Answers
Answer:
Step-by-step explanation:
A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.
The legs (sides that form the 90 degree angle) are both equal.
The hypotenuse is the leg multiplied by the square root of 2.
[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]
So [tex]x=24\sqrt{2} \approx 33.9[/tex]
Related Questions
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour
Answers
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.
Answers
Answer:
x=-1, -1/2, 3
Step-by-step explanation:
pls helllllllllllllp
Answers
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
How would you find the area of this?
Answers
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answers
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
an isosceles trapezoid is a trapezoid with congruent legs. true or false?
Answers
Answer:
true
Step-by-step explanation:
If a trapezoid has congruent legs, it is an isosceles trapezoid.
Hope this helps.
It is true, that an isosceles trapezoid is a trapezoid with congruent legs.
A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.
What is geometry?It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.
Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.
Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.
Learn more about geometry here:
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Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answers
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
What are the steps of finding the Circumference of a circle
Answers
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answers
Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD
Step-by-step explanation:
solve the equation 18y - 17 = 7 for y
Answers
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answers
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
Learn more about the equation here:
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There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answers
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
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the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answers
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answers
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
Learn more on length of an arc here: https://brainly.com/question/2005046
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters
Answers
The image of the front of the tower is missing, so i have attached it.
Answer:
Option B - 10,000 square millimeters
Step-by-step explanation:
From the image attached, we see that the dimensions of the front of the tower are;
Length; L = 200 mm
Width; w = 50 mm
Now, this front face takes the shape of a rectangle.
Area of rectangle = Length x width
Thus, plugging in the values of length and width, we will get;
Area of front face = 200 x 50
Area of front face = 10,000 square millimeters
Answer:
12,500 mm^2
Step-by-step explanation:
50 x 200 = 10,000 mm
(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm
10,000 + 2,500 = 12,500 mm^2
If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.
Answers
Answer:
9
Step-by-step explanation:
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Answers
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS
Answers
Answer: The correct answer is D!!! 60
Step-by-step explanation:
The measure of the value of x from the given quadrilateral is 81 degrees.
Circle geometryFrom the given diagram, the quadrilateral is inscribed in the circle.
USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;
x + 98 = 180
Subtract 98 from both sides
x + 98 - 98 = 180 -98
x = 180 - 98
x = 81 degrees
Hence the measure of the value of x from the given quadrilateral is 81 degrees.
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c(1)=-20 c(n)=c(n-1)+10 find second term
Answers
Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: Improving the healthcare system is more important than improving the education system.
Opinion B: Improving the education system is more important than improving the healthcare system.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."
Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answers
Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Hope this Helps!!!
Please help me with this question
Answers
Answer:
Either 36.35 or 16.00173
Step-by-step explanation:
the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.
IF you are supposed to use inverse cosine:
16.00173
IF NOT:
36.35182
hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
Answers
Answer:
graph b because its a parabola
Step-by-step explanation:
Answer:
Graph B does not belong
Step-by-step explanation:
All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic
3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2
Answers
Answer: A. 1/2
Step-by-step explanation:
3.64 divided by 60.5 ROUNDED plz answer!!!
Answers
Answer:
0.06
Step-by-step explanation:
what is the 7th term in the sequence 48,40, 32, 24,
Answers
Answer:
0
Step-by-step explanation:
Take the second term and subtract the first term
40-48 = -8
Take the third term and subtract the second term
32-40 = -8
The common difference is -8
We have the 4th term
24
The fifth term is
24-8 = 16
The sixth term is 16-8 = 8
The seventh term is 8-8 =0
Answer: 16
Step-by-step explanation:
The answer is 16 because you are going down by 8s
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answers
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answers
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answers
Answer:
0.8
Step-by-step explanation:
What is the values of x?
Answers
X = 4
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answers
Answer:
7/16
Step-by-step explanation:
