Number 13 Find the measures of angles 1, 2, and 3.

Mathematics

1 answer:

Greeley [361]3 years ago

4 0

Answer:

1. 37

2. 26

3. 26

Step-by-step explanation:

Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.

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A ball is kicked in the air. The height of the ball can be calculated using the equation h(t) =-16t^2+64t+190, where h is in hei

gregori [183]

Answer:

Therefore the ball strikes the ground 5.98 s after kick.

Step-by-step explanation:

Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation $h(t)=-16t^2+64t+190$ where h is height in feet and t is time in second.

When the ball touches the ground then the height will be zero.

i.e h(t)=0

Therefore

$-16t^2+64t+190=0$

$\Rightarrow -2(8t^2-32t-95)=0$

Since -2≠0 then $(8t^2-32t-95)=0$

$(8t^2-32t-95)=0$

[The solution of a quadratic equation ax²+bx+c=0 is

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ here a=8, b=-32 and c=-95]

$\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}$

$\Rightarrow t =\frac{32\pm\sqrt{4064} }{16}$

Therefore t= 5.98 or -1.98

since time can not be negative So , t=5.98 s

Therefore the ball strikes the ground 5.98 s after kick.

5 0

3 years ago

-2/5n = -30 n=<br><br> can some one help pleaasee

kirill115 [55]

-2/5n=-30n
multiply both sides by -1 sinc I don' like negatives
2/5n=30n
multipl yboth sides by 5/2
1n=150/2n
n=75n
this is obviously false, the only number that would work is 0 since 0 =0 times 75

n=0

4 0

3 years ago

Please help a girl out

xxMikexx [17]

Answer:

Quadratic formula is in the 2nd picture.

Step-by-step explanation:

Answers in the photo.

Solve the equation for r by finding a,b, and c of the quadratic then applying the quadratic formula.