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3 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

Vikentia [17]3 years ago

7 0

The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.

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Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

Applying the law of sines

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

$A=90^o$

Find the measure of angle C

In a right triangle

we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

therefore

$C=60^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

$A=90^o$

$B=30^o$

$C=60^o$

$a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units$

<em>Second case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

4 0

4 years ago

A flower bed in your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 14 feet and 11 feet. C

aev [14]

The area of the flower bed is 77 square feet

<h3>How to determine the area?</h3>

The given parameters are:

Shape = Triangle
Perpendicular sides = 14 feet and 11 feet

The area of the flower bed is calculated as:

Area = 0.5 * Product of perpendicular sides

So, we have:

Area = 0.5 * 14 * 11

Evaluate

Area = 77

Hence, the area of the flower bed is 77 square feet

Read more about areas at:

brainly.com/question/24487155

#SPJ1

3 0

2 years ago

For the following inequality, indicate whether the boundary line should be dashed or solid. x ≤ 5

lukranit [14]

Answer: The boundary lien should be solid because the inequality indicates that the value “5” is included. Remember: “greater than or equal to; less than or equal to,” as solid lines. While “<;>” are dashed lines.

6 0

4 years ago

The results of the math exam showed that three eighths of the students made an “A” and one third of them made a “B”. In total, h

grigory [225]

Answer:

b the answer is b

Step-by-step explanation:

idk what they mean but i got an 100 and i had this questin so a

3 0

4 years ago

Can you please find the missing side.

IrinaVladis [17]

Answer:

is the answer is 8 and 15?

7 0

3 years ago