Answer:
No because they are not proportional. 2•3=6 but 4•3 does not equal 11.
A 200 foot long zipline cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes an angle of 61º with the ground. Calculate how far away the foot of the cable is to the base of the tree.
Answer:
~ 97 ft
Step-by-step explanation:
cos = adj/hyp
cos61 = adj/200
200 * cos61 = adj
adj = 96.961924049267406
~ 97 ft
The foot of the cable is 95 feet away from the base of the tree.
What is Trigonometric Function?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.
We have,
The angle between the ground and the cable is given as 61º.
In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.
Cosine(angle) = adjacent/hypotenuse
Cos(61º) = adjacent/200 ft
adjacent = Cos(61º)x200 ft
adjacent ≈ 0.475 x 200 ft
adjacent ≈ 95 ft
Therefore, the foot of the cable is 95 feet away from the base of the tree.
Learn more about Trigonometric Ratio here:
https://brainly.com/question/23130410
#SPJ2
can someone please help me with this?? please please please help me
Step-by-step explanation:
base is 12, hypotenuse is 20
so X² is h²-b²
so X=16
Help me please it’s urgent
Answer:
(y-7) = 2(x-1)
Step-by-step explanation:
The point slope form of a line with slope m passing through (a,b) is
(y-b) = m(x-a)
here slope m = (7-3)/(1- -1) = 4/2 = 2
The point used was (1,7)
So the equation is
(y-7) = 2(x-1)
Note:
#11 is correct
Solve the inequality, then identify the graph of the
solution.
2x – 1 > x + 2
N
X
-20
-10
0
10
20
r
-20
-10
0
10
20
-20
-10
0
10
20
-20
-10
0
10
20
Hope this is straightforward.
Dan sells beaded necklaces. Each large necklace sells for $6.40 and each small necklace sells for $4.80. How much will he earn from selling 7 large necklaces
and 1 small necklace?
Step-by-step explanation:
my horses are working and in the image above
Brainliest goes to whoever answers correctly
Answer:
The answer is C.
Brainliest for help please
Answer:
B
Step-by-step explanation:
Given
5 [tex]\frac{11}{40}[/tex]
= [tex]\frac{5(40)+11}{40}[/tex]
= [tex]\frac{200+11}{40}[/tex]
= [tex]\frac{211}{40}[/tex] → B
What is the answer? Some please help!!
Answer:
Area of the figure = 200 cm²
Step-by-step explanation:
Area of rectangle A = Length × Width
= 5×9
= 45 cm²
Area of rectangle B = 5 × 11
= 55 cm²
Area of rectangle C = 5 × 9
= 45 cm²
Area of rectangle D = 5 × 7
= 35 cm²
Area of rectangle E = 10 × 2
= 20 cm²
Total area of the figure = 45 + 55 + 45 + 35 + 20
= 200 cm²
Pls help me with this question
Answer:
its 6
Step-by-step explanation:
Answer:
Option D, 5 ounces
Hope this helps!
Find the lateral area of a cone with a diameter of 10 centimeters and a slant height of 9 centimeters round to the nearest tenth
Answer:
The lateral area of a cone is 141.4 square centimeters
Step-by-step explanation:
Mathematically, we have the formula for the lateral area of a cone as;
A = pi * r * l
where r is the radius of the cone and l
is the slant height of the cone
Mathematically, the radius is simply half the measure of the diameter
we have that as 10/2 = 5 cm
So substituting these values;
A = 22/7 * 9 * 5
A = 141.4 square centimeters
PLS ANSWER ASAP PLS DUE AT 9:35
Answer:
your answer is option B
Answer:
Your answer came out to be B.
Which is the correct data set for the box-and-whisker plot shown above?
Answer:
b
Step-by-step explanation:
10.5 rounded to 14.25 =15 so that is called natural number
Gina and her sister built a fort out of boxes. What is the volume of the fort?
Answer:
i don't know its hard
Step-by-step explanation:
SORRY
We will see that the total volume of the fort of boxes is 70.75 ft^3
How to get the volume of the fort?
For a rectangular prism of length L, width W, and height H, the volume is:
V = L*W*H
Then we can find the volume of the 3 boxes shown.
The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:
V = 3ft*2ft*2.5ft = 15ft^3
The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:
V' = 3ft*1.75ft*3ft = 15.75 ft^3
The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:
V'' = 4ft*4ft*2.5ft = 40ft^3
So the total volume of the fort is:
V + V' + V'' = 15ft^3 + 15.75 ft^3 + 40ft^3 = 70.75 ft^3
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
Find the value of x.
Answer:
Step-by-step explanation:
The equation for this is
12(x + 1) = 10(10 - x) and
12x + 12 = 100 - 10x and
22x = 88 so
x = 44
Find each product. (30 Points!)
just need an answer
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of AABC?
Answer:
Step-by-step explanation:
I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.
I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.
When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.
AD: y = -1/2x + 2
BE: y = 2x
If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.
-1/2x + 2 = 2x and
2.5x = 2 so
x = .8
And if x = .8, we can sub that into either equation to find y:
y = 2(.8) so
y = 1.6
So the coordinates of C are (.8, 1.6).
Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.
Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:
AC = .8944
BC = .4472
This allows me to use the Law of Cosines to find the measure of angle A.
Angle A = 26.56°
Now I can use the area formula for a triangle that says
[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and
[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so
A = .1999 units squared
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the pool?
Answer:
The height of the water increases 2 inches per minute. Or A
Step-by-step explanation:
Edge
Answer: A ( The height of the water increases 2 inches per minute)
The value of ( - 2 / 3 ) will be ……
a) Will be negative but more than -1
b) Will be greater than 0
c) Will be a positive but less than 1
d) Will be positive but between 0.5 and 1
Answer:
will be -0.667 so the answer will be greater than 0
y=2x+5
how do i find the x and y coordinates?
Answer:
for each x, the difference in the y value it has an origin at (0,5)
Step-by-step explanation:
if x equals 0, y equals 5.
if x equals 1, y equals 7 and so on
if x equals -1, y equals -5 and so on.
Answer:
I dont know to be honest I dont remember so yeahmmmm ummmmm
100 POINTS HELP! THIS IS A PROJECT. BUT AN ANSWER TOMORROW OR TODAY IS OKAY!
Describe how to find the terms mean, median, mode, and range of a group of numbers then, give examples. Make sure you include the data set (the group of numbers) you will be working with.
Answer: We will be working with the numbers 1-4, you can change the numbers to anything, just change the math.
The mean is the "average" of a set of numbers. Add up ALL the numbers, and then divide by how many numbers there are.
Ex. 1+2+3+4 then, 10/4 =2.5
The mode is the number that occurs most frequently in a set of numbers.
Ex. 1, 2, 2, 2, 3, 4, 2, 2, 4, : The mode would be 2.
The range is the difference between the smallest and highest numbers.
Ex. 1, 2, 3, 4, ,3, 2, 3, 4, : Put all the numbers in order, then subtract highest from lowest.
1,2,2,3,3,3,4,4
4-3=1 The range would be 1.
Answer:
The median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between. For example, the median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode! The difference between the highest and the lowest values in a set. Interval, also called range, a set of real numbers that includes all numbers between any two numbers in the set.
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
Which line is the correct graph for y = -3/4x
A/ blue line
B/ purple line
C/ green line
D/ red line
Answer:D
Step-by-step explanation:
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Complete the steps in the two-column proof.
♣:
♦:
Answer:
clover
Step-by-step explanation:
because
The measure of angle ∠x = 28°.
We have a geometrical figure [Refer to the image attached in the end].
We have to prove that x = 28°.
What is the measure of a Straight angle.The measure of straight angle is 180°.
According to the question -
Line DLG is a Straight line. Therefore -
2∠x + 124° = 180°
2∠x = 56°
∠x = 28°
Hence Proved.
To solve more questions on finding unknown angles, visit the link below-
https://brainly.com/question/28010527
#SPJ2
The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
What is an expression?An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.
According to the question,
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]
⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]
⇒[tex]-12x=bx[/tex]
⇒ [tex]b=-12[/tex]
∴ [tex]b=-12[/tex]
Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
Learn more about expression here
https://brainly.com/question/19131200
#SPJ2
Darryl was shopping for a new camera. He found one with an original price of $125.00 and is marked 45% off. Sales tax for the item is 5.2%. What is the final price of the camera, including tax?
Answer:
$75.25
Step-by-step explanation:
Given data
Original price =$125
Discount =45%
Tax=5.2%
Let us find the discount
45/100*125
0.45*125
56.25
Let us find the tax
5.2/100*125
0.052*125
6.5
Hence the amount is
125-56.25+6.5
=$75.25
Allison measured her rectangular deck and found that it has dimensions of 512 yards by 8 yards. Both the length and the width may have a measurement error of up to 15%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
5416.96 square yards
Step-by-step explanation:
To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.
512(1.15) = 588.8
8(1.15) = 9.2
Find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = (588.8)(9.2)
A = 5416.96
So, the maximum possible area is 5416.96 square yards
if CH CD and DG CD, then CH ? DG.
Answer:
The answer is A
Step-by-step explanation:
If two lines are perpendicular to that same line, then they are parallell.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer.
Answer:
Step-by-step explanation:
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
