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Zolol [24]
3 years ago
8

Solve for the missing side,x

Mathematics
2 answers:
WITCHER [35]3 years ago
5 0

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Zielflug [23.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
4 years ago
Translate the phrase into an expression: 11 more than one third of a number
skelet666 [1.2K]
1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.

We can represent 11 more as +11.
This, our expression is 1/3x+11

Hope this helps!
5 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0
3 years ago
WILL MARK BRAINLIEST!!! What is the exact value of tan(−3π4) ?
Hoochie [10]

Answer:

-12π

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Don't go by my answers pls
Illusion [34]

Answer:

19)  ( \frac{-2}{5})^2 = \frac{4}{25}

20) -9^{2} = -81

21)  2^{4} = 16

Step-by-step explanation:

The only wrong ones are

19)  ( \frac{-2}{5})^2 = \frac{4}{25}

20) -9^{2} = -81 ... negative is not inside a parenthesis that's why it is still negative

21) you can add another way is 2^{4} = 16

Everything else looks good.  Great job!

4 0
3 years ago
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