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Yanka [14]
3 years ago
10

Which angle is formed by a secant and tangent line?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Check the picture below.

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PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the tr
Greeley [361]

Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

(b) Determine the scale factor from the first map to the second map.

(c)  A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?  

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

Length =4cm <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>

(b) The scale factor

The scale factor (k) is calculated as:

k = \frac{New\ Length}{Old\ Length}

k = \frac{4cm}{8cm}\\

k = 0.5

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

k = \frac{New\ Length}{Old\ Length}

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

New\ Length = k * Old\ Length

When Length = 3cm

New\ Length = 0.5 * 3cm = 1.5cm

When Length = 4cm

New\ Length = 0.5 * 4cm = 2cm

When Length = 5cm

New\ Length = 0.5 * 5cm = 2.5cm

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

7 0
3 years ago
40% of 50 is what number
nikitadnepr [17]

20

Step-by-step explanation:

Step 1:

Let the number be 50 and to find 40% of  50 is given interms of expression as follows

To express the percentage the following strategy is used

Eg: 40% = 40/100

∴ To express 40% of 50 is

(40/100)*50

Step 2:

On simplification the above expression we could get

0.4*50

= 20

4 0
3 years ago
Read 2 more answers
The probability of rolling a 12 with two dice is 1/36. What is the
Alexandra [31]
Since the probability of roling 12 is 1/36 we subtract that from how many possibiliies there are and we do this
36/36 (or 1)-1/36=35/36
6 0
2 years ago
Read 2 more answers
Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at th
lord [1]

Answer:

Interest = $1.75

Step-by-step explanation:

Maria invest $600, and receives interest of $30 per year

We know that PRT/100= INTEREST

R=( 100*INTEREST)/(PT)

R = (100*30)/(600*1)

R= 3000/600

R= 5%

Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest

Interest= 350*5*1/100

Interest = $1.75

7 0
3 years ago
Hannah works at the mall selling book bags. She sold 35 book bags in 5 hours. How many book bags did she sell per hour?
erma4kov [3.2K]

Answer:

7 bags per hour

Step-by-step explanation:

To determine how many bags she sells per hour

Take the total number of bags and divide by the number of hours

35 bags/ 5 hours

7 bags per hour

5 0
2 years ago
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