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Kazeer [188]
2 years ago
5

Determine the approximate length of AC

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:

B:   7.07 units

Step-by-step explanation:

We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.

Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.

a² + b² = c²

1² + 7² = c²

1 + 49 = c²

c² = 50

c = √50

c = 7.07

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A taxi covers 330 km distance in 6 hours. 1 Find the speed of the taxi in km per hour 1 How many kilometres does it travel in 8
TEA [102]

Answer:

55km(per hour)

440km(8hours)

Step-by-step explanation:

1)330÷6=55km

1)55×8=440km

3 0
2 years ago
Allie and Ezra are sitting on flagpoles, throwing beanbags at each other. Allie's flagpole is $35$ feet tall. Ezra's flagpole is
Vedmedyk [2.9K]

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

H^{2} = B^{2} + A^{2}

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

H^{2} = 15^{2} + 8^{2}

H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

To learn more about Pythagoras theorm from the given link

brainly.com/question/343682

#SPJ4

5 0
2 years ago
Derek has 12 shirts in his closet. if 2 out of every 3 of these shirts are striped, how many striped shirts does derek have in h
Mila [183]
There would be 8 striped shirts.
6 0
3 years ago
Which of the following correlation coefficients would represent the strongest correlation? -0.9 -0.16 0.04 .78
kolezko [41]

Answer:

0.4 would represent the strongest correlation.

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation

8 0
2 years ago
10p = 66 what is the value of p
Zepler [3.9K]
The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.
6 0
3 years ago
Read 2 more answers
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