Please answer this question now

Answer:

(B) has the closest values.

Step-by-step explanation:

Solve the triangle: A = 51°, b = 14, c = 6

A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9

B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9

C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9

Using the cosine rule,

a^2 = b^2+c^2-2bc (cos(A))

= 196+36 - 2(14)(6)cos(51)

=  196+36 - 105.72

= 126.27

a = sqrt(126.27)

= 11.24

using sine rule,

sin(C)/sin(A) = 6/11.24

sin(C) = 6/11.24*sin(51)= 0.41495

C = arcsin(0.41495 = 24.5 degrees, reasonably close to the given value, probably due to the answer used the rounded value of a.

B = 180-51-24.5 =104.5

Out of the given options, only (B) has the correct value of a and C

Answer:

-10 & -40

Step-by-step explanation:

the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.

Answer:

-10 and - 40

Step-by-step explanation:

If 30 is subtracted.

30×6= 180

200-180=20

20-30= - 10

-10-30= - 40.

.:the first two numbers less than zero are. - 10 AND - 40

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

Answer:

[tex]\boxed{(8,11)}[/tex]

Step-by-step explanation:

Given the point (8,7)

This means when x = 8, the output is 7 . So, f(8) = 7

So, the new function will be:

=> f(8) + 4

=> 7 + 4

=> 11

So, the corresponding point for the function f(x)+4  is ( 8, 11 )

Answer:

3300cm²

Step-by-step explanation:

30cm+30cm=60cm 60cm is the lengh of the whole joint structure.We will put it in the equation as "a".

heigh stays the same(10cm) because the pieces are not stacked one on top of the other.They are joined on their sides.We will put it as "c".

Widht also stays the same.its 15 cm and we will put it as letter "b".

So

a=60cm

b=15cm

c=10cm

We need to calculate the surface area of the entire joint structure.

1.First thing to do is to calculate the top part which is:

a*b=15*60=900cm²

2.The bootom side is the same 900cm².

3.The front side is:

a*c=60*10=600cm²

4.The back side is the same as front so it is 600cm².

5.The left side is:

c*b=10*15=150cm²

6.The right side is the same as the left and it is 150cm²

Now we just add it up.

S(surface)=900*2+600*2+150*2=3300cm²

If you want the whole exercise in one equation:

S=2*(a*b)+2*(a*c)+2*(b*c)

Answer:

A) 0.40

Step-by-step explanation:

5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.

Relative frequency of heads coming up is 0.40

Given,

Flipping of coin 5 times .

Here,

The probability of head and tail coming in a single flip of coin is equal .

P(H) = P(T) = 1/2

Thus there are equal number of chances for head and tail .

Here,

Two heads are coming in the flip of five times .

So,

Two heads will be coming up as

0.20 * 2

= 0.40

Know more about probability,

https://brainly.com/question/31828911

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Answer:

i think it is true

Step-by-step explanation:

Answer:

we have to add (-b) to get (a)

Step-by-step explanation:

a+b+(-b)=a

a+b-b=a

a=a

Hence verified.

Hope this helps you. Have a nice day^_^

Answer:

5,310.

Step-by-step explanation:

Answer:

3690

Step-by-step explanation:

Simplify 18% to 0.18

4500-(4500×0.18)

4500-810

=3690

Answer:

I'm not so sure but i guess it's option D y=5x-3

the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

[tex] 56 = \frac{1}{2}(AB + 40) [/tex]

Solve for AB

[tex] 56 = \frac{AB + 40}{2} [/tex]

Multiply both sides by 2

[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]

[tex] 112 = AB + 40 [/tex]

Subtract both sides by 40

[tex] 112 - 40 = AB + 40 - 40 [/tex]

[tex] 72 = AB [/tex]

Arc AB = 72°

Answer:

2/5 ±i4/5sqrt(6)= t

Step-by-step explanation:

20= 4t -5t^2

Rewriting

20 = -5t^2 +4t

Divide by -5

20 = -5t^2 +4t

20/-5 = -5/-5t^2 +4/-5t

-4 = t^2 -4/5 t

Complete the square

Take the coefficient of t

-4/5

Divide by 2

-4/10 = -2/5

Square it

(-2/5)^2 = 4/25

Add to each side

-4 +4/25 = t^2 -4/5 t + 4/25

-100/25+4/25 = ( t-2/5)^2

-96/25 = ( t-2/5)^2

Take the square root of each side

sqrt(-96/25) = sqrt(( t-2/5)^2)

±isqrt(96/25)=( t-2/5)

±i4/5sqrt(6)=( t-2/5)

Add 2/5 to each side

2/5 ±i4/5sqrt(6)= t

Answer:

A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.  

Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.  

Correlation always lies between -1 and +1.

If between-1 and 0 we say there is a negative correlation.

If nearer to 1 than to 0 then we say strong correlation

Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.

Hence we see that Graph C shows almost linear relationship with slope positive

So option C is answer

Answer:-

[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]

Explanation:-

We know distance formula

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

[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]

Answer:

Area = 13.5 cm^2

Step-by-step explanation:

When we know 2 sides and the included angle

the area is  =(½)ab sin C

where a and b are the side lengths and C is the angle between them

Area = 1/2 ( 13*7) sin 38

Area = 13.48477

Rounding to the nearest tenth

Area = 13.5 cm^2

Answer:

2.35 x 10^11

Step-by-step explanation:

The formula for finding the nth term in a geometric sequence is ar^n-1.

a = 3, r = 23, and n = 9:

3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.

Answer:

(5,3) and (5,9)

Step-by-step explanation:

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

Answer:

t(10) = 15

Step-by-step explanation:

5 - (-3)/ 5 - 1

= 2

t(n) = t1 + (n - 1)(d)

t(10) = -3 + (10 - 1)(2)

t(10) = -3 + (9)(2)

t(10) = -3 + 18

t(10) = 15

Answer:

A.       (-4,8) and (2,-4)

Step-by-step explanation:

Because you already have a value for "y" you can plug in that value of "y" into the next equation and then solve for Y and X

Answer:

2.23kg

Step-by-step explanation:

If you can get 1 kg for $4.50. You can perform a ratio to find out how much you get for $10.

1/4.50=x/10

.2222222=x/10

multiply the 10 on both sides

x=2.23 kg for $10

Answer:

option d. is the correct answer

Answer:

1≤f(x)≤5

Step-by-step explanation:

-1≤x≤1

-2≤2x≤2 (Multiplied by 2 both side)

-2+3≤2x+3≤2+3 (Adding three both sides)

1≤f(x)≤5

Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]

[tex]y=k(xz)[/tex]      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]

Required equation: [tex]y=2(xz)[/tex]  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]

Hence, when x=2 and z = 1, then the value of y =4.

Answer:

19/25

Step-by-step explanation:

Answer:

13 mi

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +12^2 = c^2

25+144 = c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Answer:

Below

Step-by-step explanation:

To find the volume of a sphere you can use this formula!

     V = 4/3πr^3

Plugging in the values....

V = 4/3π(49.5)^3

V = 5.08047 × 10^5

V = 5.1 x 10^5 in^3

If you wanted to write this is standard form it would be

V = 508047 in^3

Hope this helps!

Answer:

4/49

Step-by-step explanation:

7-5 = 2

2/7*2/7 = 4/49

Answer:

4/49

Step-by-step explanation:

[tex] \frac{ (\frac{2}{7})^{7} }{( \frac{2}{7} )^{5} } = ({ \frac{2}{7} )}^{7 - 5} \\ = ( \frac{2}{7})^{2} \\ = \frac{4}{49} [/tex]

Answer:

[tex]T.S.A = \pi r(r+l)\\l = 10mm\\r = 7mm\\\\T.S.A = 3.14 \times 7(7 + 10)\\= 21.98(17)\\T.S.A = 373.66\\\\T.S.A = 373.66[/tex]

Answer:

362

(8

10-7) - (-6.25 • 10-2)

Answer:

Fill up the .3 container and then pour it into the .5

fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.

stop when the .5 is totally full... only .3 will fit... the liquid left in  the .3 will be .1

Step-by-step explanation: