Answers
Answer:
take 20 degree as reference angle
let hypotenuse be x
using cos rule
cos 20=adjacent/hypotenuse
0.93=7/x
0.93*x=7
x=7/0.93
x=7.5
Step-by-step explanation:
Related Questions
A and B are two events. Let P(A)=0.45, P(B)=0.2, and P(A and B)=0.65 Are the events are independent?
Answers
Answer:
[tex]P(A ) \times P( B) = 0.45 \times 0.2 \\ = 0.09[/tex]
They are not independent
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answers
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
a line passes through point (-10,3) and has a slope of 1/2. write an equation in Ax+By=C form for this line. Use integers for A, B, and C
Answers
Answer:
-10, -4
Step-by-step explanation:
Is this triangle acute, right, or obtuse?
acute
Right
Obtuse
Answers
Answer:
that is a right triangle.
Step-by-step explanation:
if you do not know, then the square on the corner means 90 degrees. which is a right angle. acute angle means less than that square, and obtuse means over the square. (less and over 90 degrees)
At a large university, 15% of students are left-handed. A psychology professor selects a random sample of 10 students and records L = the number of left-handed students in the sample. Let 00-14 represent selecting a left-handed student.
Starting on line 2 of the random-number table, complete 4 trials of the simulation, and then enter the proportion (as a decimal) of these trials for which you obtained the number of successes shown in the table.
A =
B =
C =
D =
Answers
Answer:
A=.25
B=.25
C=.25
D=.25
Step-by-step explanation:
plz help urgent so easy will give brainliest mark for the first answer given!!
Answers
Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9
[tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]
[tex]y=-\frac{4}{9}x-1[/tex]
By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12
[tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]
[tex]y=-\frac{5}{3}x+4[/tex]
Slope of the line = [tex]-\frac{5}{3}[/tex]
y-intercept = 4
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Answers
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
----------------------------------------------------------------------------------------------------------------
Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
----------------------------------------------------------------------------------------------------------------
2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
Una recta atraviesa el punto (8, -1) y tiene una pendiente igual a 5/4.
Escribir una ecuación en forma pendiente intersección para esta recta.
Answers
Answer:
y = (5/4)x - 11
Step-by-step explanation:
Use y = mx + b as your starting point. This becomes y = (5/4)x + b.
Substitute 8 for x and -1 for y and solve for b:
-1 = (5/4)(8) + b, or
-1 = 10 + b.
Then b must be -11, and the desired equation is
y = (5/4)x - 11
I NEED HELP WITH THIS RIGHT NOW!!
Kurt is training to run in a race. He recorded the distances and times of his trainings runs last week. On which day was the ratio of time to distance the greatest?
Answers
Answer:
c
Step-by-step explanation:
just derived everyone
you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it. how much will you pay for shipping
Answers
Answer:
$127.5
Step-by-step explanation:
150*15%=22.5.
150-22.5=127.5
Don't buy this, totally not worth it.
Answer:
$22.5
Step-by-step explanation:
We will pay 15% of 150 for shipping: 150 * 0.15 = 22.5
PLEASE GIVE BRAINLIEST MEANS ALOT
This is for the little kids what is the answer for 200-500
Answers
Answer:
-300
Step-by-step explanation:
if you deposit $2000 in an account that pays 6.5% annual interest compounded continuously, what is the balance after three years
Answers
Answer:
429.34
Step-by-step explanation:
I know trust me
please help me with the first couple steps of this problem
Answers
Help please gotta pass
Answers
Answer:
(59,93)
Step-by-step explanation:
What's the domain of this function graph?
Question 12 options:
A)
[0,∞)
B)
[1,∞)
C)
(–∞,∞)
D)
(–∞, 0)
Answers
The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as 1973 ≤ t ≤ 2008 1973 ≤ t ≤ 2008 and the range as approximately 180 ≤ b ≤ 2010 180 ≤ b ≤ 2010.
1. last question. please help me out thank you. ill mark you brainlist
Answers
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
What is the constant of proportionality
Answers
Answer:
1/2
Step-by-step explanation:
1/2 x 1/2 = 1/4
3/4 x 1/2 = 3/8
1/1 x 1/2 = 1/2
5/4 x 1/2 = 5/8
(5/4 = 1 1/4)
Olaf's friend agreed to lend him some money to start a business. He has
been kind to offer him $25,000 with a low simple interest rate of 1%. If Olaf
doesn't make any payments for 5 years, how much interest will have
accrued? *
Answers
Answer:
ok so add the 25.00 and subtract by 5
Step-by-step explanation:
25-5=$ 20
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y = 1/5x+ 5. What's the equation of the line?
OA) y= -1/5x+1
B) y=1/5x+4
C) y = 5x - 2
OD) y = -5x + 5
Answers
Answer:
D) y = -5x + 5
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 1/5x + 5. Its slope is 1/5. A line parallel/perpendicular to this one will have a slope of -5.
Plug this value (#) into your standard point-slope equation of y = mx + b.
y = -5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -5(2) + b
To find b, multiply the slope and the input of x (2)
-5 = -10 + b
Now, add 10 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -5x + 5
This equation is parallel/perpendicular to your given equation (y = 1/5x + 5) and contains point (2, -5)
Hope this helps!
Solve for Y (geometry)
Answers
Answer:
[tex]y=10[/tex]
Step-by-step explanation:
We know that the sum of these two angles is 180 degrees. Why? Imagine if the horizontal line was perfectly horizontal. There would be two 90 degree angles, one at each intersection of the vertical lines. If the rotate the line, we haven't magically removed or added degrees, so we know it is still 180 degrees.
Hence, the equation is:
[tex]180=120+6y\\60=6y\\\bold{y=10}[/tex]
You mix the letters A, C, Q, U, A, I, N, T, A, N, C, E throughly. Without looking you select one letter. Find the probability of each event. Write your answer as a fraction.
1) P(T)
2) P(A)
3) P(vowel)
4) P(N)
Answers
2. 3/12
3. 6/12
4. 2/12
The lengths of the sides of a triangle are in the extended ratio 5: 8.9. The perimeter of the triangle is 44 cm. What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
Answers
Answer:
10cm, 16 cm, 18 cm,
Step-by-step explanation:
The lengths of the sides of a triangle are in the extended ratio 5: 8.9. The perimeter of the triangle is 44 cm.
Sum of proportion = 5 + 8 + 9
= 22
Length of side a
5/22 × 44 = 10 cm
Length of side b
8/22 × 44 = 16 cm
Length of side a
9/22 × 44 = 18 cm
The lengths of the sides of the triangle in cm are 10cm, 16 cm, 18 cm,
State and classify the restrictions on the variable as either removable or nonremovable and explain how you got that answer.
Please help, I have no idea how to do this and I'll give 70 points :)
Answers
We have 3 non-removable restrictions at x = -4, x = 1, and x = -1.
How to see if it is removable or non-removable?
Here we have the expression:
[tex]\frac{x - 3}{x + 4} /\frac{x^2 - 1}{x}[/tex]
This can be rewritten as:
[tex]\frac{x-3}{x + 4} *\frac{x}{x^2 - 1}[/tex]
We can rewrite the denominator of the second fraction as:
[tex]x^2 - 1 = (x - 1)*(x + 1)[/tex]
Then we rewrite the expression as:
[tex]\frac{x-3}{x + 4} *\frac{x}{(x- 1)*(x + 1)} = \frac{x*(x - 3)}{(x + 4)*(x + 1)*(x - 1)}[/tex]
So, none of the factors in the denominator is also in the numerator meaning that none of the restrictions is removable.
Then we have 3 non-removable restrictions at:
x = -4, x = -1, x = 1.
If you want to learn more about rational expressions:
https://brainly.com/question/1851758
#SPJ2
3. Study the numerical expression 7 x (9-3). Which one of the following expressions is equivalent to this numerical expression?
A.Multiply 7 by the difference between 9 and 3.
B.Multiply 7 by 9, then subtract 3.
C.Subtract 3 from the product of 7 and 9.
D.Three less than the product of 7 and 9.
Answers
Answer:
B
Step-by-step explanation:
First step is to do whatever is in the parentheses: 9-3.
Then you will multiply 7 by that number; which will give you the answer.
B is correct because it does it that way.
Solve for the values of x:
(2x + 5)(5x - 2) = 0
Answers
either 2x + 5 =0
or 2x = -5
or x = -5÷2
again
5x - 2 = 0
or 5x = 2
or, x = 2/5
answer =
-5/2 or 2/5
find the value of x:)
Answers
Answer:
180 - 58 - 42 = x : sum of angles in a triangle add to 180
80 = x
find the product
8y^3(6y^2-7y+2)
Answers
Answer:
48y^5-56y^4+16y^3
Step-by-step explanation:
Answer:
Step-by-step explanation:−look at picture
Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?
Answers
Answer:
12 bounce
Step-by-step explanation:
Let :
Number of Menard's bounce = x
Ben's bounce = x + 8
Diego's bounce = 2x
If Diego's bounce = 8
Then ;
2x = 8
x = 8/2
x = 4
Ben's bounce = x + 8
Ben's bounce = 4 + 8 = 12
Can someone please help me on this?
Answers
Answer:
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
PLS HURRRRRRRYYYYY TYYY
Answers
Answer:
It's 15.70796. Won't go in-depth since time seems to be of the essence
Step-by-step explanation:
Won't go in-depth since time seems to be of the essence
