Answer:
70 feet
Step-by-step explanation:
This problem can be answered by using proportions based on similar triangles.
Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)
The same runs for the tree and its shadow.
Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.
We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)
[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. The THEORETICAL probability of the coin landing heads up is ___%.
HELPPPPPPPPP
Answer:
50
Step-by-step explanation:
Theoretically, there's a 50/50 chance of each happening, no matter how many times it's flipped.
Choose EVERY true proportion.
BC
BD
ВС
BD
O AC
ВС
Answer:
a,b
Step-by-step explanation:
what is the volume of the cone below:
5 cm
12 cm
13 cm
Answer:
780cm cubed
Step-by-step explanation:
if we want to find the volume we would do length x width x heightwhich would be 5 x 12 x 13so we would do 5 x 12 which is 60 then we would do 60 x 13 which equals 780So the answer is 780Since this is volume it would be 780cm cubedFind the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
Answer:
the third side should be greater than 6 - 4.5 = 1.5 and should be smaller than 6 + 4.5 = 10.5.
Step-by-step explanation:
find the value of
a) 8^1/3
b) 8^2/3
c) 16^3/4
Step-by-step explanation:
a. 8^1/3
=2^3*1/3
=2 Answer.
b. 8^2/3
=2^3*2/3
=2^2
=4 ans
c. 16^3/4
= 2^4*3/4
= 2^3
= 8 ans
Which system of equations can be graphed to find the soultion(s) to x^2=2x+3
Answer:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
Step-by-step explanation:
The system would be:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)
Which of the following is typically not insured under property insurance ? A. Furniture B. Jewelry C. Electronics D. Pets
The answer is most likely pests (D)
Pets are typically not insured under property insurance.
Option D is the correct answer.
What is property insurance?Property insurance is a type of insurance policy that provides financial protection against damage or loss to physical property, such as a home, business, or personal belongings.
It typically covers a wide range of perils, including fire, theft, natural disasters, and vandalism, depending on the specific policy and coverage limits.
We have,
Pets are typically not insured under property insurance.
While property insurance policies may cover damage or loss of personal property, such as furniture, jewelry, and electronics, they generally do not provide coverage for pets.
Pet insurance policies are available as a separate type of insurance to cover the cost of veterinary care and other expenses related to owning a pet.
Thus,
Pets are typically not insured under property insurance.
Learn more about property insurance here:
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2cosx-square root of 3?
Answer:
1.73
Step-by-step explanation:
Indicate whether the sentence or statement is true or false. Operations within parentheses should be completed before other operations.
Answer:
True
Step-by-step explanation:
3
Select the correct answer.
What is a benefit of health insurance?
O A.
It covers outpatient surgery expenses for your family and friends.
OB.
It guarantees a certain sum of money to your family after your death.
OC.
It ensures that you get paid despite being absent from work because of poor health.
OD
It reduces the cost of your health services and treatments.
Reset
Next
Answer:
D: It reduces the cost of your health services and treatments.
Step-by-step explanation:
Len made 1 1/3 liters of punch. He added 2/5 liters of water to make the punch. How much water was used for each liter of punch?
Answer:
3/10 liter
Step-by-step explanation:
Assuming your description means that 4/3 liters of punch includes 2/5 liters of water, then the fraction of punch that is water is ...
(2/5)/(4/3) = (2/5)(3/4) = 3/10
3/10 of a liter of water is used in each liter of punch.
Harvey bought a. Frame in which he put his family picture in what is the area of the frame not covered by the picture
Answer:
Area of the frame not covered with photo is equal to 129 square inches
Step-by-step explanation:
Given: Image of a frame
To find: Area of the frame not covered by the picture
Solution:
Area of rectangle = length of the rectangle × breadth of rectangle
Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches
Area of the frame covered with photo = 18 × 12 = 216 square inches
Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches
Find the total amount of money John has after 6 months
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Interest earned is $ 8.75
Total amount of money earned=708.75
Please see the attached picture for full solution
Hope it helps..
Good luck on your assignment
15 pigs are entered in the "Best Pig" competition at the county fair. The
judges will award very special pigs with blue, red, and white ribbons. In how
many different ways can these ribbons be awarded to 3 of the 15 pigs?
A. 455
B. 3375
C. 45
D. 2730
Answer:
D.2730
Step-by-step explanation:
15x14x13=2730
From a point 35 meters from the base of a building, the angle of elevation of the top of the building is 65. How tall is the building, to the nearest meter? Show steps.
Answer:
75.06 m
Step-by-step explanation:
Look at the picture*
(a) Find a simplified form of the difference quotient and (b) complete the following table.
f(x) = - 4x + 7
Answer:
a) -4
b)
x h [f(x+h) - f(x)] / h
3 2 -4
3 1 -4
3 0.1 -4
3 0.01 -4
Step-by-step explanation:
a) The difference quotient is:
[f(x+h) - f(x)] / h
Our function is -4x + 7, then:
f(x+h) = -4(x+h) + 7 = -4x -4h + 7
f(x) = -4x + 7
f(x+h) - f(x) = -4x -4h + 7 - (-4x + 7 )= -4x -4h + 7 +4x - 7 = -4h
Finally:
[f(x+h) - f(x)] / h = -4h/h = -4
b)
First point in the table:
x = 3
h = 2
f(x+h) = -4(3+2) + 7 = -13
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -13 -(-5) = -8
[f(x+h) - f(x)] / h = -8 / 2 = -4
Second point in the table:
x = 3
h = 1
f(x+h) = -4(3+1) + 7 = -9
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -9 -(-5) = -4
[f(x+h) - f(x)] / h = -4 / 1 = -4
Third point in the table:
x = 3
h = 0.1
f(x+h) = -4(3+0.1) + 7 = -5.4
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.4 -(-5) = -0.4
[f(x+h) - f(x)] / h = -0.4 / 0.1 = -4
Fourth point in the table:
x = 3
h = 0.01
f(x+h) = -4(3+0.01) + 7 = -5.04
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.04 -(-5) = -0.04
[f(x+h) - f(x)] / h = -0.04 / 0.01 = -4
What are the solutions to the quadratic equation 2x^2+x=3
Answer:
2x^2+x=3
Step-by-step explanation:
2x^2-2x+3x-3=0
2x(x-1)+3(x-1)=0
(2x+3)(x-1)=0
x=-3/2
x=1
HELPPPPPPPPP
jonah earned $5 more than half of karen’s salary, k. which of the following expressions represents jonahs earnings.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
Answer:
one halfk + 5
Step-by-step explanation:
The expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
A linear equation can be defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jonah earned $5 more than half of Karen's salary, k
Let Jonah's salary is J
J = 5 + (1/2)k
Or
= (1/2)k + 5
The above expression represents Jonah's earnings and the expression is a linear expression.
Thus, the expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
Learn more about the expression here:
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f h(x) = 2x + 1, find h(2x-3).
Answer:
h(2x - 3) = 4x - 5
Step-by-step explanation:
If h(x) = 2x + 1
h(2x - 3) = 2(2x - 3) + 1 = 4x - 5
if a 10-pound turkey cost $20.42 how much does a 21-pound turkey cost
First divide $20.42 by 10 to find the cost of 1 pound/16 ounce turkey.
Dividing, this gives us 2.042.
Now, to find the cost of a 21-pound turkey, we multiply
the cost of 1 turkey by 21 to get 42.882.
So a 21-pound turkey is $42.882.
subtract- a(b-5) from b(5-a)
Answer:
5b - 5a
Step-by-step explanation:
b(5 - a) = 5b - ab
- a(b - 5) = - ab + 5a
Subtracting gives
5b - ab - (- ab + 5a) ← distribute parenthesis by - 1
= 5b - ab + ab - 5a ← collect like terms
= 5b - 5a
Which point on the graph represents the y-intercept? On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0). V W Y Z
Answer:
W
Step-by-step explanation:
It is point W because W is where the line crosses the y-axis.
what does the solution of an inequality look like?
Answer:
x=7
x<7
Step-by-step explanation:
Which expression has twice the value of 2 times 2 times 2 times 2 times 2?
Answer:
There is no choices
Step-by-step explanation:
2x2x2x2x2 or 2 to the 5th power is 32
Whichever expression equals twice of 32, or 64 is the correct answer
Answer:2^6
Step-by-step explanation:
2 x 2 x 2 x 2 x 2 = 32
Twice the value of 2 x 2 x 2 x 2 x 2 i.e. 32 = 32×2
= 2^6
2 ^6
Find the exact value of tan (-1740)°
Answer:
square root of 3
Step-by-step explanation:
Use calculator
An angle is bisected, forming two new angles. If the original angle had a measure of 14 degrees, what is the measure of each new angle?
Hello I think the answer would be 7
An angle bisector, bisects an angle into two equal small angles
14 divided by 2 is 7
Hope this helps :)
The measure of each new angle will be 7°.
Since we are given the information that the original angle had a measure of 14 degrees, then when the angle is bisected, forming two new angles, we have to divide the original angle by 2. This will be:
= 14°/2
= 7°
Therefore, the measure of each new angle will be 7°.
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f(x) =x² + 5x- 1 is shifted 3 units right. The result is g(x). What is (gx)?
Answer:
see below
Step-by-step explanation:
Shifting f(x) to the right 3 units is accomplished by replacing x with x-3:
g(x) = f(x-3)
g(x) = (x -3)^2 +5(x -3) -1 . . . . matches choice D
BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 6. Find the number.
Answer: -26
Step-by-step explanation:
2(n - 4)= 3(n + 6)
2n -8 = 3n + 18
+8 +8
2n = 3n + 26
-3 -3
-1n = 26
n= -26
The function f is defined by f(x) = 2x²-1.
Find f (2x).
Answer: [tex]f(2x)=8x^2-1[/tex]
Step-by-step explanation:
All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.
[tex]f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\[/tex]
The avenues in a particular city run north to south and are numbered
consecutively with 1st Avenue at the western border of the city. The streets in
the city run east to west and are numbered consecutively with 1st Street at
the southern border of the city. For a festival, the city is not allowing cars to
park in a rectangular region bordered by 3rd Avenue to the west, 5th Avenue
to the east, 4th Street to the south, and 8th Street to the north. If x is the
avenue number and yis the street number, which of the following systems
describes the region in which cars are not allowed to park?
The inequality equations are given as |x - 4| ≤ 1 and |y - 6| ≤ 2, then the correct option is B.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
From the diagram, the inequalities equation will be given as
For x, we have
[tex]\begin{aligned} 3 &\geq \ \ \ \ x&\geq 5\\-1 &\geq x-4&\geq 1\end{aligned}[/tex]
Then after the mode function, we have
[tex]|x-4|\leq 1[/tex]
Similarly, for y, we have
[tex]\begin{aligned} 4 &\geq \ \ \ \ y&\geq 8\\-2&\geq y-6&\geq 2\end{aligned}[/tex]
Then after the mode function, we have
[tex]|y-6|\leq 2[/tex]
More about the inequality link is given below.
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