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Answer:1) In Δ FGH,

FH=7 ft, FG=12 ft,

∠F=70 degrees

By "Law of cosines":

So,By applying Law of Sines , we get that

Hence, Option 'D' is correct.

2) In Δ XYZ,

XY=14, ∠Y=22°, and XZ=26

By using "Law of sines":

so, X = 147° , Y = 22° , Z = 11.6°

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

The value goes down by around 2,000 every year and 4,00 is the closest answer of any of them.

Answer:

there are 3000 meters in 3 kilometres

Answer:

C. 3,000 m

Step-by-step explanation:

There are 1,000 meters in one kilometer, so 3 times 1,000. This gets you 3,000.

Answer:

[tex] \rule{40pt}{99999pt}[/tex][tex] \rule{40pt}{99999pt}[/tex]

Answer:

D , F and G

Step-by-step explanation:

D, F and G are true in this case

Answer:

(8*d)-14 8/9

Step-by-step explanation:

14 8/9 less than means: -14 8/9

product of 8 and a number d means: 8*d

It says 14 8/9 less than the product meaning the multiplying must be done first: (8*d)-14 8/9

This all comes down to order of the equation, and logic to understand meanings of phrases.

Answer:

C. 4

Step-by-step explanation:

the slope is always the factor of x.

Answer:

1.91, 1.92, 1.93

Step-by-step explanation:

They are all between 1.9 and 2

We can represent the pattern by a general sequence:

u(n+1)=8n+2

u(1)=8(10)+2

u(1)=82

u(2)=8(82)+2

u(2)=658

....

Answer:

10:82:658:5266:42130

The height of the container that will be able to minimize the cost will be 3.08cm.

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

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Answer:

I hope it helps you

Answer:

[tex]\displaystyle 5x + 6y = 72\:or\:y = -\frac{5}{6}x + 12[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:

[tex]\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}[/tex]

To write this in Linear Standard Form, perfourm he following:

y = −⅚x + 12

+ ⅚x + ⅚x

___________

⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]

6[⅚x + y = 12]

[tex]\displaystyle \boxed{5x + 6y = 72}[/tex]

I am joyous to assist you at any time.

Answer:

3. 7kg

4. 100kg

5. 13kg more

6. $64

7. 200kg

The pounds of food that Sand Hill Crane Elementary  needs to collect more in order to reach their goal is 1202 pounds.

The first step is to convert tons to pounds.

1 ton = 2000 pounds

2 tons x 2000 = 4000 pounds.

The second step is to subtract the pounds of food collected so far from the goal.

4000 - 2798 = 1202 pounds.

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Answer:

1. 5/(2+2)= 5/4= 1.25

2. 5/(2x2)= 5/4= 1.25

Step-by-step explanation:

3x5/12= 15/12= 1.25

Answer:

x times square then subtract

Answer:

Step-by-step explanation:

The graph of the linear equation cuts the x-axis at (5,0)

Answer:

c. 1 1/2 hours

Step-by-step explanation:

6 hours / 4 games = 1 1/2 hours per game

Another way to think of it:

1 hour = 60 minutes

6 hours = 6 hours x 60 minutes per hour = 360 minutes

360 minutes / 4 games = 90 minutes per game

90 minutes per game / 60 minutes per hour = 1.5 hours

1.5 hours is the same as 1 1/2 hours

So, the answer is c. 1 1/2 hours

Answer:

-19

Step-by-step explanation:

The sequence is going down by 4

Answer:

Step-by-step explanation:

A number decreased by 16 is − 3

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Answer: 6cm.

Step-by-step explanation:

Strategy 1 (in-head thinking)

300 divided by 50 would be 6, multiply 6 by 1 and get 6cm.

Strategy 2 (proportions)

First, set up a proportion.

We know that 1cm = 50km, so we put them on a fraction (whichever is denominator/numerator doesn’t affect the process)

However, we don’t know how much cm equals 300km, so we turn that into a variable, in this case x.

1cm       x cm

———   ———

50km  300km

To solve a proportion, go diagonal to where the variables have already been filled in. You can’t so 50km and x cm, as you don’t know x. You can do 300km however. To start, multiply 1 and 300, to which you get 300. Then, multiply 300 by the 50km and you’ll get x. That’ll equal to 6.

So in conclusion, your answer is 6.

Answer:

10.6 oz

Step-by-step explanation:

X × 0.25 = 0.265

x= 2.65/0.25= 10.6 oz

Given that

[tex]\vec A = xz^3 \, \vec\imath - 2x^2 y \, \vec\jmath + 2yz^4 \, \vec k[/tex]

its curl is

[tex]\displaystyle \nabla\times\vec A = \left(\frac{\partial\left(2yz^4\right)}{\partial y} - \frac{\partial\left(-2x^2y\right)}{\partial z}\right) \, \vec\imath - \left(\frac{\partial\left(2yz^4\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\frac{\partial\left(-2x^2y\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial y}\right) \, \vec k[/tex]

[tex]\nabla\times\vec A = 2z^4 \, \vec\imath + 3xz^2 \, \vec\jmath - 4xy \, \vec k[/tex]

so that at the point (1, -1, 1), the curl is

[tex]\nabla\times\vec A \bigg|_{(x,y,z)=(1,-1,1)} = \boxed{2 \, \vec\imath + 3 \, \vec\jmath + 4 \, \vec k}[/tex]

is there a picture

Please put one so i. can help

.

The angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

It should be noted that the image shows the shooting angles arrangements. Also, π = 180°.

In this case, the value of the angle will be:

= 12π/18

= (12 × 180) / 18

= 12 × 10

= 120°

Therefore. the angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

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[tex]v (total)= v(r \: p \: ) + v(c)[/tex]

[tex]v(t) = lwh + \pi {r}^{2} h[/tex]

[tex]v(t) =( 18 \times 10 \times 5 )+( 3.14 \times {5}^{2} \times 5) \\ [/tex]

[tex]v(t) = 900 + 392.50[/tex]

[tex]v(t) = 1292.50 \: \: \: {ft}^{3} [/tex]

Depth is also referred as height.

Volume of the rectangular part = l b h

= 18 × 10 × 5

= 900 ft³

Volume of two semi circular parts = 4 / 3 π r³

= 4 / 3 × 5 × 5 × 5 × π

= 523.8 ft³

Total Volume of the figure = 1423.8 ft³

Answer:

Step-by-step explanation:

Applying proportions, it is found that the discounted price of each console at store B is given by:

B. $210.80.

A proportion is a fraction of a total amount.

In this problem, at store B, 15 consoles sold for a total of $3,720, hence the price per console is of:

P = 3720/15 = $248.

A discount of 15% is applied, which means that the new price is 85% of the original price, hence:

P = 0.85 x 248 = $210.8.

Which means that option B is correct.

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Answer:

21

Step-by-step explanation:

think about it this way. if the first group takes 17 hours, and the second group takes 4 hours more than the first group, then how long does the second group take?