All categories

3 years ago

Find a. Round to the nearest tenth: 2 cm с 150 1050 a = = [? ]cm

Mathematics

1 answer:

VLD [36.1K]3 years ago

6 0

Answer:

a = 1.8 cm

Step-by-step explanation:

Here. we want to find the value of a

To do this, we are going to use the sine rule

it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle

From the diagram, we have that;

The angle facing a is;

180-15-105 = 60

So, we have that

a/sin 60 = 2/sin 105

a = 2sin 60/sin 105

a = 1.794 cm

You might be interested in

If f(x)=4x+8 and g(x)=√x+4, what is (f*g)(12)?

liraira [26]

Answer:

Step-by-step explanation:

7 0

3 years ago

Can some one help me on 11- 12

Ivan

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!!

6 0

3 years ago

Read 2 more answers

HELP ASAP WILL GIVE BRAINLIST

Ainat [17]

Answer:

n = 975

Step-by-step explanation:

$a_1 = 5 = 5 \times 1\\a_2 = 10 = 5 \times 2\\\\Therefore, \ a_n = 5 \times n\\$

$Given \ a_n = 4875\\\\So, a_n = 5 \times n \\\\=> 4875 = 5 \times n\\\\=>\frac{4875}{5} = n\\\\=> 975 = n$

4 0

3 years ago

Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

$scale\ factor=4$

Since:

$4>1$

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

$(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)$

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

8 0

4 years ago

At Haines Elementary, 30% of the 120 teachers were male. The following school year, several new teachers were hired. The number

Lilit [14]

Hey there!

<span>At Haines Elementary, 30% of the 120 teachers were male. The following school year, several new teachers were hired. The number of female teachers remained the same, but the number of males increased to 40%. How many new male teachers were hired?
Answer: 21 male teachers were hired

Hope this helps
Have a great day (:
</span>

8 0

4 years ago