Answer:
17 feet
Step-by-step explanation:
I used the Pythagorean theorem to answer this question.
a^2 + b^2 = c^2
15^2 + 8^2 = c^2
225 + 64 = c^2
289=c^2
c^2=289
c=√289
c=17 feet
The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A 15 feet tree casts a shadow that is 8 feet long.
Now,
Since, A 15 feet tree casts a shadow that is 8 feet long.
Hence, The length of the tip of the tree to the tip of it's shadow = x feet
So, We get by using the Pythagoras theorem;
⇒ x² = 15² + 8²
⇒ x² = 225 + 64
⇒ x² = 289
⇒ x = √289
⇒ x = 17
Thus, The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
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Write the contrapositive statement of the following:
If it is not Thursday, then I did not have salad for lunch.
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
Which models can be used to solve the problem?This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
$149.60 that's what he will have left
HELP ASAP PLEASE WILL MARK AS BRAINLIEST :)
The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A.35 centimeters
B.65 centimeters
C.9.2 centimeters
D.42.5 centimeters
Answer:
B. 65 centimeters
Hope this helps :)
Choose the correct simplification of x7/y9 2
Answer:
First choice :
[tex] \frac{ {x}^{14} }{ {y}^{18} } [/tex]
Hope this helps...
Evaluate 14 - (2x - y), when x = 3 and y = 2.
Answer:
-7
Step-by-step explanation:
Plug in your x and y values and use the information
The value of the expression 14 - (2x - y) when x = 3 and y = 2 is 10.
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, 14 - (2x - y) to obtain the value of the expression when x = 3 and y = 2 we'll imply replace the numerical values of x and y which is,
= 14 - (2(3) - 2).
= 14 - 6 + 2.
= 10
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f(1) = 4
f(2) = 25
f(n) = f(n - 2). S (n - 1)
f(3) =
Answer:
[tex]f(3) = f(3 - 2) \times f(3 - 1)[/tex]
[tex]f(3) = f(1) \times f(2)[/tex]
[tex]f(3) = 4 \times 25[/tex]
[tex]4 \times 25 = 100[/tex]
12 is the measure of the value of f(3).
Sequences and seriesBased on the given information, we have f(1) = 4 and f(2) = 25.
To determine the value of f(3), we will use the recursive formula
f(n) = f(n - 2) * S(n - 1), where:
S represents the successor function.
Determine f(3):
f(3) = f(3 - 2) * S(3 - 1)
f(3) = f(1) * S(2)
f(3) = 4 * 3
f(3) = 12
Therefore, the value of f(3) from the sequence is 12.
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A container is in the shape of the rectangular prism shown. Stan measures the length of PS as 12 feet, the length of SR as 9 feet, and the length of RV as 8 feet. Stan needs to calculate the distance from point P to point V
Answer:
The distance from point P to point V = 17 ft.
Step-by-step explanation:
A rectangular prism is simply a cuboid,
The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)
From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.
With PR as the hypotenuse side, using Pythagoras theorem,
(PR)² = (PS)² + (PR)²
(PR)² = 12² + 9² = 144 + 81 = 225
PR = √225
PR = 15 ft.
On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,
(PV)² = (PR)² + (RV)²
(PV)² = 15² + 8² = 225 + 64 = 289
PV = √289
PV = 17 ft.
Hope this Helps!!!
Amy had to solve 26 problems. After 3.6 hours, she had 8 problems left to solve. If she solved the same number of problems each hour, how many more hours does she need to work in order to complete the remaining problems?
26-8 = 18
She answered 18 questions in 3.6 hours.
18 problems/ 3.6 hours = 5 problems per hour.
8 problems / 5 problems per hour = 1.6 hours more are needed.
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answer:
1. y = -3x + 5
2. y = 1/4x - 2
Step-by-step explanation:
y=mx+b
1. 5 = -3(0) + b, so b = 5
y = -3x + 5
2. (-2-(-1))/(0-4) = -1/-4 = 1/4
-2 = 1/4(0) + b, so b = -2
y = 1/4x - 2
Answer: -3x+5
1/4x - 2
Step-by-step explanation:
-30=5(x+1) what does x represent
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
-30=5x+5
-30-5=5x
-35=5x
5 5
María ha comprado un frasco de colonia que costaba 23 € y tres pares de medias. Le ha dado a la dependienta los 52 € que llevaba y ha dejado a deber 13 €. ¿Cuánto cuesta un par de medias en esa tienda?
Answer:
the price of the socks is 22€
Step-by-step explanation:
To find the value of a pair of socks you first write an algebraic expression for the situation of the problem.
Maria has 52€, she spent 23€ and also she spent in buying the three pairs of socks. You can chose x as the price of one pair of socks, then, Maria spent 3x. In the end Maria is owd 23€.
If you subtract 23€ and 3x to 52€ you obtain a negative value of -13€ . That is:
53 - 3x = -13 (1)
From the last equation you obtain x:
- 3x = - 13 - 53
-3x = - 66
x = (66/3) = 22
hence, the price of the socks is 22€
7. Barry is hosting a Super Bowl party and offers 7 different kinds of chip dip. If a party goer can choose any number of chip dips for their chips, how many chip dip combinations are possible?
Answer:
The number of possible chip dip combinations = 5040
Step-by-step explanation:
There are 7 different kinds of chip dip available
The number of chip dip combinations available = 7! combinations
n! = n*(n-1)*(n-2)*........*1
7! = 7 * 6 * 5 * 4* 3 * 2* 1 = 5040
The number of possible chip dip combinations = 5040
how much interest is earned on $1470 at 4% for six months
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
Find the area of the figure
A. 139.5 cm squared
B. 144.5 cm squared
C. 47.0 cm squared
D. 172.0 cm squared
Answer:
B 144.5
Step-by-step explanation:
split the shape into two, the rectangle and triangle
area of rectangle is B*H, do 13*9, which is 117, then area of a triangle, 1/2 BH, so (5*11)/2, which is 27.5 then add 27.5+117 to get 144.5
A new automobile is purchased for $20,000. If V = 2,000(0.8) x , gives the car's value after x years, about how long will it take for the car to be worth $820?
Answer:
It will take 4 years
Step-by-step explanation:
Here, given the exponential equation that approximates the cost of a car after a certain amount of time, we are tasked with calculating the amount of time it will take to be worth a certain amount.
The exponential equation that approximates the cost of the car is given as;
V = 2,000(0.8)^x
Now, our V = 820 but we want to calculate x which gives the number of years. Substituting this value of V, we get;
820 = 2000(0.8)^x
divide through by 2000
0.41 = 0.8^x
Take the log of both sides
log 0.41 = log 0.8^x
log 0.41 = xlog 0.8
x = log 0.41/log 0.8
x = 3.99 which is approximately 4 years
PLEASE HELP WILL MARK BRAINLIEST
Translate this phrase into an algebraic expression. 59 decreased by twice Jose's savings Use the variable to represent Jose's savings.
Answer:
Let [tex]x[/tex] = Jose's savings
[tex]59-2x[/tex]
I hope I helped you friend! If I am correct, please mark me brainiest. Thanks!
what is 24 + p = 54?
what is w − 16 = 28?
what is 18 = t + 2?
Answer:
P=30
W=12
T=16
Step-by-step explanation:
If the area of a square is 16 square feet, how long are the sides?
Answer:
4 square feet each.
Step-by-step explanation:
A square is 4 times 4 so if you divide 16 divided by 4 it is 4.
Answer:
The sides are going to 4 square feet long.
Step-by-step explanation:
This is true because since a square has equal length sides. And there are 4 sides. So divided 4 by 16 to get 4. So, the answer is 4 square feet long.
Mark brainliest if ya don't mind!
What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y
Answer:
a. 9x^4
b. 3 x^5y
Step-by-step explanation:
a. 5x^4 + 4x^4
Combine like terms
9x^4
b. 12x^5 y − 9x^5 y
Subtract like terms
3 x^5y
6(n + 5) = 2(n + 5) + 4(n + 5)
Are these two Equivalent
Answer:
yes, they're equivalent
Answer:
Yes ,they are equivalent.
Step-by-step explanation:
2(n + 5) + 4(n + 5) ; here since n+5 is a common factor so we can factor it out :
2(n + 5) + 4(n + 5) = (n + 5)×(2 + 4)
= (n + 5)×(6)
= 6(n + 5)
Solve x2 + 8x + 8 = 0 by completing the square. Which equation is used in the process?
HELP PLZZ Which of the following actions will always be independent events?
selecting two cards from a standard deck, one at a time
selecting two marbles from a bag, one at a time
flipping two coins, one at a time
picking two letter tiles from a hat, one at a time
Answer:
The third one i think. They are separate.
Step-by-step explanation:
Answer:
C: Flipping two coins, one at a time.
Explanation:
A, B, and D all include all different objects like Cards, Marbles, and Letter tiles. These are all items of quantity. Flipping two coins is independent because they are singular objects (that aren't inside of a bag or a hat).
How would you find the velocity of this? Please answer asap♥️
John is rolling down a 0.9km hill. It takes him 28s to make it to the bottom. What was John’s velocity?
Answer:
115.7 km/h
Step-by-step explanation:
velocity = distance/time
velocity = (0.9 km)/(28 s) = 0.032143 km/s
The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.
velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h
It rained One and one-sixteenth inches on Saturday and 0.4 inches on Sunday. Which is the most reasonable estimate for the amount of rain that fell over two days?
0.5 inches
1.5 inches
2 inches
3 inches
Answer:
0.5 Inches
Step-by-step explanation:
1/16=.0625 which is about .1 for estimating purposes
.1 on Saturday + .4 on Sunday = .5 inches of rain over the two days
Answer: 1.5 inches
Step-by-step explanation:
"The amount of rain that fell over two days" means the sum of the two amounts of rain that fell on Saturday and Sunday.
[tex]1\frac{1}{16} +0.4=1\frac{10}{160} + \frac{4}{10} = 1\frac{10}{160} + \frac{64}{160} = 1\frac{74}{160}[/tex]
This number is close to [tex]1\frac{80}{160}[/tex], which is 1.5 inches.
A ball on a pendulum moves 30 cm on its first swing. Each succeeding swing it
moves 0.5 the distance of the previous swing. What is the total distance that the
ball moves before coming to rest? Write your answer in the box.
Answer:
130cm
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the of a cubic meter?
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8
radius=
2
diameter
=
2
37.6
=18.8
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (18.8)^3
3
4
π(18.8)
3
27833.1369876
27833.1369876
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{27833.1369876}{2}
2
27833.1369876
Divide volume by 2
13916.5684938
13916.5684938
\approx 13916.6\text{ m}^3
≈13916.6 m
3
Round to the nearest tenth
The radius of a semicircle is 4 millimeters. What is the semicircle's diameter?
Answer:
8 millimeters
Step-by-step explanation:
2 x radius = Diameter
2 x 4 = Diameter
8 = Diameter
Step-by-step explanation:
Step 1: Find the diameter
[tex]diameter = radius * 2[/tex]
[tex]diameter = 4 * 2[/tex]
[tex]diameter = 8[/tex]
Answer: [tex]diameter = 8[/tex]
If Stan gathered x tomatoes everyday for 3 days, how many tomatoes did he gather
Answer:
the number of tomatoes he gathered for 3 days = 3 × x = 3x
Step-by-step explanation:
According to the question Stan gathered x number of tomatoes every single day for three days. The total number of tomatoes she gathered altogether can be calculated below.
The number of tomatoes she gathered daily = x
The number of tomatoes she gathered for 3 days will be the product of the daily number of tomatoes she gathered(x) and the number of days she gathered it(3).
Therefore,
the number of tomatoes he gathered for 3 days = 3 × x = 3x .
Or you could calculate the number of tomatoes she gathered for that 3 days by summing the number of tomatoes she had daily for that 3 days .
The firs day she gathered x number of tomatoes , the second day another x number and finally the last day another x number of tomatoes. Therefore,
x + x + x = 3x
pls pick one of the answers below
Answer:
5+4x=25
Step-by-step explanation:
You already know you bought 1 $5 magazine so that is the constant. And the question asks how many erasers you bought to equal $25. So to write the equation you know it equals 25 and the 5 is constant, if each eraser is $4 then the x goes with the 4 making it, 5+4x=25
Answer:
The answer to the far left/the Blue Answer.
Step-by-step explanation:
The reason why is because if 1 magazine was the price of $5, that would mean that the total of the erasers AND the magazine equals 25 dollars, as said in the statement. This means that when subtracting 5 dollars from 25 dollars, there are 20 dollars left. This means that if there were 4 erasers, that means that 20 dollars divided 4 erasers equals 5 dollars. This means that each eraser costs 5 dollars, making the Blue Answer/Statement true.
Melissa went to shopping and spent 2/3 of her money on a blouse, and she came home with $12. How much did she start out with?
Answer:
Melissa went to shopping and spent 2/3 of her money on a blouse, then she has 1/3 of her money left. She came home with $12.
=> The amount of money she started with: 12 x 3 =36$
Hope this helps!
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