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yawa3891 [41]
2 years ago
8

Prove cos a = 5/13 pls solve it and no link pls..........​

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
3 0

<u>Answer</u> : The demonstration is below :)

Step-by-step explanation :

<u>We use Pythagoras' </u><u>theorem </u><u>:</u>

  • In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

  • In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}

t=\frac{-48}{-16},t=\frac{10}{-16}

t=3,t=-\frac{5}{8}

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0
3 years ago
1,034 / 95 as a mixed number
tia_tia [17]

Answer:

10 and 84/95

Step-by-step explanation:

First, you divide 1034 by 95 to see how many times it fits in there. Then, after it comes out to a ten with a lot of decimal points, you multiply 95 times 10, and then subtract the product from 1034 to see what the leftover fraction is. 95×10=950. 1034-950=84. Then, you look at 84/95 and see if it can be simplified-which it can't, so your final answer is 10  84/95.

(hope this helps, sry if its badly written)

7 0
3 years ago
What is (x − 3)(x − 5) = 35
JulijaS [17]

Answer:

x=10  x=-2

Step-by-step explanation:

(x − 3)(x − 5) = 35

FOIL

x^2 -5x-3x+15 = 35

Combine like terms

x^2 -8x+15 = 35

Subtract 35 from each side

x^2 -8x+15-35 = 35-35

x^2 -8x-20 =0

Factor

What 2 numbers multiply to -20 and add to -8

-10*2 = -20

-10 +2 = -8

(x-10)(x+2) =0

Using the zero product property

x-10 =0  x+2 = 0

x=10  x=-2

6 0
3 years ago
Find the value of 4th terms by using 3n-2​
Serga [27]
10 is the answer I think
7 0
3 years ago
Read 2 more answers
Need answers asap!!!!!!!!!!!!!!
IRINA_888 [86]

Answer:

The answer is

x equal -243

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3 years ago
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