The distance from the top of the tree of height 30 tall to the end of the shadow is 50.
What is distance?Distance is the length between two point.
To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.
Note: The tree and the shadow form a right angle.
Formula:
a = √(b²+c²)................. Equation 1Where:
a = Distance of from the top of the tree to the end of the shadowb = Height of the treec = Length of the shadowFrom the question,
Given:
b = 30 c = 40Susbtitute these values into equation 1
a = √(30²+40²)a = √(900+1600)a = √2500a = 50Hence, the distance from the top of the tree to the end of the shadow is 50.
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alex, beverly and carl live on the same straight road. alex lives 12 miles from beverly and carl 4 mies from berve,y, how far does alex live from carl?
A family buys a studio apartment for $140,000 They pay a down payment of $35,000
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
a. Their down payment is 25% of the purchase price.
Calculation:
Down payment ÷ Purchase price = Percentage
$35,000 ÷ $140,000 = 0.25 = 25%
b. A $7,000 down payment would be 5% of the purchase price.
Calculation:
Down payment ÷ Purchase price = Percentage
$7,000 ÷ $140,000 = 0.05 = 5%
Which set of angle measures can be used to construct an acute scalene triangle?
Answer:
C = 36°, 57°, 87°
Step-by-step explanation:
scalene = all angles are different.
acute = all angles are under 90°.
triangle = all angles add up to 180°.
The only option that works for this is C) 36°, 57°, 87°
I need help solving this problem :) please help
Answer:
25
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
how to work out the area of a parallelogram
the base timed by the height
If there are estimated to be 10 ^ 11 galaxies in the known universe and 10 ^ 11 stars in each galaxy, how many stars are estimated to be in the universe?
Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:
number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)
This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11
10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22
So, there are estimated to be 10 ^ 22 stars in the known universe.
Step-by-step explanation:
Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint. How many gallons of white paint does she need if she already bought 14 gallons of brown paint?
A. 10 gallons. B. 19.6 gallons
C. 16 gallons. D. 25 gallons
Answer:
19.6
Step-by-step explanation:
The ratio of brown paint to white paint is, 5:7 or [tex]\frac{5}{7}[/tex] so if he bought 14 gallons of white paint we need to figure out:
[tex]\frac{5}{7} =\frac{14}{x}[/tex]
which we can as it only has one unknown:
5x=14×7
5x=98
x=19.6
So the answer is 19.6
Answer:
B. 19.6 gallons
Step-by-step explanation:
5 Gallons of Brown ⇒ 7 Gallons of White
14 Gallons of Brown ⇒ x
x = 7 into 14 / 5
x = 98 / 5
x = 19.6
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A rectangular playground area is 3,162 meters. The width is 51 meters. Find the length?
Work Shown:
area = length*width
length = area/width
length = 3162/51
length = 62 meters
two equivalent ratios for 17:5?
Answer:
34/10 is equivalent to 17/5 because 17 x 2 = 34 and 5 x 2 = 1051/15 is equivalent to 17/5 because 17 x 3 = 51 and 5 x 3 = 1568/20 is equivalent to 17/5 because 17 x 3 = 68 and 5 x 3 = 20
Step-by-step explanation:
hii, how are you
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the oak tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:
Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.
Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).
Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.
Use the quadratic formula to solve for x:
x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))
= (-1/2) +/- sqrt(5/8)
= (-1/2) +/- sqrt(40/64)
= (-1/2) +/- sqrt(10/16)
= (-1/2) +/- (5/8)
= -1 +/- 5/8
= -1 + 5/8 or -1 - 5/8
= -7/8 or 1/8
Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.
Step-by-step explanation:
Solve: -7(3x - 7) + 21x > 50
Answer: Option 2
Step-by-step explanation:
[tex]-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50[/tex]
This is false, so there are no solutions.
Billy ran 3 miles on his first day of training. The next day he ran 2/3 that distance. How far did he run the second day?
What is the growth factor of the following example? Assume time is measured in the units given.
A city grows by 28% per decade
a. 0.28 per decade c. 128 per decade
b. 28 per decade d. 1.28 per decade
Please select the best answer from the choices provided
Answer:
D. 1.28 per decade
Step-by-step explanation:
I calculated it logically
solve the following 4x-3=2x+7
Answer: x=5 (simplified)
Answer:
4x-3=2x+7
4x-2x=7+3
2x=10
2x/2x=10/2
x=5
Jamie and Hanna are 288 miles apart, traveling towards each other. If Hanna travels 22 mph and Jamie travels 14 mph how long until they meet?
Answer:
It will take them 8 hours to meet
Step-by-step explanation:
If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...
22 + 14 = 36 mph
Now divide the distance between them by the speed with which they get closer to each other, and get...
288 miles / 36 mph = 8h
a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter what is the area of the board that can be seen
Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².
In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.
Refer to the attachment for step by step solution. :)
The area of the board that can be seen is 11.44 decimeter square.
What is the area of the board that can be seen?The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.
Area of a circle = πr²
Where :
π = pi = 3.14R = radius = diameter = 4/2 = 23.14 x 2² = 12.56 d²
Area of the rectangle = length x width
6 x 4 = 24
Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square
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Find the area. The figure is not to scale
Answer:
5.4 cm^2
Step-by-step explanation:
Given,
Height ( h ) = 2 cm
Base ( b ) = 5.4 cm
To find : Area ( triangle ) = ?
Formula : -
Area ( triangle ) = bh / 2
Area ( triangle )
= 5.4 x 2 / 2
= 5.4 cm^2
Math homework please help look at picture!!
Answer:
a = 327 m²
Step-by-step explanation:
Area of bed
r = 22/2 = 11
a = 3.14(11²)
a = 379.94
Area of bed and sidewalk
r = 11 + 4 = 15
a = 3.14(15²)
a = 706.5
Area of sidewalk
a = 706.5 - 379.94
a = 327 m² (rounded to whole number
6p – 9 = 9; then p=?
Answer:
p = 3
Step-by-step explanation:
please help fast for my math project and its due today !!!!!!! fasttttb pleaseeee
1) Note that in the problem above, the complete table is given as:
Team Number: 1 2 3 4 5
Best Jump (ft) 20.6 21.5 20.9 19.4 20.2
2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.
3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.
Why are the Domain and Range Important?Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.
The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.
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find the volume of a cake with radius of 8 and height of 5
HELP! aaa 5,6,7,8 bonus
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
More about the function link is given below.
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Nika rolls an 8-sided cube with faces numbered 1 through 8. Which of the following statements is true?
P(even number) = ⅛
P(odd number) = ½
P(number less than 8) = 1
P(the number 9) = 1
Answer: Statement 2 (P(odd number) = 1/2) is true
Step-by-step explanation:
Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]
Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]
Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]
Statement 4: there is no 9 on an 8 sided cube. [FALSE]
A six pack of soda costs $3.00. What is the price per can?
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Answer:
price per can is 0.5
Step-by-step explanation:
Determine whether the scenario involves independent or dependent events.
A bag contains six red marbles and five blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue
PLEASE HELP IMMEDIATELY!!
Answer:
B
Step-by-step explanation:
45-45-90
find hypotenuse: leg × root 2
[tex]8 \times \sqrt{2} [/tex]