Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]
Therefore, in this case the diagonal would be 5 ft long.
Answer:
a
Step-by-step explanation:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
Help me!!!!!!! Plzzzz
Answer:
Option 3
Step-by-step explanation:
help i will make u brainllest
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
FUNCTIONS HELP ME ASAP
Hey there! :)
Answer:
f(-2) = 2.
Step-by-step explanation:
To find f(-2), we simply need to look at the y value at x = -2.
At x = -2, the y value is equal to 2.
Therefore:
f(-2) = 2.
Answer: b)2
Step-by-step explanation:
Visually, when x = -2, y = 2
a vertical flag pole TAD is supported by two wires AB and AC, given that angle ABD=67°,AB =2 m and AC =2.5m . find the length of AD
Answer:
a) 1.84m
b) 42.53°
Step-by-step explanation:
First, look though the diagram provided by the question.
And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]
Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia
To find the length of AD
[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]
[tex]AD=\frac{2}{sin 90} * sin 67[/tex]
AD= 1.84 m
Find the angle C
[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]
sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]
= 0.736
[tex]sin^{-1} (0.736)=47.39[/tex] degree
So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.
Same as the first question use the formula of sine rule and you will get the answer.
[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]
[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]
=0.676
=42.53°
So, the answer of the angle of CAD is 42.53°
Check the answer:
90°+47.39°+42.53°
=179.92°
=180°(rounded off)(Proved)
That is all from me. I hope you will understand my solution.
help i must get this correct i will make u brainllest
plzzz anyone
Answer:
22
Step-by-step explanation:
x-1 is a midsegment.
According to the Triangle midsegment theorem, x-1 is half of the third side (42)
x-1 = 42/2
x-1 = 21
x= 22
or
2x-2=42
2x=44
x=22
Hope this helps!
If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.
In this figure, they are similar because one side is half of the other.
So... divide the longer length in half and solve for x.
42 / 2 = 21
x - 1 = 21
x - 1 + 1 = 21 + 1
x = 22
Therefore, the answer is C.
Best of Luck!
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
The perimeter of the rectangle above is:
Answer:
A. 8x² + 2y²
Step-by-step explanation:
There is a formula for the perimeter.
2l + 2w
2(4x²) + 2(y²)
8x² + 2y²
The perimeter of the rectangle is 8x² + 2y².
What is the area of the triangle in the diagram?
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
please help ! what’s the correct answer ??
Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?
Answer:
2070
Step-by-step explanation:
Multiply 230 people by 9 ferries, if each ferry is used once.
Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13
Answer:
The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000
Answer:
10,000,000,000
hopefully this helped :3
Answer:
C.10,000,000,000
Step-by-step explanation:
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
Ratio and Proportion problem
Please help meh
Answer:
hope its helpful to uh.......
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?
Answer:
you need 36cups of flour
Step-by-step explanation:
3 cups of flour = 8 ounces of water
x cups of flour = 96 ounces of water
96*3 =8x
288 =8x
288/8=36
x=36
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
what is this answer 4\5+2\10
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the
cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.
Answer:
Step-by-step explanation:
we khow that the height of the cylinder is 32 inches
divide it by 2 to get the radius 32/2= 16
let V be the volume :
V= (4/3)*16³*π = 17157.28 in³ this really close to the volume of this sphereThe volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.
If the height of the cylinder is 32 inches.
The height of the cylinder and sphere are same.
Then the radius of the sphere will be
r = 32 / 2
r = 16 inches
Then the volume of the sphere will be
V = 4/3 π(16)³ cubic units
V = 5461.3 π cubic inches
Then the correct option is D.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ2
In the parallelogram below,
z = [ ?
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
Please help me find the answer ASAP