Write two inequalities to compare 25 and 23

Answer:

1,1.1,1.25,1.5,1.7,9

Answer:

[tex]\huge \boxed{\mathrm{99.98 \ cm}}[/tex]

Step-by-step explanation:

A quadrant is quarter of a circle.

The perimeter of a quarter of a circle is [tex]\frac{2\pi r}{4} +2r[/tex].

The radius [tex]r[/tex] is 28 cm.

[tex]\frac{2\pi (28)}{4} +2(28)= 99.982297...[/tex]

The perimeter of the quadrant with radius 28 cm is approximately 99.98 cm.

Answer:

[tex]\huge\boxed{Perimeter = 99.98\ cm}[/tex]

Step-by-step explanation:

Quadrant is one - fourth of a circle

Perimeter of quadrant = [tex]\frac{2\pi r }{4} + 2r[/tex]

Where r = 28 cm

=> P = [tex]\frac{2(3.14)(28)}{4} + 2(28)[/tex]

=> P = [tex](3.14)(14) + 56[/tex]

=> P = [tex]43.98 + 56[/tex]

=> P = 99.98 cm

Answer:

$6

Step-by-step explanation:

Divide $54 with 9 canday bars

So, 54/9

=$6

Each candy bar cost $6

Answer:

1

Step-by-step explanation:

Any number that is raised to the power of 0 is 1.

1^0 = 1

323^0 = 1

k^0 = 1

Hope that helped!!! k

So basically everything but choices B and C are functions.

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

Explanation:

Answer:

A. 54₁₀

B. 81₁₀

Step-by-step explanation:

To convert from base 4 to base 10, we simply do the following:

A. 312₄ to base 10

312₄ = (3×4²) + (1×4¹) + (2×4⁰)

312₄ = (3×16) + (1×4) + (2×1)

312₄ = 48 + 4 + 2

312₄ = 54₁₀

Therefore, 312₄ is equivalent to 54₁₀.

B. 1101₄ to base 10

1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)

1101₄ = (1×64) + (1×16) + (0×4) + (1×1)

1101₄ = 64 + 16 + 0 + 1

1101₄ = 81₁₀

Therefore, 1101₄ is equivalent to 81₁₀.

Answer: 0.02291666

Step-by-step explanation:

divide 55 by 60 (minutes)

then by 60 again (seconds)

multiply by 1.5

there you go

The person travelled for 0.0229167 miles.

To calculate the distance, we have to multiply the speed by the time taken.

Distance = Speed × Time

Speed = 55 miles per hour.

Time taken = 1.5 seconds = 0.0004167 hours

Note that 3600 seconds = 1 hour

Therefore, 1.5 seconds = 0.0004167 hours

Then, the distance will be:

= Speed × Time

= 55 × 0.0004167

= 0.0229167 miles

The person travelled for 0.0229167 miles.

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nunber a that is -27

hope it helps

Answer:

it should be -26

Step-by-step explanation:

-32+(-4+7)(2)

=-32+3×2

=-32+6

=-26

Answer:

[tex] Volume = 7440.16 ft^3 [/tex]

Step-by-step explanation:

Volume of the composite object = volume of cylinder - volume of rectangular prism

Volume of the composite object = πr²h - whl

where,

π = 3.14

r = 14 ft

h = 14 ft

w = 6 ft

l = 14 ft

[tex] Volume = (3.14*14^2*14) - (6*14*14) [/tex]

[tex] Volume = 8616.16 - 1176 [/tex]

[tex] Volume = 7440.16 ft^3 [/tex]

Answer:

f(g(x))= 1-2(x^2-5+3)

Step-by-step explanation:

To do this you would plug in x^2-5+3 into the x for the g(x) so you would get f(g(x))= 1-2(x^2-5+3)

Answer:

4x^2+6x-1

Step-by-step explanation:

the question asks for f(g(x)). this means you have to plug in the value of g(x) into the "x" of f(x). (you should always work inside out.)

if you do that, you get this equation : (-2x+1)^2-5(-2x+1)+3 (i changed the 1-2x into -2x+1) because you plug in the g(x) (in this case, -2x+1) into the x's in the f(x) equation.

first you foil the (-2x+1)^2 and get 4x^2-4x+1.

then you distribute -5(-2x+1) and get +10x-5

and you bring down the 3.

so you have 4x^2-4x+1+10x-5+3 and you combine your like terms and get

4x^2+6x-1

which is your answer!

Answer:75

Step-by-step explanation:

Answer:

D. 75%

Step-by-step explanation:

Hello!

To convert a decimal to a percent we move the decimal point two times to the right

0.75 ⇒ 75%

The answer is D.75%

Hope this helps!

Answer:

- 0.25

Step-by-step explanation:

Common ratio

[tex]r = \frac{succeeding \: term}{preceding \: term} \\ = \frac{80}{ - 320} \\ = - \frac{1}{4} \\ = - 0.25[/tex]

Given that :-

Geometric sequence → -320,80,-20,5

To find :-

Common ratio .

Solution :-

Common ratio = ar/a

→ Here a = -320

→ ar = 80

→ Common ratio = 80/-320

Let's check it →

Taking a = 80 and ar = -20

→ Common ratio = -20/80

So common ratio will be -1/4

Answer:

m = -5

Step-by-step explanation:

m = (y₂ - y₁) / (x₂ - x₁)

m = (11 - 6) / (-18 - ( -17))

m = 5 / (-18 + 17)

m = 5 / -1

m = -5

Answer:

top answer is -23

bottom answer is -2

Answer:

Step-by-step explanation:

[tex] \sf{15 - 2(3 - 2x) = 46}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{15 - 6 + 4x = 46}[/tex]

Subtract 6 from 15

⇒[tex] \sf{9 + 4x = 46}[/tex]

Move 9 to right hand side and change its sign

⇒[tex] \sf{4x = 46 - 9}[/tex]

Subtract 9 from 46

⇒[tex] \sf{4x = 37}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{37}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 9.25}[/tex]

Hope I helped!

Best regards!!

The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

15 - 2(3 - 2x) = 46

Let us first expand the brackets ,

15 - 6 + 4x = 46

Now solving them we get,

9 + 4x = 46

Substracting by 9 both the sides of the equation we get,

⇒4x = 37

Dividing the equation by 4 we get

⇒x = 37/4

Hence,The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.

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Answer:

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

Step-by-step explanation:

Melissa was charged $3 each time she used the ATM at work

She used the work ATM 24 times in a month.

Charge per usage= $3

Number of times of usage= 24

By how much did her bank account change from using the ATM at work

Total charges = charge per usage × Number of times of usage

= 3 × 24

= 72

Total charges = $72

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

Answer:

6

Step-by-step explanation:

-3+10-1

10-4

=6

hope this helps

Answer:

6

Step-by-step explanation:

You can add -3 and -1 to make -4 and subtract from 10.

-3-1+10= 6

Answer:

128 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 3 : 4 , thus

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger figure then by proportion

[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )

9x = 1152 ( divide both sides by 9 (

x = 128

Thus area of larger figure is 128 cm²

The required area of the bigger shape is 128 cm².

The linear scale factor of two similar shapes is in ratio 3:4. the area of the smaller shape is 72cm square. To determine the area of the bigger shape.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Linear scale factor ratio of two similar shapes = 3:4
Let the area of the bigger shape = x²

Area of the smaller shape   = 72

Now since the ratio is linear = 3 : 4
squaring the ratio  = 3²:4²

                            = 9:16
Now the ratio of the are = 72: x²
Equating the ratios
72/x² = 9/16
x² =  16/9 * 72
x² =  1.77 * 72
 x² = 128

Thus, the required area of the bigger shape is 128 cm².

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Answer:

let the unknown rational number be X.

26/X=39

X=39/26

X=3/2

Answer:

x=17/3

Step-by-step explanation:

divide both sides by 3 to isolate x

Answer:

36 square units.

C

Step-by-step explanation:

Please refer to the provided graph.

So we want to figure out the area of the rectangle. To do so, we simply need to figure out the base and height of the rectangle. We can then multiply them together to acquire the area.

From the graph, we can see that if we find the length of SR and SP, we can use the the base and height, respectively.

Now, we just have to find there lengths. Technically, we could just count. However, I'm going to use the distance formula.

the distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Find the length of SR:

Point S is (-2,-1) while Point R is (4,-1). Let (-2,-1) be x₁ and y₁ and (4,-1) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(4-(-2))^2+(-1-(-1))^2}\\d=\sqrt{(6^2)+(0)^2} \\d=\sqrt{36}=6[/tex]

So, SR is 6.

Now, find the length of SP:

Point S is (-2,-1) while Point P is (-2,5). Let Let (-2,-1) be x₁ and y₁ and (-2,5) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(-2-(-2))^2+(5-(-1))^2}\\d=\sqrt{0^2+6^2}\\ d=\sqrt{36}=6[/tex]

Therefore, SP is also 6.

Now, the area for a rectangle is:

[tex]A=bh[/tex]

Plug in 6 for the base and 6 for the height:

[tex]A=6(6)\\A=36\text{ units}^2[/tex]

Answer:

12 and 16 or 12:16

Step-by-step explanation:

The ratio is 3:4.  You need the ratio to equal 28.  If you multiply 4 by each one, you get:

3 times 4= 12

4 times 4= 16

12+16=28

Answer:

53.67⁰

Step-by-step explanation:

Give the height of the fence to be 2.4 m tall

Height of the tree = 16m

Horizintal distance from the fence to the tree = 10m

Check the diagram in the attachment.

From the attachment, we will need to first calculate the height AB

AC = AB+BC

Given AC = height of the r=tree = 16m

BC is the height of the fence = 2.4m

16 = AB + 2.4

AB = 16-2.4

AB = 13.6m

Using the SOH CAH TOA trig identity on right angled triangle AEB with AB as the opposite and AB and the adjacent as BE

Using TOA;

tan ∝ = opposite/adjacent = AB/BE

∝ is the angle of elevation of the top of the tree from the top of the fence​.

tan∝ = 13.6/10

tan∝ = 1.36

∝ = tan⁻¹1.36

∝ = 53.67⁰

Hence the angle of elevation of the top of the tree from the top of the fence​ is 53.67⁰

Answer:

70%

Step-by-step explanation:

100%-30% = 70%

29 + 36 = 65 total pushups per day.

Multiply pushups per day by 7 days per week:

65 x 7 = 455 total pushups per week

Multiply pushups per week by number of weeks:

455 x 4 weeks = 1,820 total pushups.

Answer:

|-12+3|=9

Step-by-step explanation:

Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.

Thank you

Answer:

9

Step-by-step explanation:

|-12+3|

|-9|

9

Answer:

27

Step-by-step explanation:

375 7579 779

First write 40% as the decimal .40.

The word "of" tells us to multiply.

So we have (.40)(20) which is 8.

So 40% of 20 is 8.

Answer:

8

Step-by-step explanation:

40% of 20

= 40 × 20/100

= 800/100

= 8/1

= 8

Thus, 40% of 20 is 8

Answer:

See below.

Step-by-step explanation:

I'm going to use what I assume is the correct question.

[tex] \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x}{\cos x} \times \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x(1 - \sin x)}{\cos^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Now use the identity

[tex] sin^2 x + cos^2 x = 1 [/tex]

[tex] cos^2 x = 1 - sin^2 x [/tex]

We replace [tex] \cos^2 x [/tex] in the left denominator.

[tex] \dfrac{\cos x(1 - \sin x)}{1 - \sin^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Factor the difference of squares in the left side denominator.

[tex] \dfrac{\cos x(1 - \sin x)}{(1 + \sin x)(1 - \sin x)} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x}{1 + \sin x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Answer:

[tex]\Large \boxed{\frac{1}{15} }[/tex]

Step-by-step explanation:

The two-digit perfect squares are 16, 25, 36, 49, 64, 81.

There are 6 numbers that are two-digit perfect squares.

There are a total of 90 numbers that have two-digits.

P(two-digit perfect square) = [tex]\frac{6}{90} =\frac{1}{15}[/tex]

The  Probability  that the number is a perfect square out of two-digit number is chosen at random is [tex]\frac{1}{15}[/tex] .

Probability is a branch of mathematics that deals with the occurrence of a random event.

For example, when a coin is tossed in the air, the possible outcomes are Head and Tail.

Probability formula :

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A two digit number is chosen at random.

Total number of two digit number are from 10 to 99

i.e

=99-10+1 = 90

or Total Outcomes = 90

Total of perfect square​ of two-digits are: 16,25,36,49,64,81

Total number of perfect square​ of two-digits = 6  

or Favorable Outcomes = 6

Now , The Probability  that the number is a perfect square

Probability(Event) = Favorable Outcomes/Total Outcomes

Probability(Event) = [tex]\frac{6}{90}[/tex]

Probability(Event) = [tex]\frac{1}{15}[/tex]

Hence, the  Probability  that the number is a perfect square out of two-digit number is [tex]\frac{1}{15}[/tex] .

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