How do you find the radios and the height for this problem?

Answer:

the answer is to 4/3

Step-by-step explanation:

I got the quiz

Answer:

Option C

Step-by-step explanation:

ΔABC and ΔDEF are similar triangles.

By the property of similar triangles, corresponding sides of the similar triangle are proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}=\frac{10}{5}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}[/tex]

DE = 3

Perimeter of ΔDEF = Sum of measures of the sides of the triangle

                                = DE + EF + DF

                                = 3 + 3 + 5

                                = 11

Therefore, Option C will be the correct option.

Answer:

y = 3

hope it helps and your day will be full of happiness

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

Answer:

7m^2+13

Step-by-step explanation:

7m^2 + 10m + 3

Add the numbers ;10+3=13

=7m^2+13

Hope this helped!!!

Answer:

a. Please find attached the plot of the points (0, 0) and (5, 15)

b. The point (0, 0) represents the start point

The point (5, 15) represents the point in the relationship between the water level and the change in time after 5 seconds

c. Please find attached the graph showing the Linear Trendline drawn between the points (0, 0) and (5, 15)

d. The line represents the possible combination time and water level during filling the bucket

e. The equation of the line is y = 3·x

Step-by-step explanation:

The rate at which the empty bucket is filled = 3 inches per second

a. Please find attached the plot made with Microsoft Excel of the points (0, 0) and (5, 15)

b. The points in part (a) (0, 0) and (5, 15) represent the following stages;

1) The point (0, 0) represents the point where the bucket is initially empty before filling the bucket with water

2) The point (5, 15) represents the 5 seconds of filling the bucket with water to a level of 15 inches

c) Please find attached the plot of the points with a Linear Trendline drawn between the points created with Microsoft Excel

d. The straight line drawn from point (5, 15) and passing through the origin at (0, 0) represents the proportional relationship between the water level in the bucket and the amount of time used in filling the bucket

e. The equation of the line is the equation of a proportional relationship which can be expressed in the following form;

y = kx

k = y/x

At the point (5, 15), we have;

y = 15, and x = 5

∴ k = 15/5 = 3 = The rate at which the bucket is filled with water

k = 3

Therefore, we have;

y/x = k = 3

∴ y/x = 3

y = 3 × x = 3·x

The equation of the line is therefore;

y = 3·x

Answer: P= 5 Hope I helped you

Answer:

50%

Step-by-step explanation:

Step-by-step explanation:

[tex] {9}^{2} - 14 = \\ = 81 - 14 = \\ = 67[/tex]

Answer:

Step-by-step explanation:

You must find the value of m in order to evaluate the expression.

[tex]\sf{m^2-14}[/tex]

For m=9

[tex]\sf{9^2-14}[/tex]

Solve.

Use the order of operations.

PEMDAS

First, do exponents.

[tex]\sf{9^2-14}[/tex]

[tex]\sf{9^2=9*9=81}[/tex]

[tex]\sf{81-14}[/tex]

Subtract.

[tex]\sf{81-14=\boxed{\sf{67}}[/tex]

[tex]\Longrightarrow: \boxed{\sf{67}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Increase in surface area =  126 cm²

Step-by-step explanation:

Surface area of the rectangular prism has the dimensions as

Length = 42 cm

Width = 35 cm

Height = 64 cm

Total surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length of the box

b = Width of rectangular box

h = height

Total surface area = 2(42×35 + 35×64 + 64×42)

= 2(1470 + 2240 + 2688)

= 12796 cm²

If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm

Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)

= 2(1470 + 2240 + 2751)

= 12922 cm²

Increase in surface area = 12922 - 12796

                                          = 126 cm²

Answer:

x=17

Step-by-step explanation:

There are two congruent angles so we can double the given values and set that equal to 360. After setting that equal to 360 you find that x is equal to 17, then you plug that into the original equations and get your angles

Answer:

Step-by-step explanation:

Root:

n≈0.00833333 m + 0.666667

Root for the variable n:

n≈-0.0833333 (-0.1 m - 8)

Derivative:

d/dm(0.1 m + 8 - 12 n) = 0.1

Indefinite integral:

integral(8 + 0.1 m - 12 n) dm = 0.05 m^2 - 12 m n + 8 m + constant

Definite integral over a disk of radius R:

integral integral_(m^2 + n^2<R^2)(0.1 m - 12 n + 8) dm dn = 8 π R^2 + 0

Definite integral over a square of edge length 2 L:

integral_(-L)^L integral_(-L)^L (8 + 0.1 m - 12 n) dn dm = 32 L^2 + 0

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Answer:

26

Step-by-step explanation:

4 (6-2) + 62 - 52 =

4 x 4 + 62 - 52 =

16 + 62 - 52 =

78 - 52 = 26

26

Answer:

Hence Brand B is the better buy, since the unit cost is smaller than A

Step-by-step explanation:

Given data

Brand A

Has a pack of 28 pencils for $5.29

unit cost

=5.29/28

=$0.19

Brand B

Has a pack of 48 pencils for $8.47

unit cost

=8.47/48

=$0.18

Answer:

Answer is in picture and explanation below.

Step-by-step explanation:

Continuing from the picture,

Area of Metal base = Area of Bigger Circle - Area of Hollow Circle

=

[tex]1156\pi {mm}^{2} - 225\pi {mm}^{2} \\ = 931\pi {mm}^{2} [/tex]

Volume of Cylinder = Area of Metal base x Height (Length in this case)

=

[tex]931\pi {mm}^{2} \times 40 \\ = 37240\pi {mm}^{3} [/tex]

Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

Answer:

x = 24.75

Step-by-step explanation:

28/8 = 2x+3/15

420 = 16x +24

396 = 16x

x = 24.75

2(24.75) +3 =

49.5 + 3 = 52.5

Answer:

x=9

Step-by-step explanation:

let's find the scale factor of the enlargement ∆ABC of ∆ADE

k=28/20=7/5 or 1.4

Now k×|AD|=|AB|

Therefore

k×|DE|=2x+3

7/5×15=2x+3

21=2x+3

21-3=2x

2x=18

x=9

let me know if I was right

Answer:

RT = 24

Step-by-step explanation:

Diagonals of rectangles bisects each other and equal in length (congruent) to each other.

Thus

US = RT

US = 2(RO)

4x - 16 = 2(x + 2)

4x - 16 = 2x + 4

2x = 20

x = 10

RT = 2(RO)

= 2(x+2)

= 2(10 + 2)

= 2(12)

= 24

Answer:

Subtraction

Step-by-step explanation:

In general, there are two things you can do with savings:

withdraw or deposit.

Withdraw essentially means to take out money and deposit is converse.

These two processes can be associated with the mathematical operations subtraction and addition respectively.

Answer: 32

Step-by-step explanation: 4/2=2 16*2=32

Answer:

3) 81.5 in²

Steps:

D = 32/π = 10.18..

r = 10.18/2 = 5.09

A = π × r²

A = π × 25.93

A = 81.48 ≈ 81.5 in²

in one formula:

A = π(32/π × 1/2)²

A = 81.5 in²

Answer:5.09 sq. inches

Step-by-step explanation:

C = 2π × r

32 = 2π × r

[tex]\frac{32}{2\pi }[/tex] = r

r = 5.09295817894, rounded equals 5.09, so, option 1 is correct

Answer:

m =  [tex]\frac{4}{3}[/tex]

The Triangle RST is missing, so i have attached it.

Answer:

A) TZ = 34

B) ZW = 17

C) SY = 69

D) XZ = 21

Step-by-step explanation:

To form the centroid, we see median drawn from the centre of all three sides.

Thus means the 3 sides are divided into 2 and as such;

XS = XT

YR = YT

WR = WT

Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.

Thus, by inspection of the given triangle, we can say that;

SZ = 2(ZY)

TZ = 2(ZW)

RZ = 2(XZ)

A) Now, we are given TW = 51

TW is made up of TZ and ZW

But since TZ : ZW = 2:1, it means that;

TZ = ⅔ × TW

TZ = ⅔ × 51

TZ = 34

B) From earlier, we saw that TZ = 2(ZW).

Thus; 34 = 2(ZW)

ZW = 34/2

ZW = 17

C) We are given ZY = 23.

From earlier, we saw that;SZ = 2(ZY)

Thus; SZ = 2(23)

SZ = 46

From the attached image we can see that;

SY = SZ + ZY

Thus;

SY = 46 + 23

SY = 69

D) We are given RZ = 42.

From earlier, we saw that;

RZ = 2(XZ)

Thus;

42 = 2(XZ)

XZ = 42/2

XZ = 21

Complete question

Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25. Determine the rate of change for a function that represents Asif's profit, y, in dollars, from selling x cups of lemonade.

Answer:

Step-by-step explanation:

The rate of Change for the function that determines profit :

Slope value, m ;

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 16.25 ; y1= 0 ; x2 = 45 ; x1 = 32

m = (16.25 - 0) / (45 - 32)

m = 16.25 / 13

m = 1.25

Hence, the rate of change in in profit for selling x k cuos of lemonade = $1.25