Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperback books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
Find the value of x and HE in the triangle
Answer:
EH = HF by the perpendicular bisector theorem
equation:
3x=x+4
or, 3x-x=4
or, 2x=4
or, x=2
so, HE = 6
Answered by GAUTHMATH
PLEASE HELP I BEG ASAP UWILL GET MARKED BRANLIEST
Answer:
3 C
4 B
5 B
6C
Step-by-step explanation:
3. the negative of the functiin reflects the original function on the x axis
4. multiplying by a number greater than 1 increases the slop of the original function
5. subtracting from x translates the function to the right
6. subtracting from f(x) translates the function down
Find the average (mean) of the given set of data.
22,15,31,40,27
Answer:
27
Step-by-step explanation:
Hi there!
We are given this set of data:
22, 15, 31, 40, 27
And we want to find the average (or the mean) of the set
To find the mean, we add up all of the values of the data set and then divide it by how many pieces of data we have
So first, add 22, 15, 31, 40 and 27 together
22+15+31+40+27=135
We have 5 pieces of data, so divide 135 by 5
135/5=27
The mean is 27
Hope this helps!
[tex]\boxed{\large{\mathbf{\blue{ANSWER~:) }}}}[/tex]
Data=22,15,31,40,27no of data=5sum of data=22+15+31+40+27=135we know that,
[tex]\boxed{\sf{mean=\dfrac{sum ~of~ data}{no~ of~ data } }}[/tex]
According to the question,
[tex]{\sf{mean=\dfrac{135}{5 } }}[/tex] [tex]\sf{ mean=27 }[/tex]Therefore,
the average (mean) of the given set of data.(22,15,31,40,27) is 27.
Find x round your answer to the nearest integer.
Answer:
C
Step-by-step explanation:
Note that x is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
[tex]\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:
[tex]\displaystyle \sin 53^\circ = \frac{x}{15}[/tex]
Solve for x:
[tex]x=15\sin 53^\circ[/tex]
Use a calculator (make sure you're in Degrees Mode!). Hence:
[tex]x=11.9795...\approx 12[/tex]
Our answer is C.
Answer:
C. 12
Step-by-step explanation:
Pythagoras Theorem
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Answer:
s4 = 270
18+36+72+144 = 270
-- convergent sums to a single value
Step-by-step explanation:
The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent? the number of seconds after the rocket is released the initial height of the rocket the initial velocity of the rocket the height of the rocket after t seconds The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answers:
t is the number of seconds after the rocket is released
V(r) is the volume of the ball with radius r.
====================================================
Explanation:
There isn't much to say in terms of explanation. These variables are simply definitions.
Marcus plans to spend $72 at a local clothing store that sells t-shirts for $8 each and jeans for $12 each, sales tax included. This scenario is modeled by 8x + 12y = 72, where X represents the number of t-shirts purchased and y represents the number of jeans purchased.
What point on the graph represents Marcus' purchase if it consisted of only t-shirts?
Option
A. The x intercept (9,0)
B. The y intercept (0,6)
C. The x intercept (6,0)
D. The y intercept of (0,9)
Answer:
a. the x intercept (9,0)
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
how many candy bars did team sell if they collected $1,00.00
plz help
ASAP
Answer:
E) 125 boxes
F) 800 candy bars
Step-by-step explanation:
E)
3,125/1.25 = 2500
2500/20 = 125
F)
1000/1.25 = 800
Please hurry I will mark you brainliest
Answer:
12500
Step-by-step explanation:
11830 - 10464 = 1366 (difference 1995 to 96)
10464 - 8958 = 1506 (94 to 95)
8958 - 8135 = 823
8135 - 7537 = 598
7537 - 6642 = 895
6642 - 5942 = 700
5942 - 3579 = 2363 (5 years)
so, we have the annual differences over 11 years.
the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.
so, the mean value of growth over these 11 years is 750.
so, based on this we would estimate for 1997
11830 + 750 = 12580 (12500 being the closest answer option).
but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).
we could argue that the last 2 years had a totally different behavior than the years before.
so, just creating a mean value of the last 2 years' changes would be
(1366 + 1506) / 2 = 2872 / 2 = 1436.
now, or prediction would be
11830 + 1436 = 13266, which would be closer to the 13500 answer option.
solve x
solve x
solve x
Answer:
x = 25
Step-by-step explanation:
When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.
5x - 5 + 2x + 10 = 180
~Combine like terms
7x + 5 = 180
~Subtract 5 to both sides
7x = 175
~Divide 7 to both sides
x = 25
Best of Luck!
Answer: x = 25
Step-by-Step Explanation:
We are given a line, hence it is a straight angle being 180°
Therefore,
=> 5x - 5 + 2x + 10 = 180
= 5x - 5 + 2x = 180 - 10 = 170
= 5x + 2x = 170 + 5 = 175
= 7x = 175
=> x = 175/7 = 25
Therefore, x = 25
Additionally, finding the values of each angle :-
=> 5x - 5
= 5(25) - 5
= 125 - 5
=> 120°
=> 2x + 10
= 2(25) + 10
= 50 + 10
=> 60°
Therefore, one angle is 120° and the other is 60°
Determine the number of real solutions of -2x^2+ 5x – 3 = 0.
2
1 (double root)
5
0
Answer:
[tex]{ \tt{ - 2 {x}^{2} + 5x - 3 = 0 }} \\ { \tt{2 {x}^{2} - 5x + 3 = 0}} \\ { \tt{(2x - 3)(x - 1) = 0}} \\ { \tt{x = \frac{3}{2} \: and \: 1}}[/tex]
Answer:
2 i think
Step-by-step explanation:
sorry if im wrong
A hundred chickadees can eat 100 kg of seeds in 100 days. How many kg of seeds can 10 chickadees eat in 10 days?
Answer:
1 kg
Step-by-step explanation:
Number of chickadees = 100
Quantity of seed eaten = 100 kg
Number of days = 100
Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days
= 100 ÷ 100 ÷ 100
= 1 ÷ 100
= 0.01 kg of seed
How many kg of seeds can 10 chickadees eat in 10 days?
= Quantity of seeds each chickadee eats per day × number of chickadee × number of days
= 0.01 kg × 10 × 10
= 1 kg
10 chickadees eat 1 kg of seeds in 10 days
Dwight wants to build a new rectangular beet farm, but he is first making a list of items he needs to purchase from the store. Dwight decides he will get 160 feet of
fencing to go around the farm that will have a length of 50 feet.
a. Find the width of the farm that Dwight wants to make. Include units.
b. Dwight decides that he will plant 1 beet seed for every square foot of land in this farm and he does not want to purchase any extra seeds. Exactly how many beet seeds should he purchase? Include units.
Answer:welcome
Step-by-step explanation: sorry I jsit really needed the points
out of 500 bulbs, 0.2 are defective. how many are defctive
Answer:
100
Step-by-step explanation:
0.2*500=100
the least common multiple of ½,⅓,⅘ and ³/¹⁰ is a)90 b)50 c)30 d)15 e)10
Answer:
Step-by-step explanation:
Please help with question thank you
Answer:
The answer is 3x=50-10y
Can someone help me with this math homework please!
Common difference = 2nd term - first term = -22.5-(-18)= -22.5+18 = -4.5
Whats the correct answer?
Answer:
Actually the answer is "A"
this is a very strange way to present a problem...
this issue her is that [tex](x^{a}) ^{b} = x^{a*b}[/tex]
so you need 1/3 * 3 in the answer... none of them have 1/3 * 3
BUT !!!!! 1/3 + 1/3 + 1/3 is the same as 1/3 * 3 So "A" is the solution
Step-by-step explanation:
Hello I’m trying to solve this problem I just don’t know how to do it.
BUT if someone could help and show me step by step that would be great I’m not trying to ask for the answer
I’m just trying learn how to solve it and so step by step there no rush Thank you
Step-by-step explanation:
To evaluate the proposed, the comprehension of linear data is required,
Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:
y = -5/3x + 3
3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.
3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.
5x + 3y = 9 <== Standard (General) Form.
Y = 1/3x - 3
3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.
3y = x - 9. Subtract by x to place the slope within the other expression of the equation.
-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.
X - 3y = 9 <=== Standard (General) Form.
2. To solve for the x and y values, utilize the system of substitution:
1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.
-5(X - 3y = 9)
Evaluate,
+ 5x + 3y = 9. Now, add the systems.
-5x + 15y = -45
——————————
18y = -36
Y = -2
Thus, now that y is equated to -2, substitute that to either equation.
X - 3y = 9
X - 3(-2) = 9
X + 6 = 9
X = 3
Thus, x = 3, y = -2. This is their intersection point.
To plot these lines on the graph, execute the following,
Y = -5/3 x + 3
Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).
Starting with that point, go down 5 units, right 3 units.
* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.
* Keep going 5 units down, right 3 units, until the graph allows.
2. Y = 1/3 x - 3
Similarly, conduct the same steps:
Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.
Beginning on that point, go up 1 unit, right 3 units.
Keep going up 1 units and 3 units right until the graph permits.
*I hope this helps.
Please Help!
Use the Parabola tool to graph the quadratic function. f(x)=3x^2−6x+5 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
you didn't tell wich program to use and did not include any pictures.
anyways, I graphed the function with desmos (free to use as app and on website)
so that u can see what the graph should look like.
variance based on the zoom is okay of course.
What's the maximum area you can get for a rectangle with two sides along the x and y axes, and the opposite vertex in the first quadrant along the line y = 20 – 4x?
Answer:
Remember that a triangle rectangle of length L and width W has an area:
A = W*L
In our rectangle, we have two sides along the x and y axes.
So one of the vertices of our triangle rectangle is the point (0, 0)
And the other vertex, is along the line:
y = -4x + 20
So, if the opposite vertex is at the point:
(x₁, y₁)
We can define the length as the difference between the x-values of each vertex.
L = (x₁ - 0) = x₁
And the width, similarly, as:
W = (y₁ - 0) = y₁
Such that the point (x₁, y₁) is a solution for the equation y = -4x + 20, then we have:
y₁ = -4x₁ + 20
Then we can rewrite the width as:
W = -4x₁ + 20
Now, we can write the area of our rectangle as:
A = (x₁)*(-4x₁ + 20)
A = -4*x₁^2 + 20*x₁
Now we want to maximize the area, notice that the area is given by a quadratic equation with a negative leading coefficient.
Thus, the maximum will be at the vertex of that quadratic equation.
Remember that for a general quadratic equation:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2*a)
so, in our case, the x-value of the vertex will be:
x₁ = -20/(-4*2) = 20/8 = 5/2
Now we can evaluate this in our area equation:
A = -4*(5/2)^2 + 20*(5/2) = 49.36
This is the maximum area of the rectangle.
a parabola has x-intercepts at x = 1/2 and x=5. what is the equation of the parabola
Answer:
y = 2x²-11x +5
Step-by-step explanation:
We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:
p(x) = A×(x - x₁)×...×(x - x₂)
Here we will find:
P(x) = (x - 1/2)×(x - 5)
Let's see how we found that:
Here we know that is a parabola, so n = 2, and the x-intercepts are:
x₁ = 1/2
x₂ = 5
And we do not know the leading coefficient, so we can assume A = 1.
Then the polynomial is just:
P(x) = (x - 1/2)×(x - 5)
The graph of this polynomial can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/24371640
can somebody please help me with this (geometry)
At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
need help with this problem
Answer:
OA⊥OC
∴∠AOB+BOC= 90°
5x+8+6n-6=90
11x+2=90
x=90-2/11
x=88/11
x=8
∠BOC=6x-6
=6(8)-6
=48-6
∠BOC=42°
------------------------------
Hope it helps...
Have a great day!!
Answer:
[tex]<BOC = 42[/tex]
Step-by-step explanation:
In this problem, it is given that lines (AO) and (OC) are perpendicular. This means that when the lines intersect, the four angles formed each have a measure of (90) degrees. As per the given diagram, angles (<AOR) and (<ROC) add up to make (<AOC). Thus, one can form the following equation and solve for (x).
[tex](<AOR) + (<ROC) = (<AOC)[/tex]
Substitute,
[tex](6x-6)+(5x+8)=90[/tex]
Simplify,
[tex]11x+2=90[/tex]
Inverse operations,
[tex]11x+2=90[/tex]
[tex]11x=88\\\\x=8[/tex]
Substitute this into the equation for the measure of angle (<BOC) to find the numerical angle measure:
[tex]<BOC = 6x-6\\x = 8\\\\= 6(8)-6\\\\=48-6\\\\=42[/tex]
Help please
Which points lie in the third quadrants? check all that apply.
A. Point F
B. Point B
C. Point C
D. Point D
E. Point E
Answer:
A. Point F
Step-by-step explanation:
Quadrant I is the top right, Quadrant II is the top left, Quadrant III is the bottom left, and Quadrant IIII is the bottom right. SO basically, the order of quadrants is counterclockwise.
If we look at the bottom left (Quadrant III), we see there is only one point there; point F.
Hope this helps!
If there is something wrong, please let me know.
∛3x+7=∛2x+1
solve it please
Answer:
x = -6
Step-by-step explanation:
cube each side :
3x + 7 = 2x + 1
solve for x:
x = -6
Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34