Find the number of digits in the square root of 61504.

Answer:

[tex]|JK|=3\sqrt{3}[/tex]

Step-by-step explanation:

The diagram of the triangle is drawn and attached,

From trigonometric ratios,

[tex]cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}[/tex]

Answer:

the proof is in the picture

Step-by-step explanation:

Answer:

Height Length: ( About ) 3.3 yards; Option B

Step-by-step explanation:

~ We are given the Area of this triangle, so let us apply the area of a triangle formula 1/2 * base * height ~

The base is known the be 4.1 yards, the Area 6.8 yards^2, so let us substitute these values into the formula for a triangle as to solve for height. At the same time let us declare x ⇒ height of the triangle:

6.8 = 1/2 * 4.1 * x,

6.8 = 2.05 * x,

x = 6.8/2.05,

Height Length: ( About ) 3.3 yards

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

Step-by-step explanation:

let's reffer to:

gumbo (x)

raspberry (y) so,

8x + 9y =14. 3 (1)

6x + 3y = 8.1 (2)

devide (2) by 3

2x + y = 2.7

y = 2.7 - 2x (3)

substitute 3 in 1

8x + 9(2.7 - 2x) = 14.3

8x + 24.3 - 18x = 14.3

10 x = 10

x = 1 (ANS)

and y = 0.7 (ANS)

Answer:

Hello There the correct answer to this is The first one is 1029.6 Because you need to multiply 8 x 9 then it will be 72 and then multiply 72 x 14.30 it will be 1029.6 it will the same the Second one is 145.8 Because you you need to multiply the first one multiply 6 x 3 which that 18 the multiply 18 x 8.10 which that will be 145.8 SO both of these answer are the same.

Hope It Helps!

ItsNobody

Answer:

x∈R

Step-by-step explanation:

[tex]y=2^{x}[/tex]

2>0

The domain is all real numbers.

x∈R

Answer:

It can be both rational and irrational.

Step-by-step explanation:

Answer:

18/95

Step-by-step explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names.  So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.

Answer:

B

Step-by-step explanation:

Since all of the x- coordinates are below -4

Answer:

a triangular pyramid when sliced parallel to its base

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

  3x^2 + 16x + 5

= (3x^2 + 15x) + (x + 5)

= 3x(x + 5) + (x + 5)

= (3x + 1)(x + 5)

Hope this helps!

:)

Answer:

Step-by-step explanation:

Find the median of the first and third quartiles

81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 92

50, 55, 59, 69, 79, 81, 90,   92,     92, 95, 97, 116, 122, 125, 183.

The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69

The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.

The interquartile range is the difference between the median of both the first and third quartile:  which is 116 - 69 = 47.

There are no outliers in this set of data

Answer:

x = −y+45

Step-by-step explanation:

Step 1: Add -2y to both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 2.

Answer:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Step-by-step explanation:

Information given

[tex]\bar X=931[/tex] represent the sample mean

[tex]\sigma=333[/tex] represent the population standard deviation

[tex]n=30[/tex] sample size  

[tex]\mu_o =1131[/tex] represent the value to check

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true mean is less than 1131, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 1131[/tex]  

Alternative hypothesis:[tex]\mu <1131[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Reaplacing we got:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Answer:

b= -9

Step-by-step explanation:

Plug in -9 for b.

3= -9+12

Solve.

3=3

Since both sides are equal, the answer is -9

I hope this helped you ;)

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

Answer:

|x|=3, |-x|=3 and - |x|=-3

Step-by-step explanation:

May I please have Brainliest?

Stay safe!!!!!!!!!!!!

Answer:

What he said hope this helps

Step-by-step explanation:

Answer: H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

Step-by-step explanation:

We can use a trigonometric function to model this, let's use:

H = A*cos(w*t) +

where A is a constant, w is the frequency, t is time, and h is of the wheel, this is half the diameter plus the distance above the ground:

30ft + 8ft = 38ft.

A is equal to the radius of the wheel, or half the diameter, A = 60ft/2 = 30ft.

we know that the period is 48 seconds, this means that:

cos(w*0) = cos(w*48s) = 1

then w*48s = 2*pi

w = 2*pi/48s

so now function is:

H = 30ft*cos(2*pi*t/48s) + 38ft.

But we also know that, at t= 0, you must be at the bottom of the wheel, so we must ad a phase of pi to the cosine function

H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

So now when t = 0, we have:

H(0) = 30ft*cos(0 + pi) + 38ft. = 8ft.

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex] is the obtained equation below model your height above the ground as a function of time.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

A is a constant,

ω is the frequency

t is the passage of time

h is the wheel's height,

d is the diameter

h = d/2

The equation for the SHM is found as;

y = Acosωt

For the given condition the equation is written as;

H = Acosωt

The distance above the ground;

30ft + 8ft = 38ft.

⇒cos(ωt)

⇒cos(w × 48) = 1

⇒ω×48s = 2π

⇒w = 2π/48s

The obtained function is;

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex]

We must add a phase of π to the cosine function since we also know that at time t=0, you must be at the bottom of the wheel.

So now when t = 0, we have:

[tex]\rm H(0) = 30ft\times cos(0 + \pi) + 38ft.\\\\\ H(0) = 8 \ ft.[/tex]

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ5

Answer:

The volume of sphere is 524 in³ .

Step-by-step explanation:

By substituing the radius into the formula :

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Let r = 5,

[tex]v = \frac{4}{3} \times \pi \times {5}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times 125[/tex]

[tex]v = \frac{500}{3} \pi[/tex]

[tex]v = 524 \: {inches}^{3} (3s.f)[/tex]

Answer:

The first person who answered this is wrong. It's 500/3 in.3

Step-by-step explanation

Did it on Edge.

Answer:

1. Add 5 to both sides

2. Divide both sides by 2

3. Take the square root of both sides

4. Subtract 2 from both sides

Step-by-step explanation:

2(x+2)²-5=93

Add 5 to both sides

2(x+2)²=98

Divide both sides by 2

(x+2)²=49

Square root both sides

x+2=7

Subtract 2 from both sides

x=5

Answer:

Let's solve the equation. To do this, we have to get x by itself. Perform the opposite of what is being done to the equation.

1. Add 5 to both sides, since 5 is being subtracted

2(x+2)^2-5=93

2(x+2)^2-5+5=93+5

2(x+2)^2=93+5

2(x+2)^2=98

2. Divide both sides by 2, since 2 is being multiplied

2(x+2)^2=98

2(x+2)^2/2=98/2

(x+2)^2=49

3. Take the square root of both sides, since x+2 is being squared

(x+2)^2=49

√(x+2)^2=√49

x+2=√49

x+2=7

4. Subtract 2 from both sides since 2 is being added

x+2=7

x+2-2=7-2

x=7-2

x=5

Answer:

1.2

Step-by-step explanation:

5*1.2=6

Answer: .9

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

All possible outcomes when flipping two coins are HH, HT, TH, and TT, where H is heads and T is tails. Of these 4 outcomes, 2 make you win and 2 make your friend win. Because you and your friend are equally likely to win the game, it is a far game. Hope this helps!

Answer:

yes it is a fair game

Step-by-step explanation:

..........,,,...............

Answer:

the answer is 7

Step-by-step explanation:

7 plus 7 add 11 equals twenty five

Answer:

1) 2002

2) 92

Step-by-step explanation:

1)

First, you need to find the area of the triangular base. The height of the triangle is 7, and the base is 26, meaning that the area is 7*26/2=91. Multiplying this by the length of the prism, you get 2002 cubic meters.

2)

First, you need to find the area of the trapezoidal base. The two bases of the trapezoid have lengths 12 and 11, while the height is 8, meaning that the area is 8*(12+11)/2=92 cubic centimeters.

Hope this helps!

Answer:

-5/3

Step-by-step explanation:

Let x be the unknown number

2-x = 1/3

Subtract 2 from each side

2-x-2 = 1/3 -2

x = 1/3 -2

Get a common denominator

x = 1/3 - 2 *3/3

x = 1/3 -6/3

x = -5/3

Answer:

5/3

Step-by-step explanation:

2 - n = ⅓

n = 2 - ⅓

n = (2×3 - 1)/3

n = 5/3

Answer:

Step-by-step explanation:stanley chuppa mi colla

Answer:

55

Step-by-step explanation:

Take the number of people surveyed and multiply by the percent that liked documentaries

220 *25%

Change to decimal form

220 *.25

55

Answer:

The answer is 55. .

Step-by-step explanation:

First, you take 25% and turn it into a decimal (0.25). Then, multiply 220 by 0.25 (55). Since it’s only asking for the documentaries, the answer is just 55

Answer:

c is greater than or equal to -1.

Step-by-step explanation:

Subtract 3 from both sides, divide by 5.

I have attached the work to your problem below.

I hope this helps.

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Answer:

Your answer is b+2=8. Good day.

Step-by-step explanation:

Answer:

I believe b+2=8

Step-by-step explanation:

m=10

b=6

x=10