radius of the circle to the nearest tenth step-by-step
Answer:
r = 7.7
Step-by-step explanation:
A = πr²
60π = πr²
r² = 60π/π
r² = 60
[tex]\sqrt{r^2} =\sqrt{60}[/tex]
r = 7.746
Rounded to tenths:
7.7
Which describes the underlined part of the statement?
7x + 4 = 18
O variable
O coefficient
O equation
O term
Brown
Answer:
variable
this corect answer for this question
How is a ratio table used to graph equivalent ratios?
Answer:
Ratio tables show equivalent ratios between two quantities. They can help you find equivalent ratios in order to solve problems.
hope this helps:) emoji slammm
Graph y=-(4)
X PLS HELP
Answer:
this is a horizontal line which crosses the y-axis at -4
Step-by-step explanation:
Select ALL the correct answers.
Which shapes have the same volume as the given rectangular prism?
8 cm
15cm
base area = 50 cm
Answers
A.) 15cm 5cm height base area 50 cm
B.) 8cm 5cm height base area 50 cm
C.) 24 cm height base area 50 cm
D.) 18 cm 15 cm height base area 50 cm
Answer: I think it’s A the cylinder
Step-by-step explanation:
For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....
write a Pythagorean triplet where one member is 6
Answer:
6,8,10 is the pythagoran triplet
Answer:
6 8 10
Step-by-step explanation:
Well, the most known known Pythagorean triplet ever is 3 4 5.
Fortunately, if we scale it by 2:1, we'll get a Pythagorean triplet containing 6.
Please help, only if you know though thank you
6²_4+2
Please helpppppppppppppppppppppppppppp
Answer:
6². is 64
4 + 2 is 6
64 - 6
is 58
Answer:
6² - 4 + 2 = 34Steps:
6² - 4 + 2 = 36 - 4 + 2 (exponents first 6²=36)
(subtraction and addition have the same degree! so we do whichever one comes first! "order")
6² - 4 + 2 = 32 + 2
6² - 4 + 2 = 34
Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $10$ steps, how many different points could Franklin end up at?
Answer:
80 different points.
Step-by-step explanation:
right, left, up, or down = 4 possibilities x 2 since there is a coordinate with 2 numbers so,
8 possibilities.
8 x 10 = 80 possibilities.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. After $10 steps, the number of different points that could Franklin ends up at 1048576.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Franklin can move in 4 direction after each step, therefore, the number of choices that Franklin have is,
Number of points = 4×4×4×4×4×4×4×4×4×4 = 4¹⁰ = 1048576
Hence, After $10 steps, the number of different points that could Franklin ends up at 1048576.
Learn more about Multiplication:
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Divide. Round your answer to the nearest whole number.
What is the Place value of 3.35
Answer:
3.35 = (3 * 100) + (3 * 1/101) + (5 * 1/102)
3.35 = (3 * 1) + (3 * 1/10) + (5 * 1/100)
3.35 = 3 + 3/10 + 5/100
3.35 = 3 + 0.3 + 0.05
55 times 4 and time 3 equals what?
Answer:
55 times 4 =220
220 times 3 =660
2(x+3) = 5x+10 - x
Explain your reasoning
Answer:
x= -2
Step-by-step explanation:
2(x+3)=5x+10-x (we need to distribute first)
2x+6=4x+10 (then add like terms)
-2x=4 (now divide)
x= -2
what is the volume of the sphere?
Answer:
The formula for the volume of a sphere is V = 4/3 πr³.
Step-by-step explanation:
Surface area of sphere = 4πr2
Volume of a sphere = 4/3 πr3
You only need to know the radius to figure both the volume and surface area of a sphere.
Answers for surface area problems should always be in square units.
Answers for volume problems should always be in cubic units.
What is the place value of the digit 5 in the number 1,029.756
Answer:2
Step-by-step explanation:
Answer: Its the tens place, do you not pay attention in school?
ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP
Step-by-step explanation:
11.True
12.False
13.False
14.False
15.True
16.False
17.False
18.True
19.True
20.False
Answer:
here
Step-by-step explanation:
please help me with explanation
Answer:
Step-by-step explanation:
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees in 2004 reveals the following family dental expenses (in dollars): 115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and 228. The sample mean is
Answer:
The answer is "266.5".
Step-by-step explanation:
Given value:
[tex]115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and\ 228.[/tex]
find:
Sample mean=?
[tex]=\frac{\text{total dental expenses}}{number \ of \ employees}[/tex]
[tex]=\frac{115+370+250+93+540+ 225+ 177+ 425+ 318+ 182+ 275+228}{12}\\\\=\frac{3,198}{12}\\\\=266.5\\\\[/tex]
Miranda's chocolate bar is in the shape of a triangular prism. She cuts her chocolate bar parallel to its bottom. The dotted line in the picture represents Miranda’s cut.
What is the shape of the cross section of Miranda’s cut?
trapezoid
triangle
rectangle
rhombus
Please Help i need this done
Answer:
i think u add 2.5 everytime
Step-by-step explanation:
for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry
-4x+3x<4 what is the awenswer to this equation
Answer:
X > -4
Step-by-step explanation:
Collect the like terms which literally leaves you with -x<4
Then just changes the signs, hence the answer.
Please mark brainliest!
Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.
Answer:
H.
Step-by-step explanation:
I believe this is the answer because when you look at the problem and see the rate of change pattern months go +2 , +3, +2, and +3. Then when you look at the cards rate of change 80-44=36, so +36 then 104-80=24, so +24. as you can see when you subtract the rates if change between the cards (36-24), you get 12. Therefore y=12x. next you go along with the pattern and find the y-intercept by doing 44-24=20. Sorry it is kinda hard to explain, but hope this helps!
Allen was given 20 cards , and he buys 12 cards each month
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Let the number of cards be y
Let the number of months be x
Let the first point be P ( 5 , 80 )
Let the second point be Q ( 7 , 104 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 104 - 80 ) / ( 7 - 5 )
m = 24 / 2
m = 12 cards per month
So , the equation of line is y - y₁ = m ( x - x₁ )
y - 80 = 12 ( x - 5 )
Adding 80 on both sides , we get
y = 12x + 20
So , when x = 0
y = 20 cards in the initial month
Hence , the equation of line is y = 12x + 20 and Allen has 20 cards in his initial month
To learn more about equation of line click :
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Dogs vary in size a great deal more than cats do. Suppose the mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds, and the mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Cat weights are roughly Normally distributed, but dog weights are skewed right. Suppose you take a random sample of 10 dogs and 8 cats. Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?
a. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape approximately Normal
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
c. Mean = 18.5 pounds, standard deviation - 14.1 pounds, shape approximately Normal
d. Mean = 18.5 pounds, standard deviation = 14.1 pounds, shape non-Normal
e. The difference of means is 18.5 pounds and the shape is non-Normal, but the standard deviation cannot be determined since the sample size is small and the distribution of dog weights is non-Normal.
Answer:
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of samples:
When two samples are subtracted, we have that the mean is the difference between the means and the standard deviation is the square root of the sum of the variances.
The mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds. Sample of 10
This means that [tex]\mu_{D} = 28, s_D = \frac{14}{\sqrt{10}} = 4.4272[/tex]
Mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Sample of 8.
This means that [tex]\mu_{C} = 9.5, s_{C} = \frac{2}{\sqrt{8}} = 0.7071[/tex]
Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?
The mean is:
[tex]\mu = \mu_{D} - \mu_{C} = 28 - 9.5 = 18.5[/tex]
The standard deviation(spread) is:
[tex]s = \sqrt{s_{D}^2+s_{C}^2} = \sqrt{4.4272^2+0.7071^2} = 4.48[/tex]
Normal distribution subtracted by non-normal(sample of cats is less than 30, so wont be normal), will be non-normal.
The correct answer is given by option b.
Yesterday, there were 30 problems assigned for math homework. Nancy did 10% of them correctly. How many problems did Nancy get wrong?
1.) 5
2.) 10
3.) 20
4.)27
Answer:
i dont know if this is right but im pretty sure its 5
Step-by-step explanation:
Answer:
4.) 27
Step-by-step explanation:
Just take 30 and - 10% = 27
Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing
(-4,9) on the coordinates plane
Answer is below n attachment
In a scale drawing of a painting, 1 centimeter represents 7 inches
Scale
1 cm : 7 in
Answer the following.
(a) The height of the real painting is 28 inches. What is the
height of the painting in the scale drawing?
(b) In the scale drawing, the length of the painting is 9
centimeters. What is the length of the real painting?
A) divide actual inches by scale:
28/7 =4 cm
B) multiply actual cm by scale:
9 x 7 = 63 inches
If there are 7 days in a week, how many days are there in 6 weeks?
Answer:
42
Step-by-step explanation:
Answer: 42
Step-by-step explanation: 7 x 6 = 42
A man took out a $44,000 construction loan to remodel a house. The loan rate is 8.5% simple interest per year to be repaid in three months. How much is paid back?
9514 1404 393
Answer:
$44,935
Step-by-step explanation:
The amount due will be ...
A = P(1 +rt) . . . . principal P at annual rate r for t years
__
3 months is 3/12 = 1/4 years, so the amount is ...
A = $44,000(1 +0.085×1/4) = $44,935 . . . amount paid back
Lucy buys a greeting card for $4.50 She then buys 5 postcards that all cost the same amount. The total cost is $7.00 How much is each postcard?