Pls help w this question

Answer:

30.045

Step-by-step explanation:

the length of rectangle=140 which is also the diameter of circle

R=d/2=140/2=70 ( which is the width of rectangle)

perimeter of rectangle=2l+2w=140+280=420

perimeter of semicircle=πr+d=70π+140=359.911

the difference between two perimeter

(perimeter of rectangle- perimeter of semi circle) =

420-359.911=60.089

since only one shaded area :

60.089/2=30.0445 close to 30.045

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 =  809

Step-by-step explanation:

Here, let's use the general form of numbers where any  letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 =  809

Answer:

Step-by-step explanation:

Question:

7^1/5

The number given has an exponent of a fraction: fraction exponent = 1/5

Since the top is one, the number 7 stays the same. = 7^1 = 7

The bottom is a 5. This means it is to the fifth root.

Answer = D

Hope this helped,

Kavitha

Answer: If 36/7 is one of the options, choose that one.

If the question involves an exponent, you should use the "caret" which is ^ found above the 6 on a keyboard. [Shift + 6]. That helps avoid confusion.

Step-by-step explanation: 7 is equal to 35/5 because 7×5=35

Add 1/5 and you end up with 36/5. A Common rational number.

7^(1/5) = the 5th root of 7. A very small irrational number!

Answer:

w = 18

Step-by-step explanation:

w-3=15

Add 3 to each side

w-3+3=15+3

w = 18

Answer:

w = 18.

Step-by-step explanation:

w - 3 = 15

w = 15 + 3

w = 18

Check your work!

18 - 3 = 15.

Hope this helps!

Answer:

0.5645

Step-by-step explanation:

De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow

Probabilidad de jugar de noche = 70% = 0.7

Probabilidad de ganar en la noche = 50% = 0.5

Probabilidad de jugar durante el día = 30% = 0.3

Probabilidad de ganar durante el día = 90% = 0.9

Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =

(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]

Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)

= 0.35 ÷ 0.35 + 0.27

= 0.35 ÷ 0.62

= 0.5645

La probabilidad de que el partido se haya jugado de noche = 0.5645

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Answer:

153.586 close to 154 students

Step-by-step explanation:

mean=61

standard deviation =10

sample 450 students , x between 61 and 71

(x-mean)/deviation for score 61 and 71

61-61/10=0

71-61/10=1

the z-scores is between 0 and 1 ( use calculator)

the percentage is 0.3413 close to 34%

number of students that score between 61 and 71=

450*0.3413= 153.586 close to 154 students

Answer:

[tex]H_{o}[/tex]: Larger proportion of news media = democrats

Ha : Large proportion of news media [tex]\neq[/tex] democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

Answer:

tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]

The height of the blimp above the ground is h = 153.884 yard

No,  the fans will not be able to read the advertisement.

The exact angle if the blimp is at 150 feet is 45.74°

Step-by-step explanation:

From the summary of the information given :

The angle of elevation from a point directly under the goal post is 72° and the blimp will be directly above the 50 yard line.

That statement above being illustrated in the attached diagram below for better understanding.

a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line?

The trigonometric ratio that can be used to calculate how high the blimp will be above the 50 yard line is :

tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]

b. How high above the ground is the blimp?

Using the above derived trigonometric ratio,

tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]

[tex]tan \ 72^0 = \dfrac{h}{50}[/tex]

[tex]h =tan \ 72^0 \times {50}[/tex]

[tex]h =3.07768 \times {50}[/tex]

h = 153.884 yard

The height of the blimp above the ground is h = 153.884 yard

c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet.

Will the fans be able to read the advertisement?

No,  the fans will not be able to read the advertisement.

This is  because, 153.884 yard to feet

=  153.884 × 3

= 461.652 feet which is more than the maximum given 150 feet.

If not, what possible angle of elevation could we use?

The possible angle of elevation can be determined by taking the tangent of the trigonometric ratio.

SO

tan θ = [tex]\dfrac{h}{150}[/tex]

tan θ = [tex]\dfrac{153.884}{150 \ feet}[/tex]

tan θ =  1.026

θ = tan ⁻¹ (1.026)

θ = 45.74°

d. What is the exact angle if the blimp is at 150 feet?

The exact angle if the blimp is at 150 feet is 45.74°

Answer:

6,000 children

Step-by-step explanation:

1/3 of 9,000 is 3,000

Meaning that out of 9,000 children, 3,000 WILL get affected. Since we are trying to figure out how many children will NOT get affected, just subtract the number of infected by the total amount which would be 6,000

Answer:

Step-by-step explanation:

If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.

R(75) = 150(1.03)^75

R(75) = 150*9.1789

R(75) = 1,376.835

Hence, the company have about 1377 representatives after 75 days.

Answer:

a) Multiplied by 1.04

b)160(1.06)=169.6

Step-by-step explanation:

Its increasing so (1+4%) will be what it multiplied to.

Hope it helps u

160(1+6%)=169.6

Answer:

{-3.5, 3.5}

Step-by-step explanation:

Interpreting

|-x| = 3.5

gives

3.5 = +(-x)  or 3.5 = -(-x)

or

x = + / - 3.5

so the answer is

{-3.5, 3.5}

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

Answer:

[tex]\sf x=\frac{1}{10}[/tex]

Step-by-step explanation:

Rewrite expression with bases of 4.

[tex]\sf{4^{\frac{3}{4} }} \times \sf({4^\frac{1}{2} )^x =(4^2)^{\frac{2}{5} }[/tex]

Apply law of exponents, when bases are same for exponents in multiplication, add the exponents. When a base with an exponent has a whole exponent, then multiply the two exponents.

[tex]\sf{4^{\frac{3}{4} }} \times \sf{4^{\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]

[tex]\sf{4^{\frac{3}{4} +\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]

Cancel same bases.

[tex]\sf \frac{3}{4} +\frac{1}{2} x=\frac{4}{5}[/tex]

Subtract 3/4 from both sides.

[tex]\sf \frac{1}{2} x=\frac{1}{20}[/tex]

Multiply both sides by 2.

[tex]\sf x=\frac{1}{10}[/tex]

Step-by-step explanation:

2^{2*3/4} × 2^{x}=2^{4×2/5}

2^{3/2} × 2^{x}= 2^{8/5}

2^{3/2+x}=2^{8/5}

equate powers

{3+2x}/2= 2^2

5{3+2x}= 2{8}

15+10x=16

collect like terms

10x=16-15

10x=1

divide both sides by 10

x=1/10

x=0.1

Answer:

[tex]\boxed{\sf 43.35 \ cm}[/tex]

Step-by-step explanation:

Apply formula for the circumference of a circle.

[tex]\sf C=\pi d[/tex]

The diameter [tex]\sf d[/tex] is 13.8 cm.

[tex]\sf C=\pi (13.8)[/tex]

[tex]\sf C= 43.3539786195...[/tex]

[tex]\sf{C} \approx \sf{43.35}[/tex]

Answer:

43.4 cm

Step-by-step explanation:

Circumference of the circle = 2πr

r = radius, π = [tex]\frac{22}{7}[/tex]

f = diameter÷2

 =13.8 ÷ 2

 = 6.9

circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]

                        = [tex]\frac{303.6}{7}[/tex]

                        = 43.37 cm or 43.4 cm

Answer:

A

Step-by-step explanation:

Kenny scored 13 points, and Micheal scored p points.  They scored a total of 27 points.  This means that 27 is the sum of their scores.  The answer is A.

13 + p = 27

Answer:

It’s b or it’s 13+p=27

Step-by-step explanation:

Answer:

48cm²

Step-by-step explanation:

PQ=(24-5-5)/2=7

This means PR is 14 and US is 10.

The height of the parallelogram is base times height, so 28/7=4

Now we just look at it as one big parallelogram.

4(14+10)/2=48 cm²

Answer:

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Step-by-step explanation:

As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.

Given:

Height of cylinder, [tex]h_1[/tex] = 15 cm

Diameter of cylinder/ cone, D = 26 cm

Slant height of cone, l = 20 cm

Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]

Here,

[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]

To find the Height of Cylinder, we can use the following formula:

[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]

Now, putting the values to find the volume of container:

[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]

Converting [tex]cm^{3 }[/tex] to litres:

[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Answer:

<

Step-by-step explanation:

Answer:

$1280000

Step-by-step explanation:

Given that :

John has a life insurance policy that will pay his family $32,000 per year if he dies

If interest rates are at 2.5% when the insurance company has to pay

The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.

i.e

the amount of the lump sum = $32000/2.5%

the amount of the lump sum = $32000/0.025

the amount of the lump sum = $1280000

Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

Answer:

The answer is 13.

Step-by-step explanation:

here, ( 4x+ 22x)/2x

taking 2x common we get, 2x(2+11)/2x

=13 ..... is answer ( as 2x gets cancelled)

Hope it helps..

Answer:

The correct option is;

We cannot infer a cause and effect relationship because we do not have a control group

Step-by-step explanation:

The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.

Given that the researchers gathered data from a random sample of drivers and measurement of several variables  including the explanatory  variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group

Answer:

O B. 17 units

Step-by-step explanation:

The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:

[tex]AB=\frac{AC}{2}\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units[/tex]

The length of the chord is 17 units.

Answer:

The answer is 17 units :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

can you at least telllus what is in the drop box

D. The line is perpendicular to the plane determined by the two lines.

Remember how you get to 3D space?

You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.

Hope this helps.