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3 years ago

H = 4x and x= 3t write h in terms of t

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

7 0

Answer:

h = 12t

Step-by-step explanation:

Its given that x = 3t.

Also its given that h = 4x

Substituting the value of x gives =

h = 4(3t) = 4 × 3t = 12t

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

3 years ago

Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above

antiseptic1488 [7]

Answer:

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A and B occuring is 0 (because P(A∩B)= 0)

4 0

3 years ago

The area of a rectangle in 24 units. A diagonal drawn from one corner to another divides the rectangle into two right triangles.

nlexa [21]

Answer:

12 sq u

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, assuming the shaded triangle is one of those two triangles, its area would be 12 sq u.

Why? Because its length would be the same as the retances, as would its height, and to find the area of a triangle, you'd do L*H/2 which would be 24/2=12 sq u

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

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7 0

3 years ago

13 cm L 5 cm Calculate the perimeter

aksik [14]

Answer:

Step-by-step explanation:

permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer

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3 years ago

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Lyrx [107]

r = radius

Arc length = 2(3.14)r

7.9 cm = r

Plug our values in

Arc length = 2(3.14)(7.9 cm)

Arc length = 49.6 cm

4 0

4 years ago