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horsena [70]
3 years ago
7

A gate is made up of a rectangle and a semicircle as shown.find the area of the gate

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0
Do you have the measurements of the figure
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Given that cos 63°≈ 0.454, enter the sine of a complementary angle.<br> sin
jek_recluse [69]

Answer:

\cos(63^\circ) is the same as \sin(27^\circ) by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

  • sin (90° – x) = cos x
  • cos (90° – x) = sin x

This means that \cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454.

4 0
2 years ago
At a bargain store.Tanya bought 5 items that each cost the same amount. Tony bought 6 items that each cost the same amount, but
Ray Of Light [21]

(A) For x representing the cost of one of Tanya's items, her total purchase cost 5x. The cost of one of Tony's items is then (x-1.75) and the total of Tony's purchase is 6(x-1.75). The problem statement tells us these are equal values. Your equation is ...

... 5x = 6(x -1.75)

(B) Subtract 5x, simplify and add the opposite of the constant.

... 5x -5x = 6x -6·1.75 -5x

... 0 = x -10.50

... 10.50 = x

(C) 5x = 5·10.50 = 52.50

... 6(x -1.75) = 6·8.75 = 52.50 . . . . . the two purchases are the same value

(D) The individual cost of Tanya's iterms was $10.50. The individual cost of Tony's items was $8.75.

6 0
3 years ago
Solve the simultaneous equations:<br> 3x + 2y = 35 <br> 2x + 3y = 30
lesya [120]

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

5 0
3 years ago
Help!!!!!<br> factor 3^2+15x-42
nydimaria [60]

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

8 0
3 years ago
Is 2x=4y a linear equation?
almond37 [142]
Si it is a linear eqaution
6 0
4 years ago
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