Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
Answer:
14.32 is ur awnser
Step-by-step explanation:
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answer:
x=48
Step-by-step explanation:
х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20
Answer:C 3/5
Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math
hello please help i’ll give brainliest
Answer:
Option B) His teachings became government philosophy.
Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.
Answer:
7.96 x 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].
[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].
[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].
[tex]= \frac{80 - 4}{10000}[/tex].
[tex]= \frac{76}{10000}[/tex].
[tex]= \frac{38}{5000}[/tex].
learn more about numerical expressions here :
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The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches
Answer:
153.86
Step-by-step explanation:
3.14 x (7x7) = 153.86
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Please help it’s geometry will mark brainliest!
Answer:
its 216
Step-by-step explanation:
when it's one the edge the arc is double the angle
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
What is the LCM of 4 and 8
Answer:
8
Step-by-step explanation:
Let me make a table for you.
4,8,
8,
8 would be your answer.
Let me know if i can help you more!
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
Learn more about number line here:
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What is the total area of the figure below?
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answer:
........................
This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs
Answer:
9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs
Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.
12 * 4/5 = 9.6 ounces
10 * 4/5 = 8 ounces
15 * 4/5 = 12 ounces
5 * 4/5 = 4 eggs
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
i need help plz :( i don’t understand
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.
Answer:
4212 square feet.
Step-by-step explanation:
If the blueprint's scale is 1 inch : 9 feet.
Square both sides
(1in)² = (9ft)²
1in² = 81ft²
Given the gym's area as 52 square inches, hence;
52in² = x
Divide both expressions
1/52 = 81/x
x = 52 * 81
x = 4212ft²
Hence the area of the actual gym is 4212 square feet.
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!