Which triangles are similar

Answer:

88

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

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Answer:

1055.58 cube inches

Step-by-step explanation:

radius time height

Answer:

Finally I can answer omg been trying to answer for a while but that bot was holding me back Lol

Answer: 286

Step-by-step explanation:

25 × 16 = 400 19 × 6 = 114 400 - 114 = 286 therefore 286 is the answer hope that helps!

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = 2^x - 4[/tex]

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

Answer:

(4.3 ; 4.5)

Step-by-step explanation:

Given :

Sample size, n = 343

Sample Mean, xbar = 4.4

Standard deviation, σ = 0.9

Zcritical at 90%

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.645 * (0.9/√343)

Margin of Error = 0.0799394

Lower boundary = 4.4 - 0.0799394 = 4.320

Upper boundary = 4.4 + 0.0799394 = 4.480

(4.320 ; 4.480)

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

Answer:

5 2/3

Step-by-step explanation:

2 * 2 5/6

2 * (12+5/6)

2 * (17/6)

34/6

17/3 = 5 2/3

Answer:

1.65 liters

Step-by-step explanation:

1 glass-825 milliliters

2 glasses-? milliliters

[tex]\frac{1}{825} =\frac{2}{x}[/tex]

[tex]x=825*2[/tex]

[tex]x=1650[/tex]

1 liter-1000 milliliters

? liters-1650 milliliters

[tex]\frac{1}{1000} =\frac{x}{1650}[/tex]

[tex]1000x=1650[/tex]

[tex]x=1.65[/tex]

Answer:

1.65L

Step-by-step explanation:

Formula we use: 1 L = 0.001 mL

Apply it!

825mL*0.001L=0.825/glass

0.825*2=1.65L

Answer:

1) Statistic

2) Statistic

3) Statistic

4) Parameter

Step-by-step explanation:

Took test and got it right

Parameter or Statistic to classify each statement:

1. Statistic

2.Statistic

3. Statistic

4. Parameter

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean). The goal of quantitative research is to understand characteristics of populations by finding parameters.

1. 85% of the golf teams surveyed have teammates that can break 80.

This only refers to the surveyed people, so this only refers statistic statement.

2. According to the survey, each member of the soccer team has an average of 2 jerseys.

As in this case, the soccer team is considered as sample  then this is a statistic.

3. Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.

Here the information is about the sample (only 28 swim teams). So here this is statistic.

4. Basketball teams in the district have won at least 3 games for every 5 they have played

Here the information is about the number of games win, which was taken from whole population in this case this is parameter.

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Answer:

The florist sold 270 flowers.

Step-by-step explanation:

Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:

4 x 25 + 1 x 30 = 130

8 x 25 + 2 x 30 = 260

12 x 25 + 3 x 30 = 390

12 x 20 + 3 x 10 = X

240 + 30 = X

270 = X

Therefore, the florist sold 270 flowers.

Answer:

0.12 !!!!

Step-by-step explanation:

JUST TRUSE MEEEE!!!!

Answer:

[tex]g=6x+18[/tex]

Step-by-step explanation:

From the question we are told that:

Function

 [tex]f(x)=x^3+9x^2−81x+14[/tex]

Generally 1st derivative f'(x) of Fuction f(x) is

 [tex]f'(x)=3x^2+2*9(x)-81[/tex]

 [tex]f'(x)=3x^2+18(x)-81[/tex]

Generally 2nd derivative f''(x) of Fuction f(x) is

Where

 [tex]f''(x)=g[/tex]

Therefore

 [tex]g=3x^2+18(x)-81[/tex]

 [tex]g=2*3x^1+18[/tex]

 [tex]g=6x+18[/tex]

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

Answer:

length=28 cm

the area = 196 cm²

Step-by-step explanation:

length = 4 × width

2×(4w+w) = 70

2×5w=70

10w=70

w= 7 cm

length = 4×7 = 28 cm

the area = 28 ×7 = 196 cm²

Answer:

under

Step-by-step explanation:

We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine

Step-by-step explanation:

what is the formula for finding the height of a sphere?

H → 2r

Answer:

The height can be represented as the diameter of the circle.

Step-by-step explanation:

A circle's height can be represented as a diameter because it is the distance between one end of the circle to the other end as it passes through it's center. So it now depends on the parameters given to calculate the diameter using the appropriate formulae.

Answer:

ok

Step-by-step explanation:

Answer: 64.3

Step-by-step explanation:

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

-------------

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

----------------------

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

Answer:

D. 8.343

Step-by-step explanation:

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4