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katrin2010 [14]
3 years ago
12

Find AD. Show how you got your answer.

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0
Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half

notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base

now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
----------------------------\\\\
\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

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For which values of P and Q result in an equation with no solutions -68+P=Qx+34
Vikentia [17]

Answer:

                                                                                                                                             

Step-by-step explanation:

                                                                                                                                     

8 0
3 years ago
Read 2 more answers
Let sets A and B be defined as follows.
zhenek [66]

Answer:

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Step-by-step explanation:

Given

A is the set of integers greater than - 7 and less than - 3

B={c, h, j, k, v, y}

For set A:

The integers greater than -7 will be -6,-5 ....

As the set has integers less than -3, the set will be:

A = \{-6,-5,-4\}

<u>Cardinalities:</u>

Cardinality is the number of elements in the set.

So,

n(A) = 3\\n(B) = 6

Now for the statements:

-6 ∈ A        True as -6 is a member of set A

-14 ∈ A       False as -14 is not a member of A

k ∈ B          True

Q∈B            False

Hence,

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

5 0
3 years ago
Find the area of the figure to the nearest tenth.
Inga [223]

Answer:

26.58 this might be the answer

Step-by-step explanation:

4 0
3 years ago
Yo i neeed help!
notsponge [240]

Answer:

A.)

Step-by-step explanation:

15 multiplied by 14 is the total number of women’s players.

14(m) is our unknown amount of men’s teams

Which has to be less than the amount of players who can register 476

6 0
3 years ago
How do u solve this need answers
Ket [755]

By splitting the shape into a semi-circle and rectangle, we can see that we have a semi-circle with a diameter of 14 cm and a rectangle with dimensions of 28 cm by 15 cm. To find the area of the entire shape, we can add the areas of the two shapes up.


We can find the area of the semi-circle using the formula \frac{\pi r^2}{2}, where r is the radius of the semi-circle. In this case, the area would be:

\dfrac{\pi (14)^2}{2} = \dfrac{196\pi}{2} = 98 \pi \,\,\textrm{cm}^2


The formula for the area of a rectangle is lw, where l is the length of the rectangle and w is the width. In this case, the area would be:

(28)(15) = 420 \,\,\textrm{cm}^2


Thus, the area of the total shape is:

98 \pi \,\,\textrm{cm}^2+ 420 \,\,\textrm{cm}^2 \approx \boxed{727.88 \,\,\textrm{cm}^2}

6 0
3 years ago
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