Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?

Answers

Answer 1

Answer:

120

Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches

Answer 2

Answer:

Step-by-step explanation:


Related Questions

Which expressions are equivalent to 10/10^3/4?

Answers

[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]

[tex]10 {}^{ \frac{ 1}{4} } [/tex]

Answer: B and D

Step-by-step explanation:

Edge 2023

Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[

Answers

[3 6 3]

( 3 3. 3]

THIS ANSWER IS CORRECT

Solution:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

Explanation:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]

The rule for a reflection over the x -axis is (x,y) → (x,−y)

===============================================================

or multiply the matrix with:      [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]

[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]

Final answer:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

SOMEONE PLEAASE HELP ME ASAP THIS IS DUE SOON



14. Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square root


______________
√ (x - 7)^2 + (y - 9)^2 = (y - 4)

Answers

Answer:

Assuming a vertical axis of symmetry, the equation would be of the form y = ax^2 + bx + c which can also be written as y = a(x - h)^2 + k. Case 1: If the two points have the same y value, then the axis of symmetry will pass through the midpoint of the segment between them.

Step-by-step explanation:

An equation is formed of two equal expressions. The given equation can be simplified for y as y=(x²-14x+114)/10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as shown below,

[tex]\sqrt{\left(x\:-\:7\right)^2\:+\:\left(y\:-\:9\right)^2}=\left(y\:-\:4\right)[/tex]

(x - 7)² + (y - 9)² = (y - 4)²

(x - 7)² = (y - 4²) - (y - 9)²

(x² + 49 - 14x) = (y² + 16 - 8y) - (y² + 81 - 18y)

x² + 49 - 14x = y² + 16 - 8y - y² - 81 + 18y

x² + 49 - 14x = 10y - 65

x² - 14x + 49 + 65 = 10y

x² - 14x + 114 = 10y

y = (x² - 14x + 114)/10

Hence, the given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as y=(x²-14x+114)/10.

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In your own words, name the two operations used for converting weight measurements, and describe when to use each.

What are the 2 operations that you use to convert weight? I'm confused.
Is it multiplying and dividing?

Answers

Answer:

In physics the standard unit of weight is Newton, and the standard unit of mass is the kilogram. On Earth, a 1 kg object weighs 9.8 N, so to find the weight of an object in N simply multiply the mass by 9.8 N. Or, to find the mass in kg, divide the weight by 9.8 N.Divide the object's weight by the acceleration of gravity to find the mass.

Step-by-step explanation:

this is what i think

PLEASE HELP PLEASE help

Answers

Answer:

Q. Equal

Step-by-step explanation:

"The same" means equal. Its kind of like equations.

1 is equal to 1 they are the same number

answer: Equal

Step-by-step explanation: being the same in quantity, size, degree, or value.

​4sin45 degrees cos 15degrees=1+square root 3

Answers

[tex]\text{R.H.S}\\\\=4\sin 45^{\circ} \cos 15^{\circ} \\\\=4\sin 45^{\circ} \cos (45^{\circ}-30^{\circ})\\ \\=4 \sin 45^{\circ} \left(\cos 45^{\circ} \cos 30^{\circ} +\sin 45^{\circ} \sin 30^{\circ} \right)\\\\=4 \left(\sin 45^{\circ} \cos 45^{\circ} \cos 30^{\circ} +\sin^2 45^{\circ} \sin 30^{\circ} \right)\\[/tex]

[tex]=4\left[\dfrac 1{\sqrt 2} \cdot \dfrac 1{\sqrt 2} \cdot \dfrac{\sqrt 3}2 +\left( \dfrac 1{\sqrt 2} \right)^2 \cdot \dfrac 12 \right]\\ \\=4\left(\dfrac{\sqrt 3}4 +\dfrac 14\right)\\\\=4\cdot \dfrac 14 \left(1+\sqrt 3\right)\\\\=1+\sqrt 3\\\\=\text{L.H.S}[/tex]

You want to know the average height of your three closest friends.
Should you survey the population or a sample?

Answers

Answer:

population

Step-by-step explanation:

find the 39th term for the aritmethic sequence, 10,15,20

Answers

because you are increasing by 5, you multiply 39x5
this will equal 195.
because you didn’t start at 5, you have to add 10-5 to your answer.
this will make your answer 200.

The 39th term of the sequence is 200.

What is Arithmetic Sequence?

Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.

The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.

Arithmetic sequence is usually represented as

a, a + d, a + 2d, ........, a + (n - 1)d

The nth term of an arithmetic sequence, aₙ is given by the formula,

aₙ = a + (n - 1) d

where, a is the first term and d is the common difference.

The given sequence is 10, 15, 20, ......

a = 10

d = 15 - 10 = 5

Here, we have to find the 39th term of the sequence.

a₃₉ = 10 + (39 - 1) 5

     = 10 + (38 × 5)

     = 10 + 190

     = 200

Hence, the 39th term of the progression 10, 15, 20,..... is 200.

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when a square's side is two units long,its perimiter is eight units

Answers

Answer:

Yes

Step-by-step explanation:

Because it has 4 sides and 4 x 2 = 8

John multiplies one side of the equation 20 + 48 = 68 by a number s. What does he need to do balance the equation?

Answers

hello!

In order to balance the equation, John should multiply the second side of the equation by s.

Why?

Remember the Golden Rule of Algebra:-

[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]

So if you multiply 1 side of the equation by s, you multiply the second side by s.

Please tell John about the Golden Rule of Algebra ;)

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1

Answers

Answer:

Step-by-step explanation:

Arithmetic sequaence:

[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]

[tex]a_2 = -3*4^2-1\\[/tex]

    = -3*16 -1

     = -48 - 1

    = -49

difference = second term - first term

                 = -49 -(-13)

                = -49 + 13

             d = -36

[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]

[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]

= 5*(-135)

= -675

so urgent pls

Answers

Answer:

B

because if you were looking for time that is less than and equal to you would have to choose (c) as you answer

PLEASE HELP WILL GIVE BRANLIEST

Answers

3.75 is the answer I think it is

135.99 rounded to two significant figures

Answers

Answer:

1.3×10^1

Step-by-step explanation:

For this, you need to use scientific notation

First, let's round up the decimal points

135.99 = ~ 136

1.3 ×.10^1

evaluate the expression 4 3x when x is 2

Answers

4 times 3(2) = 24
24 would be the answer

In a certain year, 26% of people aged 65–69 worked. Suppose that a recent report claimed that the percentage of people aged 65–69 who work has increased since that year.

Answers

Considering the situation described, the appropriate hypotheses set is given by:

[tex]H_0: p = 0.26[/tex]

[tex]H_1: p > 0.26[/tex]

What are the hypotheses test?


At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:

[tex]H_0: p = 0.26[/tex]

At the alternative hypotheses, we test if there is evidence that it has increased, hence:

[tex]H_1: p > 0.26[/tex]

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Use rounding to estimate the product of 5, 555 and 4, 444. Round both numbers to the nearest thousand to find your answer.
The solution is

Answers

Step-by-step explanation:

5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.

Write an inequality for the graph shown below.
User for your variable.
X
o
?

Answers

Answer:

3 > x

Step-by-step explanation:

3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.

I hope this helps!

-No one


Write the number in standard form
and word form.
7 x 10 + 5 x 1 + 6 x (1/100) + 2 x
(1/1,000)

Answers

Answer:

75.062

Step-by-step explanation:

just add and multiply then remember that 1/100 or 1/1000 is just 0.001 or 0.01

What is the equation for the circle with center (-9, 5) and radius 4

Answers

Answer:

[tex]\sf (x+9)^2+(y-5)^2=16[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given:

center = (-9, 5)radius = 4

Substituting given values into the equation:

[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]

[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]

(h,k)=(-9,5)r=4

Equation:-

(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]

write the fractions in least to greatest
1/5 3/4 1/3 2/4 6/24

Answers

Answer: 1/5 6/24 1/3 2/4 3/4

Step-by-step explanation: bigger the denominator smaller the value.

The following data points represent the number of children in each household in Cam's neighborhood.
0, 0,6,3,1,5, 0, 2,0
How many households in Cam's neighborhood have 0 children?
households

Answers

Answer:

4

Step-by-step explanation:

We can see that 9 households are represented in the data, 4 of them are zeros. This means 4 households in Cam's neighborhood have 0 children.

hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.

Answers

Answer:

They'll each want a quarter of a cupcake.

Step-by-step explanation:

The number of people in the family is 14.

The number of cupcakes ordered is 4.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of cakes for the family = 3 (1/2)

Number of friends = 2

Now,

Each person's amount of cake = 1/4

The number of people in the family.

= 3(1/2) ÷ 1/4

= 7/2 x 4

= 14

The total number of cupcakes ordered.

= 2 x 1/4 +3(1/2)

= 1/2 + 3(1/2)

= 1/2 + 7/2

= 8/2

= 4

Thus,

There are 14 people in the family.

The total number of cupcakes ordered is 4.

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The complete question is:

Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.

They'll each want a quarter of a cupcake.

Help picture below problem 13

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]

Thus the missing side length is 12 cm

Hope that helps!

It’s from khan academy

B=10 H=8

Find the area of the parallelogram
Use the slider to help you remember the formula

Answers

Answer:

80

Step-by-step explanation:

area of parallelogram is b(vh)

A patio in the shape of a trapezoid has vertices at (4, 1), (5, 4), (9, 4), and (9, 1).
A 4.1
B 5.4
C 9.4
D 9.1
NEED THIS ANSWER ASAP!!!

Answers

Answer: See attached

Step-by-step explanation:

     Coordinate points come in (x, y) so we graph them as so.

(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.

(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.

(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.

(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.

A picture frame measures 18 cm by 20 cm on the outside, and 168 cm?
of picture shows.
Find the width of the frame around the picture.
The width of the frame is
cm.

Answers

Answer:

hello

( 20 - 2 x ) ( 18 - 2 x )

= 360 - 40 x - 36 x + 4 x²

= 4 x² - 76 x + 360

Step-by-step explanation:

125% of what number is 80?
Oa 36
Oь 40
Os 64
Od 72

Answers

Answer:

d. 72

Step-by-step explanation:

Answer :D

64

Step-by-step explanation:

We have, 125% x x = 80

or [tex]\frac{125}{100}[/tex] x x = 80

Multiplying both sides by 100 and dividing both sides by 125,

we have x = 80 x [tex]\frac{100}{125}[/tex]

x = 64

(or just divide 80 x 100 ÷ 125)

Hope this helps - Answered by Lilo

how do you solve 7/8+(4/8-2/4)

Answers

the answer is 7/8 find a common denominator or cross multiply

Write a
quadratic equation for each pair
of solutions.
√200T and - √2001

Answers

Answer:

x^2 - 2001 = 0

Step-by-step explanation:

I guess you mean √2001 and -√2001

The product of the 2 solutions = -2001 and the sum is 0.

The required equation  is x^2 - 2001 = 0

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