Answer:
Option (B)
Step-by-step explanation:
Given shed is a composite figure having a rectangular solid at the base and a triangular prism on the top.
Volume of the shed = Volume of the rectangular prism + Volume of the triangular prism
Volume of the rectangular prism = length × width × height
= 5 × 2 × 3
= 30 m³
Volume of the triangular prism = Area of the base × height of the prism
= [tex]\frac{1}{2}(\text{Base})(\text{height of the triangular bsae})[/tex] × height of the prism
= [tex][\frac{1}{2}(5)(1.6)]\times 2[/tex]
= 8 m³
Volume of the shed = volume of the rectangular prism + volume of the triangular prism
= 30 + 8
= 38 m³
Therefore, Option (B) will be the answer.
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
What is the solution to -2(8x - 4) < 2x + 5?
O x>
O x<
X>6
x < 6
Answer:
1/6 <x
Step-by-step explanation:
-2(8x - 4) < 2x + 5
Distribute
-16x +8 < 2x+5
Add 16x to each side
-16x+16x +8 < 2x+16x+5
8 < 18x +5
Subtract 5 from each side
8-5 <18x
3 <18x
Divide by 18
3/18 <x
1/6 <x
-2(8x - 4) < 2x + 5
Expand the brackets.
-16x +8 < 2x + 5
Add -2x and -8 on both sides.
-16x -2x<5-8
-18x<-3
Multiply both sides with -1 (reverse the inequalty).
18x>3
Divide 18 into both sides.
18x/18>3/18
x>1/6PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
What is 7/8 divided by 1/4
Answer:
7/2
Step-by-step explanation:
you got two fractions you wanna divide flip the right and multiply
7/8 times 4/1 = 7/2
7/8 divided by 1/4 is equal to 7/2.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
(7/8) ÷ (1/4)
To find the reciprocal of 1/4, we flip the fraction, which gives us 4/1.
Now, we can multiply the first fraction by the reciprocal:
(7/8) × (4/1)
Multiplying the numerators and denominators, we get:
(7 × 4) / (8 × 1)
28/8
The fraction 28/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(28 ÷ 4) / (8 ÷ 4)
7/2
Therefore, 7/8 divided by 1/4 is equal to 7/2.
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Helpppppppp??????????
Answer:
Answer is option d
Answer is given below with explanations.
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
If P(x,y) is the point on the unit circle determined by real number 0, then tan0=
Answer: 0
Step-by-step explanation:
You can solve for tangent by dividing sin by cos.
Looking at the unit circle, at 0, sin is 1 and cos is 0, so you would simply have 0/1, which equals zero.
Answer:
y/x. Just took a quiz and this was the answer
Find a formula for the nth term
of the arithmetic sequence.
First term 10
Common difference -3
Answer:
For an nth term in an arithmetic sequence
U(n) = a + (n - 1 )d
a = first term
d = common difference
U(n) = 10 + (n -1)-3
= 10 - 3n + 3
= 13 - 3n
Hope this helps.
Answer: -3n + 13
Step-by-step explanation:
Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y = 38. C. 4 x + 7 y = 17. 8 x minus 14 y = 36. D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34
Step-by-step explanation:
A. 2 x + 8 y = 15. 4 x + 16 y = 30.
Multiply the first equation by 2
4x+16y = 30 This is identical to the second equation so there are infinite solutions
B. 2 x - y = 18. 4 x + 2 y = 38.
Multiply the first equation by 2
4x -2y = 36. Add to the second equation 8x = 74 so there is one solution
C. 4 x + 7 y = 17. 8 x minus 14 y = 36.
Multiply the first equation by 2
8x +14y = 34 Add this to the second equation 16x = 70 There is one solution
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Multiply the first equation by 2
8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34
0 = 2
This is never true so there is no solution
Answer:
d
Step-by-step explanation:
Find the derivatives of the function
Answer:
Part B)
[tex]\displaystyle h^\prime(t)=\frac{2t^3(4-t^3)}{(t^3+2)^3}[/tex]
Part C)
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
Step-by-Step Explanation:
Question B)
We have:
[tex]\displaystyle h(t)=(\frac{t^2}{t^3+2})^2[/tex]
And we want to find the derivative, h‘(t).
This will require the chain rule and the quotient rule. Remember that the chain rule states:
[tex]\displaystyle \frac{d}{dx}[(u(v(x))]=u^\prime(v(x))\cdot v^\prime(x)[/tex]
And the quotient rule:
[tex]\displaystyle \frac{d}{dx}[\frac{u}{v}]=\frac{u^\prime v-uv^\prime}{v^2}[/tex]
Therefore, for our function h(t), we can let, by the chain rule:
[tex]\displaystyle v(t)=\frac{t^2}{t^3+2}\text{ and } u(t)=t^2[/tex]
Then by the quotient rule:
[tex]\displaystyle v^\prime(t)=\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2}\text{ and } u^\prime(t)=2t[/tex]
Then, by the chain rule, our derivative, h’(t), is:
[tex]\displaystyle h^\prime(t)=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})[/tex]
Simplify:
[tex]\begin{aligned} \displaystyle h^\prime(t)&=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})\\ \\ &=\frac{2t^2}{t^3+2}(\frac{2t^4+4t-3t^4}{(t^3+2)^2})\\ \\ &= \frac{2t^2}{t^3+2}(\frac{-t^4+4t}{(t^3+2)^2}) \\ \\ &=\frac{2t^3(4-t^3)}{(t^3+2)^3} \end{aligned}[/tex]
Part C)
We have:
[tex]h(t)=2\cot^2(\pi t+2)[/tex]
Again, we will utilize the chain rule. This time, we will let:
[tex]u(t)=x^2\text{ and } v(t)=\cot(\pi t+2)[/tex]
Then differentiating gives (on the right, we will apply the chain rule a second time):
[tex]u^\prime(t)=2t\text{ and } v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
To differentiate v(t), as mentioned, we need to apply the chain rule. We have:
[tex]v(t)=\cot(\pi t+2)[/tex]
We will let:
[tex]u_2(t)=\cot(t)\text{ and } v_2(t)=\pi t+2[/tex]
Therefore:
[tex]u_2^\prime(t)=-\csc^2(t)\text{ and } v_2^\prime(t)=\pi[/tex]
So:
[tex]v^\prime(t)=-\csc^2(\pi t+2)(\pi)[/tex]
And by simplification:
[tex]v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
Therefore, it follows that:
[tex]h^\prime(t)=2[2(\cot(\pi t+2))(-\pi \csc^2(\pi t+2))][/tex]
So:
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750
Answer:
D.) 750
Step-by-step explanation:
3000-25%= 2250
3000-2250=750
Answer:
(D) $750
Step-by-step explanation:
[tex]3000* 0.25=750[/tex]
Simplify the following expression. (x^0*y^2/3*z−2)^3/2 / (x^2*z^1/2)^−6
Answer:
x^12 * z^3 (zy^2/3 - 2) ^3/2
x to the power of 12 times z cubed (zy to the power of two thirds minus 2) exponent three halves
Step-by-step explanation:
hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!
Answer:
141.9° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.
PLS HELP ME WITH MY GEOMETRY QUESTION
Answer:
X=131
Step-by-step explanation:
9+40+? = 180
All triangles =180
40+9=49
180-49=131
answer is x=131
Answer:
41
Step-by-step explanation:
This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
c always represents the hypotenuse, which is the longest side of the triangle
your two given numbers are represented by a and b
plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]
it should then be: 81+1600=[tex]c^{2}[/tex]
Add the two numbers and take the square root
Help please.The length of a rectangle is 2 times the width. If the perimeter is to be less than 108 meters. What are the possible values for the width.
If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.
The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho
what is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?
(-3,0)
(-1,0)
(1,0)
(3,0)
Answer:
The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).
Answer:
Step-by-step explanation:
PLEASE HELP ME, IMA LOW LIFE WHO DOESNT KNOW MAF
Answer:
c/a/a
Step-by-step explanation:
Answer:
B for the first one. A is for the second one. A for the third one.
Step-by-step explanation:
A is for the second one because 4* 10^4=40,000 while 4*10^5= 400,000 and a marathon is 42,000 and 40,000 is closer to 40,000. Therefore, A.
A for the third one because 1*10^0=1 while 1*10^1=10 and a stride is 1.44 and 1 is closer to 1.44 than 10. Therefore, A.
B for the first one because if a stride is 1m and the marathon is 4*10^4 which is 40,000 then. 40,000/1 = 40,000= 4*10^4
I hope this helps!
P.S.- Just an FYI in case you don't know. An* means to multiply and a ^ means to the power.
Use triangle ABC to write the value of tan A as a ratio.
What is the ratio for tan A
Enter your answer as a fraction in simplest form, like this: 42/53
6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
A .3 pounds B .2 pounds C .1 pound D. 0.5 pound
Answer:
Weight of the parcel in pounds = 1 pound
Step-by-step explanation:
Given:
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
Where,
x = weight of the parcel in pounds
y = total cost of the parcel
Find:
From Eq1 and Eq2, by using Substitution method.
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
So,
3x + 2 = 4x + 1
4x - 3x = 2 - 1
x = 1
Weight of the parcel in pounds = 1 pound in both services is equal
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand
Answer:
29
Step-by-step explanation:
23
Please help
i need ASAP
Answer:
6 and 6
Step-by-step explanation:
In equilateral triangles, all sides are congruent so that means that BC and CA are both 6.
Answer:
BC = 6
CA = 6
Step-by-step explanation:
In an equilateral triangle all measures of side are equal.
Therefore,
AB = BC = CA = 6
Sarah currently earns $18.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 20% raise. How much will she earn each hour after the raise?
Step-by-step explanation:
18 = 20/100 18x100=1800÷20=9020x?=1800 20x90=1800
Sarah will earn $ 21.60 following the percentage increase
What Does Percent Mean?A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%
The approximation error in a data value is the distinction between a precise value and one that is close to it. This error may be referred to as either an absolute error or a relative error.
The difference between the measured value and the true value, expressed as a percentage of the true value, is known as a percentage change.
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Let the amount Sarah will get following the percentage increase be A given the available facts.
Right now, Sarah's starting salary is $ 18.00.
20% is the proportion that hourly work will rise.
Hence, the amount of increased hourly work equals 20% of Sarah's starting salary.
Simplifying results in
The increase in hourly pay is (20/100) times 18 ($3.60)
Now, the amount Sarah will get following the % increase is A = the starting sum Sarah earns + the increase in hourly pay.
And Sarah will earn A = $ 18.00 + $ 3.60 = $ 21.60 after the percentage increase.
Hence, an increase of $ 21.60 is required for hourly employment.
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Find the surface area of the sphere.
r=3 cm
Round to the nearest tenth.
Answer:
Circle shape marked with radius (r) and circumference (c). Also shows formulas for the circumference and area of a circle
Radius (r)
3 cm
Diameter
6 cm
Circumference (c)
18.84956 cm
Area
28.27433 cm²
Answer: 113
Step-by-step explanation:
Point S is located at(9,−3). Point T is located at (4,-3)
Answer:
if 52x=1 what is the value of x
Answer:
5.
Step-by-step explanation:
Khan academy (I tried 5 and it was correct)
A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?
Answer:
(-15,12),(6,18)(12,-9)
Step-by-step explanation:
Given
A (-5, -4), B (2, 6), and C (4, -3)
Dilated from (x,y) to (3x,3y)
Required
Vertices of the dilated image
First, the scale factor has to be calculated
This is calculated as thus;
Dilation = Original * Scale Factor;
In case of (x,y) to (3x,3y)
So, we have
[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]
Simplify brackets
[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]
Divide both sides by (x,y)
[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]
[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =3[/tex]
Now, the vertices of the new image can be calculated;
Using the formula: Dilation = Original * Scale Factor;
At vertex A(-5,4)
Dilation = (-5,4) * 3
Dilation = (-5*3 ,4*3)
Dilation = (-15,12)
At vertex B(2,6)
Dilation = (2,6) * 3
Dilation = (2*3 ,6*3)
Dilation = (6,18)
At vertex C(4,-3)
Dilation = (4,-3) * 3
Dilation = (4*3 ,-3*3)
Dilation = (12,-9)
Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)