Answer:
4 full pages or 5 to use all the leaves
Step-by-step explanation:
26 leaves
6 per page
26/6 ≈ 4.33
4 full pages or 5 for all leaves
The diagram shows a rectangle ABCE.
D lies on EC.
DAB is a sector of a circle radius 8cm and sector angle 30º.
Calculate the area of the shaded region.
Answer:
15.25 cm²
Step-by-step explanation:
Step 1: find the width of the rectangle, AE.
[tex] cos(60) = \frac{EA}{8} [/tex]
[tex] 8*0.5 = EA [/tex]
[tex] 4 = EA [/tex]
[tex] EA = 4 cm [/tex]
Step 2: Find the area of the rectangle
[tex] Area_{rectangle} = length * width = 8*4 = 32 cm^2 [/tex]
Step 3: Find the area of the sector.
Take π as 3.14
[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 [/tex]
[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 [/tex]
Step 4: Find the area of the shaded region.
Area of shaded region = [tex] Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 [/tex]
Lee wu writes 48 résumés for $35 each. what is her pay ?
A Girl Scout camp served half of their granola with breakfast. After dinner, they put the remaining 6{,}250 \text{ g}6,250 g6, comma, 250, start text, space, g, end text of granola on top of their yogurt dessert. How many kilograms of granola did the Girl Scout camp start with?
Answer:
12.5 kilograms
Step-by-step explanation:
Given:
Half of the granola served with breakfast.
Let the amount of Granola present initially = [tex]x[/tex] kg
Half of it ([tex]\frac{x}{2}[/tex]) served with breakfast, so remaining granola :
[tex]x-\dfrac{x}{2} = \dfrac{x}{2}[/tex]
After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.
First of all, let us convert it to kilogram because the answer is required in Kilograms.
We know that:
1000 gms = 1 kilograms
1 gms = 0.001 kilograms
6250 gms = 6250 [tex]\times[/tex] 0.001 = 6.250 kilograms
Now, as per given question statement:
[tex]\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}[/tex]
So, the answer is:
Girl scout camp started with 12.5 Kilograms of granola.
v() and () are inverses of one another and drawn on the same graph with the same scale on both the horizontal and vertical axis. Which of the following would be true?
A.
By rotating () 90° clockwise around the origin you would get ().
B.
By rotating () 180° clockwise around the origin you would get ().
C.
By reflecting the entire coordinate grid over the line =, () would land on ().
D.
() is the same as (), translated up 3 units.
Answer:
Answer C: Reflecting over the line y = x
Step-by-step explanation:
A function and its inverse have always symmetry around the line y = x (called also the identity line)
Therefore answer C seems to be the only answer that addresses such.
What is the midpoint of LQ?
Answer:
(-4+8) ÷ 2 = 2
uuujhhhhh
Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.
Answer:
x = {-5, -⅓}
Step-by-step explanation:
[tex]3 {x}^{2} + 16x + 5 = 0[/tex]
[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]
[tex]3x(x + 5) + 1(x + 5) = 0[/tex]
[tex](x + 5)(3x + 1) = 0[/tex]
[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]
[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]
"One less than triple a number"
So in this case "number" will be "x"
Triple means multiply by 3 = 3x
1 less means minus 1.
3x-1
Jennifer is going on a hike to the top of a mountain. It will take 3 hours and 55 minutes to hike up the mountain and 1 hour and 10 minutes to hike back down. If Jennifer wants to finish the hike by 3:45 P.M., what is the latest time she can start the hike up the mountain? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
====================================================
Explanation:
Add the minutes for now
55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes
The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.
Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes
This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.
----------------------------
Now convert 3:45 PM to military time. We add 12 hours to get 15:45
Subtract off 5 minutes to get 15:40
Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM
a motor scooter travels 12 mi in the same time that a bicycle covers 5 mi. If the rate of the scooter is 2 mph more than twice the rate of the bicycle, find bith rates.
Answer:
Step-by-step explanation:
let the rate of travel of bicycle=x m/h
rate of travel of motor scooter=2x+2
time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.
time taken by bicycle to travel 5 mi=5/x
as time is same
[tex]\frac{12}{2x+2}=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 \times 5+2=12 ~m/h[/tex]
Find the approximate side length of a square game board with an area of 142in2
Answer:
11.9 in.
Step-by-step explanation:
√142=11.9in
<JNR and <RNX are congruent. if the sum of the measures of the two angles is 180, what type of angle are they?
Answer:
right angles and supplementary
Average rate of change from the function from 0 to 2.
===========================================
Plug in x = 0
f(x) = 2x^2 + 5
f(0) = 2(0)^2 + 5
f(0) = 5
Plug in x = 2
f(x) = 2x^2 + 5
f(2) = 2(2)^2 + 5
f(2) = 13
Now use the formula below to find the average rate of change (AROC) from x = a to x = b
AROC = ( f(b) - f(a) )/( b-a )
AROC = ( f(2) - f(0) )/( 2-0 )
AROC = ( 13 - 5 )/( 2 - 0)
AROC = 8/2
AROC = 4
-----------------
This is the same as finding the slope of the line through (0,5) and (2,13)
m = (y2 - y1)/(x2 - x1)
m = (13-5)/(2-0)
m = 8/2
m = 4
The graph of a line goes through the points (-4,3) and (6,8). What is the equation of the line in slope-intercept form? Enter the correct answer in the box by replacing m and b with the appropriate values.
y=mx+b ?
Answer:
y= ½ x + 5
Step-by-step explanation:
[tex] (-4,3) \: (6,8). \\ x_1 = - 4 \\ y_1 = 3 \\ x_2 = 6[/tex]
[tex]y_2 = 8 \\ \frac{y - y_1}{x - x_1} = \frac{y_2 -y_1}{x_2 - x_1} [/tex]
[tex] \frac{y - 3}{x - ( - 4)} = \frac{8 - 3}{6 - ( - 4)} = \frac{y - 3}{x + 4} = \frac{5}{10} [/tex]
[tex]10(y - 3) = 5(x + 4) \\ 10y - 30 = 5x + 20 \: \\ 10y = 5x + 20 + 30 = 10y = 5x + 50 \\ [/tex]
[tex] \frac{10y}{10} = \frac{5}{10} x + \frac{50}{10} \\ y = \frac{1}{2} x + 5[/tex]
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line can be written as y = (1/2)x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
To write the equation of the line, we need to firstly find the slope of the equation. Therefore, the slope of the equation can be written as,
Slope = (8 -3)/[6 - (-4)] = 5/10 = 1/2
Now, substitute the value of the slope and the any point in the general equation of a line. Therefore, we can write,
y = mx + c
8 = (1/2)(6) + C
8 = 3 + C
C = 5
Hence, the equation of the line can be written as y = (1/2)x+5.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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What is the end behavior of the function h? H(x)=-4x+4
Answer:
Below
Step-by-step explanation:
The end behavior of a function is how it grows when it reaches both plus and - infinity.
To do that we will calculate:
● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf
-4 is negative so the limit will be -infinity
● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf
-4 is negative, x is negative then -4x is positive. So the limit will be + inf
12. The distance by air from Buenos Aires to Cape Town is 6900 km. An airplane flies at an average speed of
800 km h . Find the time it takes for this airplane to fly from Buenos Aires to Cape Town.
Answer:
8 hours 37.
800x8= 6400
800x 0.5 (or 30 mins) = 400
6400+400= 6800
one 5th of an hour = 12 minutes.
Find the exact value of tan A in simplest radical form.
Answer:
[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]
Step-by-step explanation:
Given:
Right ∆ABC
AB = 61
BC = 60
AC = 11
Required:
Value of tan A in radical form
SOLUTION:
[tex] tan(A) = \frac{opposite}{adjacent} [/tex]
Opposite = 60
Adjacent = 11
[tex] tan(A) = \frac{60}{11} [/tex]
[tex] tan(A) = \frac{\sqrt{4*15}}{11} [/tex]
[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]
how to find rationalizing factor of
class 9
Answer:
[tex] \sqrt[5]{a^{3} b^{2}c}[/tex]
Step-by-step explanation:
Rationalization factor of [tex] \sqrt[5]{a^2 b^3 c^4} [/tex]
[tex] = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\
= \sqrt[5]{a^{3} b^{2}c^{1}}\\
= \sqrt[5]{a^{3} b^{2}c}\\ [/tex]
Drag each number to the correct location on the image. Each number can be used more than once, but not all numbers will be used.
Answer:
5 3
6 4
4 2
Step-by-step explanation:
Help please!!!! Thank you
-3/8 + 1/4 write your answer in simplest form
Answer:
-1/8
Step-by-step explanation:
Convert 1/4 into 2/8.
Then, minus -3/8 and 2/8
Answer:
-3/8 + 1/4 = 1/8
Step-by-step explanation:
-3/8 + 1/4
1/4 = 2/8
then:
2/8 - 3/8 = -1/8
The following map shows the location of a mall, library, and school in a city: Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
A.) 10
B.) 12
C.) 34
D.) 46
Mike: From the school to the mall, we could count out 16 units. From the mall to the library, we could count out 29 units. When we add 16 and 29, we get the distance Mike traveled: 45 units.
Henry: He traveled from the school to the library. To find out how long this distance is, we look at our previous numbers. From the school to the mall: 16. From the mall to the library: 29
To solve, we need to know the Pythagorean Theorem. We use the formula a^2 + b^2 = c^2. Here, 16 is a and 29 is b. We need to square both numbers and add them together to get c^2.
[tex]16^2=256\\29^2=841\\256+841=1097\\1097=c^2[/tex]
Then, we have to square 1097 to find c.
√1097 ≈ 33
Total: We subtract Henry's distance from Mike's to get our final answer.
45 - 33 = 12
Mike traveled 12 more units than Henry.
Which of the following correctly uses exponents to write "6 factors of 2"?
062
26
06.2
12
Please hurry!
Answer: 2^6
Step-by-step explanation:
First, when we have:
x^n
this means that we are multiplicating x by itself n times.
Now, in this case we have:
6 factors of 2 would mean that we have:
(2)*(2)*(2)*(2)*(2)*(2)
2 multiplied by itself 6 times.
This is equal to:
(2)*(2)*(2)*(2)*(2)*(2) = 2^6
Find the value of x. Can someone please help me, i’ve been stuck for hours
Answer: Hi!
The value of the variable is 11.
The angles will be equal, as the lines intersect and make an X. To find the value of the angle, we would first subtract 2 from 35 and then divide by 3 to fill in the expression.
35 - 2 = 33
33 ÷ 3 = 11
The value of x is 11.
Hope this helps!
Tony is 1⁄2 mile ahead of Laura on a jogging
path. If Tony is running at 4 miles per hour, and
Laura is running at 6 miles per hour, how long
will it take Laura to catch up with Tony?
Answer:
¼ hours or 15 minutes
Step-by-step explanation:
let the time it will for laura to catch up with Tony be 't'
Distance = speed × time
Distance corvered by Laura in time (t) = Distance corvered by Tony in time (t) + Distance between Tony and Laura
6×t = 4×t + ½
6t = 4t + ½
2t = ½
t = ¼ hours or 15 minutes
BRAINLIEST PLEASE
HOPE IT HELPS..... ;-)Answer:
15 minutes
Step-by-step explanation:
Let Tony is running x distance when Laura catch up him.
Then Laura is running x + 0.5 miles distance .
This motion takes the t time.
Using the equation of the motion ,
s = ut
s - Distance u - velocity t - Time
For Tony's motion
x = 4 × t --------*
For Laura's motion
x + 0.5 = 6 × t ------**
** - * --->
x + 0.5 - x = 6t - 4t
0.5 = 2t
t = 0.25 hours
t = 15 minutes
x(2y-5z+1)= show work plz
Answer:
[tex]2xy-5xz+x[/tex]
Step-by-step explanation:
I'm going to assume you wanted to multiply these terms.
To do this, we distribute [tex]x[/tex] into each term in the parentheses.
[tex]2y \cdot x = 2xy\\\\-5x \cdot x = -5xz\\\\1 \cdot x = x[/tex]
Combining these terms, we get [tex]2xy-5xz+x[/tex].
Hope this helped!
which of the following represents the divisor and the dividend for the synthetic division problem below?
Answer:D
Step-by-step explanation:
Answer:
x - 1 a n d - 2 x ^ 2 - 9 x - 7
Two students were asked to use estimation strategies to find a reasonable solution to this question: There are 94 third graders and 125 fourth graders going on a field trip. There will be 17 students riding in cars and the rest will be divided evenly between 5 buses. Estimate the number of students in each bus. From the choices below, select the student with a more reasonable solution.
Answer:
40
Step-by-step explanation:
94 + 125 - 17 / 5
fill in the power 4 _ =64
Answer:
the 3'd power
Step-by-step explanation:
4x4=16 16x4=64
Answer:
[tex]\Huge \boxed{\mathrm{3}}[/tex]
Step-by-step explanation:
Let the power be x.
[tex]\mathrm{4^x=64}[/tex]
Take log of both sides.
[tex]\mathrm{log(4^x)=log(64)}[/tex]
[tex]\mathrm{x \cdot log(4)=log(64)}[/tex]
Divide both sides by log(4).
[tex]\displaystyle \mathrm{x=\frac{log(64)}{log(4)} }[/tex]
[tex]\mathrm{x=3}[/tex]
Find the area of each square. And input each area
Answer:
16m²
25m²
9m²
Step-by-step explanation:
4 × 4 = 16m²
5 × 5 = 15m²
3 × 3 = 9m²
Help!!!!!!!!!!!!!!!!!!!!
Answer: Light blue
Step-by-step explanation:
Answer:
2x+10≤25Step-by-step explanation:
[tex]2\$ on \:each \:game\\10\$ on food\\Let \:x \:be the \:no \:of \:games \:he \:plays\\\\2x +10\\Must\: be \:less\: than\: or \:equal \:to\: 25\$\\\\= 2x+10\:\le 25[/tex]