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myrzilka [38]
2 years ago
7

florence took a total of 12 quizzes over the course of 2 weeks. how many weeks of school will florence have to attend this quart

er before she will habe taken a total of 36 quizze?​
Mathematics
1 answer:
nikitadnepr [17]2 years ago
6 0

Answer:

Ghhhv

Step-by-step explanation:

Thghb

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Who can help me to solve these questions please?
ankoles [38]

Using the given information, length of QR = 16.6 cm

The area of the trapezium is 304.5 cm²

<h3>Calculating area of a trapezium</h3>

From the question we are to calculate the length of QR and the area of trapezium PQRS

In the given diagram,

Let the midpoint of PS be T

Then, we can write that

|OP|² = |OT|² + |PT|²  (<em>Pythagorean theorem</em>)

|OP| = radius = 13 cm

|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm

∴ 13² = |OT|² + 12²

169 = |OT|² + 144

|OT|² = 169 -144

|OT|² = 25

|OT| = √25

|OT| = 5 cm

Also, let the midpoint of QR be U

Then, we can write that

|OQ|² = |OU|² + |QU|² (<em>Pythagorean theorem</em>)

|OQ| = radius = 13 cm

From the given information,

The distance of QR from O is twice the distance of PS from O

∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm

Thus,

13² = ||² + 12²

169 = 10² + |QU|²

|QU|² = 169 -100

|QU|² = 69

|QU| = √69

|QU| = 8.3 cm

Now,

Length of QR = 2 × |QU| = 2 × 8.3 cm

Length of QR = 16.6 cm

b)

Area of the trapezium = 1/2(|QR| + |PS|) × |TU|

Area of the trapezium = 1/2(16.6 + 24) × 15

NOTE: |TU| = |OT| + |OU|

Area of the trapezium = 1/2(40.6) × 15

Area of the trapezium = 20.3 × 15

Area of the trapezium = 304.5 cm²

Hence, the area of the trapezium is 304.5 cm²

Learn more on Calculating area of trapezium here: brainly.com/question/3435635

#SPJ1

7 0
2 years ago
Melissa scored 120 points in each game how many points did she score in 10 games
Goshia [24]

Answer:

She scored 1200 in all ten games

5 0
2 years ago
Read 2 more answers
A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box? The formula for the vol
goblinko [34]

convert the feet to inches

1 foot = 12 inches

 so 1.5 ft =1.5*12 = 18 inches

 now multiply all 3

14*18*7 = 1764 cubic inches

8 0
3 years ago
A color printer prints 24 pages in 9 minutes. How many minutes does it take per page?
Gnom [1K]

Answer:

it gets almost 3 pages but it gets 2 pages per minute

Step-by-step explanation:

3 0
3 years ago
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = \frac{5+1}{k-4} = \frac{6}{k-4} = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0
3 years ago
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