Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
I need help ASAP i will give brainlist
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
William is making a pie. He uses 1/2 cup of blueberries and 2/3 cup of raspberries. What is the total amount of berries in William’s pies? *
1 point
3/5 cup
2/6 cup
one and 1/6 cups
3/6 cup
Helpppp me plzzzzzzz ALSO IM SERIOUS NO FILESSSSSSSS!!!! PLESE SOME ONE HELP ME
Answer:
one and 1/6 cups (1 1/6)
Step-by-step explanation:
2/3 + 1/2
TOTAL means addition.
To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).
The denominator of 2/3 is 3.
The denominator of 1/2 is 2.
Now, we list the multiples of the denominator and find the lowest multiple they have in common.
3: 3, 6, 9, 12, 15
2: 2, 4, 6, 8, 10
The lowest number they have in common is 6.
Second, we change the denominators to 6.
In 2/3, to make 3 into 6, we have to multiply it by 2.
Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.
2/3 x 2/2 = 4/6
Now we do the same for 1/2.
1/2 x 3/3 = 3/6
Now, we add the new fractions.
4/6 + 3/6 = 7/6
7/6 = 1 1/6 (one and 1/6 cups).
Please Help me with this thank you
Robert climbed 775 steps in 12 and one half (1/2) minutes
How many steps did he average per minute?
There are 870 people attending a conference.if 8.9% were canda how many people is this
Answer:
77.43
Step-by-step explanation:
Answer:
77.43 people were canda
Step-by-step explanation:
To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.
what is
8 + 2 × 6 - 2^4
Answer:
4
Step-by-step explanation:
8+2=10
10x2=60
60-2^4=4
the value of 2^4 is 56
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]
[tex]\mathsf{2\times 6 = \bf 12}[/tex]
[tex]\mathsf{8 + 12 - 2^4}[/tex]
[tex]\mathsf{8 + 12 = \bf 20}[/tex]
[tex]\mathsf{20 - 2^4}[/tex]
[tex]\mathsf{2^4}[/tex]
[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]
[tex]\mathsf{= 4\times 4 }[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{20 - 16 = \bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The Eye Bank in Venice has a unique construction. If one of its trapezoidal panels has a height of 50 feet and bases of 40 feet and 36feet, what is its area?
Answer:
Area is 1900
Step-by-step explanation:
Give Me Brainllest
A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?
Answer:
30
Step-by-step explanation:
120÷4=30 (4 because a square has 4 sides)
and you can check it by doing 4×30=120
hope this helped
- Sam bought 3 lbs. of grapes at $2.99 per pound, and 4 lbs. of apples at $1.89 per pound. What
change will he get from a $20 bill
Answer:
3.47$
Step-by-step explanation:
How do I solve this problem below!
Answer:
$5.44
Step-by-step explanation:
$1.75 + $1.26 + $1.08 + $0.52 = $4.56
$10.00 - $4.56 = $5.44
a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?
Answer:
(0,2) is the answer - Option C.
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope and the point is [tex](x_0,y_0)[/tex]
Slope of 9/5 if one of the points on the line is (-10, -16)
This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]
[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]
Which of the following could be another point on the line?
We have to find a point for values of x and y which gives us an identity. So
Option A:
x = -5, y = -6
Lets see
[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]
[tex]10 = \frac{9*5}{5}[/tex]
[tex]10 = 9[/tex] -> False
So this is not the answer.
Option B:
x = 4, y = 11
[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]
[tex]27 = 9*14/5[/tex]
False
Option C:
x = 0, y = 2
[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]
[tex]\frac{90}{5} = 18[/tex]
[tex]18 = 18[/tex]
True, so (0,2) is the answer - Option C.
Ethan needs to buy 20 T-shirts for the basketball team. If there are 10 T-shirts in each pack, how many packs of T-shirts should Ethan buy?
Answer:
2 packs
Step-by-step explanation:
because 10+10 =20 so he would buy 2 packs of t-shirts :)
Solve each equation.
2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25
Answer:
jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt
Step-by-step explanation:
ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6
find the volume of this cylinder. round to the nearest tenth
Answer:3418
Step-by-step explanation:
The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
To find the volume of a cylinder, you can use the formula:
Volume = π * r² * h
Given:
Radius (r) = 8 ft
Height (h) = 17 ft
Plugging these values into the formula, we can calculate the volume:
Volume = π * (8 ft)² * 17 ft
= π * 64 ft² * 17 ft
≈ 3418.05 ft³
Rounding the volume to the nearest tenth, we get:
Volume ≈ 3418.1 ft³
Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
To know more about volume of the cylinder click here:
https://brainly.com/question/16788902
#SPJ2
omg help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
the image isn't clear
can you type the numbers???
Step-by-step explanation:
4) You are making a batch of cookies. Each batch uses 3 cups of flour and will give 7 servings. You
are going to multiply your recipe to offer more servings, so you use 11 cups of flour. How many
servings will you actually be able to offer?
a. 22
b. 25
31
d. 38
C.
rolexing and upsetting. For at that time I had already
Answer:
B is correct
Step-by-step explanation:
A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators leave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?
Answer:
A. 30000
B. 12000
Step-by-step explanation:
Find out how much spectators leave in 1 minute.
1 second = 5
1 minute = 5 x 60 = 300 (60 seconds)
20 minutes = 300 x 20 = 6000
Since there were only 80% of the full capacity of spectators and after minutes it became 60%...
80% - 60% = 20%
20% = 6000
1% = 6000 ÷ 20 = 300
100% = 300 x 100 = 30000
1 minute = 300 spectators leaving
1 hour = 300 x 60 = 18000 (60 minutes)
30000 - 18000 = 12000
Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?
(Show your work)
Write the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form
What is the equation
Answer:
[tex]y = 4x+17[/tex]
Step-by-step explanation:
1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
[tex]m[/tex] represents the x and y values of one point the line intersects, so substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:
[tex]y-5 = 4(x+3)[/tex]
2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:
[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]
The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The line's equation in point-slope form is;
y = mx+c
We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;
y-y₁=m(x-x₁)
y-5=4(x-(-3)
y-5=4(x+3)
y--5=4x+12
y-4x+17
Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
To learn more about the slope refer to the link;
https://brainly.com/question/3605446
#SPJ2
What is the area of this trapezoid?
A.264 units2
B. 204 units2
C. 174 units2
D.234 units2
Option : D
Hope it helps you!
what is solution to
12²-5²
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
Which expressions represent 1 more than the product of 5 and 2?
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
Help please I’ll mark brainliest
Answer:
y=7x
Step-by-step explanation:
a/4 + 2 = 6
Please help I need this ASAP!!!
the answer is on the picture
Some one please help me ASAP
Answer:
The answer is 4
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
You have two angles given 90(right angle) and 57.
Add them to get 147 then subtract from 180.
180 - 147 = 33
Set 33 equal to the expression
33 = 4x + 17
33- 17 = 4x
16 = 4x
4 = x
What is the distance between (1,7) and (9,1)
Answer:
10
Step-by-step explanation:
Given two points we can use the distance formula to calculate the distance between the two points.
Formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where the x and y values are derived from the given points.
we are given the points (1,7) and (9,1)
To find the distance we plug in the x and y values of the points into the formula
[tex]d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10[/tex]
So we can conclude that the distance between the points (1,7) and (9,1) is 10 units
Find the tangent of angel U.
Answer:
C
trust me that is my answer
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?