3 miles.
1 mile + 1 mile = 2 miles
1/2 miles + 1/2 miles = 1 mile
:)
Answer:
Side x is adjacent to 30° angle.
<u>Correct method is:</u>
- cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99
Diego is correct and Steven is wrong.
- when finding <u>sine</u> consider the <u>opposite side to the angle</u>, not hypotenuse
- when finding <u>cosine</u> consider <u>adjacent side to the angle,</u> not hypotenuse
The surface area of the parallelogram based prism is 1548 units squared.
<h3>Surface area of a parallelogram based prism.</h3>
The prism has 2 parallelogram base and 4 rectangular faces.
Therefore,
surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces
Therefore,
surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)
surface area of the prism = 2(204) + 2(247) + 2(323)
surface area of the prism = 408 + 494 + 646
surface area of the prism = 1548 units²
learn more on prism here: brainly.com/question/22786015
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Answer:
f(2+h)=-(h+2/3)^2+1/4
f(x+h)=-(x+h-1/2)^2+1/4
Step-by-step explanation:
1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)
=-(h+2/3)^2+1/4
2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.
a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.
Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9