Answer:
Height of the boy is 1.4 m and casts a shadow of 1.2 m
At the same time, a building casts a shadow of 5.4 m and suppose height of the building is x m
Then ratio of their heights and shadows are in proportion
⟹1.4x=1.25.4
⟹x=1.21.4×5.4
⟹x=6.3
Hence, height of the building is 6.3 m.
Solving an Equation with Decimals
What is the solution to the equation 13.7y = 6.2y + 30?
y = –4
y = –1.5
y = 1.5
y = 4
please help me my dudes and dudettes
Answer:
y = 4
Step-by-step explanation:
Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'?
3
4
5
16
Answer: B
Step-by-step explanation:
The scale factor of the dilation is A'C' / AC = 5/10 = 1/2.
So the length of A'B' = 8(1/2) = 4.
what is half of 9 minutes 28 seconds
Answer : 4.73333333 Minutes
Explanation: Divide
◊ YusuCr ◊
Hey there!
1 minute = 60 seconds
9 minutes = 9 × 60 = 540 seconds
9 min + 28 secs
= 540 + 28
= 568 secs
½ of 568 = 284 secs
284 secs
= 284/60
= 4 min 7333... sec
Hope it helps ya!
an angle whose measure is more than 90 but less than 180 is called an obtuse angle
Answer:
That's correct
Step-by-step explanation:
0. 3, 0. 5, 0. 9, 1. 1What are those numbers put in order?
Answer:
0,0,0,1,3,5,9 I put it in order
what are the x-intercepts of 2x+10
Answer:
-5
Step-by-step explanation:
x-intercepts occur when y = 0
⇒ 2x + 10 = 0
⇒ 2x = -10
⇒ x = -5
So the x intercept of 2x + 10 is (-5, 0)
Answer:
-5
Step-by-step explanation:
To find the x intercepts we must replace y with 0 and solve for X
So our equation is 0=2x+10
Now we must get x by itself by subtracting 10 on both sides. We subtract 10 because it is being added.
We are left with -10=2xSo now we ask ourselves, what times 2 will give us -10Well, instead of guessing we can solve :)
Divide 2 on both sides, this cancels out the two on the right and makes the -10 on the left turn into a -5.
Now we are left with x=-5
Thus, our answer is -5
Hope this helps!
#LearningIsFun
HELP!!! RST has vertices R(-3, - 1), S(0,3), and t(3,0). What type of triangle is RST?
right triangle
Equilateral triangle
scalene triangle
Isosceles
======================================================
Explanation:
Use the distance formula to calculate the distance from R to S. This is identical to the length of segment RS.
[tex]R = (x_1,y_1) = (-3,-1) \text{ and } S = (x_2, y_2) = (0,3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-0)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment RS is exactly 5 units long.
-----------------------
Repeat similar steps to find the length of segment ST
[tex]S = (x_1,y_1) = (0,3) \text{ and } T = (x_2, y_2) = (3,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (3-0)^2}\\\\d = \sqrt{(-3)^2 + (3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d \approx 4.2426\\\\[/tex]
ST is roughly 4.2426 units long.
------------------------
Lastly, let's calculate the length of segment TR.
[tex]T = (x_1,y_1) = (3,0) \text{ and } R = (x_2, y_2) = (-3,-1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-3))^2 + (0-(-1))^2}\\\\d = \sqrt{(3+3)^2 + (0+1)^2}\\\\d = \sqrt{(6)^2 + (1)^2}\\\\d = \sqrt{36 + 1}\\\\d = \sqrt{37}\\\\d \approx 6.0828\\\\[/tex]
TR is about 6.0828 units long.
------------------------
Summary of the segment lengths:
RS = 5 exactlyST = 4.2426 approximatelyTR = 6.0828 approximatelyThe three sides are different lengths.
Therefore, the triangle is scalene.
help pls and thanks
pick
Answer:
55/9
Step-by-step explanation:
5 divide 98
2 divide 72
9 divide 58
7 divide 82
19 3/5
36/16 4/911 5/7yeah..
A plane travels a distance of 16,000 km in a time of 2.5 hours.
What is its average speed rounded to the nearest whole number?
(Source: HegartyMaths clip number 716)
Answer:
Step-by-step explanation:
v (speed/velocity) = d (distance)/t (time)
v = 16000/2.5
v = 6400km/h
NEED ANSWER ASAP- MARK AS BRANLIEST
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
FormulasWhen two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
Equal AreasThe problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
Value of xx = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
you put $750 into a saving account that earns 2% simple annual interest how long will it take to have $45 in interest help asapppp
Answer:
3 years Ans
Step-by-step explanation:
Given that,
si= ptr/100
45=750t×0.02
t= 3 years Ans
Dion bought 3 pounds of oranges and 2 pounds of grapefruit. Write an expression to represent the amount of money Dion spent on the fruit. Then evaluate the expression. How much did Dion spend?
Solution:
Given:
Dion bought 3 pounds of oranges, and 2 pounds of grapefruit1 pound of oranges = o = $0.991 pound of grapefruit = g = $1.59Let's represent the number of oranges and grapefruits by the letters o and g.
This means that...
Dion purchase: 3o + 2gNow, let's solve the expression to find out how much does Dion has to pay.
Substituting o and g with the given values:
3o + 2g=> 3(0.99) + 2(1.59)=> 3(1.00 - 0.01) + 2(1.60 - 0.01)=> (3 - 0.03) + (3.20 - 0.02)=> 2.97 + 3.18=> $6.15We also know that Dion gave a $20. To find the change, subtract the money Dion gave with the money required to pay for the fruits.
=> 20 - 6.15=> $13.85Thus, Dion got $13.85 as change.
MR. Raine decided to survey the thirty students in his homeroom one morning to find out how tey were feeling at that moment. Here are his results. tired (total) 20 hungry 17 tired and hungry 8 tired and happy 5 happy and hungry all three 4 PLS 20 POINTS
Answer: 4
Step-by-step explanation:
That should be your answer
What is the value of x
Answer:
4 possibly
Step-by-step explanation:
Answer:
I think x=[tex]\sqrt[6]{1}[/tex] , possibly
Step-by-step explanation:
Marcus is comparing the costs of two cellular phone services.
The graph represents the total cost of each service depending on the number of
months.
Choose the two statements that are true about the graph.
The true statements about Marcus graph are:
The initial cost of phone service 1 is greater than the initial cost of phone service 2The unit rate of phone service 2 is greater than the unit rate of phone service 2How to determine the true statementFrom the complete question, we have the following parameters:
Phone service 1
Initial cost: $40Rate: $8.50 per servicePhone service 2
Initial cost: $30Rate: $10.50 per serviceBy comparing the above parameters:
The initial cost of phone service 1 is greater than the initial cost of phone service 2The unit rate of phone service 2 is greater than the unit rate of phone service 2The above statements represent the true statements about the Marcus' graph
Read more about graphs at:
https://brainly.com/question/14323743
∠1 and ∠2 are supplementary. ∠1=3x°∠2=(2x−25)° What is the value of x? Select from the drop down menu to correctly answer the question. X = Choose.
Answer:
x=41
Step-by-step explanation:
supplementary angles add to 180
3x + (2x-25) = 180
5x = 205
x= 41
angle1 3x41 = 123
angle 2 (2x41) -25 = 57
123 +57 = 180
What is the coefficient in the following expression: 5 + 3x + (-3) A) 5 B) 3 C) x D) -3
Answer:
B) 3
Step-by-step explanation:
If it was right please mark me brainleist.
please man
please help me
Answer:
34.65 dollars
Step-by-step explanation:
multiply the 75 by .45 to get the new price
Determine the formula, in terms of x, that best describes the area of the plot.
The area of a plot is the amount of space on the plot
The area of the plot is 2x^2 -x - 1
How to determine the areaThe dimensions of the plot are given as:
Length=2x+1
Width=x-1.
The area of the plot is the product of its dimension.
So, we have:
[tex]Area = (2x + 1)(x - 1)[/tex]
Expand
[tex]Area = 2x^2 - 2x + x - 1[/tex]
Evaluate the like terms
[tex]Area = 2x^2 -x - 1[/tex]
Hence, the area of the plot is 2x^2 -x - 1
Read more about areas at:
https://brainly.com/question/24487155
Pls Help. Just need a little help on the problem need to know how to find the answer and help getting the answer pls and thank you
The mean of 5 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 3 : 3
What’s the biggest number possible
Answer:
If 8 is the mean of 5 numbers, which are in the ratio 1:1:2:3:3, then the biggest number is 12
Step-by-step explanation:
Each day Diego's mother drives to her office in Baltimore. The driving distance from home to Baltimore, Maryland is 7 miles. On her way home, she runs some errands at the mall so her driving distance is 8 miles How many miles does his mother drive going to work and coming home for 3 days?
Select the expression that represents the problem above
a) 7 + 8 + 3
b) (7 + 3) x 8
c) (7 + 8) = 3
d) (7 + 8) X3
Answer:
D
Step-by-step explanation:
(7+8)*3
What is the center of a circle represented by the equation (x 9)2 (y−6)2=102?.
Answer:(-9,6)
Step-by-step explanation:
I got it right on the e2020 course
Hope it helps:)
Isaiah spent $19. 60 on a gift for his mother. The amount that he spent on the gift was StartFraction 5 over 7 EndFraction of the total amount that he spent at the store. Which statements can be used to find x, the total amount that Isaiah spent at the store? Select three options. StartFraction 5 over 7 EndFraction = StartFraction x over 19. 60 EndFraction
StartFraction 5 over 7 EndFraction x = 19. 60
StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) x = 19. 60 (StartFraction 7 over 5 EndFraction)
StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) = StartFraction x over 19. 60 EndFraction (StartFraction 7 over 5 EndFraction)
x = 27. 44
Answer: x=27.44
Step-by-step explanation:
i had this already and i got it correct so here is your answer for this question your answer will be x=27.44
The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 100 models the data in the table. A 2-column table with 5 rows. The first column is labeled time (seconds) with entries 0, 0. 5, 1, 2001. 5, 2. The second column is labeled height (feet) with entries 100, 96, 84, 65, 37. For which value of x would this model make the least sense to use? –2. 75 0. 25 1. 75 2. 25.
The given model would make the least sense to use for x=-2.75.
the given function is:
[tex]h(x)= -16x^2 +100[/tex]
a quadratic relationship,
where
h is the height in feet
x is the time in seconds
what is kinetic energy?Kinetic energy is a form of energy that an object or a particle has by reason of its motion.
as we know that time always appears to run forward, never backward. cannot take negative values so option 1 i.e 2.75 is not possible. Also, after a certain period of time object will vanish all its kinetic energy, resulting in h=0 but h(-2.75)= -21 which is meaningless.
h(-2.75) = [tex]-16*(-2.75)^2+100 = -21\\[/tex]
h(0.25) = [tex]-16*0.25^2 +100=99[/tex][tex]-0.25^2*16+100=99[/tex]
h(1.75) = [tex]-16*1.75^2+100=51[/tex]
h(25) = [tex]-16*2.25^2+100= 19[/tex]
therefore, x=-2.75 this model would make the least sense to use
to get more about kinetic energy refer to:
https://brainly.com/question/114210
55 less than a number n is equal to the product of 25 and -18. What is the number?
Answer:
-395
Step-by-step explanation:
n - 55 = 25 * (-18)
n - 55 = -450
so
n = -450 + 55 = -395
Answer:
n - 55 = 25 x (-18)
n - 55 = -450
+55 +55
n = -395
Problem 3: Two rectangular gardens are made from 200 yards of fencing. The
gardens are planted beside each other so they share a common fence. If the
farmer wants the total area of the gardens to be as large as possible, what
dimensions should be used to make the gardens, and what will the largest area
possible be?
The area of a shape is the amount of space on the shape
The largest possible area of the garden is 1666.67 square yards
How to determine the maximum areaRepresent the length of the gardens with y, and the widths of the whole garden with x.
So, the perimeter of the garden is:
[tex]P = 3y + 2x[/tex]
The farmer has 200 yards.
So, we have:
[tex]3y + 2x= 200[/tex]
The area of the garden is:
[tex]Area = xy[/tex]
Divide the amount of fencing equally to maximize the area.
So, we have:
[tex]3y + 2x = 100 + 100[/tex]
This gives
[tex]3y = 100 \to y = \frac{100}3[/tex]
[tex]2x = 100 \to x = 50[/tex]
Recall that:
[tex]Area = xy[/tex]
So, we have:
[tex]Area = 50 * \frac{100}3[/tex]
Evaluate the product
[tex]Area = \frac{5000}3[/tex]
[tex]Area = 1666.67[/tex]
Hence, the largest possible area of the garden is 1666.67 square yards
Read more about areas at:
https://brainly.com/question/24487155
Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown.
What is the greatest number of binders Eula can buy?
What is the greatest number of notebooks Eula can buy?
If Eula buys 7 notebooks, what is the greatest number of binders she can buy?
Answer:
20 ÷ (4x +2y) is your answer
Answer:
What is the greatest number of binders Eula can buy? Answer=5
What is the greatest number of notebooks Eula can buy? Answer=10
If Eula buys 7 notebooks, what is the greatest number of binders she can buy? Answer=1
Step-by-step explanation:
EDGE. 2022
The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation
representing the number of grams, g, after x years is §. What is the annual rate of decay?
g=18(0.5)
The annual rate of decay is r = 0.87
How to use the half-life?
We know that if a quantity has a half-life of T, then the rate of decay must be such that:
r^T = 0.5
This means that when a time T passes, the original quantity becomes half of what it originally was.
In this case we know that the half-life is T = 5 years, then we have:
r^5 = 0.5
r = 0.5^(1/5) = 0.87
Then the annual rate of decay is r = 0.87, and if the initial quantity is 18 grams, we can write the exponential decay as:
f(t) = 18g*(0.87)^t
If you want to learn more about exponential decays, you can read:
https://brainly.com/question/11464095
Answer:
13%
Step-by-step explanation:
I took the test on edge and got it right
