All categories

2 years ago

Find the missing side lengths.

Mathematics

1 answer:

Nadya [2.5K]2 years ago

7 0

Answer:

Step-by-step explanation:

we can find using the trigonometric formulas

we can find y by using cosine.

cos = adj / hyp

cos 60 = y / 10

y = 10 cos 60

y = 5

now we can use the Pythagorean theorem since we have the base and hyp

a² + b² = c²

5² + b² = 10²

25 + b² = 100

b² = 75

b = 5√3

You might be interested in

The sales tax on a surfboard is $12. What is the percent of sales tax?

Rudik [331]

X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)

Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)

8 0

2 years ago

Find the exact value of each trigonometric function for the given angle θ.

Kay [80]

Answer:

$\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=\dfrac{2}{\sqrt{3}}.$

Step-by-step explanation:

The given angle is 240 degrees.

We need to find the exact value of each trigonometric function for the given angle θ.

Since $\theta=240$ , it means θ lies in 3rd quadrant. In 3d quadrant only tan and cot are positive.

$\sin (240^\circ)=\sin (180^\circ+60^\circ)=-\sin (60^\circ)=-\dfrac{\sqrt{3}}{2}$

$\cos (240^\circ)=\cos (180^\circ+60^\circ)=-\cos (60^\circ)=-\dfrac{1}{2}$

$\tan (240^\circ)=\tan (180^\circ+60^\circ)=\tan (60^\circ)=\sqrt{3}$

$\cot (240^\circ)=\cot (180^\circ+60^\circ)=\cot (60^\circ)=\dfrac{1}{\sqrt{3}}$

$\sec (240^\circ)=\sec (180^\circ+60^\circ)=-\sec (60^\circ)=-2$

$\csc (240^\circ)=\csc (180^\circ+60^\circ)=-\csc (60^\circ)=-\dfrac{2}{\sqrt{3}}$

Therefore, $\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=-\dfrac{2}{\sqrt{3}}.$

8 0

2 years ago

Urgent please help..

nlexa [21]

8.60 cm is the answer to your question and i used calculator.net for help

5 0

2 years ago

Read 2 more answers

nina saved 10% on her CD purchase. If the CD originally cost $24.90, how much would she save?, what would the new price be?

Yuliya22 [10]

To see how much she saved, you multiply 24.90 x 10 ÷ 100 (or to simplify it 24.90 ÷ 10) you should get 2.49, which you subtract from the original and get $22.41

8 0

3 years ago

In equilateral triangle DEF, m

svet-max [94.6K]

Answer:

please write the full questions

6 0

1 year ago