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Archy [21]
3 years ago
7

Use what you know about tangent lines to circles to solve for x

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0
X=5
Since both lines are tanget meaning the only touch the circle once, both sides will be the same we can set up an equation 33=x^2+8 which is 25=x^2 and square root both sides to get 5 equals x
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Im stuck need help me i don't get it
alexgriva [62]

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

<h3>Simplifying</h3>

find their highest common factor and divide both the numbers by the <u>same amount</u> (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

3 0
2 years ago
Read 2 more answers
A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
Please help me with this !!
Sergio [31]

Answer: AC = 7√3

tan 30° = \frac{BC}{AC}

=> \frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}

Step-by-step explanation:

3 0
3 years ago
Solve the following system of equations: <br> x − 2y = 5 <br> 2x − 4y = 10
sineoko [7]
The answer is no slotion 
4 0
3 years ago
Read 2 more answers
What is inequality x - 4 ‹ 0
lesya [120]

You simply add 4 to 0.

x-4<0

x<4


3 0
3 years ago
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