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Burka [1]
3 years ago
7

What is the portion if the base is 450 and the rate is 19%

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

portion = 85.50

Step-by-step explanation:

Rate = (\frac{Portion}{Base})*100%

Rate = 19%, Base = 450

19 = \frac{portion}{450} \times 100\\\\19 \times 450 = portion \times 100\\\\\frac{8550}{100} = portion \\\\portion = 85.50

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Point B is a point of tangency. Find the radius r of OC.
Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = \frac{576}{36}

r = 16 units

6 0
3 years ago
5-2 square root x =11
timama [110]

Answer:

no solutions

Step-by-step explanation:

5 -2 sqrt(x) = 11

Subtract 5 from each side

5- 5 -2 sqrt(x) = 11-5

-2 sqrt (x) = 6

Divide each side by -2

-2/-2 sqrt(x) = 6/-2

sqrt(x) = -3

The sqrt(x) must be 0 or positive

no solutions

3 0
3 years ago
What is the value of x in the equation 4(2x + 10) = 0? (1 point)
miskamm [114]

Answer:

x = -5

Explanation:

4(2x + 10) = 0

[ Simplify both sides of the equation ]

4(2x + 10) = 0

(4)(2x) + (4)(10) = 0 [Distribute]

8x + 40 = 0

[ Subtract 40 from both sides ]

8x + 40 − 40 = 0 − 40

8x = −40

[ Divide both sides by 8 ]

8x  / 8 = −40 / 8

x = -5

4 0
3 years ago
Can someone help me with this question, please. The problem is attached.
fomenos

It is a reflection across the y axis, then a translation to the right 2 units.  


I hope this helps!  If you have more you want help with I can help.  

3 0
3 years ago
Diffence of 86.42 -2.1.
lutik1710 [3]

Answer:

84.32

therefore the answer is A

3 0
3 years ago
Read 2 more answers
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