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Natasha_Volkova [10]
3 years ago
11

Solving a right triangle (ROUND TO THE NEAREST TENTH)

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

--------------------------------------------------------------

sin40° = \frac{opposite}{hypotenuse} = \frac{a}{21}

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

--------------------------------------------------------------

cos40° = \frac{adjacent}{hypotenuse} = \frac{b}{21}

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

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Answer: -3

Step by Step Explanation: This type of equation is called slope-intercept form, y=mx+b; the slope is m, so the slope is -3
5 0
2 years ago
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Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

Amount in 4% account: $550

Amount in 5% account: $950

8 0
3 years ago
Helppp someone!! I’m giving brainliests to everyone
Annette [7]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

5x + y = 28

y = 2 - x

Substitute the given value of y into the equation 5x + y = 28

5x + 2 - x = 28

Solve the equation for x

Collect like terms

4x + 2 = 28

Move constant to R.H.S and change its sign

4x = 28 - 2

Subtract the numbers

4x  = 26

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

5 0
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I need help with this I’ll mark you as branliest
Leni [432]

Answer:

y=3x

Step-by-step explanation:

5 0
2 years ago
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