All categories

3 years ago

PLease help me it says use cosine law

Mathematics

2 answers:

zubka84 [21]3 years ago

7 0

Answer:

59 degrees

Step-by-step explanation:

law of cosines states that

for sides A B C and angle c opposite to side C,

$C = \sqrt{A^2 + B^2-2ABcos(c)} \\cos(c) = \frac{c^2-a^2-b^2}{-2ab}$

cos(b) = $\frac{13^2-6^2-15^2}{-2(6)(15)} = 23/45$

cos-1(23/45) = b

b = 59

zysi [14]3 years ago

6 0

Answer:59

Step-by-step explanation:

C2=a2+b2-2ab cosC

13x13=15x15+6x6-2(15)(6)cosC

169=225+36-180cosC

169=261-180cosC

-92=180cosC

-92/-180=cosC

C=arccos92/180. On your calculator it will say cos-1

C=59.23 or m<B = 59. Rounded to the nearest degree.

You might be interested in

Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that

Andre45 [30]

Answer:

$Laura = 0.60$

$Billy = 0.50$

0.60 > 0.50

Step-by-step explanation:

Given

$Laura = 60\ shades$

$Billy = 50\ shades$

Required

Represent using decimal number and compare

From the question, we understand that there are 100th grids;

So:

$Laura = \frac{60}{100}$

$Laura = 0.60$

$Billy = \frac{50}{100}$

$Billy = 0.50$

Comparing both decimals;

Since 0.60 is greater than 0.50, we have:

0.60 > 0.50

3 0

3 years ago

I need help with this :-/

slega [8]

you have shown that 2 angles and the corresponding side are congruent. That is what we would write in the UK

In the US i think its ASA?

5 0

3 years ago

Need answer please, linear equations.<br>

Rus_ich [418]

Answer:B

Step-by-step explanation:

Mark two points; (3,3) & (0 , 1)

$Slope =\dfrac{1-3}{0-3}\\\\=\dfrac{-2}{-3}\\\\\=\dfrac{2}{3}$

y = mx + b

Plugin x = 0 and y = 1

1 = 0 + b

1 = b

$y=\dfrac{2}{3}x+1$

5 0

3 years ago

Hadley wants 0.3 of the flowers in her arrangement to be roses and the rest daisies. What percentage of the flowers will be rose

olga_2 [115]

The percentage will be 30% I'm sure hope helped

4 0

3 years ago

Read 2 more answers

Plz help i need this answer to pass

zysi [14]

Answer:

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the line on the graph.

The general equation in slope-intercept form is: $y=mx+b$

Where m is slope and b is y-intercept

Finding slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}\\$

Looking at he graph we have

$x_1=3, y_1=-4, x_2=6, y_2=-2$

Putting values in formula and finding slope:

$Slope=\frac{-2-(-4)}{6-3}\\\\Slope=\frac{-2+4}{3}\\Slope=\frac{2}{3}$

So, we get slope m = 2/3

Using slope m=2/3 and point (3,-4) we can find y-intercept

$y=mx+b\\\\-4=\frac{2}{3}( 3)+b\\-4=2+b\\b=-4-2\\b=-6$

So, y-intercept b = -6

The equation of line having m=2/3 and b=-6 will be:

$y=mx+b\\y=\frac{2}{3}(x)-6$

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

7 0

3 years ago