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3 years ago

Write a number sentence to name the difference between point a and point b

Mathematics

1 answer:

oee [108]3 years ago

8 0

A-b=c
one answer is
hihihihi

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3 years ago

Cos(a) 63/65 to find sin(a) and tan(a)

Semenov [28]

Answer:

$\huge\boxed{\sin\alpha=-\dfrac{16}{65},\ \tan\alpha=-\dfrac{16}{63}}\\\\or\\\\\huge\boxed{\sin\alpha=\dfrac{16}{65},\ \tan\alpha=\dfrac{16}{63}}$

Step-by-step explanation:

$\cos\alpha=\dfrac{63}{65}\\\\\text{use}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\alpha+\left(\dfrac{63}{65}\right)^2=1\\\\\sin^2\alpha+\dfrac{3969}{4225}=1\qquad\text{subtract}\ \dfrac{3969}{4225}\ \text{from both sides}\\\\\sin^2\alpha=\dfrac{4225}{4225}-\dfrac{3969}{4225}\\\\\sin^2\alpha=\dfrac{256}{4225}\to\sin\alpha=\pm\sqrt{\dfrac{256}{4225}}\\\\\sin\alpha=\pm\dfrac{\sqrt{256}}{\sqrt{4225}}\\\\\sin\alpha=\pm\dfrac{16}{65}$

$\text{use}\ \tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}\\\\\text{substitute:}\\\\\tan\alpha=\dfrac{\pm\frac{16}{65}}{\frac{63}{65}}=\pm\dfrac{16}{65}\cdot\dfrac{65}{63}=\pm\dfrac{16}{63}$

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4 years ago

Read 2 more answers

The angle measurements in the diagram are represented by the following expressions

KIM [24]

Answer:

x = 12

∠A = 144

Step-by-step explanation:

+ We have: ∠A = ∠C (alternate interior)

∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

4x = 48

x = 12

+ ∠A = 10x + 24

∠A = 10 x 12 + 24

∠A = 144

7 0

3 years ago