Answer:
EF is 1.98
Explanation:
For right triangles, you solve for sides and angles using the trig. ratios. You remember then with the acronym SohCahToa.
It is read as:
<u>S</u>ine is <u>o</u>pposite over <u>h</u>ypotenuse.
<u>C</u>osine is <u>a</u>djacent over <u>h</u>ypotenuse.
<u>T</u>angent is <u>o</u>pposite over <u>a</u>djacent.
Which side is opposite or adjacent depends on which angle is the angle of reference, the angle you are talking about. The adjacent side touches the angle of reference.
In this problem, angle D can be the angle of reference.
Since we know DF the hypotenuse, and we are looking for EF, the opposite side, we should use the Sine ratio.
sin D = sin 26° ≈ 0.44
sin D = EF/DF = EF/4.5
Substitute sinD for 0.44 and then isolate EF.
0.44 = EF/4.5
0.44(4.5) = EF Multiply both sides by 4.5
EF = 1.98
The measurement of EF is 1.98.
You do 108 - 4x +8
then solve for x
The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
Learn more about Subtraction here:
brainly.com/question/17301989
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Answer:
<h2>
A-B = 11x²-9x+14</h2>
Step-by-step explanation:
Given the polynomial functions A = 7x^2-3x+10 and B = -4x^2+6x-4, we are to find the value of A - B.
A-B = 7x²-3x+10 - ( -4x²+6x-4)
open the parenthesis
A-B = 7x²-3x+10 + 4x²-6x+4
collect the like terms
A-B = 7x² + 4x²-3x-6x+10+4
A-B = 11x²-9x+14
<em>Hence the difference between both quadratic equation in standard form is 11x²-9x+14</em>
Answer:
Step-by-step explanation:
Let's solve the inequality step-by-step:
Step 1. Add 12 to both sides of the inequality
Step 2. Multiply both sides by -4 and reverse the inequality (since you are multiplying by a negative quantity)
We can conclude that the correct answer is the third option.