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Ierofanga [76]
3 years ago
10

PLEASE HELP ME I NEG YOU I REALY NEEE DHELP

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0
1) PQ > PR
3) D
4) 2 > 11
5) D > E
10) acute


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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
On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone r
juin [17]

Answer:

\text{r}=5.5\text{c}-20

Step-by-step explanation:

GIVEN: On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question.

TO FIND: the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c.

SOLUTION:

Total number of incorrect questions =40-\text{c}

Total marks deducted due to incorrect question =(40-\text{c})\times0.5=20-0.5\text{c}

Total correct questions =\text{c}

Total marks scored =6\text{c}

Total raw marks \text{r}=\text{total marks gained}-\text{total marks deducted}

                           \text{r}=6\text{c}-(20-0.5\text{c})

                           \text{r}=5.5\text{c}-20

ormulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is  \text{r}=5.5\text{c}-20

7 0
3 years ago
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