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3 years ago

!!!25 POINT REWARD FOR ACCURATE COMPLETION!!!

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

Answer:

You have to Divide and then add

Step-by-step explanation:

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You are flying a kite and have let out 80m of string. The kite's angle of elevation with

frosja888 [35]

The kite is 51.42m above the ground

The set up is a right triangle with the following parameters;

Length of the string (hypotenuse) = 80m

Angle of elevation = 40 degrees

Required

Height of the kite above the ground

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 40 = H/80

H = 80sin40

H = 51.42m

Hence the kite is 51.42m above the ground

Learn more angle of elevation here: brainly.com/question/24847491

5 0

3 years ago

Solve the following:<br> 0 = 5x - 5x

Karo-lina-s [1.5K]

Answer: If we are Solving for X, then the answer would be, 0.

Step-by-step explanation: Both of the X's cancel each other out which then makes it 5 - 5 = 0, or, 0 = 5 - 5.

I hope this helped!

7 0

3 years ago

Convert 1.8 decimeters to millimeters

Genrish500 [490]

Answer:

180 millimeters

Step-by-step explanation:

There are 100 millimeters in a decimeter

3 0

4 years ago

Factor:

nekit [7.7K]

Answer:

a) $(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) $(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) $a = 0.7\cdot t^{9}$

d) There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) $(a^{3}+4)\cdot (a^{3}-4)$

Step-by-step explanation:

Now we proceed to solve each algebraic equation:

a) Factor $49\cdot m^{12}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot m ^{12}-16$

$(7\cdot m^{6})^ 2-4^{2}$

$(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) Factor $49\cdot a^{2}\cdot b^{16}-1$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot a^{2}\cdot b^{16}-1$

$(7\cdot a\cdot b^{8})^{2}-1^{2}$

$(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) Nicole is factoring $0.49\cdot t^{18}-25$ by using the rule $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . What will she use for the value of $a$ ?

From this rule we find that $a^{2} = 0.49\cdot t^{18}$ , that is:

$a^{2} = 0.49\cdot t^{18}$

$a^{2} = \frac{49}{100}\cdot t^{18}$

$a = \frac{7}{10}\cdot t^{9}$

$a = 0.7\cdot t^{9}$

d) Which binomial is a difference of squares?

A binomial is a difference of square if and only if $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) Factor $a^{6}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$a^{6}-16$

$(a^{3})^{2}-4^{2}$

$(a^{3}+4)\cdot (a^{3}-4)$

6 0

3 years ago

A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?

scZoUnD [109]

Answer:

Inside the circle

Step-by-step explanation:

Use the distance formula to find the distance between the center and the point.

d = √((x₁ − x₂)² + (y₁ − y₂)²)

d = √((-6 − 3)² + (3 − (-3))²)

d = √((-9)² + (6)²)

d = √(81 + 36)

d = √117

d ≈ 10.817

This is less than the radius of 11, so the point is inside the circle.

4 0

4 years ago