Answer:
The volume of the irregular figure would be 144 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
3/4 + z = 5/6 what does z equal
Answer:
1/12
Step-by-step explanation:
3/4 + z = 5/6
Subtract 3/4 from each side
3/4 -3/4+ z = 5/6-3/4
z = 5/6 -3/4
Get a common denominator of 12
z = 5/6 *2/2 -3/4 *3/3
z = 10/12 - 9/12
z = 1/12
The pepper plant has 2/3 as many fruits on it as the tomato plant has. The tomato plant has 9 fruits on it. How many fruits does the pepper plant have on it?
Answer:
The pepper plant has 15 fruits on it.
Step-by-step explanation:
Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3
collecting like terms,
y = 2x/3 + x
The above is the number of plants the pepper plant has.
y = 2x/3 + x
y = (2x + 3x)/3
y = 5x/3
Since x = number of fruits on tomato plant = 9, then
y = 5x/3
y = 5(9)/3
y = 5 × 3
y = 15
Since y = number of fruits on pepper plant = 15
So, the pepper plant has 15 fruits on it.
Which of the following lists of three numbers could form the side lengths of a triangle? [tex]A. $10, 20, 30$B. $122, 257, 137$C. $8.6, 12.2, 2.7$D. $\frac{1}{2}, \frac{1}{5}, \frac{1}{6}$[/tex]
Answer:
B. 122, 257, 137
Step-by-step explanation:
The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A
Testing for the options:
1) 10, 20, 30
10 + 20 (= 30) is not greater than 30. It cannot form a triangle
2) 122, 257, 137
122 + 137 (259) is greater than 257. It can form a triangle
3) 8.6, 12.2, 2.7
8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle
4) 1/2, 1/5, 1/6
1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle
. Cho biểu thức A = |3x -1| - (x -7)
a) Rút gọn A b) Tính A biết x= 3 ; x= 0; x= -2 c)Tìm x biết |A| = 8
Step-by-step explanation:
which language is right
if A ={1,2,3,4} and B={3,4,5,6} find A-B.
Answer: {1,2} is the answer.
Step-by-step explanation:
A-B
{1,2,3,4}-{3,4,5,6)
= {1,2}
7.
Explain why the equation 6|x| + 25 = 15 has no solution.
When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.
When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution.
When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.
The statement is false. There is a solution.
Answer:
When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.
Step-by-step explanation:
6|x| + 25 = 15
Subtract 25 from each side
6|x| + 25-25 = 15-25
6|x| = -10
Divide by 6
6|x| /6 = -10/6
|x| = -5/3
There is no solution because the absolute value must be greater than or equal to zero. This equation has it negative.
If the dimensions of a rectangle are 2x + 1 by x + 1, find its area, in terms of x.
Answer:
3x + 1
Step-by-step explanation:
Area Of a rectangle = L x B
= 2 + 1 + 1
= 2 + + 1
= 2 + + 1
= 3 + 1
Answer From Gauth Math
Write 3.6 as a percent.
Answer:
360%
Step-by-step explanation:
You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.
Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces
46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
The above diagram is a cyclic quadrilateral
Step 1
First we find m∠B
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
Step 2
Since we have found m∠B
We can proceed to find the Angle outside to circle
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
Step 3
Find m∠DAB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Step 4
Find m∠C
It you look at the cyclic quadrilateral properly,
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Therefore ,m∠C = 102°
Find the GCF of 15 and 25
15 factors into 5*3
25 factors into 5*5
The common factor is 5, and this is the largest common factor between 15 and 25.
How do I solve for x.
Answer:
x = 17
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(x+7) * 7 = ( 13+8) *8
(x+7) * 7 = ( 21) *8
Divide each side by 7
x+7 = 21/7 *8
x+7 = 3*8
x+7 = 24
Subtract 7
x = 17
Answer:
The answer is x = 17
Though I think the other guy explained it better
95°
6rº + 47°
r_ degrees
Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: r = 8
Step-by-step explanation:
The angles a VOA vertically opposite angles which means they are congurent and equal
6r + 47 = 95
6r = 95 - 47
6r = 48
r = 48/6
r = 8
please click thanks and mark brainliest if you like :)
Help me please sssssssssssssssssssssssssssss
Answer:
0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]Step-by-step explanation:
[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]
[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]
If A= and then find : 2A + 3B
Step-by-step explanation:
Answer:
Step-by-step explanation:
13824 = 2a*3b
13824= 6ab
Ab = 13824/6
A= 13824/b
B= 13824/a
what are the squares from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 answer when multiplied by itself
Answer:
I hope it helps :)
Step-by-step explanation:
[tex] {1}^{2} = 1 \times 1 = 1\\ {2}^{2} = 2 \times 2 = 4\\ {3}^{2} =3 \times 3 = 9\\ {4}^{2} = 4 \times 4 = 16 \\ [/tex]
[tex]{5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49\\ {8}^{2} = 8 \times 8 = 64[/tex]
[tex] {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ { {12}^{2} } = 12 \times 12 = 144[/tex]
[tex] {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256[/tex]
[tex] {17}^{2} = 17 \times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324 \\ {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]
Step-by-step explanation:
Is this the answer you want? If nope inform me.i hope you just ignore my handwriting ☺️
Please help, urgent... Which transformation can not be used to prove that triangle ABC is congruent to triangle DEF?
Answer:
Dilation
Step-by-step explanation:
Dilation can only be used to prove that certain figures are similar
What the correct answer now
Answer:
1001.66 in²
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Slant height (l) = 18 in
Diameter (d) = 22 in
Surface Area (SA) =.?
Next, we shall determine the radius of the cone. This can be obtained as follow:
Diameter (d) = 22 in
Radius (r) =.?
Radius = diameter /2
Radius = 22/2
Radius (r) = 11 in.
Finally, we determined the surface area of the cone as follow:
Pi (π) = 3.14
Slant height (l) = 18 in
Radius (r) = 11 in.
Surface Area (SA) =.?
SA = πr² + πrl
SA = (3.14 × 11²)+ (3.14 × 11 × 18)
SA = (3.14 × 121) + 621.72
SA = 379.94 + 621.72
SA = 1001.66 in²
Therefore, the surface area of the cone is 1001.66 in²
A is (1, –2) and B is (3, 6).
a. Find the length of AB.
b. Find the mid-point of AB.
c. Find the equation of the perpendicular
bisector of AB.
Answer:
I know mid point is (2,2)
Step-by-step explanation:
20° + 2pº
70°
p =
degrees
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
what is the value of x to the nearest tenth
Answer:
14.1
Step-by-step explanation:
Use tan to help:
x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1Simplify 3 squared 2 ⋅ 3 squared 5
Answer:
45
Step-by-step explanation:
(
3
√
5
)
2
9
√
5
2
Rewrite
√
5
2
as
5
.
9
⋅
5
Multiply
9
by
5
.
45
Answer:
2187
Step-by-step explanation:
I'm guessing you meant ^ as squared? Therefore, our equation is [tex]3^23^5[/tex]. We can simplify using the rule of exponents, giving us [tex]3^7[/tex]. [tex]3^7=2187[/tex].
Find the mean, median, and mode
Answer:
Mean = $70.8
Median = $70
Mode = $60
Step-by-step explanation:
From the line plot attached,
Prices of the sunglasses are,
$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130
Since mean of the data = Average of the terms
[tex]=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}[/tex]
= [tex]\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}[/tex]
= [tex]\frac{40+150+360+210+320+360+200+130}{25}[/tex]
= [tex]\frac{1770}{25}[/tex]
= $70.8
Median = Middle term of the data set
Since number of terms of the data set are odd (25)
Therefore, median = [tex](\frac{n+1}{2})\text{th term}[/tex] [where n = number of terms in the data set]
= [tex]\frac{25+1}{2}[/tex]
= 13th term
13th term of the data set is $70.
Therefore, Median = $70
Mode = Term repeated the most
In the data set $60 is the term which is repeated the most (6 times).
Therefore, Mode = $60
PLEASE help me solve this question! No nonsense answers please!
Answer:
10x -24 ft^2
Step-by-step explanation:
The area of the square is x^2
The area of the flower garden is lw
( x-4) ( x-6)
x^2 -6x-4x +24
x^2 -10x +24
Subtract the flower garden from the square to find the area of the patio
x^2 - ( x^2 -10x +24)
Distribute the minus sign
x^2 -x^2 +10x -24
10x -24
Answer:
c. 10x -24 sq. ft
Step-by-step explanation:
area of lot = x * x
area of garden = (x-4)(x-6) = x^2-10x+24
Area of patio
= area of lot - area of patio
= x^2 -(x^2-10x+24)
= 10x-24 sq.ft
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 20
3 10
5 0
7 -10
Initial value: 20, rate of change: 10
Initial value: 30, rate of change: 10
Initial value: 25, rate of change: -5
Initial value: 20, rate of change: -10
Answer:
Initial Value: 25, Rate of change -5.
First. Lets find the rate of change.
y2-y1/x2-x1 = m
We have A(1,20) B(3,10)
10-20/3-1=-5
m=-5(Rate of change)
Now let's find the initial value using slope-point form.
y-y₁=m(x-x₁)
y-20=-5(x-1)
=-5x+5+20
=-5x+25
The initial value is the value of y when the value of x is equal to 0. (Also the Y-Intercept)
Initial Value = -5(0)+25
=25
I NEED HELP FAST PLEASE
Answer:
3
Step-by-step explanation:
3
If f(x)= Square root of X +12 and g(x)= 2 Square root of X what is the value of (f-g)(144)
Answer:
0
Step-by-step explanation:
one-third of a number is subtracted from 11.The result is one and half times the original number. what is the number.
If 11 is subtracted from 3 times the number, the result is the square of 5 less than the number. What are the set of numbers that satisfy
Show that 12.34343434………………can be expressed in the form p/q
Answer:
1222/99
Step-by-step explanation:
12.343434.. =
= 12.(34)
= 12 34/99
= (12*99+34)/99
= (1188+34)/99
= 1222/99
2500 feet is to how many meters
Answer: is 762 meters
Step-by-step explanation:
One foot is equal to 0.3048 meters so multiply 2500 by 0.3048 to find how many meters there are.
2500 * 0.3048 = 762
Answer:762.5 meters
Step-by-step explanation:
1 foot =0.305 m
Hence,0.305×2500=762.5 metres as the answer.
help! ill give brainliest
Answer:
84 square inches is the correct answer.
Step-by-step explanation:
I am 100% sure of that.
Hope this helps....
Have a nice day!!!!