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Leona [35]
4 years ago
11

Can anyone plz solve this for me??

Mathematics
1 answer:
Juliette [100K]4 years ago
6 0

Answer:

x = 33

Step-by-step explanation:

x/3 + 7 = 18

x/3 = 18 - 7

x/3 = 11

multiply both sides by 3

x = 33

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How to do question 27
GenaCL600 [577]
1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ)

Note:

 sin(90 + θ) = cosθ        Cosine and Sine are complementary.

cos(360 - θ) = cosθ      Cosine positive in 4th quadrant.

tan(-θ) = -tanθ          Negative angle concept.


1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ) =  1/(cosθcosθ)     -   (-tanθ)²

                                                                 =  1/(cos²θ)     -       tan²θ

                                                                  =  (1/cosθ)²     -       tan²θ
Note: 1/cosθ = secθ

                                                                 =  (secθ)²     -       tan²θ

                                                                  =  sec²θ     -       tan²θ

                                                                  =  1


Note that    1+ tan²θ = sec²θ is a Trigonometric identity.

That means:  sec²θ     -       tan²θ = 1

Hope this explains it.
5 0
3 years ago
Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F
Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran  3\frac{1}{2}  laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find :  About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle :  2\pi r

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

2\pi *0.25

0.5\pi

Since \pi =3.14

⇒0.5*3.14

⇒1.57

Thus the circular track is of 1.57 miles .

Since she ran   3\frac{1}{2}  = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence ,  Francine run 5.495 miles


6 0
3 years ago
Easy way of explaining integers?​
Andre45 [30]

Answer:

Step-by-step explanation:

3 Great Ways to Teach Adding Integers

Typically, you should begin by having your students think about real world examples of positive and negative integer. ...

Then, model this example using counter chips.

Finally, have your students model addition problems using the counter chips.

3 0
3 years ago
Read 2 more answers
The back of a park bench is in the shape of a regular trapezoid, as shown in the figure.
ioda

Answer:

a

two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft

7 0
4 years ago
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What is the area of this trapezoid?
vovangra [49]

Answer:

160

Step-by-step explanation:

= \frac{1}{2}(12+20)\times 10\\= 160

3 0
3 years ago
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