0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
What is the volume of the solid? Let π=3.14
.
The volume of the solid as shown in the task content is; 2786.2cm³.
What is the volume of the solid?It can be obtained from the task content that the solid given is a Cone.
On this note, the volume of the cone can be evaluated by means of the formula;
V = (1/3)π r²h where(r =22/2 = 11 and h=22).
Hence, Volume, V = (1/3) ×3.14× (11)²×22 = 2786.2cm³.
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I need help please!!!!
) If a 480 pupils in a school are boys representing 80% of the school's enrolment . Find the total number of pupils in the school
Answer:
Total student= 600
Step-by-step explanation:
Let x be the number of students
[tex]x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600[/tex]
Brainliest please~
Answer:600
Step-by-step explanation:
by taking total number of pupils x
80/100×x=480
48000/80=600
x=600
Find the area of triangle ABC.
A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²
Answer:
[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]
Step-by-step explanation:
The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].
Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:
[tex]a\implies 7.39[/tex] [tex]b\implies 9.75[/tex] [tex]\gamma \implies 36.43^{\circ}[/tex]Substituting these values into our area formula, we get:
[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]
5 (6 - x) - 3 = 5 + 4 (x + 3)
Answer:
X=0
Step-by-step explanation:
5(6-X)-3=5+4(X+3)
30-5x=5+4x+12
30-5-12=4x+5x
13=9x
13/9=x
Answer:
Use BODMAS rule
1st:B- solve bracket
2nd-O- open bracket
3rd;D:divide
4th:M- multiply
5th:A- Addition
6th :Subtract
Solution given;
5 (6 - x) - 3 = 5 + 4 (x + 3)
open bracket
30-5x-3=5+4x+12
30-3-5-12=5x+4x
10=9x
x=10/9
x=10/9
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
find m<DCV and m<VBD
9514 1404 393
Answer:
m∠DCV = 50°m∠VBD = 50°Step-by-step explanation:
Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.
Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver. What is the best estimate of the percent of the company's computers that require an update to the printer driver
Answer:
I think the answer might be 30%
Step-by-step explanation:
The best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver.
Using unitary method,
[tex]\frac{40}{12} =\frac{500}{x}[/tex]
Where x is the best estimate of the number of the company's computers that require an update.
x = [tex]\frac{12.(500)}{40}[/tex]
x = 150
To convert it into percentage,
[tex](\frac{150}{500} ).100[/tex]
= 30 %
Hence, the best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
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What are the solutions of x2 - 2x +5 = 0
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
-9-13+2+13−9−13+2+13minus, 9, minus, 13, plus, 2, plus, 13.
me lo pueden resolver porfa es para mañana antes de la 12:59
Answer:
-21
Step-by-step explanation:
comments
If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.
Gọi S là tập các giá trị nguyên của tham số m trong khoảng (–20;20) để bất phương
trình +2{m+2¬√n -√√√m+36]x+m+10-√√m
nghiệm đúng với mọi xe số phần tử của S. Tính
A
25.
B
20.
C
19.
=
U
Answer:
i cannot understand
Step-by-step explanation:
what is the measure of angle A
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
Please help me solve this short problem I’m really struggling
Answer:
Step-by-step explanation:
In the standard form of a quadratic,
[tex]h(x)=-x^2+v_0x+h_0[/tex],
that last term, the h0, is the initial height off the ground that the object is. That means that for the first question, the irrigation system is initially 9.5 feet off the ground.
In order to answer the next question, we need to find the vertex of the parabola, because this is where the max height will occur and at how many feet away from the system. The max height is the k of the vertex and the horizontal distance away is the h of the vertex: (h, k). Thankfully, we have simple formulas to find those:
[tex]h=-\frac{b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] where a, b, and c come from the coefficients in the equation. For us, a = -1, b = 10, and c = 9.5. Finding h first:
[tex]h=-\frac{10}{2(-1)}=\frac{-10}{-2}=5[/tex]
and now k:
[tex]k=9.5-(\frac{10^2}{4(-1)})=9.5-(\frac{100}{-4} )=9.5-(-25)=9.5+25=34.5[/tex]
Summing it up, the vertex is at (5, 34.5), The interpretation of that is that "The spray reaches a max height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head."
Next we are asked how far away from the sprinkler head the water hits the ground. To do this we factor the expression to find the zeros. The zeros tell us where the water will hit the ground after it reaches its max height and then falls back down to earth.
I used my calculator to factor this for me to get that the water will hit the ground 10.87 feet away from the sprinkler head.
A coin is tossed. If it shows heads, a marble is drawn from Box 1, which contains one white and two black marbles. If it lands tails, a marble is drawn from Box 2, which contains two white and two black marbles. Find P(black|coin fell tails).
Answer:
P(black|coin fell tails) = ¼
Step-by-step explanation:
Since a coin has a head and a tail, then probability of landing tail is;
P(tail) = ½
Now, if it falls tails, a marble is drawn from Box 2, which contains two white and two black marbles.
Thus, probability of getting a black marble is; 2/4 = ½
Thus;
P(black|coin fell tails) = ½ × ½ = ¼
Jessica is traveling at a speed of 60 miles per hour in her truck. After 4 hours, how far will she have traveled?
Answer:
240 miles
Step-by-step explanation:
60*4=240
Answer: 240
Step-by-step explanation: If she is traveling 60 miles per hour you can multiply it by 4, which is 240.
A shopkeeper sells house numbers. She has a large supply of the digits, 1, 2, 7, and 8, but no other digits. How many different three-digit house numbers could be made using only the digits in her supply?
Answer:
64.
Step-by-step explanation:
The digits used are 1 , 2, 7 and 8
To make a number of three digits, the digits are repeated.
To make the three digit number
The ones place is filled by 4 ways.
The tens place is filled by 4 ways.
The hundred place is filled by 4 ways.
So, the total number of ways to make a three digit number is 4 x 4 x 4 = 64.
The first term in an arithmetic sequence is 9 and the tenth term is 45. Use the first and tenth terms to find the sun of the first 10 terms. The equation of the sequence is an=4n+5
Answer:
270.
Step-by-step explanation:
If the first term = a and 10th term = a + 9d where d = the common difference.
a + 9d - a = 45 - 9
9d = 36
d = 4.
Sum of first 10 terms = (10/2)[2*9 + (10-1)*4]
= 5 * (18 + 36)
= 5 * 54
= 270.
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
The length of one side of the hot tub is 4.8ft
Step-by-step explanation:
Given
Shape: Square
[tex]k = 5[/tex] -- scale factor
[tex]B'C' = 24[/tex]
Required
Side length of ABCD (the hot tub)
From the question, we understand that
[tex]ABCD \to D_5 \to A'B'C'D[/tex] ABCD dilated by 5 to A'B'C'D
This implies that:
[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D
So, we have:
[tex]BC * 5 = 24[/tex]
Divide by 5
[tex]BC = 4.8[/tex]
Finding the missing length in a figure
Answer:
11
Step-by-step explanation:
because you have to add 5+6=11
I don't understand plz help out
Step-by-step explanation:
V(-2,1)
U(1,3)
E(0,1)
the dilation is by 1/2 so multiply all numbers by a half, hope you pass!!
PLEASE HELP!!! geometry!
Answer:
A' (-3,12)
B' (9,6)
C' (-6,-6)
Answered by GAUTHMATH
f(4) = ______
If g(x) = 2, x = _____
Answer:
-11
0
Step-by-step explanation:
The area of a trapezium is 6y⁵.
The sum of its parallel sides is 4y² .
Derive an expression for the perpendicular distance between the parallel sides.
================================================
Work Shown:
A = area = 6y^5
b1+b2 = sum of the parallel bases = 4y^2
h = unknown height, i.e. distance between the parallel sides
------
A = 0.5*h*(b1+b2)
6y^5 = 0.5*h*4y^2
6y^5 = 0.5*4y^2*h
6y^5 = 2y^2*h
2y^2*h = 6y^5
h = (6y^5)/(2y^2)
h = (6/2)*y^(5-2)
h = 3y^3
The parallel sides are separated by a distance of 3y^3 units.
on the number line, which of the following numbers below can be found on the right of 2.26??
A.2.30
B.-2.25
C.2.25
D.1.26
Answer:
2.25
Step-by-step explanation:
The lower number will always be on the right side unless its negative numbers , So the lower number is 2.25 , Why it isn't 1.26 is because its much far from 2.26 and so cannot be counted . Thanks
Nyasia had 16 M&M’s on her desk. She had 2 groups of M&M’s
with x amount in each, and another group with 4 M&M’s. How
many M&M’s were in the identical groups?
Answer:
7
Step-by-step explanation:
total mnm 16
group 1= 4 mnm
group 2= x mnm
group 3= x mnm
group 1+ group 2+ group 3= 16
4+ x+x=16
2x= 16-4
x= 14/2
x=7
Is a decimal less than a whole number?
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm
Answer:
Step-by-step explanation:
first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm
a = 48
b= 30
Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]
= 1/2*30√( 48² - 1/4×30²)
=1/2*30√ (2304 -225)
=684sq cm
cost required to make umbrella= 10*684*5
= 34200
convert solar days into minutes
Answer:
1 Solar day = 86,400 seconds (SI Base Unit)
1 day = 1,440 minutes
Step-by-step explanation:
If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️
