The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km

Mark the position of the fishing boat F with a cross

Answer:

C is my answer

Answer:

D ∠U=106°

Step-by-step explanation:

∠TRS=∠RTU=31 (corresponding angles)

Since all angles in a triangle add up to 180:

∠TRS+∠RTS+∠RST=180

31+(4x-5)+(7x+22)=180

48+11x=180

11x=132

x=12

∠RST=7x+22=7(12)+22=84+22=106

∠RST=∠U (opposite angles in a rhombus are equal)

∠U=106°

Answer:

cylinder

Step-by-step explanation:

Answer:

a

c

b

i think those are right hope im not wrong good luck

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

Answer:

95.3

Step-by-step explanation:

Answer:

25 is the area because5 times 5 equals 25

Step-by-step explanation:

hope this helps

Answer:

25

Step-by-step explanation:

Answer:

the 2 numbers are 12 and -9

Step-by-step explanation:

x + y = 3

x - y = 21    Adding:-

2x = 24

x = 12

y = 3 - x = 3  12 = -9

Answer the 2 numbers are 12 and -9

Answer:

The numbers are 12 and - 9.

Step-by-step explanation:

12 - 9 = 3

- 9 to 12 is 21

Answer:

96 square tiles can be paved on a rectangular floor.

Step-by-step explanation:

First, we need to find the area of the square tiles:

[tex]A_{t} = (25 cm)^{2} = 625 cm^{2}[/tex]

Now, the area of the rectangular floor is:

[tex] A_{f} = 3m*2m = 6 m^{2}*\frac{(100 cm)^{2}}{1 m^{2}} = 60000 cm^{2} [/tex]

Finally, the number of square tiles which can be paved on a rectangular floor is:

[tex] N = \frac{A_{f}}{A_{t}} = \frac{60000 cm^{2}}{625 cm^{2}} = 96 [/tex]

Therefore, 96 square tiles can be paved on a rectangular floor.

I hope it helps you!  

Answer:

C

Step-by-step explanation:

If you need the explanation tell me

:D

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.

Answer:

x=29

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

We know this is a right triangle, so the third angle is 90deg, leaving us with 90deg for the other two.

(2x-2) + (x+5) = 90

3x + 3 = 90

3x = 87

x = 29

Answer:

here u go ...just do it and try to understand who I did it

Answer:

A beacuse why not ya knoe

Answer:

O.K.A.Y

Step-by-step explanation:

The volume of a cuboid is 420cm3.

The length is 10cm and the width is 7cm.

Work out the height of the cuboid.

Answer:

c. 12/4 = l/8

please follow me

Answer:

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Step-by-step explanation:

Let Y be the no. of infections

The number of students who have been exposed to whooping cough is as follows:

n = 1400

n = 1400  and p = 0.8

nm = 1400 x 0.8

nm = 1120

n(1-m) = 1400 x (1-0.8)

n(1-m) = 280

Here,

Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.

The mean and standard deviation of number of new infections is:

u = np

u =1400 x 0.8

u = 1120 = mean

SD = Standard Deviation  

SD = [tex]\sqrt{1120(1-0.8)}[/tex]

SD = 14.966

The number of infections is distributed in an approximately normal way

N(1120,14.966)

75% of 1400 means 0.75  x 1400 = 1050

So,

Probability required.

P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5)    (Continuity Correction)

P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])

P (Y[tex]\geq[/tex] 1050) =  P(Z [tex]\geq[/tex] -4.71)

P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)

Using the z table:

P (Y[tex]\geq[/tex] 1050) ≈ 1

Hence,

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Answer:

22

Step-by-step explanation:

tbh I just plugged it in my calculator c:

hope this helped tho!!

Answer:

$63

Step-by-step explanation:

Answer:

$63

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18

Answer:

8

Step-by-step explanation:

10+6=18; 8+8=16

Answer:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

[tex]V = l * b * h[/tex]

Make h the subject of the formula

[tex]h = \frac{V}{lb}[/tex]

The surface area (S) of the aquarium is:

[tex]S = lb + 2(lh + bh)[/tex]

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]

[tex]C = 7lb + 2(lh + bh)[/tex]

[tex]C = 7lb + 2h(l + b)[/tex]

Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation

[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]

Differentiate with respect to l and with respect to b

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]

[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]

[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]

By comparison:

[tex]l =b[/tex]

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes

[tex]7l - \frac{2V}{l^2}=0[/tex]

[tex]7l = \frac{2V}{l^2}[/tex]

Cross Multiply

[tex]7l^3 = 2V[/tex]

Solve for l

[tex]l^3 = \frac{2V}{7}[/tex]

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]

Recall that: [tex]l =b[/tex]

[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]

Also recall that:

[tex]h = \frac{V}{lb}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]

Apply law of indices

[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]

[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

The dimension that minimizes the cost of material of the aquarium is:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Answer:

[tex](0.4x + 6y)^2[/tex]

Step-by-step explanation:

Given

[tex]4.8xy+36y^2+0.16x^2[/tex]

Required

Express as a binomial squared

[tex]4.8xy+36y^2+0.16x^2[/tex]

Rewrite as:

[tex]0.16x^2+4.8xy+36y^2[/tex]

Expand

[tex]0.16x^2 + 2.4xy + 2.4xy + 36y^2[/tex]

Factorize:

[tex]0.4x(0.4x + 6y) + 6y(0.4x + 6y)[/tex]

Factor out 0.4x + 6y

[tex](0.4x + 6y)(0.4x + 6y)[/tex]

Express as a square:

[tex](0.4x + 6y)^2[/tex]

Answer:

b) use a two-sided test instead of a one sided test.

Step-by-step explanation:

If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.

2(x + 7) + 3(x + 1) =

= 2x + 14 + 3x + 3 = 5x + 17

Answer:

105

Step-by-step explanation:

The sum of a quadrilateral's angles is always equal to 360

360 - 60 - 115 - 80 = 105

Hope this helps :)

Answer:

Number of cars 16 profit-30

The cost: $14.25

Equation: 24.5=2c-4

The cost of each lunch is $10.25.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given;

Mariko and her friend spent $24.50 on lunch.

Their lunches cost the same amount,

and they used a $4 off coupon.

That means,

they spent = 24.5 - 4

= 20.50

And 20.50 divided by 2,

we get,

20.50/2

= 10.25

Therefore, $10.25 is the cost of each lunch.

To learn more about the division;

https://brainly.com/question/13263114

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The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.

Let 'x' be the number of pages to be read. Then the equation is given as,

x + 73 + 89 = 295

More about the Algebra link is given below.

https://brainly.com/question/953809

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