All categories

3 years ago

What is the value of d?

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Ok so this picture may look super super complicated but it's actually not too terrible.

The best (and only) way to start this problem is to find angle "b". To find angle "b" you can use the 107° angle next to it. When two angles are made by crossing lines the angles next to each other will always add up to 180°. so in that case:

107+b=180

b=73

Now that we know what b is we can just use our incredibly extensive knowledge of those three sided shapes I like to call triangles. If you look at the picture you can see that angles d, b(73°) and 45° make a triangles and all of them together will add up to 180° because there are 180° in a triangle. So...

d+73+45=180

d+118=180

(Disclaimer: there is another way to solve this problem but I like that way the best)

Here's the other way (i'm not going to explain this super in depth tho).

Angle a must be 45 because of the alternate angle theorem. d+a must be 107 because of the alternate angle theorem.

d+45=107

d=62

Zanzabum3 years ago

7 0

Answer: 62

Step-by-step explanation:

We know that a straight line= 180,

So look at the 107,

Do 180-107 for the value of b

Which = 73,

So b=73

No add 45 to 73 which gives 118,

Now we know that all 3 angles in a triangle is 180,

So finally we do 180-118= 62

You might be interested in

PLEASE HELP MEEEEEEEE I HAVE 15 MINUTES LEFT

Pavel [41]

THE ANSWER SHOULD BE C AND B

3 0

3 years ago

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

bixtya [17]

The correct option is (b) h=0.5cos( $\pi$ /6t)+9.5.

The equations can be used to model the height as a function of time, t, in hours is h=0.5cos( $\pi$ /6t)+9.5.

<h3>Equation of cosine function:</h3>

The following is a presentation of the cosine function's generic form;

y = a + cos(bx - c) + d

amplitude = a

b = cycle speed

Calculation for the model height;

The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Obtain amplitude 'a' as

$\begin{aligned}a &=\frac{\text { Maximum value }-\text { Minimum value }}{2} \\a &=\frac{10-9}{2} \\a &=\frac{1}{2} \\a &=0.5\end{aligned}$

The time 'T' is calculated as-

$\begin{aligned}&\mathrm{T}=\frac{2 \pi}{\mathrm{b}} \\&12=\frac{2 \pi}{\mathrm{b}} \\&\mathrm{b}=\frac{2 \pi}{12} \\&\mathrm{~b}=\frac{\pi}{6}\end{aligned}$

Now, calculate 'd'

$\begin{aligned}&\mathrm{d}=\frac{\text { Maximum value }+\text { Minimum value }}{2} \\&\mathrm{~d}=\frac{10+9}{2} \\&\mathrm{~d}=\frac{19}{2} \\&\mathrm{~d}=9.5\end{aligned}$

Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:

h=0.5cos( $\pi$ /6t)+9.5

To know more about the general equation of a cosine function, here

brainly.com/question/27587720

#SPJ4

The complete question is-

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

A. h=0.5cos( $\pi$ /12t)+9.5

B. h=0.5cos( $\pi$ /6t)+9.5

C. h=cos( $\pi$ /12t)+9

D. h=cos( $\pi$ /6t)+9

7 0

2 years ago

Answer this pls thank u,

natta225 [31]

The answer is D, the yellow

5 0

3 years ago

Surface area of a sphere is 615.752 m2, what is the volume of the sphere?