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lara [203]
3 years ago
12

Complementary angles If G= (6x-15)° and H= (3x+6)° find the x value and H

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

x = 11 and H = 39°

Step-by-step explanation:

Complementary angles add up to 90 degrees, so angles G and H will add up to 90 degrees.

Create an equation by adding the expressions together and setting it equal to 90.

(6x - 15) + (3x + 6) = 90

Solve for x by adding like terms first:

9x - 9 = 90

Isolate x and solve:

9x = 99

x = 11

Then, find H by plugging in 11 as x into the expression:

3x + 6

3(11) + 6

33 + 6

= 39

So, x = 11 and H = 39°

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Is this correct???????
Igoryamba

Yes the answer A is the correct inequality. Lmk if you want more detail.

4 0
3 years ago
A rocket is fired upward from some initial distance above the ground. Its height in​ feet, h,above the​ ground, t seconds after
kirill115 [55]
Check the picture below.

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h(t) = &{{ -16}}t^2&{{ +96}}t&{{ +2560}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

so.. the maximum point is at   \bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}~~~ft

and it happened after   \bf -\cfrac{{{ b}}}{2{{ a}}}~~~seconds

--------------------------------------------------------------------------

now, when the rocket reaches the ground, as you saw on the picture, y = 0, thus

\bf h(t)=-16t^2+96t+2560\implies 0=-16t^2+96t+2560
\\\\\\
0=-16(t^2-6t-160)\implies 0=t^2-6t-160
\\\\\\
0=(t-16)(t+10)\implies t=
\begin{cases}
\boxed{16}\\
-10
\end{cases}

"t" is an amount in seconds, for this specific phenomena, it cannot be negative, so -10 is not a feasible value.

8 0
3 years ago
Read 2 more answers
Use the graph that shows the solution f(x) = G (x)
Bingel [31]

Answer:

The correct options are A and C.

Step-by-step explanation:

The given functions are

F(x)=-\frac{3}{4}x^2+3x+1

G(x)=2^x

We have to find to solution for the equation

F(x)=G(x)

-\frac{3}{4}x^2+3x+1=2^x

The solution of the above equation is the intersection of F(x) and G(x).

From the graph it is noticed that both graph intersects each other at (0,1) and (2,4).

The x-coordinates of these points are the solutions of the given equation.

Therefore the solution of given equation are 0 and 2.

Therefore option A and C are correct.

7 0
3 years ago
Read 2 more answers
The charge to rent a car for a day is $ 16. There is an additional charge of $ 0.12 per mile. What is the greatest number of mil
spin [16.1K]

Answer: 200

Step-by-step explanation:

40-16= 24. 24/0.12= 200. 200•0.12=24+16=40

6 0
3 years ago
the perimeter of a rectangle is 210cm. the ratio of the width to the length is 3:4. what is the length of the rectangle?
sveta [45]

Answer:

length = 60 cm

Step-by-step explanation:

ratio of width : length = 3 : 4 = 3x : 4x

perimeter = (2 × width ) + (2 × length) = 6x +8x = 14x

now perimeter = 210, hence

14x = 210 ( divide both sides by 14 )

x = 15

hence length = 4 × 15 = 60 cm


4 0
4 years ago
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