Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is pulled. What is the probability that the first card drawn is a diamond and the second card is a club?
Answer:
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
The probability of independent events happening at the same time is the multiplication of the probabilities of each events.
First card:
A standard deck has 52 cards, of which 13 are diamonds. So
[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]
Second card:
The first card is replaced, so still 52 cards, of which 13 are clubs. So
[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]
What is the probability that the first card drawn is a diamond and the second card is a club?
Each drawing is independent, so
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Answer:
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Step-by-step explanation:
Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
Please help me!
Answer:a and b
Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C
Please help!!!!!! AAA
Answer:
D is correct
Step-by-step explanation:
1/12^3
Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have the same coefficient. Is Marcus correct? Explain
Answer:
Step-by-step explanation:
3x and 3y are not "like terms," despite having the same coefficient.
Like terms have the same variable. For example, 3x and 2x are like terms, so
3x+2x = 5x
Solve the equation
t−3.7=1.2
Answer:
t=4.9
Step-by-step explanation:
Answer:
t=4.9
Step-by-step explanation:
t-3.7=1.2
t-3.7+3.7=1.2+3.7
t=4.9
What times what equals -40 and add to make -3
Answer:
-8 and 5
Step-by-step explanation:
-8 × 5 = -40
-8 + 5 = -3
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?
Answer:
52.63%
Step-by-step explanation:
The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)
What is the complement of a 89° angle?
Answer:
the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
The value of a printer is decreasing by a constant percent rate e
value of the printer at the end of each year. which table represents the value of the printer at the end of each year
Answer:
b.
Step-by-step explanation:
help please I will appreciate it.
Answer:
The area is 6[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6
while shopping, betting spent five times as much as meg. if they spent a total of $108, how much did each person spend?
Answer:
meg spen $18 and betting spent $90
Step-by-step explanation:
How many molecules are in 35 gram sample of H2O
Answer:
The answer is 12.044*10^23 molecules of H2O
Find the missing length in the right triangle.
the quotient of 12 and the product of 4 and 5 as a numerical expression.
Answer:
Step-by-step explanation:
The "product of 4 and 5" is (4)(5). 12
The quotient of 12 and the product of 4 and 5 is ------------
(4)(5)
The numerical expression for the given phrase is 12/(4×5).
What is a quotient?In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The given phrase is the quotient of 12 and the product of 4 and 5.
Now, 12/(4×5)
= 12/20
= 3/5
= 0.6
Therefore, the numerical expression is 12/(4×5).
Learn more about the quotient here:
https://brainly.com/question/16134410.
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paki answeran naman po
Answer:
For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2
Step-by-step explanation:
The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.
plz help me on this
hope this sheet helps :)
Answer:
It would bounce at 78 centimeters height
Step-by-step explanation:
Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rate?
Answer:
R = 1.2%
Step-by-step explanation:
Given the following data;
Principal = 425
Time = 2
Simple interest = 10.20
To find the annual interest rate;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 10.20 = \frac {425*R*2}{100} [/tex]
[tex] 10.20 = \frac {850R}{100} [/tex]
Cross-multiplying, we have;
[tex] 1020 = 850R [/tex]
[tex] R = \frac {1020}{850} [/tex]
R = 1.2%
Therefore, the annual interest rate is 1.2 percent.
Exit Ticket 1/12 (A.2E, A.ZF)
What is the slope of a line perpendicular to a line with slope -6/5?
Answer:
5/6
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
-6/5
6/5
5/6,,
Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097
Answer:
b
Step-by-step explanation:
it's b and mark me brainlist plaese
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
44. Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard deviation of 0.02 mm. (a) What proportion of ball bearings has a diameter more than 5.03 mm
Answer:
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).
This means that [tex]\mu = 5[/tex]
With a standard deviation of 0.02 mm.
This means that [tex]\sigma = 0.02[/tex]
(a) What proportion of ball bearings has a diameter more than 5.03 mm
This is 1 subtracted by the pvalue of Z when X = 5.03. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.03 - 5}{0.02}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis
Please help! I don’t understand!
0.75 times what equals 3
What is the answer
Answer:
4
3/.75=4
divide 3 by point seven five
Jay's allowance is reduced $1.25 every time he forgets to clean his room. If he forgets to clean his room 7 times this month, how much is Jay's allowance reduced?
Answer:
$8.75
Step-by-step explanation:
1.25 times 7 equals 8.75 so it is reduced by 8.75
laShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answer:
C. 2 years at 6.5 percent
Step-by-step explanation:
I took the quiz and got it right Edg.2021
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
Learn more about sine law, click;
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The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
Graph a solution of x - 6 > 3
Find the missing length indicated. Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]
The hypotenuse of the 45-45-90 triangle is also the shorter leg of the
30-60-90 triangle
The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]