Answer:
mean: 4
median: 5
mode: 5
range: 4
Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.
Answer:
The height of the tree is approximately 71.5 feet
Step-by-step explanation:
The given parameters are;
The angle of elevation to see the top pf the tree = 50°
The distance Peggy is laying from the base of the tree = 50 ft.
In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground
Therefore, the line of sight to the top of the tree, the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle
Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying
The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;
θ = 180° - 90° - 50° = 40°
θ = 40°
By sine rule we have;
h/sin(50°) = d/(sin θ)
∴ h/sin(50°) = 60 ft./(sin 40°)
h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.
∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth
Please help ASAP thank you
Step-by-step explanation:
5/8-7/8=2/8 so that is the height
the width is 1/2
and the length is 3/8
you have too multiply 1/2 and 3/8 which is 3/16.
hope this is correct and helps u out
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
I thinks it's the third one
SOMEONE HELP PLS i mark the brainliest
Answer:
Step-by-step explanation:
UWV is a 30°-60°-90° triangle.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2
The length of the side opposite the 90° angle is 10,
so the length of the side opposite the 30° angle is 5
and the length of the side opposite the 60° angle is 5√3
am not sure what am doing
Answer:
Step-by-step explanation:
They are showing you how to factor 12-9i+8i-6i².
Find the greatest common factor in each row and each column.
Blue: GCF of 12 and -9i = 3
Orange: GCF of 8i and -6i² = 2i
Red: GCF of 12 an 8i = 4
Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i
HELPPP PLEASEEE I need it like for real
Answer:
51
Step-by-step explanation:
what is the value of the x- intercept of the following equation? 2x-6y=14
Answer:
x-3y-7=0
Step-by-step explanation:
2x-6y=14
2x-6y-7=0
x-3y-7=0
Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?
Answer:
66$
Step-by-step explanation:
50$-11$+27$
66$
Answer:
$66
Step-by-step explanation:
$50- $11= $39
$39+ $27= $66
What is the postulate?
Step-by-step explanation:
Blank #1 STQ
Blank #2 SSS (Side-Side-Side)
In a new movie
theatre, seats will
be installed in the
unshaded area
How many square
feet are available
for seats?
Answer. 655.4
Step-by-step explanation:
what did u get?
What is the total surface area??? Please help
Answer:
216
Step-by-step explanation:
8(6) + (10+6+8)(7)
48 + 24x7
48 + 168
216
2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful
Answer:
x = 3
Step-by-step explanation:
2x + 8 = 14
2x = 6
x = 3
Answer:
3
Step-by-step explanation:
subtract 8 from both sides
then divide 2 from both sides to get x = 3
(Geometry): find x.
20x + 1 = 720
20x = 719
x = 35.95
Your answer: 35.95
Proof:
(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720
HELP PLEASE OMGGGGGGGGGGGGG
Answer:
7x-2+5x-10+4x=180°
16x-12=180
16x=192
x=192/16
x=12
Please help its due in a hour
Answer:
good luck
Step-by-step explanation:
Solve for x. Enter the solutions from least to greatest.
x2 + 16x + 63 = 0
lesser x =
greater x =
Answer: less= -9.41
Greater= -6.59
Step-by-step explanatio. it is
Answer:
Step-by-step explanation:
Write an equation that represents the line. (Use exact numbers)
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{3}{4} x+2[/tex]
Step-by-step explanation:
When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.
1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:
[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]
Thus, the slope is [tex]\frac{3}{4}[/tex].
2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.
3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex] and the [tex]b[/tex] to write the equation of the line.
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:
[tex]y = \frac{3}{4} x+2[/tex]
chords with inscribed angles
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
Will be marked brainliest if answered correctly
Answer:
the second one
Step-by-step explanation:
Answer:
Hope that answers your question
You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?
Answer:
One pound of apple = $1
One pound of Orange = $2
Step-by-step explanation:
Plz mark brainliest thanks
Answer:
Apples $1
oranges $2
Step-by-step explanation:
For each diagram, decide if y is an increase or a decrease of x. Then determine the
percentage.
A
у
B
у
Answer:
A: Decrease, y is 80% of x
B: Increase, y is 160%of x
Step-by-step explanation:
It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5
A: x is 5 and y is 4 since y is less it is a decrease. to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x. and it makes sense it is less than 100% since x is less than y
B: x=5 and y=8 y is greater than x so it is an increase and will be more than 100%. 100*8/5 = 160 so y is 160% of x
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours, does Jackson spend painting each picture?
Help help help help help help help
Answer:
35/14
Step-by-step explanation:
Volume = 4 * h * 7 / 2 = 14h
35/14 = h
How do you identify the bases of any prism?
Answer:
Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.
Step-by-step explanation:
A person on a moving sidewalk travels 72 feet in 9 seconds. The moving sidewalk has a length of 240 feet. How long will it take to move from one end to the other?
Answer:
30 seconds
Step-by-step explanation:
Speed of person :
72 feets in 9 seconds
Distance = 72 feets ; time = 9 seconds
Speed = distance / time
Speed = 72 / 9 = 8 ft/s
Length of sidewalk = 240 feets
Time it takes to move from one end to the other :
Time = distance / speed
Time = 240 feets / 8 feets /sec
Time taken = 30 seconds
HELP FOR 20 POINTSSS
x =3 ; y=8.4
x = 3 ; y = 15
x = 6 ; y =7.5
x = 6; y =18
Answer:
The first one.
Step-by-step explanation:
solving for x:
5/2 = 7.5/x
cross multiply
2 ×7.5 =5x
x= 2×7.5/5
x= 3
solving for y:
values of the small triangle over the bigger triangle-
5/6 =7/y
cross multiply and solve for y
y= 8.4
therefore (x= 3; y= 8.4)
YOU ARE VERY WELCOME!
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?
A. 21 and 14
B. 14 and 21
C. 20 and 15
D. 15 and 20
Answer:
A. 21 (boys) and 14 (girls)
Step-by-step explanation:
2+3=5
35÷5= 7
7×3=21 boys
7×2=14 girls
please help im struggling and it’s due in 30 minutes
Can somebody please help me !!!!!!!!!47$4&
Answer:
30 celsius
Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C
Apply the Distributive Property to Simplify the Expression
9 (4 1/3)