Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.
<h3>What is the sharing ratio?</h3>
The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.
Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).
<h3>Data and Calculations:</h3>
Quantity of pencils bought = 1.5 pounds
Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)
The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)
Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.
Learn more about sharing ratios and ratios at brainly.com/question/26254916
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Answer:
$1,100
Step-by-step explanation:
first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100.
Hope that helped!
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
