Answer:
40 feet represents the height of the tree ⇒ H
Step-by-step explanation:
Let us solve the question using the proportional
∵ A tree casts a shadow 64 feet long
∴ L[tex]_{T}[/tex] = 64 feet
∵ At the same time, a girl 5 feet tall standing near the tree
∴ H[tex]_{G}[/tex] = 5 feet
∵ She casts a shadow that is 8 feet long
∴ L[tex]_{G}[/tex] = 8 feet
The ratios between the shadows and the heights of the tree and the girl are proportional
∵ [tex]\frac{H_{T}}{H_{G}}[/tex] = [tex]\frac{L_{T}}{L_{G}}[/tex]
→ Substitute their values in the equivalent ratios
∴ [tex]\frac{H_{T}}{5}[/tex] = [tex]\frac{64}{8}[/tex]
→ By using cross multiplication
∴ H[tex]_{T}[/tex] × 8 = 5 × 64
∴ 8H[tex]_{T}[/tex] = 320
→ Divide both sides by 8
∴ H[tex]_{T}[/tex] = 40 feet
∴ 40 feet represents the height of the tree
*
0
1
3
4
1
2
3.
4
4
ER
ole
8
5 6
Table 1
9
1 4
Table 2
16
Identify the table that represents a linear function.
x
H
0
1
3
4.
x
1
2
3
4
f(x)
0
-1
0
2
18
32
f)
8
15
0 3
Table 4
Table 3
Answer:
• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Translate this phrase into an algebraic expression.
10 more than twice Goran's height
Use the variable g to represent Goran's height.
2g+10
twice the height is 2g, then add 10
Answer:
2g + 10
Step-by-step explanation:
The measure of an ____ angle of a tringle is equal to the sum of the measures of its remote interior angles
Answer:
Exterior.
Step-by-step explanation:
A triangle has three sides. According to the theorem of exterior angles, the sum of two opposite interior angles is equal to the exterior angle of the triangle.
The sum of angle of triangle is equal to 180 degrees.
ATQ,
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
A stock has a beta of 1.30, the expected return on the market is 10 percent, and the risk-free rate is 4.6 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
11.62%
Step-by-step explanation:
Calculation for What must the expected return on this stock be
Using this formula
Expected return=Risk-free rate+(Expected market return -Risk-free rate)*Beta
Let plug in the formula
Expected return=4.6%+(10%-4.6%)*1.30
Expected return=4.6%+(5.4%*1.30)
Expected return=0.046+0.0702
Expected return=0.1162*100
Expected return=11.62%
Therefore What must the expected return on this stock is 11.62%
Find the area of rectangle ABCD.
20
10 √2+ √82
24
12
Answer:
12 units²
Step-by-step explanation:
AB = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex] = [tex]\sqrt{(0-3)^2 +(0-3)^2}[/tex] = 3√2
BC = [tex]\sqrt{(5-3)^2 +(1-3)^2}[/tex] = 2√2
[tex]A_{ABCD}[/tex] = AB × BC = 3√2 × 2√2 = 12 units²
Answer:
So I did the assignment, and the answer that you're looking for in this problem would be 12.
Leaving work, Duncan drove at 30 mph for 20 minutes. Then he drove at 40 mph for 12 minutes to reach home. How far did he drive to get home?
So first, we're gonna split these into their own little sections.
If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.
For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.
Add 10 and 8, and he drove a total of 18 miles to get home.
Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds), which are summarized in the table below.
Mean Standard deviation
Ali \mu_A=59μ
A
=59mu, start subscript, A, end subscript, equals, 59 \sigma_A=4.8σ
A
=4.8sigma, start subscript, A, end subscript, equals, 4, point, 8
Bruno \mu_B=50μ
B
=50mu, start subscript, B, end subscript, equals, 50 \sigma_B=3.6σ
B
=3.6sigma, start subscript, B, end subscript, equals, 3, point, 6
Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assume that their times are independent.
Find the probability that the Ali's finishing time is faster than Bruno's.
You may round your answer to two decimal places.
P\left(\text{Ali faster}\right)\approx
Answer:
.07
Step-by-step explanation:
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A.) A comparison of the area and circumference is not possible since the area cannot be determined.
B.) The numerical value of the circumference and area are equal.
C.) The numerical value of the circumference is greater than the numerical value of the area.
D.) The numerical value of the circumference is less than the numerical value of the area.
Test is on edge 2020
Answer:
C
Step-by-step explanation:
circumference is pi times diameter
pi times 3 is 9.42
area is pi times radius squared
radius is 1.5
1.5^2 is 2.25
pi times 2.25 is 7.06
The two lines y = 4x+5 and y = 4x – 2 are parallel because their slopes are equal (both equal to 4). What
happens when you try to algebraically solve for their intersection point?
Answer:
When solving, you will get a false statement, and therefore there is no solution.
Step-by-step explanation:
Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:
[tex]4x + 5 = 4x - 2\\5 = -2[/tex]
In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.
two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given wo lines are y = 4x+5 and y = 4x – 2
These two lines are parallel because there slope is 4 for both.
Let us solve these two equations algebraically to find out intersection point.
4x+5=4x-2
5=-2
Since 4x is cancelled on both sides and has no x variable means there is no intersection point.
Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
To learn more on slope of line click:
https://brainly.com/question/14511992
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Please give me the correct answer
Answer:
We notice about these areas that:
All areas are perfect squares ⇒ 1st
The sum of the areas of the two smaller squares is equal to the area of the larger square ⇒ 3rd
Step-by-step explanation:
Let us solve the question
∵ The perfect square number is the product of a number and itself
∵ The areas of given squares are 25 m², 9 m², and 16 m²
∵ 25 = 5 × 5, 9 = 3 × 3, 16 = 4 × 4
∴ 25, 9, and 16 are perfect squares
∴ All areas are perfect squares
∵ 9 m² and 16 m² are the areas of the two smaller squares
∵ 9 m² + 16 m² = 25 m²
∵ The area of the larger square is 25 m²
∴ The sum of the areas of the two smaller squares is equal to the area
of the larger square
Callies family spends an average of $70 per month electric at that rate what can that family expect to pay electric for 1 year
Answer:
$840
Step-by-step explanation:
Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year
Note that:
1 year = 12 months.
Hence, if:
1 month = $70
12 months = $x
Cross Multiply
$x = 12 × $70
$x = $840
Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840
helphelphelphelphelphelphelphelphelphelp
Answer:
u=-6
Step-by-step explanation:
Answer: u = -6
Step-by-step explanation:
first, we move the terms.
5u - 9u = 30 - 6
then, i collected the like terms and calculated them.
-4u = 24
then, i simply divided both sides.
u = -6
the length of a model ship is 8 in. its actual length is 100 ft. what is the scale of the model?
Answer:
= 2/25 2 in 25 ft
Step-by-step explanation:
Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
C= 2x2
d = x
Answer:
3x^2+5x+8
Step-by-step explanation:
the perimeter is the sum of the sides
p=a+b+c+d
p=x^2+4x+8+2x^2+x
p=3x^2+5x+8
Helpppppp plssssssssss
Answer
I dont know
Step-by-step explanation:
I would love to help but I have no clue
Answer:
slope = 12/7
Step-by-step explanation:
y2 - y1 / x2 - x1 = slope
slope = 4-(-8)/0-(-7)
slope = 12/7
(GIVING BRAINLIEST!!)
Which future U.S. president wrote the document that acted as the model for the U.S. Constitution?
A) George Washington
B) James Madison
C) John Adams
D) Thomas Jefferson
Answer: B) James Madison
Step-by-step explanation:
What is the y-value of the solution to the system of
equations: y = x - 6 and y = -4 ? Just write the number for
your answer.
Answer:
x=2
Step-by-step explanation:
-4 = x-6
-4+6 = 2
x=2
CHECK:
2-6 = -4
Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and thunderstorms together.
Are the two events "rain today" and "thunderstorms today" independent events?
Since (0.9)×(0.3) is -BLANK- 0.25, then the two events -BLANK- independent.
BLANK 1: Greater Than, Less Than, Equal To.
BLANK 2: Are, Are Not.
Answer:
less than, are not
Step-by-step explanation:
n/a
Answer:
Greater than, are not
Step-by-step explanation:
An oatmeal container has a diameter of 9 inches and a volume of 239.4 in3. What is the lateral surface area of the oatmeal container? Hint: You have to use the Volume to find the height before you can calculate the lateral surface area. Round your answer to the nearest tenth.
Answer:
Lateral surface area = 106.4 [tex]in^{2}[/tex].
Step-by-step explanation:
Assumed that the oatmeal container has the shape of a cylinder. Its lateral surface area can be determined by:
lateral surface area = 2[tex]\pi[/tex]rh
But,
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is the radius, and h is the height.
From the question, volume = 239.4 [tex]in^{3}[/tex], and diameter = 9 inches, then;
radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{9}{2}[/tex]
= 4.5
radius = 4.5 inches
Thus,
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
239.4 = [tex]\pi[/tex]x [tex](4.5)^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
h = [tex]\frac{239.4}{20.25\pi }[/tex]
= [tex]\frac{11.8222}{\pi }[/tex]
h = [tex]\frac{11.8222}{\pi }[/tex] inches
Therefore,
lateral surface area = 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex](4.5)([tex]\frac{11.8222}{\pi }[/tex])
= 2 x 4.5 x 11.8222
= 106.3998
Lateral surface area of the oatmeal container is 106.4 [tex]in^{2}[/tex].
What is the tenth term of the sequence described by the following f1 = -2, tn =3tn-1
Answer:
The 10th term will be:
t₁₀ = 39366
Step-by-step explanation:
Given the sequence
tₙ = -3 tₙ₋₁
Given
t₁ = -2
substitute n = 2, to determine the 2nd term
tₙ = -3 tₙ₋₁
t₂ = -3 tₙ₋₁
t₂ = -3 t₂₋₁
t₂ = -3 t₁
t₂ = -3 × -2 ∵ t₁ = -2
t₂ = 6
substitute n = 3, to determine the 3rd term
tₙ = -3 tₙ₋₁
t₃ = -3 t₃₋₁
t₃ = -3 t₂
t₃ = -3 × 6 ∵ t₂ = 6
t₃ = -18
substitute n = 4, to determine the 4th term
tₙ = -3 tₙ₋₁
t₄ = -3 t₄₋₁
t₄ = -3 t₃
t₄ = -3 × -18 ∵ t₃ = -18
t₄ = 54
substitute n = 5, to determine the 5th term
tₙ = -3 tₙ₋₁
t₅ = -3 t₅₋₁
t₅ = -3 t₄
t₅ = -3 × 54 ∵ t₄ = 54
t₅ = -162
substitute n = 6, to determine the 6th term
tₙ = -3 tₙ₋₁
t₆ = -3 t₆₋₁
t₆ = -3 t₅
t₆ = -3 × -162 ∵ t₅ = -162
t₆ = 486
substitute n = 7, to determine the 7th term
tₙ = -3 tₙ₋₁
t₇ = -3 t₇₋₁
t₇ = -3 t₆
t₇ = -3 × 486 ∵ t₆ = 486
t₇ = -1458
substitute n = 8, to determine the 8th term
tₙ = -3 tₙ₋₁
t₈ = -3 t₈₋₁
t₈ = -3 t₇
t₈ = -3 × -1458 ∵ t₇ = -1458
t₈ = 4374
substitute n = 9, to determine the 9th term
tₙ = -3 tₙ₋₁
t₉ = -3 t₉₋₁
t₉ = -3 t₈
t₉ = -3 × 4374 ∵ t₈ = 4374
t₉ = -13122
substitute n = 10, to determine the 10th term
tₙ = -3 tₙ₋₁
t₁₀ = -3 t₁₀₋₁
t₁₀ = -3 t₉
t₁₀ = -3 × -13122 ∵ t₉ = -13122
t₁₀ = 39366
Therefore, the 10th term will be:
t₁₀ = 39366
An airplane flies with a constant speed of 700 miles per hour. How far can it travel in 2 hours?
Answer:
1400
Step-by-step explanation:
700 x 2 is 1400
So just multiply 700 times 2 and there's your answer
Answer:
1400 miles
Step-by-step explanation:
1 hour------ 700 miles
2 hours---- X
X= 700 x 2
X= 1400
What is the answer for X?
Answer: I think it’s 14
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
Alright so those to angles are complemntary meaning that when they are added together it will equal 90. So first you wanna set up an equation which would be 90 = 40+6x+2. Then you combine like terms and end up with 90=42+6x. Next you wanna subtract each side by 42 and now you have 48=6x. finally you divide each side by 6 and get x = 8
What is 12x-3+2x+13 equivalent to
Answer:
2(7x+5)
Step-by-step explanation:
Answer:
14x+10
Step-by-step explanation:
12x-3+2x+13
12x+2x+10
14x+10
Can someone help on a) please! Its due soon :(
Step-by-step explanation:
9.94 => 10 (1s.f.)
29.7 => 30 (1s.f.)
Hence we estimate the value of 9.94² * 29.7
as 10² * 30 = 3,000.
Answer:
Well the estimate answer could be 293.54291
Step-by-step explanation:
But the real answer is 293.54292
Hope this helped :)
what is the measure of angle X?
•100 degrees
•130 degrees
•135 degrees
•150 degrees
picture added. y
Answer:
130°
Step-by-step explanation:
Angle 50° underneath is the same as the missing angle next to x.
In a straight line , angles add up 180°. So 180°-50° gives 130°
I hope this helped you out.
Please can I have brainliest, thank my answer and rate it 5. :)
Perform the following calculation using the appropriate significant figure rules. 29.5 x 0.0340 + 29.5 x 0.0340 = ?
Solve for y.
10/9 =5y
Answer:
y = 2/9
Step-by-step explanation:
5. Each dimensional analysis problem has taken you 1.5 minutes to complete. How many dimensional analysis problems could you complete in 6 weeks of Chemistry class?
Step-by-step explanation:
So we're trying to get from minutes to weeks. The time intervals in question are:
Minutes -> Hours -> Days -> Weeks
So we set up our dimensional analysis. We're solving for amount of problems, so that goes in the numerator of the first fraction:
[tex]\frac{1problem}{1.5min}[/tex]
Now we want to know how many minutes in an hour, so we multiply by the next fraction:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr}[/tex]
After that, we want to know how many hours in a day:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d}[/tex]
and how many days in one week:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d} * \frac{7d}{1w}[/tex]
To solve the dimensional analysis problem, we multiply across the top of the entire expression, then divide across the bottom. So:
1 * 60 * 24 * 7 = 10,080
And then divide that by the bottom:
10,080 / 1.5 / 1 / 1 / 1 = 6,720
So you can solve 6,720 problems in one week. Multiply that by six and we get your answer:
40,320 dimensional analysis problems can be completed in 6 weeks of Chemistry class.
A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which when filled twice makes 1 kg of fertilizer. At this rate, how many times does she need to fill the flask to make the required amount of fertilizer for the crop?
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
Select all number that are prime PLZ HELP
Answer:
A. 29 Is the prime number.
hOpe it is helpful :)