Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
Answer:
49 hot dogs, 77 sodas
Step-by-step explanation:
2.25h + 1.5s = 225.75
h + s = 126, so s = 126 - h. Substitute that into the first equation.
2.25h + 1.5(126 - h) = 225.75
Solve for h
2.25h + 189 - 1.5h = 225.75
0.75h = 36.75
h = 49 So they sold 49 hot dogs
h + s = 126, so 49 + s = 126, s = 77
Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...
Answer:
Step-by-step explanation:
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
The final answer is 9 percent
Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
Farhad George and Tom each did a test here are the marks for the test George drew this bar chart to show the mask they got the butcher is not fully correct write-down two things that are wrong with George bar chart
Answer:
where is the bar chart can u post an image to help
A pizza restaurant had 1/3 of a gallon of pizza sauce left at the end of the evening and divided it equally among 3 pizzas. How much sauce did they put on each pizza? D) Write your answer as a fraction or as a whole or mixed number. gallons Submit Work it out
Answer:
1/9 of a gallon of sauce
Step-by-step explanation:
You would have to divide the fraction (1/3) by the number of pizzas (3)
but…
you can’t DIVIDE fractions, so you have to use the “keep-change-flip“ method
1/3 ÷ 3
keep 1/3
change ÷ into ×
and flip 3 into 1/3 (because technically 3 is 3/1)
1/3×1/3= 1/9
hope this helped!
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
A rental car company charges $33.73 per day to rent a car and $0.06 for every mile
driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 450 miles.
• She has at most $430 to spend.
•
Which inequality can be used to determine x, the maximum number of days
Elizabeth can afford to rent for while staying within her budget?
Answer:
430 > 33.73x + 27 ----> x < 11
Step-by-step explanation:
The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.
Answer:
Step-by-step explanation:
33.73x + 27 <= 430
0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.
Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.
Can someone please help me!!?
Answer:
Step-by-step explanation:
Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.
can someone help me learn transforming linear functions? i need to know how to move the linear equation up or down on the y axis, and increase and decrease the slope. please be a virtuso or higher.
I'll make the person that helps me through it brainliest and answering and helping is worth 35 pts.
Answer:
Step-by-step explanation:
Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
Where m is the slope and b is the y-intercept.
can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Answer:
Step-by-step explanation:
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3
Answer:
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)
Answer:
$0.24
Step-by-step explanation:
the working out would look something like this:
ounces dollars
12 : 2.88
duvide both by 12 to find 1 ounce
1 : 0.24
the price per ounce would be $0.24
hopefully this helps :)
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
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How do you solve this??
Answer:
what
Step-by-step explanation:
which questions you are telling there is no question to answer you!!
You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is
Answer:
1/4
Step-by-step explanation:
Can you help me, please?
Answer:
listen picture is not clear
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Anna and Hannah are reading the same book. At the beginning of the month, Anna was on page 29 and Hannah was on page 7. Anna will read 9 pages per day and Hannah will read 11 pages per day. Let
A
A represent the page of the book that Anna is on at the end of
t
t days into the month, and let
H
H represent the page of the book that Hannah is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine whether Anna or Hannah is farther along in the book after 14 days.
Answer:
Hannah
Step-by-step explanation:
Anna: Page 29 + number of pages read t days into the month
number of pages read t days in the month = 9 t times = 9 * t
Anna: 29 + 9t
Hannah: 7 + 11t using the same logic
14 days in: t = 14
Anna: 29 + 9*14 = 155
Hannah: 7 + 11 * 14 = 161
Hannah is further along
The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.
How to Apply Algebraic Equation?The equation we would write for each situation in terms of t are explained below:
For Anna:
A = 29 + 9t
For Hannah:
H = 7 + 11t
After 14 days:
For Anna: A = 29 + 9 * 14 = 29 + 126 = 155
For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161
After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.
Learn more about Algebraic Equation on:
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Simplify to find the answer
[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]
Form a number with: 3 in the tens place, 4 in the thousands place, 6 in the ones place, 9 in the hundreds place, and 5 in the ten thousands place.
Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?
How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0
Answer:
4 complex rootsStep-by-step explanation:
The easiest way is to use a graphing tool and solve it graphically.
We did it with Desmos and it shows 3 real roots, see below.
The polynomial is of degree 7, hence it should have 7 roots.
Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots
Answer:
4 complex roots
Step-by-step explanation:
Which of the expressions is equivalent to the expression 4 left parenthesis x plus 5 right parenthesis plus 3? (1 point) 4 times x times 4 times 5 plus 3 4 times x plus 4 times 5 plus 3 4 times x times 3 plus 4 times 5 plus 3 4 plus x plus 4 plus 5 plus 3
Answer:
4(x+5)+3 = 4x+23
Step-by-step explanation:
second option: 4(x)+4(5)+3 = 4x + 20 + 3 or 4x + 23
The point S(0,–2) is translated 4 units left. What are the coordinates of the resulting point, S'?
S(0,-2)
Translated 4 units left means y coordinate is kept constant.x coordinate is decreased by 4i.e
[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]
New co-ordinates are
(-4,-2)Find the degree of the monomial. -20.5
Answer:
0
Step-by-step explanation:
-20.5 is the same as -20.5[tex]x^{0}[/tex], since anything to the zero power is equal to 1.
Answer:
The degree of a monomial is the sum of the exponents of the variables.
Therefore,
The degree of the monomial - 20.5 is 0, because there is no variables only numeric terms.
Step-by-step explanation:
To find the degree of monomial.
Basically,
- If one term is present, then it is monomial.
- If two term is present, then it is binomial.
- If three term is present, then it is trinomial.
- If more than three term is present, then it is polynomial.
find the value of x from the following figure
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°