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weeeeeb [17]
3 years ago
11

The polar coordinates of a point are given. find the rectangular coordinates of this point.(5, 3pi/4

Mathematics
1 answer:
xeze [42]3 years ago
3 0
X would be r*cos theta and y  would be r*sin theta.

Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and    y is 5* sin 135 deg = 5*(1/sqrt(3))


Write this point in the form (x,y), using the above values for x and y.

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Find the value of AB.<br> 13<br> 12<br> A<br> В<br> AB = [?
Sedaia [141]

Answer:

AB=24

Step-by-step explanation:

CD is perpendicular to AB

If any radius or diameter is perpendicular to any chord of a circle, then it bisects that chord.

Mean, AB= BE = 12

So, AB = 2(BE)

2(12)= 24

so your answer will be 24

----------

hope it helps..

have a great day!!

5 0
2 years ago
Allison has 6 blue pencils and 10 yellow pencils.sadie has 24 pencils that are either blue or yellow.the ratio of blue pencils t
sammy [17]
6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).
So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.
3 0
3 years ago
Read 2 more answers
When solving for x, what is x squared plus 15 equals -8x
VLD [36.1K]

Answer:

x = - 5, x = - 3

Step-by-step explanation:

Given

x² + 15 = - 8x ( add 8x to both sides )

x² + 8x + 15 = 0 ← in standard form

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are 5 and 3, since

5 × 3 = 15 and 5 + 3= 8, thus

(x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
Evaluate the expression.<br> Drag the answer into the box to match the expression.
Lelu [443]

27.((3^{3})^{-1}  = 27.(27)^{-1} = 27 .\frac{1}{27} = 1

This is because 3^{3} = 3 x 3 x 3 = 9 x 3 = 27

And (27)^{-1}  means  \frac{1}{27}

For this reason, 27. (27)^{-1} = 1

Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.

5 0
3 years ago
Read 2 more answers
What is the value of x to the nearest tenth? The figure is not drawn to scale
Nataly [62]

Answer:

x=10.5

Step-by-step explanation:

if the two triangles were ratios it would be like

19.3:7.2 to x:3.9

so 75.27 = 7.2x

whcih is 10.45 which is approximately 10.5

8 0
2 years ago
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