The length of a rectangle multilayered by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and the width.

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

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Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

Answer:

Sine Rule

[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Question 5

[tex]\sf \implies \dfrac{s}{sin(78)}=\dfrac{10}{sin(48)}[/tex]

[tex]\sf \implies s=\dfrac{10sin(78)}{sin(48)}[/tex]

[tex]\sf \implies s=13.16227426[/tex]

s = 13.2 (nearest tenth)

Question 6

[tex]\sf \implies \dfrac{x}{sin(53)}=\dfrac{6}{sin(22)}[/tex]

[tex]\sf \implies x=\dfrac{6sin(53)}{sin(22)}[/tex]

[tex]\sf \implies x=12.79158761[/tex]

x = 12.8 (nearest tenth)

The area of the circle formula --> [tex]\pi r^2[/tex]

            Length of radius is half of diameter which is 14km long

        [tex]Area = \pi r^2=\pi (7km)^2=(49\pi )km^2=153.86km^2[/tex]  

Hope that helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Area of given circle ~

Area of circle is :

[tex] \qquad \tt  \dashrightarrow \: \pi{r}^{2} [/tex]

where, r = radius

Now, let's calculate it ~

[tex] \qquad \tt  \dashrightarrow \: a = \pi{}^{}×(7)² [/tex]

[tex] \qquad \tt  \dashrightarrow \: a = 49\pi{}^{}km² [/tex]

That's the answer I terms of π, but we can also plug in the appropriate value of pi as 3.14

[tex] \qquad \tt  \dashrightarrow \: a=49\times 3.14{}^{} [/tex]

[tex] \qquad \tt  \dashrightarrow \: a= 153.86 \: \: km²[/tex]

[tex] \qquad \tt  \dashrightarrow \: area \approx 154\: \: km²[/tex]

In short: y = 4(L)

0)

What is the greatest side length Sarah could make with 48 inches of yarn?

divide both sides by 4

→ the greatest side length she could make is 12 inch.

1)

Inches on one side       ||   2     ||    3    ||     4      ||     5      ||   6

Inches of yarn needed ||   8     ||   12    ||   16     ||    20      ||   24

2)

pattern:

Answer:

E. APR

I hope this is what u want because I didn't quite get it is it like name the angle as like acute or obtuse or what

Answer:

Step-by-step explanation:

Step 1:  Multiply the numerator

[tex](-8) * 2/3[/tex]

[tex](-8 * 2)/3[/tex]

[tex]-16/3[/tex]

Answer: [tex]-16/3[/tex]

Answer:

17/24 chance for white car

Step-by-step explanation:

We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.

1/6+1/8=?

Find the lowest common denominator (24)

4/24+3/24=7/24

Subtract it from 1

24/24-7/24=17/24

17/24 chance that it's white

Answer:

The first one i would think might be 0.05? uncertian and probably wrong, the second, HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, and the third, 3/8.

The way you figure out the third one is you are flipping 3 coins still, and you take all of the options above and there are 8 total and 3 ov them would land you 2 heads and a tail so its a simple 3/8 fraction

Answer:

2.  0.05

3. a) 8 outcomes (listed below)

3. b) 3/8

Step-by-step explanation:

Question 2

The sum of the probabilities of all possible outcomes is 1.

Therefore, if the probability of being on time for class is 0.95, then the probability of NOT being on time for class is:

1 - 0.95 = 0.05

Question 3

a)  8 possible outcomes of flipping 3 coins (H = heads, T = tails):

HHH     HHT     HTH     THH

TTT       TTH     THT      HTT

b)  

There are 3 possible ways of flipping 2 Heads and 1 Tail:

HHT    HTH     THH

Out of a total number of 8 possible outcomes.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\sf \implies P(2\:Heads\:and\:1\:Tail) = \dfrac38[/tex]

The Surface area of the whole cone is 4408.56 cm²

The Surface area of the tips that is removed is  376.8 cm²

The Surface area of the megaphone(hollow) is  2712.96 cm²

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Therefore,

Surface area of the whole cone = πr² + πrl

Therefore,

Surface area of the whole cone = πr(r + l)

where

Surface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²

Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²

Surface area of the megaphone(hollow) = πrl

Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²

learn more on surface area here: https://brainly.com/question/7410402

Answer:

Area=length×width

=12m×15m

=180m

so,the area is 180.

hope it helps!

The base of the ladder and the wall forms a right triangle

The horizontal distance between the base of the ladder and the wall is 9.3 feet

The given parametes are:

Angle = 69 degrees

Length of the ladder (l) = 26 feet

The horizontal distance (h) is calculated using the following cosine ratio

cos(θ) = h/l

Substitute known values

cos(69) = h/26

Make h the subject

h = 26 * cos(69)

Evaluate the product

h = 9.3

Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet

Read more about right triangles at:

https://brainly.com/question/2437195

Step-by-step explanation:

The amount of pizza Tina eat

[tex] = \frac{1}{4} \\ [/tex]

The amount of pizza Sam eat

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

The amount of pizza they eat together

[tex] = \frac{1}{2} + \frac{1}{4} \\ [/tex]

[tex] = \frac{1}{2} \times \frac{2}{2} + \frac{1}{4} \times \frac{1}{1} \\ [/tex]

[tex] = \frac{2}{4} + \frac{1}{4} \\ [/tex]

[tex] = \frac{2 + 1}{4} \\ [/tex]

[tex] = \frac{3}{4} \\ [/tex]

Answer:

103.87 ft.

In this case, area equals [tex]\pi r^2[/tex]

The diameter is [tex]2r[/tex]

But before worrying about anything else, we must start the problem. Let's do that now.

The first step is to find the broken-down form of the area.

A = [tex]\frac{1}{4} \pi d^2[/tex]

Next, break this equation into a solvable definition.

[tex]\frac{1}{4} * \pi * 11.5[/tex]

Lastly, solve this equation, and round.

[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]

The marginal product of labour is -6+K a and the marginal product of capital is 2K + 4 + L.

From the information given, the production process is Q = K² + 4K + 12 - 6L + KL.

The marginal product of labour will be the first derivative which will be:

= -6 + K.

The marginal product of capital will be the first derivative which will be:

= 2K + 4 + L

Learn more about marginal function on:

https://brainly.com/question/89128

Answer:

2

Step-by-step explanation:

because of your options

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Answer:

y = 3x + 20

This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.

Answer:

[tex]\sqrt{193}\\[/tex]

Step-by-step explanation:

Therom: A^2+B^2=C^2

12^2=144

7^2=49

144+49=193

√193 since we squared 12 and 7

Hope this helps you and please mark me brainliest!

Answer:

600.

Well, to divide these numbers, we can use certain strategy that fits with out logic. For example, we know that 56 divided by 7 can be done mentally, because it's a simple division that can be immediately solved.

So, 56 divided by 7 is 8, then we add the two zeros to the quotient, because we isolated the first to digit to make the division easier and then we have to add back those zeros.

Therefore the division results in 600.

There are several operations that can be done by using certain strategy, like separating the number in easier parts like we did this time.

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

Learn more about Angle bisector theorem here :

https://brainly.com/question/27261528

#SPJ2

Answer:

probability=events over the sample space

Step-by-step explanation:

Answer:

20 -- 300 words

25 -- 600 words

30 -- 900 words

35 -- 1200 words

40 -- 1500 words

50 -- 2100 words

3) 600 words

4) 2100 words

5)No because the formula only accounds for ages between 20 and 50 months.

Brainliest would be appreciated

Step-by-step explanation:

Answer:

259.15

Step-by-step explanation:

Using the z-distribution, it is found that the minimum sample size required is of 42,190.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.

As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]

[tex]n = 42189.16[/tex]

Rounding up, the minimum sample size required is of 42,190.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

B

Step-by-step explanation:

every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.

and Pythagoras is the best way to cancer the length of such a Hypotenuse.

AD² = 2² + 2² = 8

AD = sqrt(8)

AB = AD

BC² = 4² + 2² = 16 + 4 = 20

BC = sqrt(20)

CD = BC

so, the perimeter is

AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =

= 14.60112616... units ≈ 14.6 units

Answer:

34,407,615

Explanation : 34 millions 407 thousands 615

height = 10m

hope it helps...!!!

Answer:

domain is just all of the x values while range is all of the y values

so domian is

1,2,3,5,7,8

there are 2  5's but you only put 1

never put two of the same number for range or domain

Step-by-step explanation: