Answers
Answer:
C. x = 6Step-by-step explanation
since we have a right triangle then we can apply the Pythagorean theorem:
x² + 8² =10²
⇒ x² = 10² - 8²
⇒ x² = 36
⇒ x² = 6²
⇒ x = 6 (because x is positive)
Related Questions
what is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8
Answers
Answer:
The legs are both of length 4√2
Step-by-step explanation:
Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or
2x^2 = 64, or x^2 = 32 = 2(16)
Solving for x, x = 4√2. The legs are both of length 4√2.
2. In two tosses of a fair die, what is the probability that:
i. The sum of the two numbers that show up is 7?
ii. The sum of the two numbers that show up is even?
iii. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?
Answers
Answer:
Step-by-step explanation:
The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.
i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)
The probability that the sum of the two numbers that show up is 7 is
6/36 = 1/6
ii) the number of outcomes whose sum is even are 18
The probability that the sum of the two numbers that show up is even is
18/36 = 1/2
ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)
The probability that the sum of the two numbers that show up is greater than 9 is
6/36 = 1/6
3) this is a poisson distribution. We want to determine the mean.
Mean = np
p = 5/200 = 0.025
n = 600
Therefore,
Mean = 0.025 × 600 = 15 eggs
15 eggs are expected to be broken from a crate containing 600 eggs
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Answers
Answer: The area of one wall is 216.72 ft^2.
Step-by-step explanation:
16.8 * 12.9 = 216.72
The area of the patio is 216 square feet. Write an equation that represents the area of the patio
Answers
Answer:
[tex]216=2w \times w[/tex]
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
[tex]A= l\times w[/tex]
Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Now let's assume that the length of the patio is double than the width.
[tex]l=2w[/tex]
So, the equation that represents this problem is
[tex]216=2w \times w[/tex]
Answer:
x(x+6)=216
Step-by-step explanation:
It would actually be x instead of w because in the equation, they are using x's.
The equation would then be solved by making the equation x^2+6x=216.
By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.
Hope this helps!
what is the slop of the line represented by y= 5x - 7
Answers
Answer:
The slope is
m =5
The y-intercept is
b =-7 or (0,7)
Step-by-step explanation:
Three coins are flipped.
a)
How many possible outcomes are there?
b)
What is the possibility of getting no heads?
c)
What is the probability of getting at least 2 tails?
I'm kinda stuck. plz help
Answers
Answer:
ooooh Mthswath again. a=8 b=1/8 c=4/8 or 1/2
Step-by-step explanation:
a= there are 8 outcomes you can multiply the outcomes. 2×2×2=8
b= (i don't want to insert a picture again, as I already did for the last one you asked) So it is 1/8
c= Again, list out all the possibilities and you will find there are 4 with at least 2 tails or simplify it, 1/2
Can you put the digits 1 to 11 in the circles so that every line has the same total?
Answers
Put the 1 in the middle, and then put on two opposite circles two numbers that sum to 11:
1, 10
2, 9
3, 8
4, 7
5, 6
Yes, you put the digits 1 to 11 in the circles so that every line has the same total.
What are the digits?A number is a count or measurement that is really an idea in our minds.
The digits 1 to 11 in the circles so that every line has the same total.
The given digits are as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.
The sum of the first number and last number is;
1 + 11 = 12
Similarly, the sum of the second number and second last element is;
2 + 10 = 12
The sum of the third number and third last element is;
3 + 9 = 12
The sum of the fourth number and fourth last element is;
4 + 8 = 12
The sum of the fifth number and fifth last element is;
5 + 7 = 12
The sum of the sixth number and sixth last element is;
6 + 6 = 12
The sum of the seventh number and seventh last element is;
7 + 5 = 12
The sum of the eighth number and eighth last element is;
8 + 4 =12
The sum of the ninth number and ninth last element is;
9 + 3 = 12
The sum of the tenth number and tenth last element is;
10 + 2 = 12
The sum of the eleventh number and eleventh last element is;
11 + 1 = 12
Hence, yes you put the digits 1 to 11 in the circles so that every line has the same total.
Learn more about digits here;
https://brainly.com/question/15141960
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solve: 9^8-x= 27^x-3
Answers
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Corey brought $54.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Corey had $2.00 left over after buying these items. What was the cost of each item?
Answers
Answer: The items cost as follows;
(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28
Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.
The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;
x + y + z = 52.50
However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.
Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.
Note however that, if y = 3z/4, then by cross multiplication,
4y = 3z
4y/3 = z
Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation
x + y + z = 52.50
y/6 + y + 4y/3 = 52.5
using a common denominator which is 6, you now have;
(y + 6y + 8y)/6 = 52.5
By cross multiplication, you now have
15y = 52.5*6
15y = 315
Divide both sides of the equation by 15
y = 21
Therefore, if the sketchbook is y, then the sketchbook costs $21.
Also if the brush is x, then the brush costs
x = y/6
x = 21/6
x = 3.50 (The brush costs $3.50)
Also if the sketchbook costs 3/4 of the paint set, then
y = 3z/4
21 = 3z/4
21*4 = 3z
84 = 3z
Divide both sides of the equation by 3
28 = z (The paint set costs $28)
The values of negative and positive exponents come get the points !!!!!!!!!!!!!!!!!!! plz help me
Answers
Step-by-step explanation:
In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!
I bought 45 oz of flour. She used 15.6 oz to make a loaf of bread, 0.71 oz for each muffin. How many muffins were made if you have 18.04 oz left over?
Answers
Answer:
16
Step-by-step explanation:
Total weight of flour =45 ozWeight of flour used for bread =15.6 ozLeftover =18.04 ozTherefore:
Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)
=45-(15.6+18.04)
=45-33.64
=11.36 oz
Since each muffin is made with 0.71 oz of flour
Number of muffins made=11.36/0.71
=16
16 muffins were made.
[tex](3x-1)^{2} + 12x-4=0[/tex]
Can someone help me solve this. I am stuck at [tex]3(3x^{2} + 2x-1)[/tex]
Answers
To solve I would start by expanding the bracket and then collecting like-terms, and then re-factoring:
(3x - 1)² + 12x - 4 = 0
9x² - 6x + 1 + 12x - 4 = 0
9x² + 6x - 3 = 0
3(3x² + 2x - 1) = 0
From here you can factorise the bracket even further:
3(3x - 1)(x + 1) = 0
Then divide by 3:
(3x - 1)(x + 1) = 0
3x - 1 = 0
x = 1/3
x + 1 = 0
x = -1
I hope this helps! Let me know if you have any questions :)
Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2
Answers
Answer:
m = - 4, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = - 4x - 2 ← is in slope- intercept form
with m = - 4 and b = - 2
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answers
Answer:
1. Slope: -3; passes through (0,5)
y = mx + b
5 = -3(0) + b
5 = b
y = -3x + 5
2. Passes through (0, -2) and (4,-1)
m = -1 + 2 / 4 - 0
m = 1/4
y = mx + b
-2 = 1/4(0) + b
-2 = b
y = 1/4x - 2
Step-by-step explanation:
Part 1
1. write down the slope intercept formula
2. replace x and y by their value
3. solve for b
4. write your answer by putting them in the formula again
Part 2.
1. label your ordered pairs and write down the slope formula
2. solve for the slope by replacing the letters by their values
3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.
4. solve for b, and then put your answers back into the formula.
Draw a tree diagram for three fair coins tossed together once.
a) Derive the sample space.
b) Find the probability of getting:
i) at least one head
ii) at most one tail
iii) exactly three heads.
Answers
Answer:
I have attached a picture with the work to your question.
Please see the attachment below.
I hope this helps.
which one is the largest 20% , 4/15 , 0.21 , 1/4
Answers
Answer:
1/4 is the largest number in the list
solve for a side in right triangles
Answers
Answer:
AC = 3.06
Step-by-step explanation:
8) Lea and Elisa each improved their yards by planting hostas and geraniums. They
bought their supplies from the same store. Lea spent $69 on 11 hostas and 7
geraniums, Elisa spent $64 on 10 hostas and 7 geraniums. What is the cost of one
hosta and the cost of one geranium?
Answers
Answer:
hosta = $5 each
geranium = $2 each
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Leas's cost: 11 h + 7 g = 69
Elisa’s cost: 10h + 7g = 64
Where h is the price of one hosta and g is the price of one geranium.
Subtracting Elisa's cost to Leas's cost:
11 h + 7 g = 69
-
10h + 7g = 64
____________
h = $5
Replacing h in one equation:
11 (5) + 7 g = 69
55 +7g =69
7g = 69-55
7g= 14
g= 14/7
g= $2
What is the volume of a cone with diameter of 30 ft and height of 60 feet use 3.14 for pi enter your answer in the Box
Answers
Area of the top:
3.14 x 15^2 = 706.5 square feet.
Volume = area of top x height:
Volume = 706.5 x 60 = 42,390 cubic feet
If x is Equal to 7, what is 7 divided by 3 and round it up
Answers
Answer:
2.3 or 2
Step-by-step explanation:
1. Solve for x
X - 10 = 15
Answers
+10 on both sides
O'neil cinema charges $10.50 for each adult and $8.50 for each child. The total amount in ticket revenue one evening was $3136 and if there were 56 more children than adults. Write and solve a system of equations to determine how many children attended?
Answers
Answer:196 children 140 adults
Step-by-step explanation:
need help with my math checking it over just making sure its right please help it is a lot!
Answers
Answer:
14. 14.86 (simple subtraction)
15. 4 dollars (156/39 = 4)
18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)
19.14 (3.5/0.25)
20. A(understanding question contex)
25. 3a + 3b or C (add all the a's and b's together)
26. 5 (Divide apples by 3)
28.C(multiply all the sides together)
29. A (12/7 is fraction form of 12 : 7)
30. C (rate is 20 so 6 * 20 = 120)
31. D
Hoped this helped, this took a while to do :)
Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the
top of the streetlamp is 40. About how high is the streetlamp? (6 points)
Answers
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
Read more on Brainly.com -
Lightning electronics changes $9.98 plus 0.75 per pound to ship electronics purchases. Write and solve an equation to find the weight in pounds, of a DVD player for which the shipping charge is $18.23
Answers
Answer: 11 pounds
Step-by-step explanation:
x : # of pounds an electronic is
9.98 + 0.75x : total cost of shipping an electronic that is "x" pounds
9.98 + 0.75x = 18.23
0.75x = 8.25
x = 11 pounds
if r = 7 and s = 10, find R. Round to the nearest 10th
Answers
Answer:
R = 35.0
Step-by-step explanation:
We know tan theta = opp/ adj
tan R = r/s
tan R = 7/10
Take the inverse tan of each side
tan ^-1 tan (R) = tan ^-1 (7/10)
R =34.9920202
R = 35.0
Answer:
A. 35º
Step-by-step explanation:
what is the sum of the infinite series: 1-4+16-64+. . .
Answers
Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Answers
Answer:C
Step-by-step explanation:
By visual inspection, the best-fitting regression model for the data plot is the linear regression.
What is a regression model?A regression model determines a relationship between an independent variable and a dependent variable, by providing a function.
Determining the regression model :-
From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases,
This type of model is a linear regression model.
Hence, the best-fitting regression model for the data plot is the linear regression.
Read more about regression models at:
brainly.com/question/17844286
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I need help with this
Answers
Answer:
Step-by-step explanation:
1/2
estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m
Answers
Answer:
7 meters
Step-by-step explanation:
Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.