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3 years ago

In the triangle below,

Mathematics

1 answer:

Greeley [361]3 years ago

7 0

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

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Help please solve for x.

Sedbober [7]

Answer:

$x=\frac{60}{7}\ units$ or $x=8\frac{4}{7}\ units$

Step-by-step explanation:

The correct question is

The two rectangles show are similar. Find the value of x

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

$\frac{20}{14}=\frac{x}{6}$

solve for x

$x=\frac{20}{14}(6)$

$x=\frac{120}{14}\ units$

simplify

$x=\frac{60}{7}\ units$

convert to mixed number

$x=\frac{60}{7}\ units=\frac{56}{7}+\frac{4}{7}=8\frac{4}{7}\ units$

4 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 = 32.3

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

Find the slope of a line with these two points (-1,2) and (4,-3)

GenaCL600 [577]

Answer:

-1

Step-by-step explanation:

-3-2=-5

4-(-1)=5

-5/5 simplifies to -1

7 0

3 years ago

Julie had $20.00 in her pocket. She spent $7.40. About what percent of her money does she still have?

posledela

63%

First, we have to take 20.00 - 7.40 which gets us 12.60.

Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.

We do 12.60 x 100 which makes 1260.

Lastly, we divide that by the 20.00 which gets us 63.

So, Julie has 63% of her money left.

I hope this helped!!!

4 0

1 year ago

How many feet of fencing would a farmer need if she wanted

Sauron [17]

Answer:

Well, it's the perimeter, so...40.

You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

$P = 2L+2W$

or you can factor it out.

7 0

3 years ago