Use the measures of angle 4 and 7 to create
an equation and solve for x:
Equation:
X=
so Angle 4 =
degrees

Answer:

When dropped from 450 feet, the crate and medical supplies will not survive the impact

Step-by-step explanation:

The impact that the crate can withstand when dropped = 165 ft,/sec

The function for the height of the crate at 450 ft. = 450 - 16·t²

The time the crate will land after drop = 5.3 sec

Therefore, we have;

Velocity, V(t) = d(h)/dt

∴ v(t) = d(450 - 16·t²)/dt = -32·t

Given that the time the cate lands after drop, t = 5.3 seconds, we have;

The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6

The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)

Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.

Answer:

Step-by-step explanation:

to convert the fraction to percentage just multilpy the fraction will 100%

1/5

1/5*100%

100%/5

20%

12/100

3/25

0.12

or in division decimal point goes to the right side

12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.

1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.

To convert 1/5 to a percentage, we can multiply it by 100.

(1/5) * 100 = 20%

Therefore, 1/5 is equal to 20% when expressed as a percentage.

To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).

12 ÷ 100 = 0.12

Therefore, 12/100 is equal to 0.12 when expressed as a decimal.

When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.

When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.

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Answer:

The answer would be the third one, 3(x -2)=18

Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

f(3) = 3*f(2) + 3      We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

Answer:

20 and 40

Step-by-step explanation:

20 doubled is 40

The difference is 20

Hope this helps! :)

Answer:

20,20

(20 x 2) - 20 = 20

Step-by-step explanation:

2x=y

x-y=20

(20 x 2) - 20 = 20

Answer:

£460.80

Step-by-step explanation:

Do 12% x 4 years= 48%

Then 48% x 960= £460.80

Answer:

294(p)^7

Step-by-step explanation:

7(p)^2 x 3p x 14(p)^4

=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4

=> 21 x 14 x (p)^(2+1+4)

=> 294(p)^7

Answer:

(-5) + 8 + (-5) = -2

Step-by-step explanation:

The first point is 5 points to the left of 0, or -5

Next, it goes right 8 units (+8) and lands on 3

THen it goes back 5 units (-5) and lands on -2

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

[tex]A=2x^2+8x+6\ yards^2[/tex]

Step-by-step explanation:

Step 1, finding the dimensions:

The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)

Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:

Length: [tex]2x+2[/tex]

Width: [tex]x+3[/tex]

Great! Let's find the area now.

Step 2, finding the area:

The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:

[tex]A=(2x+2)(x+3)[/tex]

We can expand and simplify:

[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

C and E

Step-by-step explanation:

The one on the left in the tens place, is ten times more than the one on the right

Answer:

Step-by-step explanation:

a=4 square units

b=9 square units

sqrt (4+9)

(sqrt(13))^2

c= 13 square units

Answer:

-13.04.

Step-by-step explanation:

12 students

Step-by-step explanation:

40 % ×30 students = 1200 ÷ 100% =12students

The domain of the function represented by the graph is x ≥ 0

The function is represented by the graph of the function

From the given graph, we have the following observations

This means that the function has a domain of all set of real values greater than or equal to 0

This is represented as

x ≥ 0

So, the domain is x ≥ 0

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Step-by-step explanation:

5x-6+7x+18=180

12x=180+6-18

12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

Answer and Step-by-step explanation:

To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.

S > 108

So, S is greater than 108.

#teamtrees #PAW (Plant And Water)

Answer:

A

Step-by-step explanation:

Answer:

[tex]m\angle Y=30^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]

Answer:

576 FT^3

243 m^3

95 cm^3

400 cm^3

150 m^3

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length base x height)

Volume of a prism= ( length base x height)

1. prism = 192 x 3 = 576 FT^3

2. prism = 729 / 3 = 243 ft^3

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

3. cone = 285/3 = 95

5. cylinder = 50 x 3 = 150

4. sphere = 600 / 1.5 = 400

Answer:

See below.

Step-by-step explanation:

40 + 15x = 30 + 19x

15x - 19x = 30 - 40

-4x = -10

x = 2.5

Two and a half hours.

The first plumber and the second plumber charge the same total amount for 2.5 hours of work.

Two or more expressions with an Equal sign is called as Equation.

The number of hours worked by both plumbers is "h". Then the total amount charged by the first plumber is:

Total cost for the first plumber = 40 + 15h

And, the total amount charged by the second plumber is:

Total cost for the second plumber = 30 + 19h

To find the number of hours for which both plumbers charge the same total amount, we need to solve the equation:

40 + 15h = 30 + 19h

4h = 10

h = 2.5

Therefore, the first plumber and the second plumber charge the same total amount for 2.5 hours of work.

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Answer:

Step-by-step explanation:

If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:

180 - 114 = 66

Divide that in half so R = S = 33 degrees each

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

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Answer:

Step-by-step explanation:

The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.

That's the isosceles right triangle, one of the two cliche triangles students are expected to learn.  The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.

So v= 3√2  (the two legs are equal) and hypotenuse u = √2 × v = 6.

Answer: C

Answer:

83 m

Step-by-step explanation:

23.6 x 3.5 = 82.6 ≈ 83 m

Answer:

604.4 cm²

Step-by-step explanation:

Surface area of a cone = πr(r + √h² + r²)

π = 3.14

r = diameter/2 = 13.4 cm/2 = 6.7 cm

h = 21 cm

Surface area of a cone = πr(r + √h² + r²)

= 3.14 * 6.7(6.7 + √21² + 6.7²)

= 21.038(6.7 + √441 + 44.89)

= 21.038(6.7 + √485.89)

= 21.038(6.7 + 22.04)

= 21.028(28.74)

= 604.3 cm²

Surface area of a cone = 604.4 cm²