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3 years ago

Questions 1 3 5 7 range and graph not needed

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

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From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of

Umnica [9.8K]

$\large\bold{{Question :}}$

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.

$\large\bold\red{\underline{Solution :-}}$

Here, O is the center of the circle.

⟼ Given :

OQ = 25 cm
PQ = 24 cm

⟼ To Find : We have to find the radius OP.

Since QP is tangent, OP perpendicular to QP.

(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)

So, ∠OPQ=90°

⟼ By Applying Pythagoras Theorem :

OP² + RQ² = OQ²

OP² + (24)² = (25)²

OP² = 625 - 576

OP² = 49

OP = √49

OP = 7 cm

Hence, The Radius is 7 cm

⠀⠀

⠀

<h3>-MissAbhi</h3>

7 0

2 years ago

Read 2 more answers

Hamzah's soccer team is trying to raise $620 to travel to a tournament in Florida, so they decided to host a pancake breakfast.

Kobotan [32]

Answer:

31 people

Step-by-step explanation:

Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida

The soccer team decide to organise a pancake breakfast

Each person that attends the breakfast must pay $20

Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows

= 620/20

= 31

Hence 31 people need to be in attendance inorder to raise $620

5 0

3 years ago

7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.

Elenna [48]

You would most likely use kilometers to get the distance from here to there.

7 0

3 years ago

A and B are vertical angles. If A = 4x - 10 and B = 6x - 30, find mA.

Andru [333]

vertical angles
m<A = m4x - 10 = 6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10

m<A = 4x - 10
m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30

5 0

3 years ago

Read 2 more answers

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Svetradugi [14.3K]

Answer:

The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

Let $\hat p$ = sample proportion

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

n = sample size = 349

p = population proportion = 0.04

Now, the probability that the sample proportion will be less than 0.05 is given by = P( $\hat p$ < 0.05)

P( $\hat p$ < 0.05) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } }$ ) = P(Z < 0.86) = 0.80511

The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.

Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.

5 0

4 years ago