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mars1129 [50]
3 years ago
10

1) I I ? 20- A) 999 C) 1219 B) 39° D) 1020

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

C

Step-by-step explanation:

\angle{VUW} = 180 - 141 = 39

\angle{WVU} = 180 - (20 + 39) = 121

Answer: 121

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In an examination 80% students passed. if 15 less have appeared and 10 less have passed, the ratio of passers to failures would
Nina [5.8K]

Answer:

60 students passed, and 75 appeared in examination.

Step-by-step explanation:

Let's say s is the total number of students and p is the number of students who passed.

80% of the students passed, so:

0.8 s = p

If there were 10 less passers, and 15 less students (5 less failures), then the ratio of passers to failures would be 5/1.

(p − 10) / (s − p − 5) = 5 / 1

Simplify the second equation:

p − 10 = 5 (s − p − 5)

p − 10 = 5s − 5p − 25

6p = 5s − 15

Substitute the first equation.

6 (0.8 s) = 5s − 15

4.8 s = 5s − 15

0.2 s = 15

s = 75

p = 0.8 s

p = 60

60 students passed, and 75 appeared in examination.

5 0
3 years ago
Which of the following is not a tool that can be used in a true Geometric construction? a)Protractor b)Compass c)Straightedge
AleksAgata [21]

Answer:

A) Protractor

Step-by-step explanation:

In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.

The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.

4 0
3 years ago
Read 2 more answers
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
Find the value of c that makes the expression a perfect-square<br>trinomial.<br>• 6) x2 + 26x + c​
slava [35]
The value of c would be 169
8 0
3 years ago
Green's Flowers delivers standard flower
laiz [17]

Answer Greens charges less by 14.2%

4 0
3 years ago
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