Please is for 30 points

Answer:

I believe the answer is 200 feet squared

Step-by-step explanation:

The measure of angle J is 19.8°, and the correct option is D.

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

[tex]\rm j^2 = h^2 + i^2 -2hicosC[/tex]

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

[tex]\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8[/tex]

Hence,  the measure of angle J is 19.8°, and the correct option is D.

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The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.

Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.

At the time of his investment, Verizon was selling for $47 a share.

If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.

[tex]\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19[/tex]

If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be

[tex]\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38[/tex]

Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be

[tex]\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68[/tex]

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12=1

4=3

11=4

3=2

0=3

13=3

2=2

6=1

10=2

9=1

Answer:

13.8

Step-by-step explanation:

Let us use tan theta to find the value of x.

tan Θ = Opposite ÷ Adjacent

Given that,

Opposite ⇒ 12

Let us solve it now.

tan Θ = Opposite ÷ Adjacent

tan 41 = 12 ÷ x

0.8692 = 12 ÷ x

x = 12 ÷ 0.8692

x = 13.80

x ≈ 13.8

Answer:

12

Step-by-step explanation:

Answer:

Dosage strength

250mg = 1.5mL

Answer:

When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is a 2 b 2 of the original area. Therefore, if the hexagon is dilated by a scale factor of , then the new perimeter is of the original perimeter.

Answer:

1st Part: Infinitely many solutions

2nd Part: Exactly one solution

3rd Part: No Solutions

Step-by-step explanation:

First Part: 4(x - 1) = 4x - 4

Distribute. 4x - 4 = 4x - 4

Because the equations are the same, any value can be substituted for x and both the equations' values would still be equivalent.

2nd Part:

x + 4 = 4(x + 1)

x + 4 = 4x + 4

Minus 4 both sides

x = 4x

Only 0 can make this equation true, meaning it only has ONE solution.

Third Part:

4x + 1 = 4(x - 1)

Distribute.

4x + 1 = 4x - 1

Subtract 4x both sides

1 = -1

Obviously, 1 and -1 are not equivalent, meaning there are no value that can be substituted for x to make this equation true.

first off, let's notice that "x" and "y" are encapsulating a function in terms of time or namely "t", and that dy/dt is decreasing at a rate of 3 cm/s, since the rate is decreasing, that makes the rate negative, thus is changing at -3 cm/s.

[tex]xy=12\implies \stackrel{product~rule}{\cfrac{dx}{dt}y~~ + ~~ x\cfrac{dy}{dt}}~~ = ~~0\implies \cfrac{dx}{dt}y~~ + ~~x(-3)~~ = ~~0 \\\\\\ \cfrac{dx}{dt}y=3x\implies \left. \cfrac{dx}{dt}=\cfrac{3x}{y} \right|_{(\stackrel{x}{4},\stackrel{y}{3})}\implies \cfrac{3(4)}{3}\implies 4[/tex]

Answer:

81

Step-by-step explanation:

Average | x = 81

Count | n = 5

Sum | Sum = 405

Solution:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 405 / 5

= 81

Answer:

:)

Step-by-step explanation:

For simplicity I will substitue [tex]x[/tex] for β.

[tex]1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1[/tex]

In the first step I used the identity

[tex]sin(2x)=2sin(x)cos(x)[/tex]

And I factored out [tex](cosx-sinx)^2[/tex]

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

[tex]cos^2(x)+sin^2(x)=1[/tex]

That's it!

Answer:

c : they will have both saved 97

Step-by-step explanation:

7*6 = 42 + 55(base) = 97

12*6 = 71 = 25(base) =97

Answer:

21.4 I think, I might be wrong though

Answer:

A,C and E

Step-by-step explanation:

For every 3ml of vinegar we have 8ml of oil

This implies that

For case (A):

80ml of oil with 30ml of vinegar

dividing the amount of vinegar by 3 and multiplying the result by 8 gives 80 I.e

[tex]8ml (oil)\alpha 3ml(vinegar) \\ \frac{30ml(vinegar)}{2} = 10 \\ multiplying \: by \: 8 \: gives \: 80ml(oil)[/tex]

hence that's it

Answer:

16 percent of times are between 6 and 22

Answer: c I think. Sorry I'm wrong. Might be a.

Step-by-step explanation:

Answer:

answer your own

brainliest me now

Answer:

(49,-56)

Step-by-step explanation:

I not sure but scale factor show the magnitude therefore you multiply by the scale factor to get the image.

Answer:

B

Step-by-step explanation:

The -2 reflects across the x -axis

The + 1   shifts it up one unit

Answer:

B. 8.35

Step-by-step explanation:

3.5 x 1.7 = 5.95

5.95 + 2.4 = 8.35

You multiply first because of PEMDAS.

P=parenthesis

E=exponents

M=multiply
D=divide
A=add
S=subtract

The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720

volume of a rectangular prism = lwh

where

Therefore,

l = 12 ft

w = 9 ft

h = 6 ft

volume of the foundation = 12 × 9 × 6

volume of the foundation = 648 ft³

Therefore, the contractor pays $180 per load for the trucks remove the dirt.

648 cubic feet = 24 cubic yard

6 cubic yards = 1 truck load

24 cubic yard =

cross multiply

number of truck load = 24 / 6 = 4 truck loads

Hence,

1 truck load = $180

4 truck load =?

cross multiply

cost = 4 × 180 = $720

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Answer:

10:25

Step-by-step explanation:

What do we know so far:

  *we converted the number of laps into improper fractions

        [tex]2\frac{2}{3} = \frac{8}{3}[/tex]

We want to know the number of laps in an hour

  ⇒ so we must find the rate which ⇒ lap/hour

   [tex]lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour[/tex]

So William can run ⇒ 10 laps in one hour

Hope that helps!

Answer:

24

Step-by-step explanation:

just MultiplMultiply 8 times 3 and 24