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fenix001 [56]
3 years ago
14

What is the answer of the expression 325-[4x(58-19)+(75 divided by 3

Mathematics
1 answer:
inna [77]3 years ago
4 0
325 - [4(58 - 19) + (75 / 3)]

Divide:

325 - [4(58 - 19) + 25]

Distribute 4:

325 - [232 - 76 + 25]

Subtract:

325 - [156 + 25]

Add:

325 - [181]

Subtract:

144
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In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the
Doss [256]

Answer:

44

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

3 0
3 years ago
Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

4 0
2 years ago
Read 2 more answers
Please help meeee!?!?!?!?!?!??!?!??
Daniel [21]

Answer:

Zero Slope

Step-by-step explanation:

3 0
3 years ago
Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation 6\sin\left(\dfrac{\pi }{5}x\right)=5 by 6:

\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.

Then

\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,

x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.

Since \arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},

four smallest positive solutions are

1. \dfrac{5}{3.2}\approx 1.568,\ k=0;

2. \dfrac{-5}{3.2}+5\approx 3.432,\ k=1;

3. \dfrac{5}{3.2}+10\approx 11.568,\ k=2;

4. \dfrac{-5}{3.2}+15\approx 13.432,\ k=3.

3 0
4 years ago
What is the range of the function f(x) = -2(6^x) + 3?
Naddika [18.5K]

Answer:

(-∞,3)

Explanation:

6 0
3 years ago
Read 2 more answers
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