Answer:
72 cubic feet
Step-by-step explanation:
One cube is one cubic feet.
The formula for the volume of a rectangular prism is:
[tex]V=lwh[/tex]
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So:
4 × 3 × 6 = 72
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Have a good day :)
Does anyone know how to solve this? I would really appreciate help.
Answer:
Step-by-step explanation:
The intersection point (centroid) divides the medians in ratio 2:1. it does mean that the long segment value is the short segment value multiplied by two. let's call the centroid point G.
BG=DG*2=4*2=8
CG=EG*2=2*2=4
AG=FG*2 =>FG=AG/2=6/2=3
Hi! pls answer, pls show the working also......
Answer:
see below
Step-by-step explanation:
13. (8-x)/2 = (2x+2)/5
Using cross products
5(8-x) = 2(2x+2)
40 -5x = 4x+4
Add 5x to each side
40-5x+5x = 4x+5x+4
40 = 9x+4
Subtract 4 from each side
40 -4 = 9x
36 =9x
Divide by 9
36/9 =9x/9
4 =x
14.(x+2)/7 = (3x+6)/5
Again using cross products
5(x+2) = 7(3x+6)
5x+10 = 21x+42
Subtract 5x from each side
10 = 21x-5x +42
10 =16x+42
Subtract 42 from each side
-32 = 16x
Divide by 16
-2 =x
15.(1-x)/2 = (3-x)/3
Again using cross products
3(1-x) = 2(3-x)
3 -3x = 6 -2x
Add 3x to each side
3 = 6-2x+3x
3 = 6+x
Subtract 6 from each side
3-6 =x
-3 =x
3 less than the sum of 4 and a number j?
Answer:
[tex](4+j)-3[/tex]
Step-by-step explanation:
Hope this helps
can anybody help me with this?
2 x 5 x 60
600 ÷ 3 = 300
HELL ASAP WILL MARK BRAINLIEST!!!
Lines CD and DE are tangent to circle A, as shown below:
CE is 105°, what is the measure of angle CDE?
52.5°
62.5
75°
255°
Answer:
The correct answer is 75 dgrees
Step-by-step explanation:
<CDE = arcCBE - arcCE / 2
arcCE = 105°
arcCBE = 360° - 105° =255°
<CDE = 255° - 105°
<CDE = 150 / 2
<CDE = 75°
Therefore the measure of < CDE is 75°
Albert bought 3 blank tapes for $5.95. Find
the cost per tape to the nearest cent.
Answer:
1.94
Step-by-step explanation:
Divide 5.95 by 3
Somebody please help meee!!!!
Answer:
Volume of the pyramid is 448 cubic meters.
Step-by-step explanation:
Volume of the given pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height of the pyramid})[/tex]
Area of the rectangular base = Length × Width
= 12 × 16
= 192 m²
Volume of the pyramid = [tex]\frac{1}{3}(192)(7)[/tex]
= 448 m³
Therefore, the volume is 448 cubic meters.
April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?
Answer:
60 inches
Step-by-step explanation:
Given data
We have the scale of the drawing as
1cm= 6 inches
Now if 1 cm is equivalent to 6inches
then 10cm will be x inches
Cross multiply we have
x*1= 10*6
x= 60 inches
Hence the length of the actual bed is 60inches
7. Rounded to the nearest 10, which whole number is closest to √1000? *
Answer:
30
Step-by-step explanation:
Given the radical values;
√1000
= √100 * √10
= 10√10
= 10 (3.1623)
= 31.623
Converting to nearest 10,
= 30
Hence the value to the nearest 10 is 30
Which is true about the functional relationship shown in the graph?
Cost of Apples
AY
110
100
90
80
Cost ($)
50
an
2
20
10
0
Weight (pounds)
A.)90
B.)41
C.)15
D.)83
Answer:
D
Step-by-step explanation:
∠ABC= ∠DBE (vert. opp. ∠s)
(6x -7)°= (4x +23)°
6x -7= 4x +23
Being x terms to 1 side, constant to the other:
6x -4x= 23 +7
Simplify:
2x= 30
Divide both sides by 2:
x= 15
Substituting the value of x:
m∠ABC
= 6(15) -7
= 83
Can someone help me with this algebra question
Answer:
Step-by-step explanation:
4x^2+120x
4x^2+120x=0
4x^2=-120x
4x^2/x=-120
4x=-120
x=-120/4
x=-30
What is the base of the expression of 11^12
Answer:
11
Step-by-step explanation:
An exponential has the base at the bottom or top
x + 4 + 2x + 5 what will be simplified expression
Answer:
3x + 9
Step-by-step explanation:
1. combine like terms
x and 2x = 3x
4 + 5 = 9
2. put them together
3x + 9 is your answer.
Hope I helped! have a wonderful day!
Answer:
3x + 9
Step-by-step explanation:
Just add the both the x's together:
2x + x = 3x
Then add the regular numbers together:
4 + 5 = 9
then put the answers together:
3x + 9
Find x. Round to the nearest tenth: 29 500 ft
Answer:
437.3ft
Step-by-step explanation:
last of sines
a/sin(A) = b/sin(B) = c/sin(C)
sin(90) = 1
the angle between y and 500ft side is 90-29 = 61 degrees.
so,
x/sin(61) = 500/1 = 500
x = 500 × sin(61) = 437.3ft
In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
What is trigonometric ratio?"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."
Formula used
[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]
[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]
According to the question,
In a given right triangle ABC,
Hypotenuse [tex]=500 ft[/tex]
Opposite side [tex]= x ft[/tex]
Adjacent side [tex]= y ft[/tex]
As per the diagram drawn,
[tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]
Substitute the value in the above trigonometric ratio formula we get,
[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]
[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)
In trigonometric ratio [tex]cos\theta[/tex] we get,
[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]
Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
Learn more about trigonometric ratio here,
https://brainly.com/question/1201366
#SPJ2
Can someone please help me this?
Answer:
Yes
Step-by-step explanation:
We can make one equation other to the other to solve for x-value first;
=> -4x = x - 5
=> -4x + (-x) = -5
=> -5x = -5
=> x = -5/-5
=> x = 1
Once we have the x-value we can substitute it in for "x" in any equation to find the y-value;
=> y = x - 5
=> y = (1) - 5
=> y = -4
Writing the answer coordinate points would look like (x, y) which would be (1, -4) which is similar to the give, there for yes the solution to the equations is the given coordinate.
Hope this helps!
⚠️❗️⚠️❗️⚠️❗️ 10 POINTS what's the area
Answer:
263(usually it would say cm or m)²
Step-by-step explanation:
area = l x w
l= 25
w= 19
25 x 19 = 551
thats the area without subtracting the missing area's.
missing area= 9 x 16
=144
since theres 2 areas missing, times it by two
144 x 2
=288
subtract the missing area from the total because its not there.
551 - 288
= 263
help please , i need the perimeter and area
Answer:
Area = 3.5325 ft² ≈ 3.53 ft²
Perimeter = 7.71 ft
Step-by-step explanation:
This is a semi-circle so we just divide the circumference of the original circle by 2
C = 2πr
C = 2 * 3.14 * 1.5
C = 3.14 * 3
C = 9.42
9.42 / 2 = 4.5 + 0.21 = 4.71 ft
4.71 ft + 3 = 7.71 ft
Area:
A = πr²
A = 3.14 * 2.25
A = 7.065 ft²
7.065 ft² = 3.5 + 0.0325 = 3.5325 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Analyze the diagram below and answer the question that follows.
If E, F, and G are the midpoints of , what can you conclude about / and /? Verify your results by finding x when FE = 2x – 1 and DB = 5x – 4.
A.
FE = 2DB; 2004-02-03-03-00_files/i0390002.
B.
; 2004-02-03-03-00_files/i0390004.
C.
2004-02-03-03-00_files/i0390005; 2004-02-03-03-00_files/i0390006
D.
Please select the best answer from the choices provided
A
B
C
D
You need to redo the question and attach the images
it's D!
Please help me with i will mark brainliest
Answer:
125
Step-by-step explanation:
This can be simplified to sqrt(25) ^3
sqrt(25) is 5
(5*5) = 25
5^3 = 225
(5*5*5) = 125
Answer:
125
Step-by-step explanation:
[tex]\sqrt[2]{25^3} \\=25\sqrt[2]{25} \\=25*5\\=125[/tex]
Find the quotient of 3/4 and 5/6
Step-by-step explanation:
according to the picture☝
How are patterns applied in real – life situations? Cite an example.
Find the area of the shape below
Answer:
Q1) 104m²
Q2) 121 in.²
Step-by-step explanation:
Q1)
GIVEN :-
Figure given in the question comprises of a triangle & a rectangle.Length of the rectangle = 10 mWidth of the rectangle = 8 m Base of the triangle = 8 mHeight of the triangle = 6 mTO FIND :-
Area of the figureGENERAL FORMULAES TO BE USED IN THIS QUESTION :-
For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex].For a rectangle with length 'l' & width 'w' , its area = [tex]l \times w[/tex]SOLUTION :-
Area of the triangle = [tex]\frac{1}{2} \times 8 \times 6 = 24m^2[/tex]
Area of the rectangle = [tex]10 \times 8 = 80m^2[/tex]
Area of the figure = (Area of the triangle) + (Area of the rectangle)
= 24m²+ 80m²
= 104m²
Q2)
GIVEN :-
Figure given in the question comprises of a triangle & a trapezium.Lengths of parallel sides of trapezium are 6 in. & 7 in. Height of trapezium = 20 - 3 = 17 in.Base of the triangle = 3 in.Height of the triangle = 7 in.TO FIND :-
Area of the figureGENERAL FORMULAES TO BE USED IN THIS QUESTION :-
For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex].For a trapezium with parallel sides whose lengths are 'a' & 'b' and height 'h' , its area = [tex]\frac{1}{2} \times (a +b) \times h[/tex]SOLUTION :-
Area of the triangle = [tex]\frac{1}{2} \times 3 \times 7 = \frac{21}{2} = 10.5 \; in.^2[/tex]
Area of the trapezium = [tex]\frac{1}{2} \times (6 +7) \times 17 = \frac{221}{2} = 110.5\; in^2[/tex]
Area of the figure = (Area of the triangle) + (Area of the trapezium)
= 10.5 in.² + 110.5 in.²
= 121 in.²
Write an equation in point-slope form of the line that passes through the point (2,1) and has a slope of m=2
Answer:y=2x-3
Step-by-step explanation:
Answer:
y= 2x-3
Step-by-step explanation:
2y+ 3x = 87 and y=6x+21
Answer:
x=3 and y=39
Step-by-step explanation:
2y + 3x = 87
y = 6x + 21
2(6x+21) + 3x = 87
12x + 42 + 3x = 87
15x + 42 = 87
15x = 45
x = 3
y = 6(3) + 21
y = 18 + 21
y = 39
Carly takes a taxi from her house to her friends. Their houses are 6km apart. The taxi driver charges a flat fee of $10 plus $0.25/km. This can be modeled using the equation: C=0.25+10, where X represents the distance travelled in km and C represents the cost in dollars. How much will the taxi ride cost?
Answer:
$11.50
Step-by-step explanation:
0.25 times 6= 1.5, plus 10= 11.50
3.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 11.9 in
C. 9.9 in.
D. 14.0 in
Answer:
C. 9.9 in.
Step-by-step explanation:
Step-by-step explanation:
Alright, lets get started.
Area is given as 49 square inches.
The formula for area A =
base is given as x
Height is given as x
Hence area is A
A =
Multiplying 2 in both sides
Taking square root on both sides
hence the answer is x = 9.9 in : Answer
Hope it will help :)
The value of x is 9.9 in.
Solution:
The given image is a triangle.
Base of the triangle = x
Height of the triangle = x
Area of the triangle = 49 sq. in
To find the value of x:
Area of the triangle =
Substitute the given values in the formula.
Multiply by 2 on both sides, we get
Taking square root on both sides, we get
⇒ x = 9.9 in
Hence the value of x is 9.9 in.
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Determine whether the lines given by the fallowing equations intersect at (-1/4,3/4) show all work. 4x+8y=5, x-3y= -3
Answer:
(0, 1)
Step-by-step explanation:
First, we need to make y the subject of the formula from both expressions
For 4x+8y=5
8y = 5- 4x
y = (5-4x)/5
Similarly for x-3y= -3
-3y = -3 - x
3y = x+3
y = (x+3)/3
Since both lines intersects, hence;
(5-4x)/5 = (x+3)/3
Cross multiply
5(x+3) = 3(5-4x)
5x + 15 = 15 - 12x
5x + 12x = 15 - 15
17x = 0
x = 0/17
x = 0
Sustitute x = 0 into any of the equations
Given that y = x+3/3
y = 0+3/3
y = 3/3
y = 1
This shows that the lines intesects at (0, 1)
solve the equation algebraically please help i don’t understand!!
Hi there!
[tex]\large\boxed{(0, -1)}[/tex]
-2x + 8y = -8
2x - 3y = 3
We must eliminate a variable to solve. We can add the two equations to eliminate x because -2 + 2 = 0:
-2x + 8y = -8
2x - 3y = 3
-----------------
0x + 5y = -5
5y = -5
y = -1
Substitute this value of y into an equation to solve for x:
-2x + 8(-1) = -8
-2x -8 = -8
x = 0
Thus, the solution of this system is:
(0, -1)
Answer:
(0,-1)
Step-by-step explanation:
Hi there!
We are given the system:
-2x+8y=-8
2x-3y=3
there are 3 ways to solve systems of equations: graphing, substitution, and elimination
let's solve this system by elimination, which we will add the 2 equations together to clear one variable, solve for the other variable, and plug the value of that variable to solve for the variable that was cleared earlier.
add the two equations together (-2x and 2x clear out to equal 0 and we'll have only y left.)
-2x+8y=-8
+
2x - 3y= 3
_________
5y=-5
divide by 5 on both sides
y=-1
now substitute y as -1 into one of the equations to solve for x
for example, we can do the second equation
2x-3(-1)=3
multiply
2x+3=3
subtract 3 from both sides
2x=0
divide by 2
x=0
therefore the answer is x=0, y=-1. If you need it as a point, it's (0,-1)
Hope this helps! :)