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a school counts the number of students taking AMDM and find 221 students taking AMDM. they also count the number of students tak

Masja [62]

Answer:

33.195%

Step-by-step explanation:

AMDM: 221 students

Physics: 241 students

Taking both: 80 students

80/241 = ~33.195%

4 0

3 years ago

Zelda bought a blouse and a sweater for a total price of $79. The price of the sweater was $4 more than twice the price of the b

Bogdan [553]

A correct possibility could be $37.50 because 37.50 x 2 + 4 = 79

6 0

3 years ago

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam

Vitek1552 [10]

Answer:

Look to the explanation

Step-by-step explanation:

* Lets arrange the steps for bisecting angle ABC

- The vertex of angle ABC is B, and its rays are BA and BC

# Step 1:

- Place the compass on point B, and swing an arc that intersects rays

BA and BC ⇒ 5th

# Step 2:

- Place point D on the intersection of the arc on ray BA and point E on

the intersection of the arc with ray BC ⇒ 3rd

# Step 3:

- Place the compass on point D, and draw an arc inside the angle ⇒ 6th

# Step 4:

- Keeping the compass the same distance, place the compass on

point E, and draw an arc inside the angle ⇒ 2nd

# Step 5:

- Place point F on the intersection of the arcs created from points D

and E ⇒ 4th

# Step 6:

- Draw a ray from point B through point F ⇒ 1st

* This ray is the bisector of the angle ABC

7 0

4 years ago

Read 2 more answers

I need help please!!

kobusy [5.1K]

Answer: $DB \cong VT$

Step-by-step explanation:

All 3 sides need to be congruent.

5 0

2 years ago