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3 years ago

Malia tried to prove that cos pheta = sin 90 degrees - pheta using the following diagram. her proof is not correct.

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer:

Malia used the wrong sides in her ratio for sin (90-0)

Step-by-step explanation:

Got it right on Khan academy

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Janelle types at the rate of Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. Of a page per minute

Lesechka [4]

Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute

Step-by-step explanation:

Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.

For that same reason, option B is wrong as well. 2 > 3/8.

1/2 > 3/8 so Option C is wrong for the same reason as the options above.

To test option D;

If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.

Assume the much she can type is x;

3/8 : 1

x : 2/3

1x = 3/8 * 2/3

x = 1/4

Option D is therefore correct.

6 0

3 years ago

Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).

masya89 [10]

answer

he is simple following addition rule

3 0

4 years ago

5. What are the forms in which carbon is found in the oceans?

masha68 [24]

Answer: There are two main types of inorganic carbon that are found in the oceans. Dissolved inorganic carbon (DIC) is made up of bicarbonate (HCO3−), carbonate (CO32−) and carbon dioxide (including both dissolved CO2 and carbonic acid H2CO3).

7 0

3 years ago

A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation

Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

$h=\frac{9.495}{4.5}$

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

5 0

3 years ago

Factor completely.

Virty [35]

Answer:(5x+3)(4x2+1)

Step-by-step explanation:

20x3-12x2+5x-3

Final result :

(4x2 + 1) • (5x - 3)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((20 • (x3)) - (22•3x2)) + 5x) - 3

Step 2 :

Equation at the end of step 2 :

(((22•5x3) - (22•3x2)) + 5x) - 3

Step 3 :

Checking for a perfect cube :

3.1 20x3-12x2+5x-3 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 20x3-12x2+5x-3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 5x-3

Group 2: 20x3-12x2

Pull out from each group separately :

Group 1: (5x-3) • (1)

Group 2: (5x-3) • (4x2)

-------------------

Add up the two groups :

(5x-3) • (4x2+1)

Which is the desired factorization

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 4x2+1

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 5.00

-1 2 -0.50 2.00

-1 4 -0.25 1.25

1 1 1.00 5.00

1 2 0.50 2.00

1 4 0.25 1.25

Polynomial Roots Calculator found no rational roots

Final result :

(4x2 + 1) • (5x - 3)

4 0

3 years ago