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Answer:

[tex]Height= 5cm[/tex]

Step-by-step explanation:

Given

Tank:

[tex]Base =20cm\ by\ 17cm[/tex]

[tex]Depth = 28cm[/tex]

Water:

[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]

Required

Determine [tex]the\ height[/tex] of the water in the tank

First, we calculate the total volume of water added.

[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]

[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]

Convert all units to Litres

[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]

[tex]Quantity = 1.7L[/tex]

Convert to cm^3

[tex]Quantity = 1.7 * 1000cm^3[/tex]

[tex]Quantity = 1700cm^3[/tex]

The volume of the water in the tank is calculated as:

[tex]Volume =Base\ Area * Height[/tex]

i.e. the base area of the tank multiplied by the height of the water in the tank

[tex]Volume =20cm * 17cm* Height[/tex]

[tex]Volume =340cm^2* Height[/tex]

Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume

[tex]1700cm^3=340cm^2* Height[/tex]

Make height the subject

[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]

[tex]Height= \frac{1700cm}{340}[/tex]

[tex]Height= 5cm[/tex]

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

Answer:

find and interpret the value of × so that t(×) = 114.

Answer:

5x7=35

Step-by-step explanation:

Answer:

o.125 cupand 5 fluld

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cup 2 fluid ounces

1 cup = 8 ounces

8 + 2 = 10 ounces

10 * 4,890 = 48,900 ounces = 6,112.5 cups = 6,112 1/2 cups

1/2 cup = 4 ounces

--> 6,112 cups 4 fluid ounces

Hope this helps!

Step-by-step explanation:

fresco didn't Divo ratify jdndodnswjskd ksosbwjw

Answer:

25%

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Answer:

Value of w = 6

Step-by-step explanation:

Given:

AB= 4w-4

BC = 2w-8

AC = 24

Find:

Value of w

Computation:

AB + BC = AC

4w - 4 + 2w - 8 = 24

6w - 12 = 24

6w = 24 + 12

6w = 36

w = 6

Value of w = 6

Answer:

The answer is below

Step-by-step explanation:

Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.

Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.

We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.

15/4 ÷ 5/8 = 6

Hence Tara can make 6 bracelets from the plastic sting.

Answer:

f(-3)= -8

f(2) = 4

Step-by-step explanation:

The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.

3(-3) + 1 = -8

The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.

Answer:

3.75%

Step-by-step explanation:

Principal , P= $800

Number of years, t = 2

Total Amount paid back(principal + simple interest) , A = $860

To obtain the interest rate on the loan :

We use the Relation :

A = P(1 + rt)

r = interest rate

860 = 800(1 + 2r)

860 / 800 = 1 + 2r

1.075 = 1 + 2r

1.075 - 1 = 2r

0.075 = 2r

r = 0.075 / 2

r = 0.0375

Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%

Answer:

False

If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation

Answer: According to the picture the IQR would be 3.5

Step-by-step explanation:

Answer:

hyperbola

Step-by-step explanation:

given data

double-napped cone = 60°

plane intersecting cone angle = 50°

solution        

conic section is formed hyperbola because here plane intersecting the cone makes an angle of 50° is less than angle b/w generator and central axis of 50°

so correct answer is hyperbola                              

Answer:

c on edge

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]

Answer:

2+  x+8  =14

Subtract 2 from both sides of the equation.

x+8  +2−2=14−2

Subtracting 2 from itself leaves 0.

x+8 =14−2

Subtract 2 from 14.

x+8  =12

Square both sides of the equation.

x+8=144

Subtract 8 from both sides of the equation.

x+8−8=144−8

Subtracting 8 from itself leaves 0.

x=144−8

Subtract 8 from 144.

x=136

Step-by-step explanation:

Answer:

The answer is 1 1/3

Step-by-step explanation:

First you multiply the numerators then the denominators.

16 x 3 =48 , 9x4=36 =48/36. So that is your answer but it can still be simplified.

They can both be divided by 12 . 48 divided by 12 = 4 . 36 divided by 12 =  3.

but 4/3 is an improper fraction so you divide 4 by 3 and you get 1 with a remainder 1 = 1 and 1/3

Answer:

a. quadrant II

b. quadrant III

c. quadrant I

d. quadrant IV

e. y axis

f. x axis

Step-by-step explanation:

Answer:

so what XDXD

Step-by-step explanation:

Answer:

The dimension is: 232ft by 85ft

Step-by-step explanation:

Given

Shape: Rectangle

[tex]A = 19720[/tex] --- Area

[tex]P = 634[/tex] --- Perimeter

Required

Determine the dimension

Area is calculated as:

[tex]A = L * W[/tex]

This gives

[tex]19720 = L * W[/tex]

Perimeter is calculated as:

[tex]P = 2(L + W)[/tex]

This gives

[tex]634 = 2(L + W)[/tex]

Divide both sides by 2

[tex]317 = L + W[/tex]

Make L the subject

[tex]L = 317 -W[/tex]

Substitute 317 - W for L in [tex]19720 = L * W[/tex]

[tex]19720 = (317 - W)*W[/tex]

Open brackets

[tex]19720 = 317W - W^2[/tex]

Rewrite as:

[tex]W^2 - 317W + 19720 = 0[/tex]

Expand

[tex]W^2 -232W - 85W + 19720 = 0[/tex]

Factorize:

[tex]W(W -232) - 85(W - 232)= 0[/tex]

[tex](W - 85) (W - 232)= 0[/tex]

Split

[tex]W = 85\ or\ W = 232[/tex]

Recall that:

[tex]L = 317 -W[/tex]

[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]

[tex]L= 232\ or\ L = 85[/tex]

Hence, the dimension is: 232ft by 85ft

The dimension of the  rectangular rink is 85ft by 232ft

Given the following parameters

The formula for finding the area is:

A = lw

lw = 19,720

l = 19,720/w

If the perimeter is 634 feet

2(l+w) = 634

2(19,720/w + w) = 634

39,440/w + 2w = 634

39,440 + 2w^2 = 634w

2w^2 - 634w + 39,440 = 0

On factorizing, w=85 or w=232

Since l = 19,720/w

l = 19,720/232

l = 85

Hence the dimension of the  rectangular rink is 85ft by 232ft

Learn more on area of triangle here: https://brainly.com/question/17335144

Answer:

8 feet

Step-by-step explanation:

56/7= 8. hope this helps!

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

Answer:

64

Step-by-step explanation:

2^6, or 2⁶, is two to the power of six.

Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)

2^6=2*2*2*2*2*2=64

Answer: 64

Step-by-step explanation:

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64

2 ⋅ 2 ⋅ 2 = 8

2 ⋅ 2 ⋅ 2 = 8

8 x 8 = 64

Answer:

18 sack lunches.

Step-by-step explanation:

You want 1/2 bananas and you have 9.

9 / 1/2 = 9 x 2 = 18 lunches.

Step-by-step explanation:

2500x=5000000

2500x/2500=5000000/2500

x=2000

I think the answer is this

Answer:

1..........................

Answer:

Andre scored 14 points.

Step-by-step explanation:

set up expressions with the info given:

Diego's points: a –9

Andre's points: 2d. and

n = 2d

Noah's points = 10

Use the expressions to set up equations to solve.

To find a, Andre's points, we can work backwards.

Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:

10 = 2d. Divide both sides by 2

5 = d

Substitute the value of d, Diego's points, to make an equation using the first expression:

5 = a –9 Add 9 to both sides.

5 + 9 = a a = 14

Andre scored 14 points