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timama [110]
2 years ago
9

I need help I'm stuck on this

Mathematics
1 answer:
ddd [48]2 years ago
5 0

a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

<h3>Trigonometry </h3>

From the question, we are to determine the length of p

From the <em>Pythagorean theorem</em>, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

b)

Measure of angle P

Using SOH CAH TOA

cos P= \frac{21}{30}

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

Learn more on Trigonometry here: brainly.com/question/17831932

#SPJ1

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Can someone help me with this
VikaD [51]

Answer:

A. y = 3x.

Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.

6 0
2 years ago
in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio
valina [46]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

4 0
3 years ago
Each side of WRD is 3 inches long what id the measure of each angle in WRD
ira [324]

Answer:

60 degrees

Step-by-step explanation:

If each side of the triangle WRD is 3 inches long, then WRD is an equilateral triangle, meaning all angles are the same size. Since there are 180 degrees in a triangle, 180/3 = 60 degrees.

6 0
2 years ago
if the sum of a number and nine is doubled, the result is seven less than the number. find the number.
avanturin [10]
X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7

We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
x=-25

answer: the number would be:  -25.
3 0
3 years ago
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x
Helen [10]

Answer:

3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

6 0
3 years ago
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