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 = 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
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Answer:
r ≤ 29, r-5
The sale price can be compared with the regular price, r-5 ≤ 24
Step-by-step explanation:
Amount to spend = $24
Regular price = r
Sale = $5
Sale Price = r-5
The regular price will be $5, at the max, more than the amount Roopesh has to spend.
The sale price will be $24 or less than that for Roopesh to afford.
Inequality for regular price:
r-5 ≤ 24
r ≤ 29
So, the product Roopesh can afford is $29 or less than that.
What is the unknown? r ≤ 29
Following expression can represent the sale price:
Sale price = r-5
The sale price can be compared with the regular price with the following:
Inequality representing the situation: r-5 ≤ 24
First you have to convert the numbers to the same units. Either m to cm or cm to m.
To go from meters to centimeters you multiply the number by 100.
7*100=700cm
Now you have 700cm/250cm. This needs simplified
I divided each number by 50 to get 14 and 5
14cm/5cm or 14cm:5cm
Remember that there are 16 cups in a gallon.
The pipe leaks 1.5 cups each day, so in one week, or 7 days, the cup leaks 1.5 times 7 cups, which equates to 10.5 cups per week.
To find this number in gallons, divide 10.5 by 16.
This equals .65625 gallons per week.
Hope this helps!
~Chrys
Answer:
A. 147
Step-by-step explanation:
Divide the polygon into rectangles.
You will have 2 rectangles:
1) 3 x 10
2) 9 x 13
Now you just need to find the area of this 2 rectangles and add them up.
