Answer:
[tex]3 \sqrt{11} [/tex]
Step-by-step explanation:
Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.
[tex] {a}^{2} + {b}^{2} = c {}^{2} [/tex]
where a and b are the legs and c is the hypotenuse l.
Let plug it in
[tex] {a}^{2} + 15 {}^{2} = {18}^{2} [/tex]
[tex] {a }^{2} + 225 = 324[/tex]
[tex] {a}^{2} = 99[/tex]
[tex]a = \sqrt{99} [/tex]
[tex]a = \sqrt{9 \times 11} [/tex]
[tex]a = 3 \sqrt{11} [/tex]
Jim had a collection of 24 state quarters. He poured 10 of them onto the table and noticed the years that the quarters were produced,
as shown below.
2004, 2006, 2009, 2003, 2001, 2001, 2006, 2006, 2004, 2003
Assuming that the sample was representative of the collection, what was the mode of the year that the quarters were produced?
Answer:
2006
Step-by-step explanation:
you would subrwct them
help i don’t really know how to do this
Answer:
A
Step-by-step explanation:
Please help me, to be submitted tomorrow. Pls help
Answer:
I got the answer 13
Step-by-step explanation:
To be short, I use the tangent ratio
Answer:
i got 13 but i would try to work it out yourself just incase
Step-by-step explanation:
can someone write
[tex] \frac{x}{3 \sqrt{x} } [/tex]
in index form
I don't know how to write it in index form but I can Rationalize the Denominator.
Rationalize the Denominator: [tex]\frac{\sqrt{x} }{3}[/tex]
If the graph of the function y =x^2 is translated so its vertex is now at the point (-2,3), which equations could
represent the new function? Select all that apply.
Ay= 2 (x + 2)² +
B y = (x + 2)? +3
Cy=-(x + 2)² – 3
Dy=-(x + 2)² + 3
Ey= (x - 2)² + 3
What is 1/6 of 48? I need help pls
Answer:
8Step-by-step explanation:
(1÷6)×(48)= 8
30 miles to kilometres
Answer:
48.2803
Step-by-step explanation:
Answer:
48.2803
Step-by-step explanation:
On the windowsill is a plant that is 10 inches tall. It is growing 3 inches per
week. A second plant, which is 17 inches tall, is on the coffee table. It is
growing 2 inches per week. Eventually the two plants will be the same
height. How tall will the plants be? How many weeks will that take? *
Answer:18 days
Step-by-step explanation:
Here's a short table of heights:
day 0: height = 1
day 1: height = 1 + (1/2)(1) = 3/2
day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2
The pattern of heights is ...
(day, height) = (0, 1), (1, 1.5), (2, 2)
The plant is growing 1/2 its original height each day, so we can write the equation ...
h = 1 + d/2
We want to find the number of days (d) that result in a height of 10 (ten times the original height).
10 = 1 + d/2
9 = d/2 . . . . subtract 1
18 = d . . . . . multiply by 2
It took 18 days for the plant to grow to 10 times its original height.
Answer:
it would take 9 weeks for both of the plants to equally meet the same height which is 33 inches
Step-by-step explanation:
Can i please get branelist
01:59:16
C C E
Martina rolls a fair, 6-sided number cube 10 times and records the proportion of 3s rolled. She repeats this process
of rolling the number cube 10 times and recording the proportion of 3s rolled many, many times. She then makes a
histogram of the results. This histogram approximates
the bias, if any.
O a Normal curve,
the population distribution.
o the distribution of sample data.
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Mark this and return
Save and Exit
Next
Submit
Answer:
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Answer:
(B) a Normal curve.
Step-by-step explanation:
Because of the central limit theorm, the histogram will become more and more Normal as n ( the smaple size) gets larger.
If the national average for a gallon of gas is $3.10, how much should you expect to pay for gas in philadelphia versus atlanta
Answer: $3.63 / $3.29
Step-by-step explanation:
In Philadelphia, you would pay:
= 3.10 * Percentage of national average for transport
= 3.10 * 117%
= $3.63
In Atlanta:
= 3.10 * Percentage of national average for transport
= 3.10 * 106%
= $3.29
The table below compares the cost of living in Philadelphia and Cleveland, with the numbers representing percentages of the national average.
Answer:
$3.63 / $3.29
Step-by-step explanation:
Just did test
Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She
gave the cashier $40.00. What was her change?
Answer:
$16
Step-by-step explanation:
6 = 4x + 9y ( what Y )
Answer:
Step-by-step explanation:
6
I NEED HELP, WHAT IS THE VALUE OF X?
Please help me out ASAP will give brainliest!!
Answer:
SEE EXPLANATION
Step-by-step explanation:
Side opposite to larger angle is larger and the side opposite to smaller angle is smaller.
Side opposite to the angle ABH is AH
and side opposite to angle GHB is GB
Since angle ABH > angle GHB..... (given)
Therefore, AH > GB
Which statement is true about the graphs of the two lines y=-8x-5/4 and y=1/8x+4/5
Answer:
they are perpendicular. If you were to graph the two equation they would be perpendicular
Step-by-step explanation:
I need help! 50 points + brainliest
1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
x = ±3
x = 3
x = -3
x = ±9
2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
Factor the GCF -12x^3y^5-9x^2y^2+12xy^3
Brainliest for whoever get this right :):):):)
Answer:
the slope is: Positive
slope is: 1/5
y-intercept: -4
equation is: y = 1/5x - 4
Answer:
Slope: Postive
Slope: 5
Y-Intercept: -4
Equation: y = 5x - 4
Step-by-step explanation:
A positive slope rises left to right, a negative slope rises right to left.
The slope is [tex]\frac{rise}{run}[/tex].
The y-intercept is where the line meets the y-axis.
The equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.
Hope it helps and is correct!
7 A man has a body mass of m kg. He is 30 kg
heavier than each of his twin children.
Express the body mass of each child in
terins of m. If the mass of the father and
2 children comes to 156 kg, find the mass
of the father.
Answer:
A man has a body mass of mkg he is 30kg heavier than each of his children. Express the body mass of each child in terms of m if the mass of the father and children sum up to 156kg find the mass of the father
The mass of the father would be 72 kg.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
A man has a body mass of m kg. He is 30 kg heavier than each of his twin children.
Let the mass of first child be x
x = m - 30
Let the mass of second child be y
y = m - 30
The total mass of the two children and a father would be
m + x + y = 156
Substitute;
m + m - 30+ m - 30= 156
3m - 60 = 156
3m = 156 + 60
m = 216 / 3
m = 72.
So the mass of the father would be 72 kg.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
The zurn family ate at a restaurant that was having 15% discount on that day .Their meal costs 64.75,and they left a 20% tip .What is the total cost of the meal
Answer:
[tex]66.05[/tex]
Step-by-step explanation:
Cost of meal = [tex]64.75[/tex]
Cost of meal after discount of [tex]15\%[/tex]
[tex]64.75-64.75\times 0.15[/tex]
[tex]=64.75(1-0.15)[/tex]
[tex]=55.0375[/tex]
Cost of the meal after tip of [tex]20\%[/tex]
[tex]55.0375\times (1+0.2)[/tex]
[tex]=66.045\approx 66.05[/tex]
The total cost of the meal was [tex]66.05[/tex].
whats x equal show work
Answer:
1.71
................
What is the measure of
Answer:
gvb
Step-by-step explanation:
your question is wrong
ask right question first
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
Answer:
The answer is 4, 6, 8, and 10
Step-by-step explanation:
The graph shows that every time you move 1 right, you move 2 up.
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 5, 16 greater-than negative 40, negative 8 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, 5, 8, negative 4. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality.
A:
B:
C:
D:
The inequality symbol is only reversed when dividing by a
number.
Answer:
A:
✔ –4 < –1
B:
✔ –2 < –1
C:
✔ 2 > –5
D:
✔ 2 > –1
The inequality symbol is only reversed when dividing by a
✔ negative
number.
Answer:
1. B
2. B
3. A
4. A
5. negative
Step-by-step explanation:
Write the equation for "16 is equivalent to the product of 7 and a
number d”
Answer:
16 = 7 * d or 16 = 7d
Step-by-step explanation:
16 is equivalent to the product of 7 and a number d
Substitute mathematical signs for the words-
is equivalent means =
product means to multiply *
16 is equivalent to the product of 7 and a number d
16 = 7 * d Could also be written as 16 = 7d
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
Answer:
[tex]\boxed {\boxed {\sf \$54.80}}[/tex]
Step-by-step explanation:
Chris earns the commission on the jewelery sales. To calculate what he earned, multiply the commission rate and his sales.
[tex]commission= commission \ rate * sales[/tex]
His rate is 4% and his sales are $1,370
[tex]commission= 4\% * \$1370[/tex]
Convert the percent to a decimal. Divide by 100 or move the decimal two spots to the left.
4/100= 0.04 4.0 --> 0.4 --> 0.04[tex]commission= 0.04* $1370[/tex]
[tex]commission = \$ 54.8[/tex]
Chris's commission is $54.80
Given m||n fine the value of x
solve the following equation.
4(x+2)-17=35
Answer:
Step-by-step explanation:
x=11
A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?
Answer:monthly rent of a 1-bedroom apartment= $280
Step-by-step explanation:
Let the cost of 1 bed room apartment = x
And the cost of two bedroom apartment= 2x-40
Since the cost of of two bedroom apartment = $520
Then the cost of one bed room part will be expressed as
520= 2x- 40
520+40 = 2x
560= 2x
x= 560/ 2
x= 280
Therefore the cost of 1 bed room apartment = x= $280
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)
Answer:
It would be a trapezoid!
Step-by-step explanation:
Answer:
I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?