MATHEMATICAL CONNECTIONS The two polygons are similar. Find the values of x and y.

Answer:

[tex] abc = - \frac{16}{3} [/tex]

Step-by-step explanation:

[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]

Answer:

I think it's A and D

Step-by-step explanation:

For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months

for option D, y would be the total amount of money spent and x would be the number of granola bars bought.  total money spent = $0.23 × number of granola bars bought

Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.

In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].

In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!

Answer:2400 ...

Step-by-step explanation:

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

Answer:

height = 6

volume = 60 in³

Hope this helps!

Answer:

Height = 4

Volume = 48 units ^3

Step-by-step explanation:

Answer:

r square = half of l square + h square

Step-by-step explanation:

I used phythogoras theorem to express r in terms of l and h

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]

Sweets given to Raji = 5

Remaining sweets = 7

[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]

Answer:

just tell her that you want to see your friends again or say that you think it will have a better effect on your grades. you could say that it would be eaiser to pay attention in class and that CV cases are droping so it would be still be safe to go.

Step-by-step explanation:

Hope this helps!

Answer:

I have already switched from online to in-person, and I would say it was a pretty great decision. Some points you could bring up are ;

o It'll help your grades. (Personally, I was really struggling with my grades while doing online but, as soon as I switched my grades raised quick!)

o You miss your friends, or just seeing humans lol. (It's been almost an entire year we've been on lockdown! No one can see friends, or people in general. If you look it up, its this has taken a big toll on people's mental health.)

o Just to be able to get out of the house for a few hours. (We've been stuck inside with nothing to do besides, sit and do school and spend all of our time looking at our screens. Just tell her it's to much and you need a break.)

Hope this helps !!

Step-by-step explanation:

angle=68

size=21

x=?

:.=68+21+×

=89=180-89

=91

:.×=91

Answer:

42.22 (2 repeating)

Step-by-step explanation:

When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.

Starting with the most basic equation,

Percent * Base = Amount

In this problem, you are given the amount (38) and the percent (90)

So to find the base, you can do

Base = Amount / Percent

As always, convert the percent to a decimal by dividing by 100.

38/ 0.9 = 42.222 repeating

Answer:

38 is 90 Percent of What Number?

42.22

Step-by-step explanation:

Complete question :

Zara, Sam, Shyla, and Ryan are playing a game with marbles, Match the statements with the number lines that represent their solutions:

Two more than Shyla's score is less than 9.

Shyla's score is x;

Three times the number of marbles that

Zara has is more than 15. The number

of marbles Zara has is x;

Sam needs more than 6 points to quality

for the next level of the game. The

number of points Sam needs is x;

Two times Ryan's score is less than 12

Ryan's score is x

Answer:

x < 7 (third number line)

x > 5 (4th number line)

x > 6 (1st number line)

x < 6 (2nd number line)

Step-by-step explanation:

2 more than Shyla's score is less than 9 ; Shyla's score is x ;

x + 2 < 9

x < 9 - 2

x < 7 (third number line)

Three times the number of marbles that Zara has is more than 15. The number of marbles Zara has is x;

3x > 15 ;

x > 15 / 3

x > 5 (4th number line)

Sam needs more than 6 points to quality for the next level of the game. The number of points Sam needs is x;

x > 6 (first number line)

Two times Ryan's score is less than 12 Ryan's score is x;

2x < 12

x < 12 / 2

x < 6 (2nd number line)

Answer:

zara first

shyla second

sam third

ryan forth

Step-by-step explanation:

your welcome :)

Answer:

3 digits

Step-by-step explanation:

Hopefully that helps.

Answer:

3 digits

Step-by-step explanation:

Using a calculator, we find √14641 = 121, which has 3 digits.

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).

The two triangles formed are similar triangles. Therefore:

47/FG = 82/73.8

Cross multiply

FG = (47 × 73.8)/82

FG = 42.3 m

Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Answer:B

Step-by-step explanation:

By using the logarithm table, the value of the expression is approximately  written as 5.796.

To begin, let's use the properties of radicals and logarithms to rewrite the expression:

[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]

Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:

=> 1.373 ¹/₃ = 1.092,

=> 0.007⁻¹/₄ = 5.311

Finally, we can substitute the approximated values back into the original expression:

≈1.092×5.311≈5.796.

To know more about logarithm here

https://brainly.com/question/28346542

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Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

Question:

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?

Answer:

[tex]D = (4,4)[/tex]

Step-by-step explanation:

Let the rectangle be ABCD

[tex]A = (-4,4)[/tex]

[tex]B= (-4,8)[/tex]

[tex]C = (4,8)[/tex]

Required

Determine the location of the last point

A rectangle has the following coordinates

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_2)[/tex]

[tex]D = (x_2,y_1)[/tex]

From the given coordinates:

[tex]x_1 = -4[/tex] --- see x coordinates of A and B

[tex]x_2 = 4[/tex] --- see x coordinates of C

[tex]y_1 =4[/tex] --- see y coordinates of C

[tex]y_2 =8[/tex] --- see y coordinates of B and C

So:

[tex]D = (x_2,y_1)[/tex]

[tex]x_2 = 4[/tex]

[tex]y_1 =4[/tex]

The coordinates of the last point (D) is:

[tex]D = (4,4)[/tex]

Answer:

55 miles

Step-by-step explanation:

Given data

DIstance =  825 miles

Time = 15 hours

Speed= distance/time

Speed= 825/15

Speed= 55  miles per hour

Given that we want to find the distance traveled in 1 hour, we have

Distance= Speed*time

Distance= 55*1

Distance= 55 miles

Hence the car will travel 55 miles in 1 hour

Answer:

A. 180 m²

B. 540 pounds

Step-by-step explanation:

Area of rectangular playground = length × width

Length of a Rectangular playground = 15m

width of the playground =

12m

Area of rectangular playground = length × width

= 15m × 12m

= 180m²

B. 1m square = 3 pounds

What will be the total amount he will charge for leveling the playground.

Total cost of leveling the playground = 180 m² × 3 pounds

= 540 pounds

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Answer:

63.6mm

Step-by-step explanation:

According to cosine rule;

AB² = BC²+AC²-2(BC)(AC)cos m<C

Substitute the given values

AB² = 70²+40²-2(70)(40)cos 64

AB² = 4900+1600-5600cos64

AB² = 6500-5600(0.4384)

AB² = 6500-2,454.87

AB² = 4,045.12

AB = √4,045.12

AB = 63.6mm

Hence the length of AB is 63.6mm

Given:

The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.

To find:

The value of x.

Solution:

We know that the sum of all interior angles of a quadrilateral is 360°. So,

[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]

[tex](5x-10)^\circ=180^\circ[/tex]

It can be written as

[tex](5x-10)=180[/tex]

[tex]5x=180+10[/tex]

[tex]5x=190[/tex]

Divide both sides by 5.

[tex]x=\dfrac{190}{5}[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38.

the answer is D

hope that helps

Answer:

the answer is D

Step-by-step explanation:

Answer:

1526.81

Step-by-step explain

v=[tex]\pi[/tex]*radius^2*Hight

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

Answer:

69

Step-by-step explanation:

Answer:

5x6x7=210x2=420

Step-by-step explanation: