Answer:
the answer is A. 2370 sq. in
Step-by-step explanation:
area of the triangles first
A = 1/2 ad
a = (45 in) (20 in)
a = 1/2 (900 sq in)
a = 450 sq in
***remember to multiply 450 * 2 because you have 2 triangles***
Total area of both triangles is 900 sq. in.
Find the area of the 3 rectangles A = LW
1st rectangle and 2nd rectangle
a = cb
a = (30 in) (14 in)
a = 420 sq in. (make sure you add this again in the Total Surface area)
3rd rectangle
a = ab
a = (45 in) (14 in)
a = 630 sq. in
Total Surface area = 2 (1/2 ad) + 2(cb) + (ab)
= 2 (450 sq. in) + 2 (420 sq. in) + 630 sq. in
= 900 sq. in + 840 sq. in + 630 sq. in
= 2370 sq. in
correct answer is option d.
<u>Step-by-step explanation:</u>
Here, we have The following expression to check Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2 :
<u>a. x3 + 3x2 − 5x − 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>b. x3 + 2x2 − 3x − 6
</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒ 
. So, this isn't the one. We move on further!
<u>c. x3 − 3x2 − 5x + 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>d. x3 − 2x2 − 3x + 6</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒
= 0.
Therefore, correct answer is option d.
Answer:
99fht
Step-by-step explanation:
the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
brainly.com/question/654982
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