Answer:
[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]
Step-by-step explanation:
The figure is a combination of rectangle and a quarter of a circle.
Therefore,
Area = Area of rectangle x Area of quarter of the circle
[tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]
Bella took the sum of area of rectangle and area of entire circle.
That is why Bella is wrong.
what is 2+a when a=22?
Answer:
24
Step-by-step explanation:
2+a
2 + (22)
= 24
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
students
Answer:
The answer is 74
Step-by-step explanation:
First you need to find the number of student in total so just multiply 26 by 3 which is 78.
Then after since there are 4 students absent subtract 4 from 78 which is 74.
please answer this !!!
5x + 100
x = 16°
Step-by-step explanation:
The sum of angles in a straight line = 180°
Therefore
5x + 100° = 180°
5x = 180° - 100°
5x = 80°
x = 80/5
x = 16°
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Step-by-step explanation:
câu trả lời là trong hình ảnh trên
URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.
In the second quadrant, both cos and tan are negative while only sin is positive.
To find tan, we will use the following property below:
[tex] \large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}[/tex]
Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2
[tex] \large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }[/tex]
Since tan is negative in the second quadrant. Hence,
[tex] \large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}[/tex]
Answer
tan = -√5/2Given circle and circle with radii of 6cm and 4cm respectively.
Compare the length of EF and GH.
The length of EF is ____the length of GH
The length of EF is___
The length of GH is ___
Solution :
Given that :
The radius of circle A = 6 cm
The radius of circle C = 4 cm
In circle A
[tex]\angle EAF = \theta = 140^\circ[/tex]
The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]
= 14.653 cm
In circle C
[tex]\angle GCH = \theta = 140^\circ[/tex]
The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]
= 9.769 cm
Therefore,
The length of EF is 14.653 cm
The length of GH is 9.769 cm
The length of EF is 1.5 times the length of GH
i.e. 14.653 = 1.5 x 9.769
14.653 = 14.653
Hence proved.
Which expression is equivalent to m² - 13m - 30?
Answer:
[tex](m−15)(m+2)[/tex]
Step-by-step explanation:
[tex] m² - 13m - 30?[/tex]
Formula :
[tex] {x}^{2} +bx+c[/tex]
[tex](m−15)(m+2)[/tex]
Hope it is helpful...Check whether (0, -2) is solution of the equation x - 2y = 4 or not
Answer:
Step-by-step explanation:
Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.
x - 2y = 0 - 2*(-2)
= 0 + 4
= 4 = RHS.
(0,-2) is solution of the equation.
Emma wants to give someone 5.2m every day she can donate 10k how long will it take her to donate 5.2m?
Answer:
520 days
Step-by-step explanation:
--------------------------------------
5.2 million = 5,200,000
10 thousand = 10,000
5,200,000 ÷ 10,000 =
= 520 days
---------------
Hope this helps.
Answer:
520 days
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd
Answer:
The length of the missing side is 18yd
Step-by-step explanation:
Sq30 - Sq 24 = Sq (x)
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.
(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.
(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.
(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.
Use the above illustration to answer your question.
Answer:
C: Both distributions are skewed right.
Step-by-step explanation:
The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.
Answer:
The dependent variable is h and the independent variable is t
Step-by-step explanation:
Given
[tex]h(t) = 4t + 5[/tex]
Required
The dependent and the independent variable
The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.
In the above equation, the height (h) depends on time (t) for its value
Hence,
The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t
If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).
Answer:
52
Step-by-step explanation:
f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into
f(n-1)²+3 to get
f(1)²+3 = 2²+3 = 4+3=7
Thus, f(2) =7. Similarly,
f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52
Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.
It's a quartile question.
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
−5x+2y=9
y=7x
solve the system of equation
I need help with this
Answer:
angle B is 38°
Step-by-step explanation:
all angles in a triangle has to equal 180°.
So first find the measurement of angle BAD. This is done by subtracting angle of CAD=46° from the total angle CAB=78° to get 32° for angle BAD. So if angle ADB is 110° and angle BAD is 32° which equals (110+32=) 142.
Then take 180 - 142 = 38°
Answer:
38
Step-by-step explanation:
We can see that A is equal to 78. We can also see that CAD is equal to 46. Therefore BAD is equal to 32. Add 32 and 110 together to get 142. Subtract 142 from 180 to get 38.
Hope that this helps!
Kinda need some help
The number 4 in 8^4 is called
the..
A)Base
B)variable
C)Exponent
D)Term
Answer:
Exponent
Step-by-step explanation:
^ means raised to the power of
The number being raised is known as the exponent
In this case it's the exponent is 4
Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of the apples to make some pies. How many apples are left?
Answer:
132.8 are left enjoy
A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
90% off means is is selling for 10% of the original price.
Multiply original price by 10%
107 x 0.01 = $10.70
It is selling for $10.70
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We need
Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge
Please help me kitty
Answer:
Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.
Answer:
Hi how are you will u friendship with me plz
Could someone help me please if you don’t mind thank you so much!
Answer:
m = 11
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
What is the slope of the line that passes through the points (3,2) and (-4,3)?
Answer:
slope = 1/-7
Step-by-step explanation:
We have two points which are (3,2) and (-4,3) .
To find slope , use the slope formula
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)substitute the values
m = ( 3 - 2 ) / ( - 4 - 3)
m = 1/-7
Hence, slope of line is 1/-7
One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?
Answer:
The first number (x) = 8
Step-by-step explanation:
Let x = the first number
Let y = the second number
x = 3*y - 4
2x + 3 - 2y = 11 Subtract 3 from both sides
2x - 2y = 11 - 3
2x - 2y = 8 Divide by 2
x - y = 4 Add y to both sides
x = y + 4 Now go back to the very first equation. Substitute for x
y + 4 = 3y - 4 Subtract y from both sides
4 = 3y - y - 4
4 = 2y - 4 Add 4 to both sides
4 + 4 = 2y
8 = 2y Divide by 2
8/2 = y
y = 4
x = 3y - 4
x = 3*4 - 4
x = 12 - 4
x = 8
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answer:
ss
Step-by-step explanation:
s
is x+6 a factor of f(c)=-x^2+6x?
Yes.x+6 is a factor of f(x)=-x^2+6x
Answer:
no
Step-by-step explanation:
f(x) = -x^2 + 6x
The right side has a common factor. It is x.
Factor x out on the right side.
f(x) = x(-x + 6)
When the common factor x is factored out, the remaining factor is -x + 6.
-x + 6 is not equal to x + 6.
Answer: no
(20 points) thanks so much!!
Step-by-step explanation:
Let us say x=2 and y=1
Using the formula,
=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2
=>(4-1)^2+(4)^2=(4+1)^2
=>(3)^2+(4)^2=(5)^2
Which is pythogorian triplet
Abox of twelve granola bars was $3.60. What was the unit cost per bar?
Answer:
cost of 12 bars = $3.60
cost of 1 bar = $3.60 ÷ 12
= $0.3
hope it helps
have a nice day
Answer:
$0.30
Step-by-step explanation:
12 granola bars = $3.60
1 granola bars = $3.60/12 = $0.30