Answer: The shadow of the tree is 280 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
Use the Height to shadow for each. This works because the fractions must reduce to the same equivalent.
5/10 = 140/x
We can see that 5/10 is 1/2, so we need another fraction using 140 as the numerator that is equal to 1/2. That's easy here: Multiply 140 × 2 to get the new denominator, 280 that replaces x. That is the length of the shadow.
If you have a less obvious ratio, you can use Cross Multiplication to solve the unknown value in the ratio:
5/10 = 140/x Cross multiply the numerator of the left side times the denominator on the right side, and the denominator on the left side by the numerator on the right side:
5 × x = 10 × 140
5x = 1400 Divide both sides by 5 (the 5s "cancel" on the left)
5x/5 = 1400/5
x = 280
I hope this helps, especially when you see more questions like this in the future.
HELP ME PLEASE NEED HELP
Answer:
y = -3x - 6
Step-by-step explanation:
At an art auction, Geannina's painting sold for over $ 300 $300dollar sign, 300. Write an inequality that describes P PP, the price of Geannina's painting in do
Answer:
[tex]P > 300[/tex]
Step-by-step explanation:
Given
An art sold for over $300
Required
Represent as an inequality
Represent the price with p.
This implies that; P is over 300
In inequalities; the term "over" means greater than i.e. >
Hence:
P is over 300 is equivalent to [tex]P > 300[/tex]
How much more money is needed to make $10?
?
$5.95
$10
plz help me out. branliest whoever gets it right
Answer:
True!
Step-by-step explanation:
If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.
Increase £101 by 16%
Give your answer rounded to 2 DP.
Answer:
117.16
Step-by-step explanation
16% and add it to 100% then convert it to its decimal place so you have 1.16
1.16 X 101 = £117.16
Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation One-third x + one-fourth x + x = 57models the scenario, how many books does Lindsay own?
12
18
36
48
Answer: 12
Step-by-step explanation:
what is the value for the variable?
8^a = 1
Answer:
A=1
Step-by-step explanation:
Because A would stand for a variable and a variable would equal to 1
Al, Tom and Joe share €3000.
The ratio of the amount Al gets to the amount Tom gets is in the
ratio 5:4
Joe gets 1.5 times the amount Tom gets.
Work out the amount of money that Tom gets.
Answer:
Tom's share = €800
Step-by-step explanation:
Given that:
Amount shared by Al, Tom and Joe = €3000
Ratio of Al's share to Tom's share = 5 : 4
Joe's share = 1.5(Tom's share) = 1.5(4) = 6
Therefore,
Ratio of Al, Tom and Joe = 5 : 4 : 6
Let,
x be the number of times of amount each get.
5x + 4x + 6x = 3000
15x = 3000
Dividing both sides by 15
[tex]\frac{15x}{15}=\frac{3000}{15}\\x=200[/tex]
Tom's share = 4x = 4(200) = €800
Hence,
Tom's share = €800
what is the length of AC
Answer:
12 units
Step-by-step explanation:
[tex]\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units[/tex]
(geomatry) Pleasee help I'll give brainest and thanks :)
Also please don't answer if you don't know!! Thanks in advance
Answer:
JML=142 degrees
Step-by-step explanation:
This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.
What is the value of c in the equation below?
2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c
Answer:
c
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
A student is saving money to buy a DVD player. The student currently has $25 and plans to save $20 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x months.
y=
Answer:
y=25+20x
Step-by-step explanation:
Two planes leave an airport at the same time. Each flies at a speed of 110 mph. One flies in the direction N 60° E. The other flies in the direction S 40^ E How far apart are the planes after 3 hours?
P.S. We are doing the law of sine
2+17x
i need help i can not find the answer
Answer:
this question is not factorable with rational number so either trick question and the answer is no solution or it is typed wrong
Step-by-step explanation:
Which value of v makes 12 = 12 +
V – 8
a true statement?
2
Choose 1 answer:
А
v=8
B
v= 10
v= 12
D
v= 14
Millie expected 20 friends to show up to her birthday party, but 24 attended. What was
her percent error? Round to the nearest percent.
Answer:
Her percent error was: ≈ 17% (whole percent)
Step-by-step explanation:
Given
Approximate value = 20 friends
Exact Value = 24 friends
To determine
Percent error
Using the formula to calculate the Percent error
Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100
= | 20 - 24 | / | 24 | × 100
= | - 4 | / | 24 | × 100
Apply absolute value: |-a| = a, a>0
= 4/24 × 100
= 16.67 %
≈ 17% (whole percent)
Thus, her percent error was: ≈ 17% (whole percent)
A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attracting much attention from the many visitors to the city of Paris. A tourist is standing at ground level, 54 meters across from the Eiffel Square, aiming her binoculars at the nest. At what angle should she set her binoculars in order to see the next? Round your answer to the nearest tenth of a degree.
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
Line a passed through points (-2,1) and (2,9). Which is parallel to line a?
Answer:
D
Step-by-step explanation:
Line A's slope: 9-1/2+2 = 8/4 = 2
y = 2x+b
y = 2x-5
If the slope of 2 lines are equal, then the lines are parallel.
6th grade math !!!!!!!!!!!!!!!!
Answer:
4th one
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
How are angle 4 and angle 5 related?
Answer:
C supplementary angles
Step-by-step explanation:
Reason: They Both Add Up To 180 Degrees
The price of a notebook was $3.60 yesterday. Today, the price fell to $3.10. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
13.9%
Step-by-step explanation:
First, we find the amount of decrease.
$3.60 - $3.10 = $0.50
The price decreased $0.50.
Now we find what percent $0.50 is of $3.60.
percent = part/whole * 100%
percent = $0.50/$3.60 * 100%
percent = 0.13888 * 100% = 13.9%
Answer: 13.9%
A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 24 feet? *
48 minutes
12 minutes
1 hour
16 minus
The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm
Answer: 6 cm is 45 km
5 cm is 7.5 km
Step-by-step explanation:
**IF ANYONE IS AN EXPERT IN MATH PLEASE HELP.**
i’ve figured out the answer to this problem but i have to check which i dont know how. Could anyone please help me on this? how do you check your answer?
To check you're answer just fill in 18.7 for h in the original problem.
Can someone please help me out
!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?
Answer:
(3x^2+6x)/(x^2-16)
Step-by-step explanation:
When multiplying fractions you just go straight accross
this means that our fraction is equal to
((x+2)(3x))/((x-4)(x+4))
The numerator is quite easy 3x(x+2)=3x^2+6x
The second one is a little tough at first and if you need help I would reccomend using khan academy
but pretty much you get x^2-16
put them together and get your answer
f(x)= (x-1)(x(x+1)+2x) find all rational zeros
Answer:
x = 0, x = 1, x = - 3
Step-by-step explanation:
To find the zeros, let f(x) = 0 , that is
(x - 1)(x(x + 1) + 2x) = 0 ← distribute and simplify parenthesis
(x - 1)(x² + x + 2x) = 0
(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis
x(x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 1 = 0 ⇒ x = 1
x + 3 = 0 ⇒ x = - 3
Someone plz help me this is urgent!
Answer:
5^12
Step-by-step explanation:
When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.
Answer:
1250
Step-by-step explanation:
5 times 5 times 5
Given the circumference of a circle is 8π centimeters, calculate the area of the circle in terms of π.
Answer:
16π cm²
Step-by-step explanation:
circumference = 2πr
Area = πr²
We need to determine r to calculate the area
2πr = 8π
Divide both sides of the equation by 2π to find r
r = 4
Now, we determine area.
area = πr² = π4² = 16πcm²
Answer:
[tex]\Large\boxed{\sf{16\pi\text{cm}^2}}[/tex]Step-by-step explanation:
The formula for the circumference of a circle can be used to solve this problem.
[tex]\underline{\text{CIRCLE OF A CIRCUMFERENCE FORMULA:}}[/tex]
[tex]:\Longrightarrow: \sf{C=2\pi r}[/tex]
[tex]\text{AREA:}= \sf{\pi r^2}[/tex]
[tex]\sf{2\pi r=8 \pi}[/tex]
You have to divide by 2 from both sides.
[tex]\sf{\dfrac{2\pi r }{2}=\dfrac{8\pi}{2} }[/tex]
Solve.
Divde the numbers from left to right.
8/2=4
r=4
[tex]\sf{\pi r^2=\pi4^2}[/tex]
Solve by exponents.
[tex]\sf{4^2=4*4=\boxed{\sf{16}}[/tex]
[tex]\Longrightarrow: \boxed{\sf{16\pi \text{cm}^2}}[/tex]
Therefore, the correct answer is 16πcm².I hope this helps. Let me know if you have any questions.
b The value of 3 in 38.65 is 3 tens.true or false
yes that is true
hope that helped
